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1 1.021, 3.021, 10.333, 22.00 Introduction to Modeling and Simulation Spring 2012 Part II – Quantum Mechanical Methods Brief Introduction to Part II Lecture 0 Jeffrey C. Grossman Department of Materials Science and Engineering 1
Transcript
Page 1: 1.021, 3.021, 10.333, 22.00 Introduction to Modeling and ......1 1.021, 3.021, 10.333, 22.00 Introduction to Modeling and Simulation Spring 2012 Part II – Quantum Mechanical Methods

1

1021 3021 10333 2200 Introduction to Modeling and Simulation Spring 2012

Part II ndash Quantum Mechanical Methods

Brief Introduction to Part II Lecture 0

Jeffrey C Grossman Department of Materials Science and Engineering

1

Content overview

I Particle and continuum methods 1 Atoms molecules chemistry 2 Continuum modeling approaches and solution approaches 3 Statistical mechanics 4 Molecular dynamics Monte Carlo 5 Visualization and data analysis 6 Mechanical properties ndash application how things fail (and

how to prevent it) 7 Multi-scale modeling paradigm 8 Biological systems (simulation in biophysics) ndash how proteins

work and how to model them

II Quantum mechanical methods 1 Itrsquos A Quantum World The Theory of Quantum Mechanics 2 Quantum Mechanics Practice Makes Perfect 3 The Many-Body Problem From Many-Body to Single-

Particle 4 Quantum modeling of materials 5 From Atoms to Solids 6 Basic properties of materials 7 Advanced properties of materials 8 What else can we do

2

Computer Hardware Historical Milestones

1946 Eniac Ops 5000 Sq ft 3000

1952 IBM SSEC Ops 2000 Sq ft 1000

1951 MIT Whirlwind Ops 200000 Sq ft 3100

1964 CDC 6600 Ops 3000000 Sq ft 3100

1968 Apollo Guide Apollo 7amp11 missions

1971 Kenbak-1 First personal computer 256 Bytes of memory

1974 Xerox Alto Built-in mouse Connect to network

Images are historical and promotional photos copy sources unknown All rights reserved This content is excludedfrom our Creative Commons license For more information see httpocwmiteduhelpfaq-fair-use3

JCG Personal Computer History

Tandy TRS-80 (aka ldquoTrash-80rdquo) Atari 400 (note the stylish keyboard)

Start-up screens

Images are historical and promotional photos copy sources unknown All rights reserved This content is excludedfrom our Creative Commons license For more information see httpocwmiteduhelpfaq-fair-use

4

Multi-scale modeling

quantum

modeling

Courtesy of Elsevier Inc httpwwwsciencedirectcom Used with permission5

6Photos copy unknown All rights reserved This content is excluded from our CreativeCommons license For more information see httpocwmiteduhelpfaq-fair-use

7

Movies of a Quantum Ball Thrown into a Wall

8

Courtesy of Bernd Thaller Used with permission

Example Diels-Alder Reaction 13-butadiene + ethylene rarr cyclohexene

Courtesy ChemWiki

Predicting what these electrons do is what gives us those much-needed energy curves ndash quantum mechanics is key

9

See Lecture 1 video for animation copy James E KendallMSC Caltech All rightsreserved This content is excluded from our Creative Commons license Formore information see httpocwmiteduhelpfaq-fair-use

euro

A Little Bit of Schroumldinger

Written out explicitly the Schroumldinger equation looks like this

2 $ part 2 part 2 part 2 - partΨ(rt)+minus amp ) + V Ψ(rt) = i 2m partx 2 +

party 2 + partz2 ( partt

sect is the wavefunction for the system of particles which characterizes the particlersquos motion One can derive all properties of the system of particles from its wavefunction

sect We no longer ask ldquoWhere isare the particle(s)rdquo but instead ask ldquoWhat is the probability distribution governing the positionsrdquo

10

Solving the Schrodinger Equation

H(r) = E(r)

Analytic solutions become extremely complicated even for

simple systems

11

Year 1929hellip The underlying physical laws necessary for the mathematical theory of a large part of physics and the whole of chemistry are thus completely known and the difficulty is only that the exact application of these laws leads to equations much too complicated to be soluble

PAM Dirac Proc Roy Soc 123 714 (1929)

hellipand 1963 If there is no complete agreement [hellip] between the results of onersquos work and the experiment one should not allow oneself to be too discouraged [hellip]

PAM Dirac Scientific American May 1963

12

Density functional theory

Electron density Energy

E0 = E[n0] Hohenberg amp Kohn 1964

Non-interacting Interacting

-----

- ---

Walter Kohn (left) receiving the Nobel prize in chemistry in 1998 Kohn amp Sham 1965

--

13

Image of Walter Kohn receiving Nobel prizeremoved due to copyright restrictions

Why do we need quantum mechanics

Example Bonding and Structure

Figures by Nicola Marzari Photo courtesy of Nicola Marzari andDavid VanderbiltRutgers University

Paraelectric (cubic) and ferroelectric (tetragonal) phases of PbTiO3 14

Example Electronic optical magnetic properties

15

Courtesy of Felice Frankel Used with permission

Example Nanotechnology

Nanotechnology Scientist in Nanotechnology created The Spiderman Hulk

Image from Spiderman 2 copy Sony Pictures Image from The Hulk copy Universal Pictures All rights reserved This content is excluded from our Creative Commons license For more information see httpocwmiteduhelpfaq-fair-use

16

How small is nano 100 m = 1m

10-9 = 1 nanometer

109 m = 1 million km 100 m = 1m

Images from Eames Power of Ten film removed due to copyrightrestrictions See httpwwwpowersof10com

17

Nanotechnology Definition ldquoHow Super-Cows and Nanotechnology will Make Ice Cream HealthyrdquoldquoHow Super-Cows and Nanotechnology will Make Ice Cream HealthyrdquoldquoHow Super-Cows and Nanotechnology will Make Ice Cream Healthyrdquo

telegraphcouk August 21 2005

In a field somewhere in CountIn a field somewhere in CountIn a field somewhere in County Dy Dy Down Northern Ireland is a herdown Northern Ireland is a herdown Northern Ireland is a herd of 40 superof 40 superof 40 super-cows that could tak-cows that could tak-cows that could take all the poisonous guilt out ofe all the poisonous guilt out ofe all the poisonous guilt out of bingeing on ice cream Unilevbingeing on ice cream Unilevbingeing on ice cream Unilevererer the manufacturer of P the manufacturer of P the manufacturer of Persil and PGersil and PGersil and PG Tips is sponsoring a secret research project bTips is sponsoring a secret research project bTips is sponsoring a secret research project by a leading By a leading By a leading Britishritishritish agriculturagriculturagricultural science institution into how to reduce the leval science institution into how to reduce the leval science institution into how to reduce the levels ofels ofels of satursatursaturated fat in cows milkated fat in cows milkated fat in cows milk It is also experimenting with nanotechnologyIt is also experimenting with nanotechnologyIt is also experimenting with nanotechnology or the science of or the science of or the science of

y things Unilevinininvisibly tinvisibly tinvisibly tiny thingsy things er believUnilevUnilever believer believes that bes that bes that by halving the sizy halving the sizy halving the size ofe ofe of particles that makparticles that makparticles that make up the emulsion - or fatte up the emulsion - or fatte up the emulsion - or fatty oil - that it uses toy oil - that it uses toy oil - that it uses to makmakmake ice cream it could use 90 per cent less of the emulsione ice cream it could use 90 per cent less of the emulsione ice cream it could use 90 per cent less of the emulsion

18

Image copy source unknown All rights reserved This content is excluded from our CreativeCommons license For more information see httpocwmiteduhelpfaq-fair-use

New Optical Properties

Quantum Dots

bulk semiconductor

optically boring

Images of semiconductor material in glass jar and scooper copy sources unknownAll rights reserved This content is excluded from our Creative Commons licenseFor more information see httpocwmiteduhelpfaq-fair-use

optically exciting

quantum dot+

nano scooper

19

Courtesy of Felice Frankel Used with permission

Quantum Confinement

quantum dot

laser

bulk semiconductor

quantum confinement

Physical confinement of excited state leads to unique quantum effect light emitted depends on size

20

hole electron

In order to keep CO2 emissions in check we will need to consume half of our electricity through renewable sources by the year 2050

Need major improvements in efficiency and cost in order to take advantage of these resources

21

copy NREL All rights reserved This content is excluded fromour Creative Commons license For more information seehttpocwmiteduhelpfaq-fair-use

copy unknown All rights reserved This content is excluded

from

our Creative Commons license For more information see

httpocwmiteduhelpfaq-fair-use

Example make solar cells cheaper and more efficient

Understand predict and tailor these key fundamental processes

Four Basic Steps1) Convert a photon into an electron

and a hole 2) Electron and hole ldquothermalizerdquo 3) The electron-hole pair diffuses4) Electron and hole are separated

and taken out

22

Amorphous vs Crystalline Silicon Solar Cells

bull Gap 16-18 eVbull High absorption coefficient device ~1 micrombull Mobilities

bull electron 025 microm in 1 nsbull hole 025 microm in 200 ns

bull Gap 112 eVbull Lower absorption coefficient device ~100 micrombull Mobilities

bull electron 250 microm in 1 nsbull hole 250 microm in 3 ns

23

Images of solar panel and strips copy sources unknown All rights reserved This content is excluded fromour Creative Commons license For more information see httpocwmiteduhelpfaq-fair-use

Diagrams copy sources unknown All rights reserved This content is excluded from our CreativeCommons license For more information see httpocwmiteduhelpfaq-fair-use24

Image is in the public domain

Example Concrete Science

copy source unknown All rights reserved This content is excludedfrom our Creative Commons license For more informationsee httpocwmiteduhelpfaq-fair-use

bull Cement13 accounts13 for13 5-shy‐1013 of13 global13 CO213 Emissions13 bull Cement13 is13 mainly13 made13 of13 synthe=c13 rock13 13 Clinkerbull 413 major13 phases13 Alite13 (Ca3SiO5)13 Belite13 (Ca2SiO4)13 Aluminate13 13 (Ca3Al2O6)13 Ferrite13 (Ca2AlFeO5)

bull Many13 different13 polymorphisms13 not13 fully13 understood

25

Surface Reactivity is Key Problem

sect Alite (C3S) sect 7 polymorphs sect Conslttutes 50-shy‐70 sect Reaclton with water Fast

sect Belite (C2S) sect 3 polymorphs sect Conslttutes 15-shy‐30 sect Reaclton with water Slow

bullWhy HowbullCan we tune the Belite reaction rate

Adapted from Cement Microscopy Halliburton Services Duncan OK

Courtesy Andrew R Barron License CC-BY

26

Itrsquos a quantum world

27

copy Shizuo KambayashiAP All rights reserved This content is excluded from our CreativeCommons license For more information see httpocwmiteduhelpfaq-fair-use

MIT OpenCourseWarehttpocwmitedu

3021J 1021J 10333J 18361J 2200J Introduction to Modelling and SimulationSpring 2012 For information about citing these materials or our Terms of Use visit httpocwmiteduterms

Page 2: 1.021, 3.021, 10.333, 22.00 Introduction to Modeling and ......1 1.021, 3.021, 10.333, 22.00 Introduction to Modeling and Simulation Spring 2012 Part II – Quantum Mechanical Methods

Content overview

I Particle and continuum methods 1 Atoms molecules chemistry 2 Continuum modeling approaches and solution approaches 3 Statistical mechanics 4 Molecular dynamics Monte Carlo 5 Visualization and data analysis 6 Mechanical properties ndash application how things fail (and

how to prevent it) 7 Multi-scale modeling paradigm 8 Biological systems (simulation in biophysics) ndash how proteins

work and how to model them

II Quantum mechanical methods 1 Itrsquos A Quantum World The Theory of Quantum Mechanics 2 Quantum Mechanics Practice Makes Perfect 3 The Many-Body Problem From Many-Body to Single-

Particle 4 Quantum modeling of materials 5 From Atoms to Solids 6 Basic properties of materials 7 Advanced properties of materials 8 What else can we do

2

Computer Hardware Historical Milestones

1946 Eniac Ops 5000 Sq ft 3000

1952 IBM SSEC Ops 2000 Sq ft 1000

1951 MIT Whirlwind Ops 200000 Sq ft 3100

1964 CDC 6600 Ops 3000000 Sq ft 3100

1968 Apollo Guide Apollo 7amp11 missions

1971 Kenbak-1 First personal computer 256 Bytes of memory

1974 Xerox Alto Built-in mouse Connect to network

Images are historical and promotional photos copy sources unknown All rights reserved This content is excludedfrom our Creative Commons license For more information see httpocwmiteduhelpfaq-fair-use3

JCG Personal Computer History

Tandy TRS-80 (aka ldquoTrash-80rdquo) Atari 400 (note the stylish keyboard)

Start-up screens

Images are historical and promotional photos copy sources unknown All rights reserved This content is excludedfrom our Creative Commons license For more information see httpocwmiteduhelpfaq-fair-use

4

Multi-scale modeling

quantum

modeling

Courtesy of Elsevier Inc httpwwwsciencedirectcom Used with permission5

6Photos copy unknown All rights reserved This content is excluded from our CreativeCommons license For more information see httpocwmiteduhelpfaq-fair-use

7

Movies of a Quantum Ball Thrown into a Wall

8

Courtesy of Bernd Thaller Used with permission

Example Diels-Alder Reaction 13-butadiene + ethylene rarr cyclohexene

Courtesy ChemWiki

Predicting what these electrons do is what gives us those much-needed energy curves ndash quantum mechanics is key

9

See Lecture 1 video for animation copy James E KendallMSC Caltech All rightsreserved This content is excluded from our Creative Commons license Formore information see httpocwmiteduhelpfaq-fair-use

euro

A Little Bit of Schroumldinger

Written out explicitly the Schroumldinger equation looks like this

2 $ part 2 part 2 part 2 - partΨ(rt)+minus amp ) + V Ψ(rt) = i 2m partx 2 +

party 2 + partz2 ( partt

sect is the wavefunction for the system of particles which characterizes the particlersquos motion One can derive all properties of the system of particles from its wavefunction

sect We no longer ask ldquoWhere isare the particle(s)rdquo but instead ask ldquoWhat is the probability distribution governing the positionsrdquo

10

Solving the Schrodinger Equation

H(r) = E(r)

Analytic solutions become extremely complicated even for

simple systems

11

Year 1929hellip The underlying physical laws necessary for the mathematical theory of a large part of physics and the whole of chemistry are thus completely known and the difficulty is only that the exact application of these laws leads to equations much too complicated to be soluble

PAM Dirac Proc Roy Soc 123 714 (1929)

hellipand 1963 If there is no complete agreement [hellip] between the results of onersquos work and the experiment one should not allow oneself to be too discouraged [hellip]

PAM Dirac Scientific American May 1963

12

Density functional theory

Electron density Energy

E0 = E[n0] Hohenberg amp Kohn 1964

Non-interacting Interacting

-----

- ---

Walter Kohn (left) receiving the Nobel prize in chemistry in 1998 Kohn amp Sham 1965

--

13

Image of Walter Kohn receiving Nobel prizeremoved due to copyright restrictions

Why do we need quantum mechanics

Example Bonding and Structure

Figures by Nicola Marzari Photo courtesy of Nicola Marzari andDavid VanderbiltRutgers University

Paraelectric (cubic) and ferroelectric (tetragonal) phases of PbTiO3 14

Example Electronic optical magnetic properties

15

Courtesy of Felice Frankel Used with permission

Example Nanotechnology

Nanotechnology Scientist in Nanotechnology created The Spiderman Hulk

Image from Spiderman 2 copy Sony Pictures Image from The Hulk copy Universal Pictures All rights reserved This content is excluded from our Creative Commons license For more information see httpocwmiteduhelpfaq-fair-use

16

How small is nano 100 m = 1m

10-9 = 1 nanometer

109 m = 1 million km 100 m = 1m

Images from Eames Power of Ten film removed due to copyrightrestrictions See httpwwwpowersof10com

17

Nanotechnology Definition ldquoHow Super-Cows and Nanotechnology will Make Ice Cream HealthyrdquoldquoHow Super-Cows and Nanotechnology will Make Ice Cream HealthyrdquoldquoHow Super-Cows and Nanotechnology will Make Ice Cream Healthyrdquo

telegraphcouk August 21 2005

In a field somewhere in CountIn a field somewhere in CountIn a field somewhere in County Dy Dy Down Northern Ireland is a herdown Northern Ireland is a herdown Northern Ireland is a herd of 40 superof 40 superof 40 super-cows that could tak-cows that could tak-cows that could take all the poisonous guilt out ofe all the poisonous guilt out ofe all the poisonous guilt out of bingeing on ice cream Unilevbingeing on ice cream Unilevbingeing on ice cream Unilevererer the manufacturer of P the manufacturer of P the manufacturer of Persil and PGersil and PGersil and PG Tips is sponsoring a secret research project bTips is sponsoring a secret research project bTips is sponsoring a secret research project by a leading By a leading By a leading Britishritishritish agriculturagriculturagricultural science institution into how to reduce the leval science institution into how to reduce the leval science institution into how to reduce the levels ofels ofels of satursatursaturated fat in cows milkated fat in cows milkated fat in cows milk It is also experimenting with nanotechnologyIt is also experimenting with nanotechnologyIt is also experimenting with nanotechnology or the science of or the science of or the science of

y things Unilevinininvisibly tinvisibly tinvisibly tiny thingsy things er believUnilevUnilever believer believes that bes that bes that by halving the sizy halving the sizy halving the size ofe ofe of particles that makparticles that makparticles that make up the emulsion - or fatte up the emulsion - or fatte up the emulsion - or fatty oil - that it uses toy oil - that it uses toy oil - that it uses to makmakmake ice cream it could use 90 per cent less of the emulsione ice cream it could use 90 per cent less of the emulsione ice cream it could use 90 per cent less of the emulsion

18

Image copy source unknown All rights reserved This content is excluded from our CreativeCommons license For more information see httpocwmiteduhelpfaq-fair-use

New Optical Properties

Quantum Dots

bulk semiconductor

optically boring

Images of semiconductor material in glass jar and scooper copy sources unknownAll rights reserved This content is excluded from our Creative Commons licenseFor more information see httpocwmiteduhelpfaq-fair-use

optically exciting

quantum dot+

nano scooper

19

Courtesy of Felice Frankel Used with permission

Quantum Confinement

quantum dot

laser

bulk semiconductor

quantum confinement

Physical confinement of excited state leads to unique quantum effect light emitted depends on size

20

hole electron

In order to keep CO2 emissions in check we will need to consume half of our electricity through renewable sources by the year 2050

Need major improvements in efficiency and cost in order to take advantage of these resources

21

copy NREL All rights reserved This content is excluded fromour Creative Commons license For more information seehttpocwmiteduhelpfaq-fair-use

copy unknown All rights reserved This content is excluded

from

our Creative Commons license For more information see

httpocwmiteduhelpfaq-fair-use

Example make solar cells cheaper and more efficient

Understand predict and tailor these key fundamental processes

Four Basic Steps1) Convert a photon into an electron

and a hole 2) Electron and hole ldquothermalizerdquo 3) The electron-hole pair diffuses4) Electron and hole are separated

and taken out

22

Amorphous vs Crystalline Silicon Solar Cells

bull Gap 16-18 eVbull High absorption coefficient device ~1 micrombull Mobilities

bull electron 025 microm in 1 nsbull hole 025 microm in 200 ns

bull Gap 112 eVbull Lower absorption coefficient device ~100 micrombull Mobilities

bull electron 250 microm in 1 nsbull hole 250 microm in 3 ns

23

Images of solar panel and strips copy sources unknown All rights reserved This content is excluded fromour Creative Commons license For more information see httpocwmiteduhelpfaq-fair-use

Diagrams copy sources unknown All rights reserved This content is excluded from our CreativeCommons license For more information see httpocwmiteduhelpfaq-fair-use24

Image is in the public domain

Example Concrete Science

copy source unknown All rights reserved This content is excludedfrom our Creative Commons license For more informationsee httpocwmiteduhelpfaq-fair-use

bull Cement13 accounts13 for13 5-shy‐1013 of13 global13 CO213 Emissions13 bull Cement13 is13 mainly13 made13 of13 synthe=c13 rock13 13 Clinkerbull 413 major13 phases13 Alite13 (Ca3SiO5)13 Belite13 (Ca2SiO4)13 Aluminate13 13 (Ca3Al2O6)13 Ferrite13 (Ca2AlFeO5)

bull Many13 different13 polymorphisms13 not13 fully13 understood

25

Surface Reactivity is Key Problem

sect Alite (C3S) sect 7 polymorphs sect Conslttutes 50-shy‐70 sect Reaclton with water Fast

sect Belite (C2S) sect 3 polymorphs sect Conslttutes 15-shy‐30 sect Reaclton with water Slow

bullWhy HowbullCan we tune the Belite reaction rate

Adapted from Cement Microscopy Halliburton Services Duncan OK

Courtesy Andrew R Barron License CC-BY

26

Itrsquos a quantum world

27

copy Shizuo KambayashiAP All rights reserved This content is excluded from our CreativeCommons license For more information see httpocwmiteduhelpfaq-fair-use

MIT OpenCourseWarehttpocwmitedu

3021J 1021J 10333J 18361J 2200J Introduction to Modelling and SimulationSpring 2012 For information about citing these materials or our Terms of Use visit httpocwmiteduterms

Page 3: 1.021, 3.021, 10.333, 22.00 Introduction to Modeling and ......1 1.021, 3.021, 10.333, 22.00 Introduction to Modeling and Simulation Spring 2012 Part II – Quantum Mechanical Methods

Computer Hardware Historical Milestones

1946 Eniac Ops 5000 Sq ft 3000

1952 IBM SSEC Ops 2000 Sq ft 1000

1951 MIT Whirlwind Ops 200000 Sq ft 3100

1964 CDC 6600 Ops 3000000 Sq ft 3100

1968 Apollo Guide Apollo 7amp11 missions

1971 Kenbak-1 First personal computer 256 Bytes of memory

1974 Xerox Alto Built-in mouse Connect to network

Images are historical and promotional photos copy sources unknown All rights reserved This content is excludedfrom our Creative Commons license For more information see httpocwmiteduhelpfaq-fair-use3

JCG Personal Computer History

Tandy TRS-80 (aka ldquoTrash-80rdquo) Atari 400 (note the stylish keyboard)

Start-up screens

Images are historical and promotional photos copy sources unknown All rights reserved This content is excludedfrom our Creative Commons license For more information see httpocwmiteduhelpfaq-fair-use

4

Multi-scale modeling

quantum

modeling

Courtesy of Elsevier Inc httpwwwsciencedirectcom Used with permission5

6Photos copy unknown All rights reserved This content is excluded from our CreativeCommons license For more information see httpocwmiteduhelpfaq-fair-use

7

Movies of a Quantum Ball Thrown into a Wall

8

Courtesy of Bernd Thaller Used with permission

Example Diels-Alder Reaction 13-butadiene + ethylene rarr cyclohexene

Courtesy ChemWiki

Predicting what these electrons do is what gives us those much-needed energy curves ndash quantum mechanics is key

9

See Lecture 1 video for animation copy James E KendallMSC Caltech All rightsreserved This content is excluded from our Creative Commons license Formore information see httpocwmiteduhelpfaq-fair-use

euro

A Little Bit of Schroumldinger

Written out explicitly the Schroumldinger equation looks like this

2 $ part 2 part 2 part 2 - partΨ(rt)+minus amp ) + V Ψ(rt) = i 2m partx 2 +

party 2 + partz2 ( partt

sect is the wavefunction for the system of particles which characterizes the particlersquos motion One can derive all properties of the system of particles from its wavefunction

sect We no longer ask ldquoWhere isare the particle(s)rdquo but instead ask ldquoWhat is the probability distribution governing the positionsrdquo

10

Solving the Schrodinger Equation

H(r) = E(r)

Analytic solutions become extremely complicated even for

simple systems

11

Year 1929hellip The underlying physical laws necessary for the mathematical theory of a large part of physics and the whole of chemistry are thus completely known and the difficulty is only that the exact application of these laws leads to equations much too complicated to be soluble

PAM Dirac Proc Roy Soc 123 714 (1929)

hellipand 1963 If there is no complete agreement [hellip] between the results of onersquos work and the experiment one should not allow oneself to be too discouraged [hellip]

PAM Dirac Scientific American May 1963

12

Density functional theory

Electron density Energy

E0 = E[n0] Hohenberg amp Kohn 1964

Non-interacting Interacting

-----

- ---

Walter Kohn (left) receiving the Nobel prize in chemistry in 1998 Kohn amp Sham 1965

--

13

Image of Walter Kohn receiving Nobel prizeremoved due to copyright restrictions

Why do we need quantum mechanics

Example Bonding and Structure

Figures by Nicola Marzari Photo courtesy of Nicola Marzari andDavid VanderbiltRutgers University

Paraelectric (cubic) and ferroelectric (tetragonal) phases of PbTiO3 14

Example Electronic optical magnetic properties

15

Courtesy of Felice Frankel Used with permission

Example Nanotechnology

Nanotechnology Scientist in Nanotechnology created The Spiderman Hulk

Image from Spiderman 2 copy Sony Pictures Image from The Hulk copy Universal Pictures All rights reserved This content is excluded from our Creative Commons license For more information see httpocwmiteduhelpfaq-fair-use

16

How small is nano 100 m = 1m

10-9 = 1 nanometer

109 m = 1 million km 100 m = 1m

Images from Eames Power of Ten film removed due to copyrightrestrictions See httpwwwpowersof10com

17

Nanotechnology Definition ldquoHow Super-Cows and Nanotechnology will Make Ice Cream HealthyrdquoldquoHow Super-Cows and Nanotechnology will Make Ice Cream HealthyrdquoldquoHow Super-Cows and Nanotechnology will Make Ice Cream Healthyrdquo

telegraphcouk August 21 2005

In a field somewhere in CountIn a field somewhere in CountIn a field somewhere in County Dy Dy Down Northern Ireland is a herdown Northern Ireland is a herdown Northern Ireland is a herd of 40 superof 40 superof 40 super-cows that could tak-cows that could tak-cows that could take all the poisonous guilt out ofe all the poisonous guilt out ofe all the poisonous guilt out of bingeing on ice cream Unilevbingeing on ice cream Unilevbingeing on ice cream Unilevererer the manufacturer of P the manufacturer of P the manufacturer of Persil and PGersil and PGersil and PG Tips is sponsoring a secret research project bTips is sponsoring a secret research project bTips is sponsoring a secret research project by a leading By a leading By a leading Britishritishritish agriculturagriculturagricultural science institution into how to reduce the leval science institution into how to reduce the leval science institution into how to reduce the levels ofels ofels of satursatursaturated fat in cows milkated fat in cows milkated fat in cows milk It is also experimenting with nanotechnologyIt is also experimenting with nanotechnologyIt is also experimenting with nanotechnology or the science of or the science of or the science of

y things Unilevinininvisibly tinvisibly tinvisibly tiny thingsy things er believUnilevUnilever believer believes that bes that bes that by halving the sizy halving the sizy halving the size ofe ofe of particles that makparticles that makparticles that make up the emulsion - or fatte up the emulsion - or fatte up the emulsion - or fatty oil - that it uses toy oil - that it uses toy oil - that it uses to makmakmake ice cream it could use 90 per cent less of the emulsione ice cream it could use 90 per cent less of the emulsione ice cream it could use 90 per cent less of the emulsion

18

Image copy source unknown All rights reserved This content is excluded from our CreativeCommons license For more information see httpocwmiteduhelpfaq-fair-use

New Optical Properties

Quantum Dots

bulk semiconductor

optically boring

Images of semiconductor material in glass jar and scooper copy sources unknownAll rights reserved This content is excluded from our Creative Commons licenseFor more information see httpocwmiteduhelpfaq-fair-use

optically exciting

quantum dot+

nano scooper

19

Courtesy of Felice Frankel Used with permission

Quantum Confinement

quantum dot

laser

bulk semiconductor

quantum confinement

Physical confinement of excited state leads to unique quantum effect light emitted depends on size

20

hole electron

In order to keep CO2 emissions in check we will need to consume half of our electricity through renewable sources by the year 2050

Need major improvements in efficiency and cost in order to take advantage of these resources

21

copy NREL All rights reserved This content is excluded fromour Creative Commons license For more information seehttpocwmiteduhelpfaq-fair-use

copy unknown All rights reserved This content is excluded

from

our Creative Commons license For more information see

httpocwmiteduhelpfaq-fair-use

Example make solar cells cheaper and more efficient

Understand predict and tailor these key fundamental processes

Four Basic Steps1) Convert a photon into an electron

and a hole 2) Electron and hole ldquothermalizerdquo 3) The electron-hole pair diffuses4) Electron and hole are separated

and taken out

22

Amorphous vs Crystalline Silicon Solar Cells

bull Gap 16-18 eVbull High absorption coefficient device ~1 micrombull Mobilities

bull electron 025 microm in 1 nsbull hole 025 microm in 200 ns

bull Gap 112 eVbull Lower absorption coefficient device ~100 micrombull Mobilities

bull electron 250 microm in 1 nsbull hole 250 microm in 3 ns

23

Images of solar panel and strips copy sources unknown All rights reserved This content is excluded fromour Creative Commons license For more information see httpocwmiteduhelpfaq-fair-use

Diagrams copy sources unknown All rights reserved This content is excluded from our CreativeCommons license For more information see httpocwmiteduhelpfaq-fair-use24

Image is in the public domain

Example Concrete Science

copy source unknown All rights reserved This content is excludedfrom our Creative Commons license For more informationsee httpocwmiteduhelpfaq-fair-use

bull Cement13 accounts13 for13 5-shy‐1013 of13 global13 CO213 Emissions13 bull Cement13 is13 mainly13 made13 of13 synthe=c13 rock13 13 Clinkerbull 413 major13 phases13 Alite13 (Ca3SiO5)13 Belite13 (Ca2SiO4)13 Aluminate13 13 (Ca3Al2O6)13 Ferrite13 (Ca2AlFeO5)

bull Many13 different13 polymorphisms13 not13 fully13 understood

25

Surface Reactivity is Key Problem

sect Alite (C3S) sect 7 polymorphs sect Conslttutes 50-shy‐70 sect Reaclton with water Fast

sect Belite (C2S) sect 3 polymorphs sect Conslttutes 15-shy‐30 sect Reaclton with water Slow

bullWhy HowbullCan we tune the Belite reaction rate

Adapted from Cement Microscopy Halliburton Services Duncan OK

Courtesy Andrew R Barron License CC-BY

26

Itrsquos a quantum world

27

copy Shizuo KambayashiAP All rights reserved This content is excluded from our CreativeCommons license For more information see httpocwmiteduhelpfaq-fair-use

MIT OpenCourseWarehttpocwmitedu

3021J 1021J 10333J 18361J 2200J Introduction to Modelling and SimulationSpring 2012 For information about citing these materials or our Terms of Use visit httpocwmiteduterms

Page 4: 1.021, 3.021, 10.333, 22.00 Introduction to Modeling and ......1 1.021, 3.021, 10.333, 22.00 Introduction to Modeling and Simulation Spring 2012 Part II – Quantum Mechanical Methods

JCG Personal Computer History

Tandy TRS-80 (aka ldquoTrash-80rdquo) Atari 400 (note the stylish keyboard)

Start-up screens

Images are historical and promotional photos copy sources unknown All rights reserved This content is excludedfrom our Creative Commons license For more information see httpocwmiteduhelpfaq-fair-use

4

Multi-scale modeling

quantum

modeling

Courtesy of Elsevier Inc httpwwwsciencedirectcom Used with permission5

6Photos copy unknown All rights reserved This content is excluded from our CreativeCommons license For more information see httpocwmiteduhelpfaq-fair-use

7

Movies of a Quantum Ball Thrown into a Wall

8

Courtesy of Bernd Thaller Used with permission

Example Diels-Alder Reaction 13-butadiene + ethylene rarr cyclohexene

Courtesy ChemWiki

Predicting what these electrons do is what gives us those much-needed energy curves ndash quantum mechanics is key

9

See Lecture 1 video for animation copy James E KendallMSC Caltech All rightsreserved This content is excluded from our Creative Commons license Formore information see httpocwmiteduhelpfaq-fair-use

euro

A Little Bit of Schroumldinger

Written out explicitly the Schroumldinger equation looks like this

2 $ part 2 part 2 part 2 - partΨ(rt)+minus amp ) + V Ψ(rt) = i 2m partx 2 +

party 2 + partz2 ( partt

sect is the wavefunction for the system of particles which characterizes the particlersquos motion One can derive all properties of the system of particles from its wavefunction

sect We no longer ask ldquoWhere isare the particle(s)rdquo but instead ask ldquoWhat is the probability distribution governing the positionsrdquo

10

Solving the Schrodinger Equation

H(r) = E(r)

Analytic solutions become extremely complicated even for

simple systems

11

Year 1929hellip The underlying physical laws necessary for the mathematical theory of a large part of physics and the whole of chemistry are thus completely known and the difficulty is only that the exact application of these laws leads to equations much too complicated to be soluble

PAM Dirac Proc Roy Soc 123 714 (1929)

hellipand 1963 If there is no complete agreement [hellip] between the results of onersquos work and the experiment one should not allow oneself to be too discouraged [hellip]

PAM Dirac Scientific American May 1963

12

Density functional theory

Electron density Energy

E0 = E[n0] Hohenberg amp Kohn 1964

Non-interacting Interacting

-----

- ---

Walter Kohn (left) receiving the Nobel prize in chemistry in 1998 Kohn amp Sham 1965

--

13

Image of Walter Kohn receiving Nobel prizeremoved due to copyright restrictions

Why do we need quantum mechanics

Example Bonding and Structure

Figures by Nicola Marzari Photo courtesy of Nicola Marzari andDavid VanderbiltRutgers University

Paraelectric (cubic) and ferroelectric (tetragonal) phases of PbTiO3 14

Example Electronic optical magnetic properties

15

Courtesy of Felice Frankel Used with permission

Example Nanotechnology

Nanotechnology Scientist in Nanotechnology created The Spiderman Hulk

Image from Spiderman 2 copy Sony Pictures Image from The Hulk copy Universal Pictures All rights reserved This content is excluded from our Creative Commons license For more information see httpocwmiteduhelpfaq-fair-use

16

How small is nano 100 m = 1m

10-9 = 1 nanometer

109 m = 1 million km 100 m = 1m

Images from Eames Power of Ten film removed due to copyrightrestrictions See httpwwwpowersof10com

17

Nanotechnology Definition ldquoHow Super-Cows and Nanotechnology will Make Ice Cream HealthyrdquoldquoHow Super-Cows and Nanotechnology will Make Ice Cream HealthyrdquoldquoHow Super-Cows and Nanotechnology will Make Ice Cream Healthyrdquo

telegraphcouk August 21 2005

In a field somewhere in CountIn a field somewhere in CountIn a field somewhere in County Dy Dy Down Northern Ireland is a herdown Northern Ireland is a herdown Northern Ireland is a herd of 40 superof 40 superof 40 super-cows that could tak-cows that could tak-cows that could take all the poisonous guilt out ofe all the poisonous guilt out ofe all the poisonous guilt out of bingeing on ice cream Unilevbingeing on ice cream Unilevbingeing on ice cream Unilevererer the manufacturer of P the manufacturer of P the manufacturer of Persil and PGersil and PGersil and PG Tips is sponsoring a secret research project bTips is sponsoring a secret research project bTips is sponsoring a secret research project by a leading By a leading By a leading Britishritishritish agriculturagriculturagricultural science institution into how to reduce the leval science institution into how to reduce the leval science institution into how to reduce the levels ofels ofels of satursatursaturated fat in cows milkated fat in cows milkated fat in cows milk It is also experimenting with nanotechnologyIt is also experimenting with nanotechnologyIt is also experimenting with nanotechnology or the science of or the science of or the science of

y things Unilevinininvisibly tinvisibly tinvisibly tiny thingsy things er believUnilevUnilever believer believes that bes that bes that by halving the sizy halving the sizy halving the size ofe ofe of particles that makparticles that makparticles that make up the emulsion - or fatte up the emulsion - or fatte up the emulsion - or fatty oil - that it uses toy oil - that it uses toy oil - that it uses to makmakmake ice cream it could use 90 per cent less of the emulsione ice cream it could use 90 per cent less of the emulsione ice cream it could use 90 per cent less of the emulsion

18

Image copy source unknown All rights reserved This content is excluded from our CreativeCommons license For more information see httpocwmiteduhelpfaq-fair-use

New Optical Properties

Quantum Dots

bulk semiconductor

optically boring

Images of semiconductor material in glass jar and scooper copy sources unknownAll rights reserved This content is excluded from our Creative Commons licenseFor more information see httpocwmiteduhelpfaq-fair-use

optically exciting

quantum dot+

nano scooper

19

Courtesy of Felice Frankel Used with permission

Quantum Confinement

quantum dot

laser

bulk semiconductor

quantum confinement

Physical confinement of excited state leads to unique quantum effect light emitted depends on size

20

hole electron

In order to keep CO2 emissions in check we will need to consume half of our electricity through renewable sources by the year 2050

Need major improvements in efficiency and cost in order to take advantage of these resources

21

copy NREL All rights reserved This content is excluded fromour Creative Commons license For more information seehttpocwmiteduhelpfaq-fair-use

copy unknown All rights reserved This content is excluded

from

our Creative Commons license For more information see

httpocwmiteduhelpfaq-fair-use

Example make solar cells cheaper and more efficient

Understand predict and tailor these key fundamental processes

Four Basic Steps1) Convert a photon into an electron

and a hole 2) Electron and hole ldquothermalizerdquo 3) The electron-hole pair diffuses4) Electron and hole are separated

and taken out

22

Amorphous vs Crystalline Silicon Solar Cells

bull Gap 16-18 eVbull High absorption coefficient device ~1 micrombull Mobilities

bull electron 025 microm in 1 nsbull hole 025 microm in 200 ns

bull Gap 112 eVbull Lower absorption coefficient device ~100 micrombull Mobilities

bull electron 250 microm in 1 nsbull hole 250 microm in 3 ns

23

Images of solar panel and strips copy sources unknown All rights reserved This content is excluded fromour Creative Commons license For more information see httpocwmiteduhelpfaq-fair-use

Diagrams copy sources unknown All rights reserved This content is excluded from our CreativeCommons license For more information see httpocwmiteduhelpfaq-fair-use24

Image is in the public domain

Example Concrete Science

copy source unknown All rights reserved This content is excludedfrom our Creative Commons license For more informationsee httpocwmiteduhelpfaq-fair-use

bull Cement13 accounts13 for13 5-shy‐1013 of13 global13 CO213 Emissions13 bull Cement13 is13 mainly13 made13 of13 synthe=c13 rock13 13 Clinkerbull 413 major13 phases13 Alite13 (Ca3SiO5)13 Belite13 (Ca2SiO4)13 Aluminate13 13 (Ca3Al2O6)13 Ferrite13 (Ca2AlFeO5)

bull Many13 different13 polymorphisms13 not13 fully13 understood

25

Surface Reactivity is Key Problem

sect Alite (C3S) sect 7 polymorphs sect Conslttutes 50-shy‐70 sect Reaclton with water Fast

sect Belite (C2S) sect 3 polymorphs sect Conslttutes 15-shy‐30 sect Reaclton with water Slow

bullWhy HowbullCan we tune the Belite reaction rate

Adapted from Cement Microscopy Halliburton Services Duncan OK

Courtesy Andrew R Barron License CC-BY

26

Itrsquos a quantum world

27

copy Shizuo KambayashiAP All rights reserved This content is excluded from our CreativeCommons license For more information see httpocwmiteduhelpfaq-fair-use

MIT OpenCourseWarehttpocwmitedu

3021J 1021J 10333J 18361J 2200J Introduction to Modelling and SimulationSpring 2012 For information about citing these materials or our Terms of Use visit httpocwmiteduterms

Page 5: 1.021, 3.021, 10.333, 22.00 Introduction to Modeling and ......1 1.021, 3.021, 10.333, 22.00 Introduction to Modeling and Simulation Spring 2012 Part II – Quantum Mechanical Methods

Multi-scale modeling

quantum

modeling

Courtesy of Elsevier Inc httpwwwsciencedirectcom Used with permission5

6Photos copy unknown All rights reserved This content is excluded from our CreativeCommons license For more information see httpocwmiteduhelpfaq-fair-use

7

Movies of a Quantum Ball Thrown into a Wall

8

Courtesy of Bernd Thaller Used with permission

Example Diels-Alder Reaction 13-butadiene + ethylene rarr cyclohexene

Courtesy ChemWiki

Predicting what these electrons do is what gives us those much-needed energy curves ndash quantum mechanics is key

9

See Lecture 1 video for animation copy James E KendallMSC Caltech All rightsreserved This content is excluded from our Creative Commons license Formore information see httpocwmiteduhelpfaq-fair-use

euro

A Little Bit of Schroumldinger

Written out explicitly the Schroumldinger equation looks like this

2 $ part 2 part 2 part 2 - partΨ(rt)+minus amp ) + V Ψ(rt) = i 2m partx 2 +

party 2 + partz2 ( partt

sect is the wavefunction for the system of particles which characterizes the particlersquos motion One can derive all properties of the system of particles from its wavefunction

sect We no longer ask ldquoWhere isare the particle(s)rdquo but instead ask ldquoWhat is the probability distribution governing the positionsrdquo

10

Solving the Schrodinger Equation

H(r) = E(r)

Analytic solutions become extremely complicated even for

simple systems

11

Year 1929hellip The underlying physical laws necessary for the mathematical theory of a large part of physics and the whole of chemistry are thus completely known and the difficulty is only that the exact application of these laws leads to equations much too complicated to be soluble

PAM Dirac Proc Roy Soc 123 714 (1929)

hellipand 1963 If there is no complete agreement [hellip] between the results of onersquos work and the experiment one should not allow oneself to be too discouraged [hellip]

PAM Dirac Scientific American May 1963

12

Density functional theory

Electron density Energy

E0 = E[n0] Hohenberg amp Kohn 1964

Non-interacting Interacting

-----

- ---

Walter Kohn (left) receiving the Nobel prize in chemistry in 1998 Kohn amp Sham 1965

--

13

Image of Walter Kohn receiving Nobel prizeremoved due to copyright restrictions

Why do we need quantum mechanics

Example Bonding and Structure

Figures by Nicola Marzari Photo courtesy of Nicola Marzari andDavid VanderbiltRutgers University

Paraelectric (cubic) and ferroelectric (tetragonal) phases of PbTiO3 14

Example Electronic optical magnetic properties

15

Courtesy of Felice Frankel Used with permission

Example Nanotechnology

Nanotechnology Scientist in Nanotechnology created The Spiderman Hulk

Image from Spiderman 2 copy Sony Pictures Image from The Hulk copy Universal Pictures All rights reserved This content is excluded from our Creative Commons license For more information see httpocwmiteduhelpfaq-fair-use

16

How small is nano 100 m = 1m

10-9 = 1 nanometer

109 m = 1 million km 100 m = 1m

Images from Eames Power of Ten film removed due to copyrightrestrictions See httpwwwpowersof10com

17

Nanotechnology Definition ldquoHow Super-Cows and Nanotechnology will Make Ice Cream HealthyrdquoldquoHow Super-Cows and Nanotechnology will Make Ice Cream HealthyrdquoldquoHow Super-Cows and Nanotechnology will Make Ice Cream Healthyrdquo

telegraphcouk August 21 2005

In a field somewhere in CountIn a field somewhere in CountIn a field somewhere in County Dy Dy Down Northern Ireland is a herdown Northern Ireland is a herdown Northern Ireland is a herd of 40 superof 40 superof 40 super-cows that could tak-cows that could tak-cows that could take all the poisonous guilt out ofe all the poisonous guilt out ofe all the poisonous guilt out of bingeing on ice cream Unilevbingeing on ice cream Unilevbingeing on ice cream Unilevererer the manufacturer of P the manufacturer of P the manufacturer of Persil and PGersil and PGersil and PG Tips is sponsoring a secret research project bTips is sponsoring a secret research project bTips is sponsoring a secret research project by a leading By a leading By a leading Britishritishritish agriculturagriculturagricultural science institution into how to reduce the leval science institution into how to reduce the leval science institution into how to reduce the levels ofels ofels of satursatursaturated fat in cows milkated fat in cows milkated fat in cows milk It is also experimenting with nanotechnologyIt is also experimenting with nanotechnologyIt is also experimenting with nanotechnology or the science of or the science of or the science of

y things Unilevinininvisibly tinvisibly tinvisibly tiny thingsy things er believUnilevUnilever believer believes that bes that bes that by halving the sizy halving the sizy halving the size ofe ofe of particles that makparticles that makparticles that make up the emulsion - or fatte up the emulsion - or fatte up the emulsion - or fatty oil - that it uses toy oil - that it uses toy oil - that it uses to makmakmake ice cream it could use 90 per cent less of the emulsione ice cream it could use 90 per cent less of the emulsione ice cream it could use 90 per cent less of the emulsion

18

Image copy source unknown All rights reserved This content is excluded from our CreativeCommons license For more information see httpocwmiteduhelpfaq-fair-use

New Optical Properties

Quantum Dots

bulk semiconductor

optically boring

Images of semiconductor material in glass jar and scooper copy sources unknownAll rights reserved This content is excluded from our Creative Commons licenseFor more information see httpocwmiteduhelpfaq-fair-use

optically exciting

quantum dot+

nano scooper

19

Courtesy of Felice Frankel Used with permission

Quantum Confinement

quantum dot

laser

bulk semiconductor

quantum confinement

Physical confinement of excited state leads to unique quantum effect light emitted depends on size

20

hole electron

In order to keep CO2 emissions in check we will need to consume half of our electricity through renewable sources by the year 2050

Need major improvements in efficiency and cost in order to take advantage of these resources

21

copy NREL All rights reserved This content is excluded fromour Creative Commons license For more information seehttpocwmiteduhelpfaq-fair-use

copy unknown All rights reserved This content is excluded

from

our Creative Commons license For more information see

httpocwmiteduhelpfaq-fair-use

Example make solar cells cheaper and more efficient

Understand predict and tailor these key fundamental processes

Four Basic Steps1) Convert a photon into an electron

and a hole 2) Electron and hole ldquothermalizerdquo 3) The electron-hole pair diffuses4) Electron and hole are separated

and taken out

22

Amorphous vs Crystalline Silicon Solar Cells

bull Gap 16-18 eVbull High absorption coefficient device ~1 micrombull Mobilities

bull electron 025 microm in 1 nsbull hole 025 microm in 200 ns

bull Gap 112 eVbull Lower absorption coefficient device ~100 micrombull Mobilities

bull electron 250 microm in 1 nsbull hole 250 microm in 3 ns

23

Images of solar panel and strips copy sources unknown All rights reserved This content is excluded fromour Creative Commons license For more information see httpocwmiteduhelpfaq-fair-use

Diagrams copy sources unknown All rights reserved This content is excluded from our CreativeCommons license For more information see httpocwmiteduhelpfaq-fair-use24

Image is in the public domain

Example Concrete Science

copy source unknown All rights reserved This content is excludedfrom our Creative Commons license For more informationsee httpocwmiteduhelpfaq-fair-use

bull Cement13 accounts13 for13 5-shy‐1013 of13 global13 CO213 Emissions13 bull Cement13 is13 mainly13 made13 of13 synthe=c13 rock13 13 Clinkerbull 413 major13 phases13 Alite13 (Ca3SiO5)13 Belite13 (Ca2SiO4)13 Aluminate13 13 (Ca3Al2O6)13 Ferrite13 (Ca2AlFeO5)

bull Many13 different13 polymorphisms13 not13 fully13 understood

25

Surface Reactivity is Key Problem

sect Alite (C3S) sect 7 polymorphs sect Conslttutes 50-shy‐70 sect Reaclton with water Fast

sect Belite (C2S) sect 3 polymorphs sect Conslttutes 15-shy‐30 sect Reaclton with water Slow

bullWhy HowbullCan we tune the Belite reaction rate

Adapted from Cement Microscopy Halliburton Services Duncan OK

Courtesy Andrew R Barron License CC-BY

26

Itrsquos a quantum world

27

copy Shizuo KambayashiAP All rights reserved This content is excluded from our CreativeCommons license For more information see httpocwmiteduhelpfaq-fair-use

MIT OpenCourseWarehttpocwmitedu

3021J 1021J 10333J 18361J 2200J Introduction to Modelling and SimulationSpring 2012 For information about citing these materials or our Terms of Use visit httpocwmiteduterms

Page 6: 1.021, 3.021, 10.333, 22.00 Introduction to Modeling and ......1 1.021, 3.021, 10.333, 22.00 Introduction to Modeling and Simulation Spring 2012 Part II – Quantum Mechanical Methods

6Photos copy unknown All rights reserved This content is excluded from our CreativeCommons license For more information see httpocwmiteduhelpfaq-fair-use

7

Movies of a Quantum Ball Thrown into a Wall

8

Courtesy of Bernd Thaller Used with permission

Example Diels-Alder Reaction 13-butadiene + ethylene rarr cyclohexene

Courtesy ChemWiki

Predicting what these electrons do is what gives us those much-needed energy curves ndash quantum mechanics is key

9

See Lecture 1 video for animation copy James E KendallMSC Caltech All rightsreserved This content is excluded from our Creative Commons license Formore information see httpocwmiteduhelpfaq-fair-use

euro

A Little Bit of Schroumldinger

Written out explicitly the Schroumldinger equation looks like this

2 $ part 2 part 2 part 2 - partΨ(rt)+minus amp ) + V Ψ(rt) = i 2m partx 2 +

party 2 + partz2 ( partt

sect is the wavefunction for the system of particles which characterizes the particlersquos motion One can derive all properties of the system of particles from its wavefunction

sect We no longer ask ldquoWhere isare the particle(s)rdquo but instead ask ldquoWhat is the probability distribution governing the positionsrdquo

10

Solving the Schrodinger Equation

H(r) = E(r)

Analytic solutions become extremely complicated even for

simple systems

11

Year 1929hellip The underlying physical laws necessary for the mathematical theory of a large part of physics and the whole of chemistry are thus completely known and the difficulty is only that the exact application of these laws leads to equations much too complicated to be soluble

PAM Dirac Proc Roy Soc 123 714 (1929)

hellipand 1963 If there is no complete agreement [hellip] between the results of onersquos work and the experiment one should not allow oneself to be too discouraged [hellip]

PAM Dirac Scientific American May 1963

12

Density functional theory

Electron density Energy

E0 = E[n0] Hohenberg amp Kohn 1964

Non-interacting Interacting

-----

- ---

Walter Kohn (left) receiving the Nobel prize in chemistry in 1998 Kohn amp Sham 1965

--

13

Image of Walter Kohn receiving Nobel prizeremoved due to copyright restrictions

Why do we need quantum mechanics

Example Bonding and Structure

Figures by Nicola Marzari Photo courtesy of Nicola Marzari andDavid VanderbiltRutgers University

Paraelectric (cubic) and ferroelectric (tetragonal) phases of PbTiO3 14

Example Electronic optical magnetic properties

15

Courtesy of Felice Frankel Used with permission

Example Nanotechnology

Nanotechnology Scientist in Nanotechnology created The Spiderman Hulk

Image from Spiderman 2 copy Sony Pictures Image from The Hulk copy Universal Pictures All rights reserved This content is excluded from our Creative Commons license For more information see httpocwmiteduhelpfaq-fair-use

16

How small is nano 100 m = 1m

10-9 = 1 nanometer

109 m = 1 million km 100 m = 1m

Images from Eames Power of Ten film removed due to copyrightrestrictions See httpwwwpowersof10com

17

Nanotechnology Definition ldquoHow Super-Cows and Nanotechnology will Make Ice Cream HealthyrdquoldquoHow Super-Cows and Nanotechnology will Make Ice Cream HealthyrdquoldquoHow Super-Cows and Nanotechnology will Make Ice Cream Healthyrdquo

telegraphcouk August 21 2005

In a field somewhere in CountIn a field somewhere in CountIn a field somewhere in County Dy Dy Down Northern Ireland is a herdown Northern Ireland is a herdown Northern Ireland is a herd of 40 superof 40 superof 40 super-cows that could tak-cows that could tak-cows that could take all the poisonous guilt out ofe all the poisonous guilt out ofe all the poisonous guilt out of bingeing on ice cream Unilevbingeing on ice cream Unilevbingeing on ice cream Unilevererer the manufacturer of P the manufacturer of P the manufacturer of Persil and PGersil and PGersil and PG Tips is sponsoring a secret research project bTips is sponsoring a secret research project bTips is sponsoring a secret research project by a leading By a leading By a leading Britishritishritish agriculturagriculturagricultural science institution into how to reduce the leval science institution into how to reduce the leval science institution into how to reduce the levels ofels ofels of satursatursaturated fat in cows milkated fat in cows milkated fat in cows milk It is also experimenting with nanotechnologyIt is also experimenting with nanotechnologyIt is also experimenting with nanotechnology or the science of or the science of or the science of

y things Unilevinininvisibly tinvisibly tinvisibly tiny thingsy things er believUnilevUnilever believer believes that bes that bes that by halving the sizy halving the sizy halving the size ofe ofe of particles that makparticles that makparticles that make up the emulsion - or fatte up the emulsion - or fatte up the emulsion - or fatty oil - that it uses toy oil - that it uses toy oil - that it uses to makmakmake ice cream it could use 90 per cent less of the emulsione ice cream it could use 90 per cent less of the emulsione ice cream it could use 90 per cent less of the emulsion

18

Image copy source unknown All rights reserved This content is excluded from our CreativeCommons license For more information see httpocwmiteduhelpfaq-fair-use

New Optical Properties

Quantum Dots

bulk semiconductor

optically boring

Images of semiconductor material in glass jar and scooper copy sources unknownAll rights reserved This content is excluded from our Creative Commons licenseFor more information see httpocwmiteduhelpfaq-fair-use

optically exciting

quantum dot+

nano scooper

19

Courtesy of Felice Frankel Used with permission

Quantum Confinement

quantum dot

laser

bulk semiconductor

quantum confinement

Physical confinement of excited state leads to unique quantum effect light emitted depends on size

20

hole electron

In order to keep CO2 emissions in check we will need to consume half of our electricity through renewable sources by the year 2050

Need major improvements in efficiency and cost in order to take advantage of these resources

21

copy NREL All rights reserved This content is excluded fromour Creative Commons license For more information seehttpocwmiteduhelpfaq-fair-use

copy unknown All rights reserved This content is excluded

from

our Creative Commons license For more information see

httpocwmiteduhelpfaq-fair-use

Example make solar cells cheaper and more efficient

Understand predict and tailor these key fundamental processes

Four Basic Steps1) Convert a photon into an electron

and a hole 2) Electron and hole ldquothermalizerdquo 3) The electron-hole pair diffuses4) Electron and hole are separated

and taken out

22

Amorphous vs Crystalline Silicon Solar Cells

bull Gap 16-18 eVbull High absorption coefficient device ~1 micrombull Mobilities

bull electron 025 microm in 1 nsbull hole 025 microm in 200 ns

bull Gap 112 eVbull Lower absorption coefficient device ~100 micrombull Mobilities

bull electron 250 microm in 1 nsbull hole 250 microm in 3 ns

23

Images of solar panel and strips copy sources unknown All rights reserved This content is excluded fromour Creative Commons license For more information see httpocwmiteduhelpfaq-fair-use

Diagrams copy sources unknown All rights reserved This content is excluded from our CreativeCommons license For more information see httpocwmiteduhelpfaq-fair-use24

Image is in the public domain

Example Concrete Science

copy source unknown All rights reserved This content is excludedfrom our Creative Commons license For more informationsee httpocwmiteduhelpfaq-fair-use

bull Cement13 accounts13 for13 5-shy‐1013 of13 global13 CO213 Emissions13 bull Cement13 is13 mainly13 made13 of13 synthe=c13 rock13 13 Clinkerbull 413 major13 phases13 Alite13 (Ca3SiO5)13 Belite13 (Ca2SiO4)13 Aluminate13 13 (Ca3Al2O6)13 Ferrite13 (Ca2AlFeO5)

bull Many13 different13 polymorphisms13 not13 fully13 understood

25

Surface Reactivity is Key Problem

sect Alite (C3S) sect 7 polymorphs sect Conslttutes 50-shy‐70 sect Reaclton with water Fast

sect Belite (C2S) sect 3 polymorphs sect Conslttutes 15-shy‐30 sect Reaclton with water Slow

bullWhy HowbullCan we tune the Belite reaction rate

Adapted from Cement Microscopy Halliburton Services Duncan OK

Courtesy Andrew R Barron License CC-BY

26

Itrsquos a quantum world

27

copy Shizuo KambayashiAP All rights reserved This content is excluded from our CreativeCommons license For more information see httpocwmiteduhelpfaq-fair-use

MIT OpenCourseWarehttpocwmitedu

3021J 1021J 10333J 18361J 2200J Introduction to Modelling and SimulationSpring 2012 For information about citing these materials or our Terms of Use visit httpocwmiteduterms

Page 7: 1.021, 3.021, 10.333, 22.00 Introduction to Modeling and ......1 1.021, 3.021, 10.333, 22.00 Introduction to Modeling and Simulation Spring 2012 Part II – Quantum Mechanical Methods

7

Movies of a Quantum Ball Thrown into a Wall

8

Courtesy of Bernd Thaller Used with permission

Example Diels-Alder Reaction 13-butadiene + ethylene rarr cyclohexene

Courtesy ChemWiki

Predicting what these electrons do is what gives us those much-needed energy curves ndash quantum mechanics is key

9

See Lecture 1 video for animation copy James E KendallMSC Caltech All rightsreserved This content is excluded from our Creative Commons license Formore information see httpocwmiteduhelpfaq-fair-use

euro

A Little Bit of Schroumldinger

Written out explicitly the Schroumldinger equation looks like this

2 $ part 2 part 2 part 2 - partΨ(rt)+minus amp ) + V Ψ(rt) = i 2m partx 2 +

party 2 + partz2 ( partt

sect is the wavefunction for the system of particles which characterizes the particlersquos motion One can derive all properties of the system of particles from its wavefunction

sect We no longer ask ldquoWhere isare the particle(s)rdquo but instead ask ldquoWhat is the probability distribution governing the positionsrdquo

10

Solving the Schrodinger Equation

H(r) = E(r)

Analytic solutions become extremely complicated even for

simple systems

11

Year 1929hellip The underlying physical laws necessary for the mathematical theory of a large part of physics and the whole of chemistry are thus completely known and the difficulty is only that the exact application of these laws leads to equations much too complicated to be soluble

PAM Dirac Proc Roy Soc 123 714 (1929)

hellipand 1963 If there is no complete agreement [hellip] between the results of onersquos work and the experiment one should not allow oneself to be too discouraged [hellip]

PAM Dirac Scientific American May 1963

12

Density functional theory

Electron density Energy

E0 = E[n0] Hohenberg amp Kohn 1964

Non-interacting Interacting

-----

- ---

Walter Kohn (left) receiving the Nobel prize in chemistry in 1998 Kohn amp Sham 1965

--

13

Image of Walter Kohn receiving Nobel prizeremoved due to copyright restrictions

Why do we need quantum mechanics

Example Bonding and Structure

Figures by Nicola Marzari Photo courtesy of Nicola Marzari andDavid VanderbiltRutgers University

Paraelectric (cubic) and ferroelectric (tetragonal) phases of PbTiO3 14

Example Electronic optical magnetic properties

15

Courtesy of Felice Frankel Used with permission

Example Nanotechnology

Nanotechnology Scientist in Nanotechnology created The Spiderman Hulk

Image from Spiderman 2 copy Sony Pictures Image from The Hulk copy Universal Pictures All rights reserved This content is excluded from our Creative Commons license For more information see httpocwmiteduhelpfaq-fair-use

16

How small is nano 100 m = 1m

10-9 = 1 nanometer

109 m = 1 million km 100 m = 1m

Images from Eames Power of Ten film removed due to copyrightrestrictions See httpwwwpowersof10com

17

Nanotechnology Definition ldquoHow Super-Cows and Nanotechnology will Make Ice Cream HealthyrdquoldquoHow Super-Cows and Nanotechnology will Make Ice Cream HealthyrdquoldquoHow Super-Cows and Nanotechnology will Make Ice Cream Healthyrdquo

telegraphcouk August 21 2005

In a field somewhere in CountIn a field somewhere in CountIn a field somewhere in County Dy Dy Down Northern Ireland is a herdown Northern Ireland is a herdown Northern Ireland is a herd of 40 superof 40 superof 40 super-cows that could tak-cows that could tak-cows that could take all the poisonous guilt out ofe all the poisonous guilt out ofe all the poisonous guilt out of bingeing on ice cream Unilevbingeing on ice cream Unilevbingeing on ice cream Unilevererer the manufacturer of P the manufacturer of P the manufacturer of Persil and PGersil and PGersil and PG Tips is sponsoring a secret research project bTips is sponsoring a secret research project bTips is sponsoring a secret research project by a leading By a leading By a leading Britishritishritish agriculturagriculturagricultural science institution into how to reduce the leval science institution into how to reduce the leval science institution into how to reduce the levels ofels ofels of satursatursaturated fat in cows milkated fat in cows milkated fat in cows milk It is also experimenting with nanotechnologyIt is also experimenting with nanotechnologyIt is also experimenting with nanotechnology or the science of or the science of or the science of

y things Unilevinininvisibly tinvisibly tinvisibly tiny thingsy things er believUnilevUnilever believer believes that bes that bes that by halving the sizy halving the sizy halving the size ofe ofe of particles that makparticles that makparticles that make up the emulsion - or fatte up the emulsion - or fatte up the emulsion - or fatty oil - that it uses toy oil - that it uses toy oil - that it uses to makmakmake ice cream it could use 90 per cent less of the emulsione ice cream it could use 90 per cent less of the emulsione ice cream it could use 90 per cent less of the emulsion

18

Image copy source unknown All rights reserved This content is excluded from our CreativeCommons license For more information see httpocwmiteduhelpfaq-fair-use

New Optical Properties

Quantum Dots

bulk semiconductor

optically boring

Images of semiconductor material in glass jar and scooper copy sources unknownAll rights reserved This content is excluded from our Creative Commons licenseFor more information see httpocwmiteduhelpfaq-fair-use

optically exciting

quantum dot+

nano scooper

19

Courtesy of Felice Frankel Used with permission

Quantum Confinement

quantum dot

laser

bulk semiconductor

quantum confinement

Physical confinement of excited state leads to unique quantum effect light emitted depends on size

20

hole electron

In order to keep CO2 emissions in check we will need to consume half of our electricity through renewable sources by the year 2050

Need major improvements in efficiency and cost in order to take advantage of these resources

21

copy NREL All rights reserved This content is excluded fromour Creative Commons license For more information seehttpocwmiteduhelpfaq-fair-use

copy unknown All rights reserved This content is excluded

from

our Creative Commons license For more information see

httpocwmiteduhelpfaq-fair-use

Example make solar cells cheaper and more efficient

Understand predict and tailor these key fundamental processes

Four Basic Steps1) Convert a photon into an electron

and a hole 2) Electron and hole ldquothermalizerdquo 3) The electron-hole pair diffuses4) Electron and hole are separated

and taken out

22

Amorphous vs Crystalline Silicon Solar Cells

bull Gap 16-18 eVbull High absorption coefficient device ~1 micrombull Mobilities

bull electron 025 microm in 1 nsbull hole 025 microm in 200 ns

bull Gap 112 eVbull Lower absorption coefficient device ~100 micrombull Mobilities

bull electron 250 microm in 1 nsbull hole 250 microm in 3 ns

23

Images of solar panel and strips copy sources unknown All rights reserved This content is excluded fromour Creative Commons license For more information see httpocwmiteduhelpfaq-fair-use

Diagrams copy sources unknown All rights reserved This content is excluded from our CreativeCommons license For more information see httpocwmiteduhelpfaq-fair-use24

Image is in the public domain

Example Concrete Science

copy source unknown All rights reserved This content is excludedfrom our Creative Commons license For more informationsee httpocwmiteduhelpfaq-fair-use

bull Cement13 accounts13 for13 5-shy‐1013 of13 global13 CO213 Emissions13 bull Cement13 is13 mainly13 made13 of13 synthe=c13 rock13 13 Clinkerbull 413 major13 phases13 Alite13 (Ca3SiO5)13 Belite13 (Ca2SiO4)13 Aluminate13 13 (Ca3Al2O6)13 Ferrite13 (Ca2AlFeO5)

bull Many13 different13 polymorphisms13 not13 fully13 understood

25

Surface Reactivity is Key Problem

sect Alite (C3S) sect 7 polymorphs sect Conslttutes 50-shy‐70 sect Reaclton with water Fast

sect Belite (C2S) sect 3 polymorphs sect Conslttutes 15-shy‐30 sect Reaclton with water Slow

bullWhy HowbullCan we tune the Belite reaction rate

Adapted from Cement Microscopy Halliburton Services Duncan OK

Courtesy Andrew R Barron License CC-BY

26

Itrsquos a quantum world

27

copy Shizuo KambayashiAP All rights reserved This content is excluded from our CreativeCommons license For more information see httpocwmiteduhelpfaq-fair-use

MIT OpenCourseWarehttpocwmitedu

3021J 1021J 10333J 18361J 2200J Introduction to Modelling and SimulationSpring 2012 For information about citing these materials or our Terms of Use visit httpocwmiteduterms

Page 8: 1.021, 3.021, 10.333, 22.00 Introduction to Modeling and ......1 1.021, 3.021, 10.333, 22.00 Introduction to Modeling and Simulation Spring 2012 Part II – Quantum Mechanical Methods

Movies of a Quantum Ball Thrown into a Wall

8

Courtesy of Bernd Thaller Used with permission

Example Diels-Alder Reaction 13-butadiene + ethylene rarr cyclohexene

Courtesy ChemWiki

Predicting what these electrons do is what gives us those much-needed energy curves ndash quantum mechanics is key

9

See Lecture 1 video for animation copy James E KendallMSC Caltech All rightsreserved This content is excluded from our Creative Commons license Formore information see httpocwmiteduhelpfaq-fair-use

euro

A Little Bit of Schroumldinger

Written out explicitly the Schroumldinger equation looks like this

2 $ part 2 part 2 part 2 - partΨ(rt)+minus amp ) + V Ψ(rt) = i 2m partx 2 +

party 2 + partz2 ( partt

sect is the wavefunction for the system of particles which characterizes the particlersquos motion One can derive all properties of the system of particles from its wavefunction

sect We no longer ask ldquoWhere isare the particle(s)rdquo but instead ask ldquoWhat is the probability distribution governing the positionsrdquo

10

Solving the Schrodinger Equation

H(r) = E(r)

Analytic solutions become extremely complicated even for

simple systems

11

Year 1929hellip The underlying physical laws necessary for the mathematical theory of a large part of physics and the whole of chemistry are thus completely known and the difficulty is only that the exact application of these laws leads to equations much too complicated to be soluble

PAM Dirac Proc Roy Soc 123 714 (1929)

hellipand 1963 If there is no complete agreement [hellip] between the results of onersquos work and the experiment one should not allow oneself to be too discouraged [hellip]

PAM Dirac Scientific American May 1963

12

Density functional theory

Electron density Energy

E0 = E[n0] Hohenberg amp Kohn 1964

Non-interacting Interacting

-----

- ---

Walter Kohn (left) receiving the Nobel prize in chemistry in 1998 Kohn amp Sham 1965

--

13

Image of Walter Kohn receiving Nobel prizeremoved due to copyright restrictions

Why do we need quantum mechanics

Example Bonding and Structure

Figures by Nicola Marzari Photo courtesy of Nicola Marzari andDavid VanderbiltRutgers University

Paraelectric (cubic) and ferroelectric (tetragonal) phases of PbTiO3 14

Example Electronic optical magnetic properties

15

Courtesy of Felice Frankel Used with permission

Example Nanotechnology

Nanotechnology Scientist in Nanotechnology created The Spiderman Hulk

Image from Spiderman 2 copy Sony Pictures Image from The Hulk copy Universal Pictures All rights reserved This content is excluded from our Creative Commons license For more information see httpocwmiteduhelpfaq-fair-use

16

How small is nano 100 m = 1m

10-9 = 1 nanometer

109 m = 1 million km 100 m = 1m

Images from Eames Power of Ten film removed due to copyrightrestrictions See httpwwwpowersof10com

17

Nanotechnology Definition ldquoHow Super-Cows and Nanotechnology will Make Ice Cream HealthyrdquoldquoHow Super-Cows and Nanotechnology will Make Ice Cream HealthyrdquoldquoHow Super-Cows and Nanotechnology will Make Ice Cream Healthyrdquo

telegraphcouk August 21 2005

In a field somewhere in CountIn a field somewhere in CountIn a field somewhere in County Dy Dy Down Northern Ireland is a herdown Northern Ireland is a herdown Northern Ireland is a herd of 40 superof 40 superof 40 super-cows that could tak-cows that could tak-cows that could take all the poisonous guilt out ofe all the poisonous guilt out ofe all the poisonous guilt out of bingeing on ice cream Unilevbingeing on ice cream Unilevbingeing on ice cream Unilevererer the manufacturer of P the manufacturer of P the manufacturer of Persil and PGersil and PGersil and PG Tips is sponsoring a secret research project bTips is sponsoring a secret research project bTips is sponsoring a secret research project by a leading By a leading By a leading Britishritishritish agriculturagriculturagricultural science institution into how to reduce the leval science institution into how to reduce the leval science institution into how to reduce the levels ofels ofels of satursatursaturated fat in cows milkated fat in cows milkated fat in cows milk It is also experimenting with nanotechnologyIt is also experimenting with nanotechnologyIt is also experimenting with nanotechnology or the science of or the science of or the science of

y things Unilevinininvisibly tinvisibly tinvisibly tiny thingsy things er believUnilevUnilever believer believes that bes that bes that by halving the sizy halving the sizy halving the size ofe ofe of particles that makparticles that makparticles that make up the emulsion - or fatte up the emulsion - or fatte up the emulsion - or fatty oil - that it uses toy oil - that it uses toy oil - that it uses to makmakmake ice cream it could use 90 per cent less of the emulsione ice cream it could use 90 per cent less of the emulsione ice cream it could use 90 per cent less of the emulsion

18

Image copy source unknown All rights reserved This content is excluded from our CreativeCommons license For more information see httpocwmiteduhelpfaq-fair-use

New Optical Properties

Quantum Dots

bulk semiconductor

optically boring

Images of semiconductor material in glass jar and scooper copy sources unknownAll rights reserved This content is excluded from our Creative Commons licenseFor more information see httpocwmiteduhelpfaq-fair-use

optically exciting

quantum dot+

nano scooper

19

Courtesy of Felice Frankel Used with permission

Quantum Confinement

quantum dot

laser

bulk semiconductor

quantum confinement

Physical confinement of excited state leads to unique quantum effect light emitted depends on size

20

hole electron

In order to keep CO2 emissions in check we will need to consume half of our electricity through renewable sources by the year 2050

Need major improvements in efficiency and cost in order to take advantage of these resources

21

copy NREL All rights reserved This content is excluded fromour Creative Commons license For more information seehttpocwmiteduhelpfaq-fair-use

copy unknown All rights reserved This content is excluded

from

our Creative Commons license For more information see

httpocwmiteduhelpfaq-fair-use

Example make solar cells cheaper and more efficient

Understand predict and tailor these key fundamental processes

Four Basic Steps1) Convert a photon into an electron

and a hole 2) Electron and hole ldquothermalizerdquo 3) The electron-hole pair diffuses4) Electron and hole are separated

and taken out

22

Amorphous vs Crystalline Silicon Solar Cells

bull Gap 16-18 eVbull High absorption coefficient device ~1 micrombull Mobilities

bull electron 025 microm in 1 nsbull hole 025 microm in 200 ns

bull Gap 112 eVbull Lower absorption coefficient device ~100 micrombull Mobilities

bull electron 250 microm in 1 nsbull hole 250 microm in 3 ns

23

Images of solar panel and strips copy sources unknown All rights reserved This content is excluded fromour Creative Commons license For more information see httpocwmiteduhelpfaq-fair-use

Diagrams copy sources unknown All rights reserved This content is excluded from our CreativeCommons license For more information see httpocwmiteduhelpfaq-fair-use24

Image is in the public domain

Example Concrete Science

copy source unknown All rights reserved This content is excludedfrom our Creative Commons license For more informationsee httpocwmiteduhelpfaq-fair-use

bull Cement13 accounts13 for13 5-shy‐1013 of13 global13 CO213 Emissions13 bull Cement13 is13 mainly13 made13 of13 synthe=c13 rock13 13 Clinkerbull 413 major13 phases13 Alite13 (Ca3SiO5)13 Belite13 (Ca2SiO4)13 Aluminate13 13 (Ca3Al2O6)13 Ferrite13 (Ca2AlFeO5)

bull Many13 different13 polymorphisms13 not13 fully13 understood

25

Surface Reactivity is Key Problem

sect Alite (C3S) sect 7 polymorphs sect Conslttutes 50-shy‐70 sect Reaclton with water Fast

sect Belite (C2S) sect 3 polymorphs sect Conslttutes 15-shy‐30 sect Reaclton with water Slow

bullWhy HowbullCan we tune the Belite reaction rate

Adapted from Cement Microscopy Halliburton Services Duncan OK

Courtesy Andrew R Barron License CC-BY

26

Itrsquos a quantum world

27

copy Shizuo KambayashiAP All rights reserved This content is excluded from our CreativeCommons license For more information see httpocwmiteduhelpfaq-fair-use

MIT OpenCourseWarehttpocwmitedu

3021J 1021J 10333J 18361J 2200J Introduction to Modelling and SimulationSpring 2012 For information about citing these materials or our Terms of Use visit httpocwmiteduterms

Page 9: 1.021, 3.021, 10.333, 22.00 Introduction to Modeling and ......1 1.021, 3.021, 10.333, 22.00 Introduction to Modeling and Simulation Spring 2012 Part II – Quantum Mechanical Methods

Example Diels-Alder Reaction 13-butadiene + ethylene rarr cyclohexene

Courtesy ChemWiki

Predicting what these electrons do is what gives us those much-needed energy curves ndash quantum mechanics is key

9

See Lecture 1 video for animation copy James E KendallMSC Caltech All rightsreserved This content is excluded from our Creative Commons license Formore information see httpocwmiteduhelpfaq-fair-use

euro

A Little Bit of Schroumldinger

Written out explicitly the Schroumldinger equation looks like this

2 $ part 2 part 2 part 2 - partΨ(rt)+minus amp ) + V Ψ(rt) = i 2m partx 2 +

party 2 + partz2 ( partt

sect is the wavefunction for the system of particles which characterizes the particlersquos motion One can derive all properties of the system of particles from its wavefunction

sect We no longer ask ldquoWhere isare the particle(s)rdquo but instead ask ldquoWhat is the probability distribution governing the positionsrdquo

10

Solving the Schrodinger Equation

H(r) = E(r)

Analytic solutions become extremely complicated even for

simple systems

11

Year 1929hellip The underlying physical laws necessary for the mathematical theory of a large part of physics and the whole of chemistry are thus completely known and the difficulty is only that the exact application of these laws leads to equations much too complicated to be soluble

PAM Dirac Proc Roy Soc 123 714 (1929)

hellipand 1963 If there is no complete agreement [hellip] between the results of onersquos work and the experiment one should not allow oneself to be too discouraged [hellip]

PAM Dirac Scientific American May 1963

12

Density functional theory

Electron density Energy

E0 = E[n0] Hohenberg amp Kohn 1964

Non-interacting Interacting

-----

- ---

Walter Kohn (left) receiving the Nobel prize in chemistry in 1998 Kohn amp Sham 1965

--

13

Image of Walter Kohn receiving Nobel prizeremoved due to copyright restrictions

Why do we need quantum mechanics

Example Bonding and Structure

Figures by Nicola Marzari Photo courtesy of Nicola Marzari andDavid VanderbiltRutgers University

Paraelectric (cubic) and ferroelectric (tetragonal) phases of PbTiO3 14

Example Electronic optical magnetic properties

15

Courtesy of Felice Frankel Used with permission

Example Nanotechnology

Nanotechnology Scientist in Nanotechnology created The Spiderman Hulk

Image from Spiderman 2 copy Sony Pictures Image from The Hulk copy Universal Pictures All rights reserved This content is excluded from our Creative Commons license For more information see httpocwmiteduhelpfaq-fair-use

16

How small is nano 100 m = 1m

10-9 = 1 nanometer

109 m = 1 million km 100 m = 1m

Images from Eames Power of Ten film removed due to copyrightrestrictions See httpwwwpowersof10com

17

Nanotechnology Definition ldquoHow Super-Cows and Nanotechnology will Make Ice Cream HealthyrdquoldquoHow Super-Cows and Nanotechnology will Make Ice Cream HealthyrdquoldquoHow Super-Cows and Nanotechnology will Make Ice Cream Healthyrdquo

telegraphcouk August 21 2005

In a field somewhere in CountIn a field somewhere in CountIn a field somewhere in County Dy Dy Down Northern Ireland is a herdown Northern Ireland is a herdown Northern Ireland is a herd of 40 superof 40 superof 40 super-cows that could tak-cows that could tak-cows that could take all the poisonous guilt out ofe all the poisonous guilt out ofe all the poisonous guilt out of bingeing on ice cream Unilevbingeing on ice cream Unilevbingeing on ice cream Unilevererer the manufacturer of P the manufacturer of P the manufacturer of Persil and PGersil and PGersil and PG Tips is sponsoring a secret research project bTips is sponsoring a secret research project bTips is sponsoring a secret research project by a leading By a leading By a leading Britishritishritish agriculturagriculturagricultural science institution into how to reduce the leval science institution into how to reduce the leval science institution into how to reduce the levels ofels ofels of satursatursaturated fat in cows milkated fat in cows milkated fat in cows milk It is also experimenting with nanotechnologyIt is also experimenting with nanotechnologyIt is also experimenting with nanotechnology or the science of or the science of or the science of

y things Unilevinininvisibly tinvisibly tinvisibly tiny thingsy things er believUnilevUnilever believer believes that bes that bes that by halving the sizy halving the sizy halving the size ofe ofe of particles that makparticles that makparticles that make up the emulsion - or fatte up the emulsion - or fatte up the emulsion - or fatty oil - that it uses toy oil - that it uses toy oil - that it uses to makmakmake ice cream it could use 90 per cent less of the emulsione ice cream it could use 90 per cent less of the emulsione ice cream it could use 90 per cent less of the emulsion

18

Image copy source unknown All rights reserved This content is excluded from our CreativeCommons license For more information see httpocwmiteduhelpfaq-fair-use

New Optical Properties

Quantum Dots

bulk semiconductor

optically boring

Images of semiconductor material in glass jar and scooper copy sources unknownAll rights reserved This content is excluded from our Creative Commons licenseFor more information see httpocwmiteduhelpfaq-fair-use

optically exciting

quantum dot+

nano scooper

19

Courtesy of Felice Frankel Used with permission

Quantum Confinement

quantum dot

laser

bulk semiconductor

quantum confinement

Physical confinement of excited state leads to unique quantum effect light emitted depends on size

20

hole electron

In order to keep CO2 emissions in check we will need to consume half of our electricity through renewable sources by the year 2050

Need major improvements in efficiency and cost in order to take advantage of these resources

21

copy NREL All rights reserved This content is excluded fromour Creative Commons license For more information seehttpocwmiteduhelpfaq-fair-use

copy unknown All rights reserved This content is excluded

from

our Creative Commons license For more information see

httpocwmiteduhelpfaq-fair-use

Example make solar cells cheaper and more efficient

Understand predict and tailor these key fundamental processes

Four Basic Steps1) Convert a photon into an electron

and a hole 2) Electron and hole ldquothermalizerdquo 3) The electron-hole pair diffuses4) Electron and hole are separated

and taken out

22

Amorphous vs Crystalline Silicon Solar Cells

bull Gap 16-18 eVbull High absorption coefficient device ~1 micrombull Mobilities

bull electron 025 microm in 1 nsbull hole 025 microm in 200 ns

bull Gap 112 eVbull Lower absorption coefficient device ~100 micrombull Mobilities

bull electron 250 microm in 1 nsbull hole 250 microm in 3 ns

23

Images of solar panel and strips copy sources unknown All rights reserved This content is excluded fromour Creative Commons license For more information see httpocwmiteduhelpfaq-fair-use

Diagrams copy sources unknown All rights reserved This content is excluded from our CreativeCommons license For more information see httpocwmiteduhelpfaq-fair-use24

Image is in the public domain

Example Concrete Science

copy source unknown All rights reserved This content is excludedfrom our Creative Commons license For more informationsee httpocwmiteduhelpfaq-fair-use

bull Cement13 accounts13 for13 5-shy‐1013 of13 global13 CO213 Emissions13 bull Cement13 is13 mainly13 made13 of13 synthe=c13 rock13 13 Clinkerbull 413 major13 phases13 Alite13 (Ca3SiO5)13 Belite13 (Ca2SiO4)13 Aluminate13 13 (Ca3Al2O6)13 Ferrite13 (Ca2AlFeO5)

bull Many13 different13 polymorphisms13 not13 fully13 understood

25

Surface Reactivity is Key Problem

sect Alite (C3S) sect 7 polymorphs sect Conslttutes 50-shy‐70 sect Reaclton with water Fast

sect Belite (C2S) sect 3 polymorphs sect Conslttutes 15-shy‐30 sect Reaclton with water Slow

bullWhy HowbullCan we tune the Belite reaction rate

Adapted from Cement Microscopy Halliburton Services Duncan OK

Courtesy Andrew R Barron License CC-BY

26

Itrsquos a quantum world

27

copy Shizuo KambayashiAP All rights reserved This content is excluded from our CreativeCommons license For more information see httpocwmiteduhelpfaq-fair-use

MIT OpenCourseWarehttpocwmitedu

3021J 1021J 10333J 18361J 2200J Introduction to Modelling and SimulationSpring 2012 For information about citing these materials or our Terms of Use visit httpocwmiteduterms

Page 10: 1.021, 3.021, 10.333, 22.00 Introduction to Modeling and ......1 1.021, 3.021, 10.333, 22.00 Introduction to Modeling and Simulation Spring 2012 Part II – Quantum Mechanical Methods

euro

A Little Bit of Schroumldinger

Written out explicitly the Schroumldinger equation looks like this

2 $ part 2 part 2 part 2 - partΨ(rt)+minus amp ) + V Ψ(rt) = i 2m partx 2 +

party 2 + partz2 ( partt

sect is the wavefunction for the system of particles which characterizes the particlersquos motion One can derive all properties of the system of particles from its wavefunction

sect We no longer ask ldquoWhere isare the particle(s)rdquo but instead ask ldquoWhat is the probability distribution governing the positionsrdquo

10

Solving the Schrodinger Equation

H(r) = E(r)

Analytic solutions become extremely complicated even for

simple systems

11

Year 1929hellip The underlying physical laws necessary for the mathematical theory of a large part of physics and the whole of chemistry are thus completely known and the difficulty is only that the exact application of these laws leads to equations much too complicated to be soluble

PAM Dirac Proc Roy Soc 123 714 (1929)

hellipand 1963 If there is no complete agreement [hellip] between the results of onersquos work and the experiment one should not allow oneself to be too discouraged [hellip]

PAM Dirac Scientific American May 1963

12

Density functional theory

Electron density Energy

E0 = E[n0] Hohenberg amp Kohn 1964

Non-interacting Interacting

-----

- ---

Walter Kohn (left) receiving the Nobel prize in chemistry in 1998 Kohn amp Sham 1965

--

13

Image of Walter Kohn receiving Nobel prizeremoved due to copyright restrictions

Why do we need quantum mechanics

Example Bonding and Structure

Figures by Nicola Marzari Photo courtesy of Nicola Marzari andDavid VanderbiltRutgers University

Paraelectric (cubic) and ferroelectric (tetragonal) phases of PbTiO3 14

Example Electronic optical magnetic properties

15

Courtesy of Felice Frankel Used with permission

Example Nanotechnology

Nanotechnology Scientist in Nanotechnology created The Spiderman Hulk

Image from Spiderman 2 copy Sony Pictures Image from The Hulk copy Universal Pictures All rights reserved This content is excluded from our Creative Commons license For more information see httpocwmiteduhelpfaq-fair-use

16

How small is nano 100 m = 1m

10-9 = 1 nanometer

109 m = 1 million km 100 m = 1m

Images from Eames Power of Ten film removed due to copyrightrestrictions See httpwwwpowersof10com

17

Nanotechnology Definition ldquoHow Super-Cows and Nanotechnology will Make Ice Cream HealthyrdquoldquoHow Super-Cows and Nanotechnology will Make Ice Cream HealthyrdquoldquoHow Super-Cows and Nanotechnology will Make Ice Cream Healthyrdquo

telegraphcouk August 21 2005

In a field somewhere in CountIn a field somewhere in CountIn a field somewhere in County Dy Dy Down Northern Ireland is a herdown Northern Ireland is a herdown Northern Ireland is a herd of 40 superof 40 superof 40 super-cows that could tak-cows that could tak-cows that could take all the poisonous guilt out ofe all the poisonous guilt out ofe all the poisonous guilt out of bingeing on ice cream Unilevbingeing on ice cream Unilevbingeing on ice cream Unilevererer the manufacturer of P the manufacturer of P the manufacturer of Persil and PGersil and PGersil and PG Tips is sponsoring a secret research project bTips is sponsoring a secret research project bTips is sponsoring a secret research project by a leading By a leading By a leading Britishritishritish agriculturagriculturagricultural science institution into how to reduce the leval science institution into how to reduce the leval science institution into how to reduce the levels ofels ofels of satursatursaturated fat in cows milkated fat in cows milkated fat in cows milk It is also experimenting with nanotechnologyIt is also experimenting with nanotechnologyIt is also experimenting with nanotechnology or the science of or the science of or the science of

y things Unilevinininvisibly tinvisibly tinvisibly tiny thingsy things er believUnilevUnilever believer believes that bes that bes that by halving the sizy halving the sizy halving the size ofe ofe of particles that makparticles that makparticles that make up the emulsion - or fatte up the emulsion - or fatte up the emulsion - or fatty oil - that it uses toy oil - that it uses toy oil - that it uses to makmakmake ice cream it could use 90 per cent less of the emulsione ice cream it could use 90 per cent less of the emulsione ice cream it could use 90 per cent less of the emulsion

18

Image copy source unknown All rights reserved This content is excluded from our CreativeCommons license For more information see httpocwmiteduhelpfaq-fair-use

New Optical Properties

Quantum Dots

bulk semiconductor

optically boring

Images of semiconductor material in glass jar and scooper copy sources unknownAll rights reserved This content is excluded from our Creative Commons licenseFor more information see httpocwmiteduhelpfaq-fair-use

optically exciting

quantum dot+

nano scooper

19

Courtesy of Felice Frankel Used with permission

Quantum Confinement

quantum dot

laser

bulk semiconductor

quantum confinement

Physical confinement of excited state leads to unique quantum effect light emitted depends on size

20

hole electron

In order to keep CO2 emissions in check we will need to consume half of our electricity through renewable sources by the year 2050

Need major improvements in efficiency and cost in order to take advantage of these resources

21

copy NREL All rights reserved This content is excluded fromour Creative Commons license For more information seehttpocwmiteduhelpfaq-fair-use

copy unknown All rights reserved This content is excluded

from

our Creative Commons license For more information see

httpocwmiteduhelpfaq-fair-use

Example make solar cells cheaper and more efficient

Understand predict and tailor these key fundamental processes

Four Basic Steps1) Convert a photon into an electron

and a hole 2) Electron and hole ldquothermalizerdquo 3) The electron-hole pair diffuses4) Electron and hole are separated

and taken out

22

Amorphous vs Crystalline Silicon Solar Cells

bull Gap 16-18 eVbull High absorption coefficient device ~1 micrombull Mobilities

bull electron 025 microm in 1 nsbull hole 025 microm in 200 ns

bull Gap 112 eVbull Lower absorption coefficient device ~100 micrombull Mobilities

bull electron 250 microm in 1 nsbull hole 250 microm in 3 ns

23

Images of solar panel and strips copy sources unknown All rights reserved This content is excluded fromour Creative Commons license For more information see httpocwmiteduhelpfaq-fair-use

Diagrams copy sources unknown All rights reserved This content is excluded from our CreativeCommons license For more information see httpocwmiteduhelpfaq-fair-use24

Image is in the public domain

Example Concrete Science

copy source unknown All rights reserved This content is excludedfrom our Creative Commons license For more informationsee httpocwmiteduhelpfaq-fair-use

bull Cement13 accounts13 for13 5-shy‐1013 of13 global13 CO213 Emissions13 bull Cement13 is13 mainly13 made13 of13 synthe=c13 rock13 13 Clinkerbull 413 major13 phases13 Alite13 (Ca3SiO5)13 Belite13 (Ca2SiO4)13 Aluminate13 13 (Ca3Al2O6)13 Ferrite13 (Ca2AlFeO5)

bull Many13 different13 polymorphisms13 not13 fully13 understood

25

Surface Reactivity is Key Problem

sect Alite (C3S) sect 7 polymorphs sect Conslttutes 50-shy‐70 sect Reaclton with water Fast

sect Belite (C2S) sect 3 polymorphs sect Conslttutes 15-shy‐30 sect Reaclton with water Slow

bullWhy HowbullCan we tune the Belite reaction rate

Adapted from Cement Microscopy Halliburton Services Duncan OK

Courtesy Andrew R Barron License CC-BY

26

Itrsquos a quantum world

27

copy Shizuo KambayashiAP All rights reserved This content is excluded from our CreativeCommons license For more information see httpocwmiteduhelpfaq-fair-use

MIT OpenCourseWarehttpocwmitedu

3021J 1021J 10333J 18361J 2200J Introduction to Modelling and SimulationSpring 2012 For information about citing these materials or our Terms of Use visit httpocwmiteduterms

Page 11: 1.021, 3.021, 10.333, 22.00 Introduction to Modeling and ......1 1.021, 3.021, 10.333, 22.00 Introduction to Modeling and Simulation Spring 2012 Part II – Quantum Mechanical Methods

Solving the Schrodinger Equation

H(r) = E(r)

Analytic solutions become extremely complicated even for

simple systems

11

Year 1929hellip The underlying physical laws necessary for the mathematical theory of a large part of physics and the whole of chemistry are thus completely known and the difficulty is only that the exact application of these laws leads to equations much too complicated to be soluble

PAM Dirac Proc Roy Soc 123 714 (1929)

hellipand 1963 If there is no complete agreement [hellip] between the results of onersquos work and the experiment one should not allow oneself to be too discouraged [hellip]

PAM Dirac Scientific American May 1963

12

Density functional theory

Electron density Energy

E0 = E[n0] Hohenberg amp Kohn 1964

Non-interacting Interacting

-----

- ---

Walter Kohn (left) receiving the Nobel prize in chemistry in 1998 Kohn amp Sham 1965

--

13

Image of Walter Kohn receiving Nobel prizeremoved due to copyright restrictions

Why do we need quantum mechanics

Example Bonding and Structure

Figures by Nicola Marzari Photo courtesy of Nicola Marzari andDavid VanderbiltRutgers University

Paraelectric (cubic) and ferroelectric (tetragonal) phases of PbTiO3 14

Example Electronic optical magnetic properties

15

Courtesy of Felice Frankel Used with permission

Example Nanotechnology

Nanotechnology Scientist in Nanotechnology created The Spiderman Hulk

Image from Spiderman 2 copy Sony Pictures Image from The Hulk copy Universal Pictures All rights reserved This content is excluded from our Creative Commons license For more information see httpocwmiteduhelpfaq-fair-use

16

How small is nano 100 m = 1m

10-9 = 1 nanometer

109 m = 1 million km 100 m = 1m

Images from Eames Power of Ten film removed due to copyrightrestrictions See httpwwwpowersof10com

17

Nanotechnology Definition ldquoHow Super-Cows and Nanotechnology will Make Ice Cream HealthyrdquoldquoHow Super-Cows and Nanotechnology will Make Ice Cream HealthyrdquoldquoHow Super-Cows and Nanotechnology will Make Ice Cream Healthyrdquo

telegraphcouk August 21 2005

In a field somewhere in CountIn a field somewhere in CountIn a field somewhere in County Dy Dy Down Northern Ireland is a herdown Northern Ireland is a herdown Northern Ireland is a herd of 40 superof 40 superof 40 super-cows that could tak-cows that could tak-cows that could take all the poisonous guilt out ofe all the poisonous guilt out ofe all the poisonous guilt out of bingeing on ice cream Unilevbingeing on ice cream Unilevbingeing on ice cream Unilevererer the manufacturer of P the manufacturer of P the manufacturer of Persil and PGersil and PGersil and PG Tips is sponsoring a secret research project bTips is sponsoring a secret research project bTips is sponsoring a secret research project by a leading By a leading By a leading Britishritishritish agriculturagriculturagricultural science institution into how to reduce the leval science institution into how to reduce the leval science institution into how to reduce the levels ofels ofels of satursatursaturated fat in cows milkated fat in cows milkated fat in cows milk It is also experimenting with nanotechnologyIt is also experimenting with nanotechnologyIt is also experimenting with nanotechnology or the science of or the science of or the science of

y things Unilevinininvisibly tinvisibly tinvisibly tiny thingsy things er believUnilevUnilever believer believes that bes that bes that by halving the sizy halving the sizy halving the size ofe ofe of particles that makparticles that makparticles that make up the emulsion - or fatte up the emulsion - or fatte up the emulsion - or fatty oil - that it uses toy oil - that it uses toy oil - that it uses to makmakmake ice cream it could use 90 per cent less of the emulsione ice cream it could use 90 per cent less of the emulsione ice cream it could use 90 per cent less of the emulsion

18

Image copy source unknown All rights reserved This content is excluded from our CreativeCommons license For more information see httpocwmiteduhelpfaq-fair-use

New Optical Properties

Quantum Dots

bulk semiconductor

optically boring

Images of semiconductor material in glass jar and scooper copy sources unknownAll rights reserved This content is excluded from our Creative Commons licenseFor more information see httpocwmiteduhelpfaq-fair-use

optically exciting

quantum dot+

nano scooper

19

Courtesy of Felice Frankel Used with permission

Quantum Confinement

quantum dot

laser

bulk semiconductor

quantum confinement

Physical confinement of excited state leads to unique quantum effect light emitted depends on size

20

hole electron

In order to keep CO2 emissions in check we will need to consume half of our electricity through renewable sources by the year 2050

Need major improvements in efficiency and cost in order to take advantage of these resources

21

copy NREL All rights reserved This content is excluded fromour Creative Commons license For more information seehttpocwmiteduhelpfaq-fair-use

copy unknown All rights reserved This content is excluded

from

our Creative Commons license For more information see

httpocwmiteduhelpfaq-fair-use

Example make solar cells cheaper and more efficient

Understand predict and tailor these key fundamental processes

Four Basic Steps1) Convert a photon into an electron

and a hole 2) Electron and hole ldquothermalizerdquo 3) The electron-hole pair diffuses4) Electron and hole are separated

and taken out

22

Amorphous vs Crystalline Silicon Solar Cells

bull Gap 16-18 eVbull High absorption coefficient device ~1 micrombull Mobilities

bull electron 025 microm in 1 nsbull hole 025 microm in 200 ns

bull Gap 112 eVbull Lower absorption coefficient device ~100 micrombull Mobilities

bull electron 250 microm in 1 nsbull hole 250 microm in 3 ns

23

Images of solar panel and strips copy sources unknown All rights reserved This content is excluded fromour Creative Commons license For more information see httpocwmiteduhelpfaq-fair-use

Diagrams copy sources unknown All rights reserved This content is excluded from our CreativeCommons license For more information see httpocwmiteduhelpfaq-fair-use24

Image is in the public domain

Example Concrete Science

copy source unknown All rights reserved This content is excludedfrom our Creative Commons license For more informationsee httpocwmiteduhelpfaq-fair-use

bull Cement13 accounts13 for13 5-shy‐1013 of13 global13 CO213 Emissions13 bull Cement13 is13 mainly13 made13 of13 synthe=c13 rock13 13 Clinkerbull 413 major13 phases13 Alite13 (Ca3SiO5)13 Belite13 (Ca2SiO4)13 Aluminate13 13 (Ca3Al2O6)13 Ferrite13 (Ca2AlFeO5)

bull Many13 different13 polymorphisms13 not13 fully13 understood

25

Surface Reactivity is Key Problem

sect Alite (C3S) sect 7 polymorphs sect Conslttutes 50-shy‐70 sect Reaclton with water Fast

sect Belite (C2S) sect 3 polymorphs sect Conslttutes 15-shy‐30 sect Reaclton with water Slow

bullWhy HowbullCan we tune the Belite reaction rate

Adapted from Cement Microscopy Halliburton Services Duncan OK

Courtesy Andrew R Barron License CC-BY

26

Itrsquos a quantum world

27

copy Shizuo KambayashiAP All rights reserved This content is excluded from our CreativeCommons license For more information see httpocwmiteduhelpfaq-fair-use

MIT OpenCourseWarehttpocwmitedu

3021J 1021J 10333J 18361J 2200J Introduction to Modelling and SimulationSpring 2012 For information about citing these materials or our Terms of Use visit httpocwmiteduterms

Page 12: 1.021, 3.021, 10.333, 22.00 Introduction to Modeling and ......1 1.021, 3.021, 10.333, 22.00 Introduction to Modeling and Simulation Spring 2012 Part II – Quantum Mechanical Methods

Year 1929hellip The underlying physical laws necessary for the mathematical theory of a large part of physics and the whole of chemistry are thus completely known and the difficulty is only that the exact application of these laws leads to equations much too complicated to be soluble

PAM Dirac Proc Roy Soc 123 714 (1929)

hellipand 1963 If there is no complete agreement [hellip] between the results of onersquos work and the experiment one should not allow oneself to be too discouraged [hellip]

PAM Dirac Scientific American May 1963

12

Density functional theory

Electron density Energy

E0 = E[n0] Hohenberg amp Kohn 1964

Non-interacting Interacting

-----

- ---

Walter Kohn (left) receiving the Nobel prize in chemistry in 1998 Kohn amp Sham 1965

--

13

Image of Walter Kohn receiving Nobel prizeremoved due to copyright restrictions

Why do we need quantum mechanics

Example Bonding and Structure

Figures by Nicola Marzari Photo courtesy of Nicola Marzari andDavid VanderbiltRutgers University

Paraelectric (cubic) and ferroelectric (tetragonal) phases of PbTiO3 14

Example Electronic optical magnetic properties

15

Courtesy of Felice Frankel Used with permission

Example Nanotechnology

Nanotechnology Scientist in Nanotechnology created The Spiderman Hulk

Image from Spiderman 2 copy Sony Pictures Image from The Hulk copy Universal Pictures All rights reserved This content is excluded from our Creative Commons license For more information see httpocwmiteduhelpfaq-fair-use

16

How small is nano 100 m = 1m

10-9 = 1 nanometer

109 m = 1 million km 100 m = 1m

Images from Eames Power of Ten film removed due to copyrightrestrictions See httpwwwpowersof10com

17

Nanotechnology Definition ldquoHow Super-Cows and Nanotechnology will Make Ice Cream HealthyrdquoldquoHow Super-Cows and Nanotechnology will Make Ice Cream HealthyrdquoldquoHow Super-Cows and Nanotechnology will Make Ice Cream Healthyrdquo

telegraphcouk August 21 2005

In a field somewhere in CountIn a field somewhere in CountIn a field somewhere in County Dy Dy Down Northern Ireland is a herdown Northern Ireland is a herdown Northern Ireland is a herd of 40 superof 40 superof 40 super-cows that could tak-cows that could tak-cows that could take all the poisonous guilt out ofe all the poisonous guilt out ofe all the poisonous guilt out of bingeing on ice cream Unilevbingeing on ice cream Unilevbingeing on ice cream Unilevererer the manufacturer of P the manufacturer of P the manufacturer of Persil and PGersil and PGersil and PG Tips is sponsoring a secret research project bTips is sponsoring a secret research project bTips is sponsoring a secret research project by a leading By a leading By a leading Britishritishritish agriculturagriculturagricultural science institution into how to reduce the leval science institution into how to reduce the leval science institution into how to reduce the levels ofels ofels of satursatursaturated fat in cows milkated fat in cows milkated fat in cows milk It is also experimenting with nanotechnologyIt is also experimenting with nanotechnologyIt is also experimenting with nanotechnology or the science of or the science of or the science of

y things Unilevinininvisibly tinvisibly tinvisibly tiny thingsy things er believUnilevUnilever believer believes that bes that bes that by halving the sizy halving the sizy halving the size ofe ofe of particles that makparticles that makparticles that make up the emulsion - or fatte up the emulsion - or fatte up the emulsion - or fatty oil - that it uses toy oil - that it uses toy oil - that it uses to makmakmake ice cream it could use 90 per cent less of the emulsione ice cream it could use 90 per cent less of the emulsione ice cream it could use 90 per cent less of the emulsion

18

Image copy source unknown All rights reserved This content is excluded from our CreativeCommons license For more information see httpocwmiteduhelpfaq-fair-use

New Optical Properties

Quantum Dots

bulk semiconductor

optically boring

Images of semiconductor material in glass jar and scooper copy sources unknownAll rights reserved This content is excluded from our Creative Commons licenseFor more information see httpocwmiteduhelpfaq-fair-use

optically exciting

quantum dot+

nano scooper

19

Courtesy of Felice Frankel Used with permission

Quantum Confinement

quantum dot

laser

bulk semiconductor

quantum confinement

Physical confinement of excited state leads to unique quantum effect light emitted depends on size

20

hole electron

In order to keep CO2 emissions in check we will need to consume half of our electricity through renewable sources by the year 2050

Need major improvements in efficiency and cost in order to take advantage of these resources

21

copy NREL All rights reserved This content is excluded fromour Creative Commons license For more information seehttpocwmiteduhelpfaq-fair-use

copy unknown All rights reserved This content is excluded

from

our Creative Commons license For more information see

httpocwmiteduhelpfaq-fair-use

Example make solar cells cheaper and more efficient

Understand predict and tailor these key fundamental processes

Four Basic Steps1) Convert a photon into an electron

and a hole 2) Electron and hole ldquothermalizerdquo 3) The electron-hole pair diffuses4) Electron and hole are separated

and taken out

22

Amorphous vs Crystalline Silicon Solar Cells

bull Gap 16-18 eVbull High absorption coefficient device ~1 micrombull Mobilities

bull electron 025 microm in 1 nsbull hole 025 microm in 200 ns

bull Gap 112 eVbull Lower absorption coefficient device ~100 micrombull Mobilities

bull electron 250 microm in 1 nsbull hole 250 microm in 3 ns

23

Images of solar panel and strips copy sources unknown All rights reserved This content is excluded fromour Creative Commons license For more information see httpocwmiteduhelpfaq-fair-use

Diagrams copy sources unknown All rights reserved This content is excluded from our CreativeCommons license For more information see httpocwmiteduhelpfaq-fair-use24

Image is in the public domain

Example Concrete Science

copy source unknown All rights reserved This content is excludedfrom our Creative Commons license For more informationsee httpocwmiteduhelpfaq-fair-use

bull Cement13 accounts13 for13 5-shy‐1013 of13 global13 CO213 Emissions13 bull Cement13 is13 mainly13 made13 of13 synthe=c13 rock13 13 Clinkerbull 413 major13 phases13 Alite13 (Ca3SiO5)13 Belite13 (Ca2SiO4)13 Aluminate13 13 (Ca3Al2O6)13 Ferrite13 (Ca2AlFeO5)

bull Many13 different13 polymorphisms13 not13 fully13 understood

25

Surface Reactivity is Key Problem

sect Alite (C3S) sect 7 polymorphs sect Conslttutes 50-shy‐70 sect Reaclton with water Fast

sect Belite (C2S) sect 3 polymorphs sect Conslttutes 15-shy‐30 sect Reaclton with water Slow

bullWhy HowbullCan we tune the Belite reaction rate

Adapted from Cement Microscopy Halliburton Services Duncan OK

Courtesy Andrew R Barron License CC-BY

26

Itrsquos a quantum world

27

copy Shizuo KambayashiAP All rights reserved This content is excluded from our CreativeCommons license For more information see httpocwmiteduhelpfaq-fair-use

MIT OpenCourseWarehttpocwmitedu

3021J 1021J 10333J 18361J 2200J Introduction to Modelling and SimulationSpring 2012 For information about citing these materials or our Terms of Use visit httpocwmiteduterms

Page 13: 1.021, 3.021, 10.333, 22.00 Introduction to Modeling and ......1 1.021, 3.021, 10.333, 22.00 Introduction to Modeling and Simulation Spring 2012 Part II – Quantum Mechanical Methods

Density functional theory

Electron density Energy

E0 = E[n0] Hohenberg amp Kohn 1964

Non-interacting Interacting

-----

- ---

Walter Kohn (left) receiving the Nobel prize in chemistry in 1998 Kohn amp Sham 1965

--

13

Image of Walter Kohn receiving Nobel prizeremoved due to copyright restrictions

Why do we need quantum mechanics

Example Bonding and Structure

Figures by Nicola Marzari Photo courtesy of Nicola Marzari andDavid VanderbiltRutgers University

Paraelectric (cubic) and ferroelectric (tetragonal) phases of PbTiO3 14

Example Electronic optical magnetic properties

15

Courtesy of Felice Frankel Used with permission

Example Nanotechnology

Nanotechnology Scientist in Nanotechnology created The Spiderman Hulk

Image from Spiderman 2 copy Sony Pictures Image from The Hulk copy Universal Pictures All rights reserved This content is excluded from our Creative Commons license For more information see httpocwmiteduhelpfaq-fair-use

16

How small is nano 100 m = 1m

10-9 = 1 nanometer

109 m = 1 million km 100 m = 1m

Images from Eames Power of Ten film removed due to copyrightrestrictions See httpwwwpowersof10com

17

Nanotechnology Definition ldquoHow Super-Cows and Nanotechnology will Make Ice Cream HealthyrdquoldquoHow Super-Cows and Nanotechnology will Make Ice Cream HealthyrdquoldquoHow Super-Cows and Nanotechnology will Make Ice Cream Healthyrdquo

telegraphcouk August 21 2005

In a field somewhere in CountIn a field somewhere in CountIn a field somewhere in County Dy Dy Down Northern Ireland is a herdown Northern Ireland is a herdown Northern Ireland is a herd of 40 superof 40 superof 40 super-cows that could tak-cows that could tak-cows that could take all the poisonous guilt out ofe all the poisonous guilt out ofe all the poisonous guilt out of bingeing on ice cream Unilevbingeing on ice cream Unilevbingeing on ice cream Unilevererer the manufacturer of P the manufacturer of P the manufacturer of Persil and PGersil and PGersil and PG Tips is sponsoring a secret research project bTips is sponsoring a secret research project bTips is sponsoring a secret research project by a leading By a leading By a leading Britishritishritish agriculturagriculturagricultural science institution into how to reduce the leval science institution into how to reduce the leval science institution into how to reduce the levels ofels ofels of satursatursaturated fat in cows milkated fat in cows milkated fat in cows milk It is also experimenting with nanotechnologyIt is also experimenting with nanotechnologyIt is also experimenting with nanotechnology or the science of or the science of or the science of

y things Unilevinininvisibly tinvisibly tinvisibly tiny thingsy things er believUnilevUnilever believer believes that bes that bes that by halving the sizy halving the sizy halving the size ofe ofe of particles that makparticles that makparticles that make up the emulsion - or fatte up the emulsion - or fatte up the emulsion - or fatty oil - that it uses toy oil - that it uses toy oil - that it uses to makmakmake ice cream it could use 90 per cent less of the emulsione ice cream it could use 90 per cent less of the emulsione ice cream it could use 90 per cent less of the emulsion

18

Image copy source unknown All rights reserved This content is excluded from our CreativeCommons license For more information see httpocwmiteduhelpfaq-fair-use

New Optical Properties

Quantum Dots

bulk semiconductor

optically boring

Images of semiconductor material in glass jar and scooper copy sources unknownAll rights reserved This content is excluded from our Creative Commons licenseFor more information see httpocwmiteduhelpfaq-fair-use

optically exciting

quantum dot+

nano scooper

19

Courtesy of Felice Frankel Used with permission

Quantum Confinement

quantum dot

laser

bulk semiconductor

quantum confinement

Physical confinement of excited state leads to unique quantum effect light emitted depends on size

20

hole electron

In order to keep CO2 emissions in check we will need to consume half of our electricity through renewable sources by the year 2050

Need major improvements in efficiency and cost in order to take advantage of these resources

21

copy NREL All rights reserved This content is excluded fromour Creative Commons license For more information seehttpocwmiteduhelpfaq-fair-use

copy unknown All rights reserved This content is excluded

from

our Creative Commons license For more information see

httpocwmiteduhelpfaq-fair-use

Example make solar cells cheaper and more efficient

Understand predict and tailor these key fundamental processes

Four Basic Steps1) Convert a photon into an electron

and a hole 2) Electron and hole ldquothermalizerdquo 3) The electron-hole pair diffuses4) Electron and hole are separated

and taken out

22

Amorphous vs Crystalline Silicon Solar Cells

bull Gap 16-18 eVbull High absorption coefficient device ~1 micrombull Mobilities

bull electron 025 microm in 1 nsbull hole 025 microm in 200 ns

bull Gap 112 eVbull Lower absorption coefficient device ~100 micrombull Mobilities

bull electron 250 microm in 1 nsbull hole 250 microm in 3 ns

23

Images of solar panel and strips copy sources unknown All rights reserved This content is excluded fromour Creative Commons license For more information see httpocwmiteduhelpfaq-fair-use

Diagrams copy sources unknown All rights reserved This content is excluded from our CreativeCommons license For more information see httpocwmiteduhelpfaq-fair-use24

Image is in the public domain

Example Concrete Science

copy source unknown All rights reserved This content is excludedfrom our Creative Commons license For more informationsee httpocwmiteduhelpfaq-fair-use

bull Cement13 accounts13 for13 5-shy‐1013 of13 global13 CO213 Emissions13 bull Cement13 is13 mainly13 made13 of13 synthe=c13 rock13 13 Clinkerbull 413 major13 phases13 Alite13 (Ca3SiO5)13 Belite13 (Ca2SiO4)13 Aluminate13 13 (Ca3Al2O6)13 Ferrite13 (Ca2AlFeO5)

bull Many13 different13 polymorphisms13 not13 fully13 understood

25

Surface Reactivity is Key Problem

sect Alite (C3S) sect 7 polymorphs sect Conslttutes 50-shy‐70 sect Reaclton with water Fast

sect Belite (C2S) sect 3 polymorphs sect Conslttutes 15-shy‐30 sect Reaclton with water Slow

bullWhy HowbullCan we tune the Belite reaction rate

Adapted from Cement Microscopy Halliburton Services Duncan OK

Courtesy Andrew R Barron License CC-BY

26

Itrsquos a quantum world

27

copy Shizuo KambayashiAP All rights reserved This content is excluded from our CreativeCommons license For more information see httpocwmiteduhelpfaq-fair-use

MIT OpenCourseWarehttpocwmitedu

3021J 1021J 10333J 18361J 2200J Introduction to Modelling and SimulationSpring 2012 For information about citing these materials or our Terms of Use visit httpocwmiteduterms

Page 14: 1.021, 3.021, 10.333, 22.00 Introduction to Modeling and ......1 1.021, 3.021, 10.333, 22.00 Introduction to Modeling and Simulation Spring 2012 Part II – Quantum Mechanical Methods

Why do we need quantum mechanics

Example Bonding and Structure

Figures by Nicola Marzari Photo courtesy of Nicola Marzari andDavid VanderbiltRutgers University

Paraelectric (cubic) and ferroelectric (tetragonal) phases of PbTiO3 14

Example Electronic optical magnetic properties

15

Courtesy of Felice Frankel Used with permission

Example Nanotechnology

Nanotechnology Scientist in Nanotechnology created The Spiderman Hulk

Image from Spiderman 2 copy Sony Pictures Image from The Hulk copy Universal Pictures All rights reserved This content is excluded from our Creative Commons license For more information see httpocwmiteduhelpfaq-fair-use

16

How small is nano 100 m = 1m

10-9 = 1 nanometer

109 m = 1 million km 100 m = 1m

Images from Eames Power of Ten film removed due to copyrightrestrictions See httpwwwpowersof10com

17

Nanotechnology Definition ldquoHow Super-Cows and Nanotechnology will Make Ice Cream HealthyrdquoldquoHow Super-Cows and Nanotechnology will Make Ice Cream HealthyrdquoldquoHow Super-Cows and Nanotechnology will Make Ice Cream Healthyrdquo

telegraphcouk August 21 2005

In a field somewhere in CountIn a field somewhere in CountIn a field somewhere in County Dy Dy Down Northern Ireland is a herdown Northern Ireland is a herdown Northern Ireland is a herd of 40 superof 40 superof 40 super-cows that could tak-cows that could tak-cows that could take all the poisonous guilt out ofe all the poisonous guilt out ofe all the poisonous guilt out of bingeing on ice cream Unilevbingeing on ice cream Unilevbingeing on ice cream Unilevererer the manufacturer of P the manufacturer of P the manufacturer of Persil and PGersil and PGersil and PG Tips is sponsoring a secret research project bTips is sponsoring a secret research project bTips is sponsoring a secret research project by a leading By a leading By a leading Britishritishritish agriculturagriculturagricultural science institution into how to reduce the leval science institution into how to reduce the leval science institution into how to reduce the levels ofels ofels of satursatursaturated fat in cows milkated fat in cows milkated fat in cows milk It is also experimenting with nanotechnologyIt is also experimenting with nanotechnologyIt is also experimenting with nanotechnology or the science of or the science of or the science of

y things Unilevinininvisibly tinvisibly tinvisibly tiny thingsy things er believUnilevUnilever believer believes that bes that bes that by halving the sizy halving the sizy halving the size ofe ofe of particles that makparticles that makparticles that make up the emulsion - or fatte up the emulsion - or fatte up the emulsion - or fatty oil - that it uses toy oil - that it uses toy oil - that it uses to makmakmake ice cream it could use 90 per cent less of the emulsione ice cream it could use 90 per cent less of the emulsione ice cream it could use 90 per cent less of the emulsion

18

Image copy source unknown All rights reserved This content is excluded from our CreativeCommons license For more information see httpocwmiteduhelpfaq-fair-use

New Optical Properties

Quantum Dots

bulk semiconductor

optically boring

Images of semiconductor material in glass jar and scooper copy sources unknownAll rights reserved This content is excluded from our Creative Commons licenseFor more information see httpocwmiteduhelpfaq-fair-use

optically exciting

quantum dot+

nano scooper

19

Courtesy of Felice Frankel Used with permission

Quantum Confinement

quantum dot

laser

bulk semiconductor

quantum confinement

Physical confinement of excited state leads to unique quantum effect light emitted depends on size

20

hole electron

In order to keep CO2 emissions in check we will need to consume half of our electricity through renewable sources by the year 2050

Need major improvements in efficiency and cost in order to take advantage of these resources

21

copy NREL All rights reserved This content is excluded fromour Creative Commons license For more information seehttpocwmiteduhelpfaq-fair-use

copy unknown All rights reserved This content is excluded

from

our Creative Commons license For more information see

httpocwmiteduhelpfaq-fair-use

Example make solar cells cheaper and more efficient

Understand predict and tailor these key fundamental processes

Four Basic Steps1) Convert a photon into an electron

and a hole 2) Electron and hole ldquothermalizerdquo 3) The electron-hole pair diffuses4) Electron and hole are separated

and taken out

22

Amorphous vs Crystalline Silicon Solar Cells

bull Gap 16-18 eVbull High absorption coefficient device ~1 micrombull Mobilities

bull electron 025 microm in 1 nsbull hole 025 microm in 200 ns

bull Gap 112 eVbull Lower absorption coefficient device ~100 micrombull Mobilities

bull electron 250 microm in 1 nsbull hole 250 microm in 3 ns

23

Images of solar panel and strips copy sources unknown All rights reserved This content is excluded fromour Creative Commons license For more information see httpocwmiteduhelpfaq-fair-use

Diagrams copy sources unknown All rights reserved This content is excluded from our CreativeCommons license For more information see httpocwmiteduhelpfaq-fair-use24

Image is in the public domain

Example Concrete Science

copy source unknown All rights reserved This content is excludedfrom our Creative Commons license For more informationsee httpocwmiteduhelpfaq-fair-use

bull Cement13 accounts13 for13 5-shy‐1013 of13 global13 CO213 Emissions13 bull Cement13 is13 mainly13 made13 of13 synthe=c13 rock13 13 Clinkerbull 413 major13 phases13 Alite13 (Ca3SiO5)13 Belite13 (Ca2SiO4)13 Aluminate13 13 (Ca3Al2O6)13 Ferrite13 (Ca2AlFeO5)

bull Many13 different13 polymorphisms13 not13 fully13 understood

25

Surface Reactivity is Key Problem

sect Alite (C3S) sect 7 polymorphs sect Conslttutes 50-shy‐70 sect Reaclton with water Fast

sect Belite (C2S) sect 3 polymorphs sect Conslttutes 15-shy‐30 sect Reaclton with water Slow

bullWhy HowbullCan we tune the Belite reaction rate

Adapted from Cement Microscopy Halliburton Services Duncan OK

Courtesy Andrew R Barron License CC-BY

26

Itrsquos a quantum world

27

copy Shizuo KambayashiAP All rights reserved This content is excluded from our CreativeCommons license For more information see httpocwmiteduhelpfaq-fair-use

MIT OpenCourseWarehttpocwmitedu

3021J 1021J 10333J 18361J 2200J Introduction to Modelling and SimulationSpring 2012 For information about citing these materials or our Terms of Use visit httpocwmiteduterms

Page 15: 1.021, 3.021, 10.333, 22.00 Introduction to Modeling and ......1 1.021, 3.021, 10.333, 22.00 Introduction to Modeling and Simulation Spring 2012 Part II – Quantum Mechanical Methods

Example Electronic optical magnetic properties

15

Courtesy of Felice Frankel Used with permission

Example Nanotechnology

Nanotechnology Scientist in Nanotechnology created The Spiderman Hulk

Image from Spiderman 2 copy Sony Pictures Image from The Hulk copy Universal Pictures All rights reserved This content is excluded from our Creative Commons license For more information see httpocwmiteduhelpfaq-fair-use

16

How small is nano 100 m = 1m

10-9 = 1 nanometer

109 m = 1 million km 100 m = 1m

Images from Eames Power of Ten film removed due to copyrightrestrictions See httpwwwpowersof10com

17

Nanotechnology Definition ldquoHow Super-Cows and Nanotechnology will Make Ice Cream HealthyrdquoldquoHow Super-Cows and Nanotechnology will Make Ice Cream HealthyrdquoldquoHow Super-Cows and Nanotechnology will Make Ice Cream Healthyrdquo

telegraphcouk August 21 2005

In a field somewhere in CountIn a field somewhere in CountIn a field somewhere in County Dy Dy Down Northern Ireland is a herdown Northern Ireland is a herdown Northern Ireland is a herd of 40 superof 40 superof 40 super-cows that could tak-cows that could tak-cows that could take all the poisonous guilt out ofe all the poisonous guilt out ofe all the poisonous guilt out of bingeing on ice cream Unilevbingeing on ice cream Unilevbingeing on ice cream Unilevererer the manufacturer of P the manufacturer of P the manufacturer of Persil and PGersil and PGersil and PG Tips is sponsoring a secret research project bTips is sponsoring a secret research project bTips is sponsoring a secret research project by a leading By a leading By a leading Britishritishritish agriculturagriculturagricultural science institution into how to reduce the leval science institution into how to reduce the leval science institution into how to reduce the levels ofels ofels of satursatursaturated fat in cows milkated fat in cows milkated fat in cows milk It is also experimenting with nanotechnologyIt is also experimenting with nanotechnologyIt is also experimenting with nanotechnology or the science of or the science of or the science of

y things Unilevinininvisibly tinvisibly tinvisibly tiny thingsy things er believUnilevUnilever believer believes that bes that bes that by halving the sizy halving the sizy halving the size ofe ofe of particles that makparticles that makparticles that make up the emulsion - or fatte up the emulsion - or fatte up the emulsion - or fatty oil - that it uses toy oil - that it uses toy oil - that it uses to makmakmake ice cream it could use 90 per cent less of the emulsione ice cream it could use 90 per cent less of the emulsione ice cream it could use 90 per cent less of the emulsion

18

Image copy source unknown All rights reserved This content is excluded from our CreativeCommons license For more information see httpocwmiteduhelpfaq-fair-use

New Optical Properties

Quantum Dots

bulk semiconductor

optically boring

Images of semiconductor material in glass jar and scooper copy sources unknownAll rights reserved This content is excluded from our Creative Commons licenseFor more information see httpocwmiteduhelpfaq-fair-use

optically exciting

quantum dot+

nano scooper

19

Courtesy of Felice Frankel Used with permission

Quantum Confinement

quantum dot

laser

bulk semiconductor

quantum confinement

Physical confinement of excited state leads to unique quantum effect light emitted depends on size

20

hole electron

In order to keep CO2 emissions in check we will need to consume half of our electricity through renewable sources by the year 2050

Need major improvements in efficiency and cost in order to take advantage of these resources

21

copy NREL All rights reserved This content is excluded fromour Creative Commons license For more information seehttpocwmiteduhelpfaq-fair-use

copy unknown All rights reserved This content is excluded

from

our Creative Commons license For more information see

httpocwmiteduhelpfaq-fair-use

Example make solar cells cheaper and more efficient

Understand predict and tailor these key fundamental processes

Four Basic Steps1) Convert a photon into an electron

and a hole 2) Electron and hole ldquothermalizerdquo 3) The electron-hole pair diffuses4) Electron and hole are separated

and taken out

22

Amorphous vs Crystalline Silicon Solar Cells

bull Gap 16-18 eVbull High absorption coefficient device ~1 micrombull Mobilities

bull electron 025 microm in 1 nsbull hole 025 microm in 200 ns

bull Gap 112 eVbull Lower absorption coefficient device ~100 micrombull Mobilities

bull electron 250 microm in 1 nsbull hole 250 microm in 3 ns

23

Images of solar panel and strips copy sources unknown All rights reserved This content is excluded fromour Creative Commons license For more information see httpocwmiteduhelpfaq-fair-use

Diagrams copy sources unknown All rights reserved This content is excluded from our CreativeCommons license For more information see httpocwmiteduhelpfaq-fair-use24

Image is in the public domain

Example Concrete Science

copy source unknown All rights reserved This content is excludedfrom our Creative Commons license For more informationsee httpocwmiteduhelpfaq-fair-use

bull Cement13 accounts13 for13 5-shy‐1013 of13 global13 CO213 Emissions13 bull Cement13 is13 mainly13 made13 of13 synthe=c13 rock13 13 Clinkerbull 413 major13 phases13 Alite13 (Ca3SiO5)13 Belite13 (Ca2SiO4)13 Aluminate13 13 (Ca3Al2O6)13 Ferrite13 (Ca2AlFeO5)

bull Many13 different13 polymorphisms13 not13 fully13 understood

25

Surface Reactivity is Key Problem

sect Alite (C3S) sect 7 polymorphs sect Conslttutes 50-shy‐70 sect Reaclton with water Fast

sect Belite (C2S) sect 3 polymorphs sect Conslttutes 15-shy‐30 sect Reaclton with water Slow

bullWhy HowbullCan we tune the Belite reaction rate

Adapted from Cement Microscopy Halliburton Services Duncan OK

Courtesy Andrew R Barron License CC-BY

26

Itrsquos a quantum world

27

copy Shizuo KambayashiAP All rights reserved This content is excluded from our CreativeCommons license For more information see httpocwmiteduhelpfaq-fair-use

MIT OpenCourseWarehttpocwmitedu

3021J 1021J 10333J 18361J 2200J Introduction to Modelling and SimulationSpring 2012 For information about citing these materials or our Terms of Use visit httpocwmiteduterms

Page 16: 1.021, 3.021, 10.333, 22.00 Introduction to Modeling and ......1 1.021, 3.021, 10.333, 22.00 Introduction to Modeling and Simulation Spring 2012 Part II – Quantum Mechanical Methods

Example Nanotechnology

Nanotechnology Scientist in Nanotechnology created The Spiderman Hulk

Image from Spiderman 2 copy Sony Pictures Image from The Hulk copy Universal Pictures All rights reserved This content is excluded from our Creative Commons license For more information see httpocwmiteduhelpfaq-fair-use

16

How small is nano 100 m = 1m

10-9 = 1 nanometer

109 m = 1 million km 100 m = 1m

Images from Eames Power of Ten film removed due to copyrightrestrictions See httpwwwpowersof10com

17

Nanotechnology Definition ldquoHow Super-Cows and Nanotechnology will Make Ice Cream HealthyrdquoldquoHow Super-Cows and Nanotechnology will Make Ice Cream HealthyrdquoldquoHow Super-Cows and Nanotechnology will Make Ice Cream Healthyrdquo

telegraphcouk August 21 2005

In a field somewhere in CountIn a field somewhere in CountIn a field somewhere in County Dy Dy Down Northern Ireland is a herdown Northern Ireland is a herdown Northern Ireland is a herd of 40 superof 40 superof 40 super-cows that could tak-cows that could tak-cows that could take all the poisonous guilt out ofe all the poisonous guilt out ofe all the poisonous guilt out of bingeing on ice cream Unilevbingeing on ice cream Unilevbingeing on ice cream Unilevererer the manufacturer of P the manufacturer of P the manufacturer of Persil and PGersil and PGersil and PG Tips is sponsoring a secret research project bTips is sponsoring a secret research project bTips is sponsoring a secret research project by a leading By a leading By a leading Britishritishritish agriculturagriculturagricultural science institution into how to reduce the leval science institution into how to reduce the leval science institution into how to reduce the levels ofels ofels of satursatursaturated fat in cows milkated fat in cows milkated fat in cows milk It is also experimenting with nanotechnologyIt is also experimenting with nanotechnologyIt is also experimenting with nanotechnology or the science of or the science of or the science of

y things Unilevinininvisibly tinvisibly tinvisibly tiny thingsy things er believUnilevUnilever believer believes that bes that bes that by halving the sizy halving the sizy halving the size ofe ofe of particles that makparticles that makparticles that make up the emulsion - or fatte up the emulsion - or fatte up the emulsion - or fatty oil - that it uses toy oil - that it uses toy oil - that it uses to makmakmake ice cream it could use 90 per cent less of the emulsione ice cream it could use 90 per cent less of the emulsione ice cream it could use 90 per cent less of the emulsion

18

Image copy source unknown All rights reserved This content is excluded from our CreativeCommons license For more information see httpocwmiteduhelpfaq-fair-use

New Optical Properties

Quantum Dots

bulk semiconductor

optically boring

Images of semiconductor material in glass jar and scooper copy sources unknownAll rights reserved This content is excluded from our Creative Commons licenseFor more information see httpocwmiteduhelpfaq-fair-use

optically exciting

quantum dot+

nano scooper

19

Courtesy of Felice Frankel Used with permission

Quantum Confinement

quantum dot

laser

bulk semiconductor

quantum confinement

Physical confinement of excited state leads to unique quantum effect light emitted depends on size

20

hole electron

In order to keep CO2 emissions in check we will need to consume half of our electricity through renewable sources by the year 2050

Need major improvements in efficiency and cost in order to take advantage of these resources

21

copy NREL All rights reserved This content is excluded fromour Creative Commons license For more information seehttpocwmiteduhelpfaq-fair-use

copy unknown All rights reserved This content is excluded

from

our Creative Commons license For more information see

httpocwmiteduhelpfaq-fair-use

Example make solar cells cheaper and more efficient

Understand predict and tailor these key fundamental processes

Four Basic Steps1) Convert a photon into an electron

and a hole 2) Electron and hole ldquothermalizerdquo 3) The electron-hole pair diffuses4) Electron and hole are separated

and taken out

22

Amorphous vs Crystalline Silicon Solar Cells

bull Gap 16-18 eVbull High absorption coefficient device ~1 micrombull Mobilities

bull electron 025 microm in 1 nsbull hole 025 microm in 200 ns

bull Gap 112 eVbull Lower absorption coefficient device ~100 micrombull Mobilities

bull electron 250 microm in 1 nsbull hole 250 microm in 3 ns

23

Images of solar panel and strips copy sources unknown All rights reserved This content is excluded fromour Creative Commons license For more information see httpocwmiteduhelpfaq-fair-use

Diagrams copy sources unknown All rights reserved This content is excluded from our CreativeCommons license For more information see httpocwmiteduhelpfaq-fair-use24

Image is in the public domain

Example Concrete Science

copy source unknown All rights reserved This content is excludedfrom our Creative Commons license For more informationsee httpocwmiteduhelpfaq-fair-use

bull Cement13 accounts13 for13 5-shy‐1013 of13 global13 CO213 Emissions13 bull Cement13 is13 mainly13 made13 of13 synthe=c13 rock13 13 Clinkerbull 413 major13 phases13 Alite13 (Ca3SiO5)13 Belite13 (Ca2SiO4)13 Aluminate13 13 (Ca3Al2O6)13 Ferrite13 (Ca2AlFeO5)

bull Many13 different13 polymorphisms13 not13 fully13 understood

25

Surface Reactivity is Key Problem

sect Alite (C3S) sect 7 polymorphs sect Conslttutes 50-shy‐70 sect Reaclton with water Fast

sect Belite (C2S) sect 3 polymorphs sect Conslttutes 15-shy‐30 sect Reaclton with water Slow

bullWhy HowbullCan we tune the Belite reaction rate

Adapted from Cement Microscopy Halliburton Services Duncan OK

Courtesy Andrew R Barron License CC-BY

26

Itrsquos a quantum world

27

copy Shizuo KambayashiAP All rights reserved This content is excluded from our CreativeCommons license For more information see httpocwmiteduhelpfaq-fair-use

MIT OpenCourseWarehttpocwmitedu

3021J 1021J 10333J 18361J 2200J Introduction to Modelling and SimulationSpring 2012 For information about citing these materials or our Terms of Use visit httpocwmiteduterms

Page 17: 1.021, 3.021, 10.333, 22.00 Introduction to Modeling and ......1 1.021, 3.021, 10.333, 22.00 Introduction to Modeling and Simulation Spring 2012 Part II – Quantum Mechanical Methods

How small is nano 100 m = 1m

10-9 = 1 nanometer

109 m = 1 million km 100 m = 1m

Images from Eames Power of Ten film removed due to copyrightrestrictions See httpwwwpowersof10com

17

Nanotechnology Definition ldquoHow Super-Cows and Nanotechnology will Make Ice Cream HealthyrdquoldquoHow Super-Cows and Nanotechnology will Make Ice Cream HealthyrdquoldquoHow Super-Cows and Nanotechnology will Make Ice Cream Healthyrdquo

telegraphcouk August 21 2005

In a field somewhere in CountIn a field somewhere in CountIn a field somewhere in County Dy Dy Down Northern Ireland is a herdown Northern Ireland is a herdown Northern Ireland is a herd of 40 superof 40 superof 40 super-cows that could tak-cows that could tak-cows that could take all the poisonous guilt out ofe all the poisonous guilt out ofe all the poisonous guilt out of bingeing on ice cream Unilevbingeing on ice cream Unilevbingeing on ice cream Unilevererer the manufacturer of P the manufacturer of P the manufacturer of Persil and PGersil and PGersil and PG Tips is sponsoring a secret research project bTips is sponsoring a secret research project bTips is sponsoring a secret research project by a leading By a leading By a leading Britishritishritish agriculturagriculturagricultural science institution into how to reduce the leval science institution into how to reduce the leval science institution into how to reduce the levels ofels ofels of satursatursaturated fat in cows milkated fat in cows milkated fat in cows milk It is also experimenting with nanotechnologyIt is also experimenting with nanotechnologyIt is also experimenting with nanotechnology or the science of or the science of or the science of

y things Unilevinininvisibly tinvisibly tinvisibly tiny thingsy things er believUnilevUnilever believer believes that bes that bes that by halving the sizy halving the sizy halving the size ofe ofe of particles that makparticles that makparticles that make up the emulsion - or fatte up the emulsion - or fatte up the emulsion - or fatty oil - that it uses toy oil - that it uses toy oil - that it uses to makmakmake ice cream it could use 90 per cent less of the emulsione ice cream it could use 90 per cent less of the emulsione ice cream it could use 90 per cent less of the emulsion

18

Image copy source unknown All rights reserved This content is excluded from our CreativeCommons license For more information see httpocwmiteduhelpfaq-fair-use

New Optical Properties

Quantum Dots

bulk semiconductor

optically boring

Images of semiconductor material in glass jar and scooper copy sources unknownAll rights reserved This content is excluded from our Creative Commons licenseFor more information see httpocwmiteduhelpfaq-fair-use

optically exciting

quantum dot+

nano scooper

19

Courtesy of Felice Frankel Used with permission

Quantum Confinement

quantum dot

laser

bulk semiconductor

quantum confinement

Physical confinement of excited state leads to unique quantum effect light emitted depends on size

20

hole electron

In order to keep CO2 emissions in check we will need to consume half of our electricity through renewable sources by the year 2050

Need major improvements in efficiency and cost in order to take advantage of these resources

21

copy NREL All rights reserved This content is excluded fromour Creative Commons license For more information seehttpocwmiteduhelpfaq-fair-use

copy unknown All rights reserved This content is excluded

from

our Creative Commons license For more information see

httpocwmiteduhelpfaq-fair-use

Example make solar cells cheaper and more efficient

Understand predict and tailor these key fundamental processes

Four Basic Steps1) Convert a photon into an electron

and a hole 2) Electron and hole ldquothermalizerdquo 3) The electron-hole pair diffuses4) Electron and hole are separated

and taken out

22

Amorphous vs Crystalline Silicon Solar Cells

bull Gap 16-18 eVbull High absorption coefficient device ~1 micrombull Mobilities

bull electron 025 microm in 1 nsbull hole 025 microm in 200 ns

bull Gap 112 eVbull Lower absorption coefficient device ~100 micrombull Mobilities

bull electron 250 microm in 1 nsbull hole 250 microm in 3 ns

23

Images of solar panel and strips copy sources unknown All rights reserved This content is excluded fromour Creative Commons license For more information see httpocwmiteduhelpfaq-fair-use

Diagrams copy sources unknown All rights reserved This content is excluded from our CreativeCommons license For more information see httpocwmiteduhelpfaq-fair-use24

Image is in the public domain

Example Concrete Science

copy source unknown All rights reserved This content is excludedfrom our Creative Commons license For more informationsee httpocwmiteduhelpfaq-fair-use

bull Cement13 accounts13 for13 5-shy‐1013 of13 global13 CO213 Emissions13 bull Cement13 is13 mainly13 made13 of13 synthe=c13 rock13 13 Clinkerbull 413 major13 phases13 Alite13 (Ca3SiO5)13 Belite13 (Ca2SiO4)13 Aluminate13 13 (Ca3Al2O6)13 Ferrite13 (Ca2AlFeO5)

bull Many13 different13 polymorphisms13 not13 fully13 understood

25

Surface Reactivity is Key Problem

sect Alite (C3S) sect 7 polymorphs sect Conslttutes 50-shy‐70 sect Reaclton with water Fast

sect Belite (C2S) sect 3 polymorphs sect Conslttutes 15-shy‐30 sect Reaclton with water Slow

bullWhy HowbullCan we tune the Belite reaction rate

Adapted from Cement Microscopy Halliburton Services Duncan OK

Courtesy Andrew R Barron License CC-BY

26

Itrsquos a quantum world

27

copy Shizuo KambayashiAP All rights reserved This content is excluded from our CreativeCommons license For more information see httpocwmiteduhelpfaq-fair-use

MIT OpenCourseWarehttpocwmitedu

3021J 1021J 10333J 18361J 2200J Introduction to Modelling and SimulationSpring 2012 For information about citing these materials or our Terms of Use visit httpocwmiteduterms

Page 18: 1.021, 3.021, 10.333, 22.00 Introduction to Modeling and ......1 1.021, 3.021, 10.333, 22.00 Introduction to Modeling and Simulation Spring 2012 Part II – Quantum Mechanical Methods

Nanotechnology Definition ldquoHow Super-Cows and Nanotechnology will Make Ice Cream HealthyrdquoldquoHow Super-Cows and Nanotechnology will Make Ice Cream HealthyrdquoldquoHow Super-Cows and Nanotechnology will Make Ice Cream Healthyrdquo

telegraphcouk August 21 2005

In a field somewhere in CountIn a field somewhere in CountIn a field somewhere in County Dy Dy Down Northern Ireland is a herdown Northern Ireland is a herdown Northern Ireland is a herd of 40 superof 40 superof 40 super-cows that could tak-cows that could tak-cows that could take all the poisonous guilt out ofe all the poisonous guilt out ofe all the poisonous guilt out of bingeing on ice cream Unilevbingeing on ice cream Unilevbingeing on ice cream Unilevererer the manufacturer of P the manufacturer of P the manufacturer of Persil and PGersil and PGersil and PG Tips is sponsoring a secret research project bTips is sponsoring a secret research project bTips is sponsoring a secret research project by a leading By a leading By a leading Britishritishritish agriculturagriculturagricultural science institution into how to reduce the leval science institution into how to reduce the leval science institution into how to reduce the levels ofels ofels of satursatursaturated fat in cows milkated fat in cows milkated fat in cows milk It is also experimenting with nanotechnologyIt is also experimenting with nanotechnologyIt is also experimenting with nanotechnology or the science of or the science of or the science of

y things Unilevinininvisibly tinvisibly tinvisibly tiny thingsy things er believUnilevUnilever believer believes that bes that bes that by halving the sizy halving the sizy halving the size ofe ofe of particles that makparticles that makparticles that make up the emulsion - or fatte up the emulsion - or fatte up the emulsion - or fatty oil - that it uses toy oil - that it uses toy oil - that it uses to makmakmake ice cream it could use 90 per cent less of the emulsione ice cream it could use 90 per cent less of the emulsione ice cream it could use 90 per cent less of the emulsion

18

Image copy source unknown All rights reserved This content is excluded from our CreativeCommons license For more information see httpocwmiteduhelpfaq-fair-use

New Optical Properties

Quantum Dots

bulk semiconductor

optically boring

Images of semiconductor material in glass jar and scooper copy sources unknownAll rights reserved This content is excluded from our Creative Commons licenseFor more information see httpocwmiteduhelpfaq-fair-use

optically exciting

quantum dot+

nano scooper

19

Courtesy of Felice Frankel Used with permission

Quantum Confinement

quantum dot

laser

bulk semiconductor

quantum confinement

Physical confinement of excited state leads to unique quantum effect light emitted depends on size

20

hole electron

In order to keep CO2 emissions in check we will need to consume half of our electricity through renewable sources by the year 2050

Need major improvements in efficiency and cost in order to take advantage of these resources

21

copy NREL All rights reserved This content is excluded fromour Creative Commons license For more information seehttpocwmiteduhelpfaq-fair-use

copy unknown All rights reserved This content is excluded

from

our Creative Commons license For more information see

httpocwmiteduhelpfaq-fair-use

Example make solar cells cheaper and more efficient

Understand predict and tailor these key fundamental processes

Four Basic Steps1) Convert a photon into an electron

and a hole 2) Electron and hole ldquothermalizerdquo 3) The electron-hole pair diffuses4) Electron and hole are separated

and taken out

22

Amorphous vs Crystalline Silicon Solar Cells

bull Gap 16-18 eVbull High absorption coefficient device ~1 micrombull Mobilities

bull electron 025 microm in 1 nsbull hole 025 microm in 200 ns

bull Gap 112 eVbull Lower absorption coefficient device ~100 micrombull Mobilities

bull electron 250 microm in 1 nsbull hole 250 microm in 3 ns

23

Images of solar panel and strips copy sources unknown All rights reserved This content is excluded fromour Creative Commons license For more information see httpocwmiteduhelpfaq-fair-use

Diagrams copy sources unknown All rights reserved This content is excluded from our CreativeCommons license For more information see httpocwmiteduhelpfaq-fair-use24

Image is in the public domain

Example Concrete Science

copy source unknown All rights reserved This content is excludedfrom our Creative Commons license For more informationsee httpocwmiteduhelpfaq-fair-use

bull Cement13 accounts13 for13 5-shy‐1013 of13 global13 CO213 Emissions13 bull Cement13 is13 mainly13 made13 of13 synthe=c13 rock13 13 Clinkerbull 413 major13 phases13 Alite13 (Ca3SiO5)13 Belite13 (Ca2SiO4)13 Aluminate13 13 (Ca3Al2O6)13 Ferrite13 (Ca2AlFeO5)

bull Many13 different13 polymorphisms13 not13 fully13 understood

25

Surface Reactivity is Key Problem

sect Alite (C3S) sect 7 polymorphs sect Conslttutes 50-shy‐70 sect Reaclton with water Fast

sect Belite (C2S) sect 3 polymorphs sect Conslttutes 15-shy‐30 sect Reaclton with water Slow

bullWhy HowbullCan we tune the Belite reaction rate

Adapted from Cement Microscopy Halliburton Services Duncan OK

Courtesy Andrew R Barron License CC-BY

26

Itrsquos a quantum world

27

copy Shizuo KambayashiAP All rights reserved This content is excluded from our CreativeCommons license For more information see httpocwmiteduhelpfaq-fair-use

MIT OpenCourseWarehttpocwmitedu

3021J 1021J 10333J 18361J 2200J Introduction to Modelling and SimulationSpring 2012 For information about citing these materials or our Terms of Use visit httpocwmiteduterms

Page 19: 1.021, 3.021, 10.333, 22.00 Introduction to Modeling and ......1 1.021, 3.021, 10.333, 22.00 Introduction to Modeling and Simulation Spring 2012 Part II – Quantum Mechanical Methods

New Optical Properties

Quantum Dots

bulk semiconductor

optically boring

Images of semiconductor material in glass jar and scooper copy sources unknownAll rights reserved This content is excluded from our Creative Commons licenseFor more information see httpocwmiteduhelpfaq-fair-use

optically exciting

quantum dot+

nano scooper

19

Courtesy of Felice Frankel Used with permission

Quantum Confinement

quantum dot

laser

bulk semiconductor

quantum confinement

Physical confinement of excited state leads to unique quantum effect light emitted depends on size

20

hole electron

In order to keep CO2 emissions in check we will need to consume half of our electricity through renewable sources by the year 2050

Need major improvements in efficiency and cost in order to take advantage of these resources

21

copy NREL All rights reserved This content is excluded fromour Creative Commons license For more information seehttpocwmiteduhelpfaq-fair-use

copy unknown All rights reserved This content is excluded

from

our Creative Commons license For more information see

httpocwmiteduhelpfaq-fair-use

Example make solar cells cheaper and more efficient

Understand predict and tailor these key fundamental processes

Four Basic Steps1) Convert a photon into an electron

and a hole 2) Electron and hole ldquothermalizerdquo 3) The electron-hole pair diffuses4) Electron and hole are separated

and taken out

22

Amorphous vs Crystalline Silicon Solar Cells

bull Gap 16-18 eVbull High absorption coefficient device ~1 micrombull Mobilities

bull electron 025 microm in 1 nsbull hole 025 microm in 200 ns

bull Gap 112 eVbull Lower absorption coefficient device ~100 micrombull Mobilities

bull electron 250 microm in 1 nsbull hole 250 microm in 3 ns

23

Images of solar panel and strips copy sources unknown All rights reserved This content is excluded fromour Creative Commons license For more information see httpocwmiteduhelpfaq-fair-use

Diagrams copy sources unknown All rights reserved This content is excluded from our CreativeCommons license For more information see httpocwmiteduhelpfaq-fair-use24

Image is in the public domain

Example Concrete Science

copy source unknown All rights reserved This content is excludedfrom our Creative Commons license For more informationsee httpocwmiteduhelpfaq-fair-use

bull Cement13 accounts13 for13 5-shy‐1013 of13 global13 CO213 Emissions13 bull Cement13 is13 mainly13 made13 of13 synthe=c13 rock13 13 Clinkerbull 413 major13 phases13 Alite13 (Ca3SiO5)13 Belite13 (Ca2SiO4)13 Aluminate13 13 (Ca3Al2O6)13 Ferrite13 (Ca2AlFeO5)

bull Many13 different13 polymorphisms13 not13 fully13 understood

25

Surface Reactivity is Key Problem

sect Alite (C3S) sect 7 polymorphs sect Conslttutes 50-shy‐70 sect Reaclton with water Fast

sect Belite (C2S) sect 3 polymorphs sect Conslttutes 15-shy‐30 sect Reaclton with water Slow

bullWhy HowbullCan we tune the Belite reaction rate

Adapted from Cement Microscopy Halliburton Services Duncan OK

Courtesy Andrew R Barron License CC-BY

26

Itrsquos a quantum world

27

copy Shizuo KambayashiAP All rights reserved This content is excluded from our CreativeCommons license For more information see httpocwmiteduhelpfaq-fair-use

MIT OpenCourseWarehttpocwmitedu

3021J 1021J 10333J 18361J 2200J Introduction to Modelling and SimulationSpring 2012 For information about citing these materials or our Terms of Use visit httpocwmiteduterms

Page 20: 1.021, 3.021, 10.333, 22.00 Introduction to Modeling and ......1 1.021, 3.021, 10.333, 22.00 Introduction to Modeling and Simulation Spring 2012 Part II – Quantum Mechanical Methods

Quantum Confinement

quantum dot

laser

bulk semiconductor

quantum confinement

Physical confinement of excited state leads to unique quantum effect light emitted depends on size

20

hole electron

In order to keep CO2 emissions in check we will need to consume half of our electricity through renewable sources by the year 2050

Need major improvements in efficiency and cost in order to take advantage of these resources

21

copy NREL All rights reserved This content is excluded fromour Creative Commons license For more information seehttpocwmiteduhelpfaq-fair-use

copy unknown All rights reserved This content is excluded

from

our Creative Commons license For more information see

httpocwmiteduhelpfaq-fair-use

Example make solar cells cheaper and more efficient

Understand predict and tailor these key fundamental processes

Four Basic Steps1) Convert a photon into an electron

and a hole 2) Electron and hole ldquothermalizerdquo 3) The electron-hole pair diffuses4) Electron and hole are separated

and taken out

22

Amorphous vs Crystalline Silicon Solar Cells

bull Gap 16-18 eVbull High absorption coefficient device ~1 micrombull Mobilities

bull electron 025 microm in 1 nsbull hole 025 microm in 200 ns

bull Gap 112 eVbull Lower absorption coefficient device ~100 micrombull Mobilities

bull electron 250 microm in 1 nsbull hole 250 microm in 3 ns

23

Images of solar panel and strips copy sources unknown All rights reserved This content is excluded fromour Creative Commons license For more information see httpocwmiteduhelpfaq-fair-use

Diagrams copy sources unknown All rights reserved This content is excluded from our CreativeCommons license For more information see httpocwmiteduhelpfaq-fair-use24

Image is in the public domain

Example Concrete Science

copy source unknown All rights reserved This content is excludedfrom our Creative Commons license For more informationsee httpocwmiteduhelpfaq-fair-use

bull Cement13 accounts13 for13 5-shy‐1013 of13 global13 CO213 Emissions13 bull Cement13 is13 mainly13 made13 of13 synthe=c13 rock13 13 Clinkerbull 413 major13 phases13 Alite13 (Ca3SiO5)13 Belite13 (Ca2SiO4)13 Aluminate13 13 (Ca3Al2O6)13 Ferrite13 (Ca2AlFeO5)

bull Many13 different13 polymorphisms13 not13 fully13 understood

25

Surface Reactivity is Key Problem

sect Alite (C3S) sect 7 polymorphs sect Conslttutes 50-shy‐70 sect Reaclton with water Fast

sect Belite (C2S) sect 3 polymorphs sect Conslttutes 15-shy‐30 sect Reaclton with water Slow

bullWhy HowbullCan we tune the Belite reaction rate

Adapted from Cement Microscopy Halliburton Services Duncan OK

Courtesy Andrew R Barron License CC-BY

26

Itrsquos a quantum world

27

copy Shizuo KambayashiAP All rights reserved This content is excluded from our CreativeCommons license For more information see httpocwmiteduhelpfaq-fair-use

MIT OpenCourseWarehttpocwmitedu

3021J 1021J 10333J 18361J 2200J Introduction to Modelling and SimulationSpring 2012 For information about citing these materials or our Terms of Use visit httpocwmiteduterms

Page 21: 1.021, 3.021, 10.333, 22.00 Introduction to Modeling and ......1 1.021, 3.021, 10.333, 22.00 Introduction to Modeling and Simulation Spring 2012 Part II – Quantum Mechanical Methods

In order to keep CO2 emissions in check we will need to consume half of our electricity through renewable sources by the year 2050

Need major improvements in efficiency and cost in order to take advantage of these resources

21

copy NREL All rights reserved This content is excluded fromour Creative Commons license For more information seehttpocwmiteduhelpfaq-fair-use

copy unknown All rights reserved This content is excluded

from

our Creative Commons license For more information see

httpocwmiteduhelpfaq-fair-use

Example make solar cells cheaper and more efficient

Understand predict and tailor these key fundamental processes

Four Basic Steps1) Convert a photon into an electron

and a hole 2) Electron and hole ldquothermalizerdquo 3) The electron-hole pair diffuses4) Electron and hole are separated

and taken out

22

Amorphous vs Crystalline Silicon Solar Cells

bull Gap 16-18 eVbull High absorption coefficient device ~1 micrombull Mobilities

bull electron 025 microm in 1 nsbull hole 025 microm in 200 ns

bull Gap 112 eVbull Lower absorption coefficient device ~100 micrombull Mobilities

bull electron 250 microm in 1 nsbull hole 250 microm in 3 ns

23

Images of solar panel and strips copy sources unknown All rights reserved This content is excluded fromour Creative Commons license For more information see httpocwmiteduhelpfaq-fair-use

Diagrams copy sources unknown All rights reserved This content is excluded from our CreativeCommons license For more information see httpocwmiteduhelpfaq-fair-use24

Image is in the public domain

Example Concrete Science

copy source unknown All rights reserved This content is excludedfrom our Creative Commons license For more informationsee httpocwmiteduhelpfaq-fair-use

bull Cement13 accounts13 for13 5-shy‐1013 of13 global13 CO213 Emissions13 bull Cement13 is13 mainly13 made13 of13 synthe=c13 rock13 13 Clinkerbull 413 major13 phases13 Alite13 (Ca3SiO5)13 Belite13 (Ca2SiO4)13 Aluminate13 13 (Ca3Al2O6)13 Ferrite13 (Ca2AlFeO5)

bull Many13 different13 polymorphisms13 not13 fully13 understood

25

Surface Reactivity is Key Problem

sect Alite (C3S) sect 7 polymorphs sect Conslttutes 50-shy‐70 sect Reaclton with water Fast

sect Belite (C2S) sect 3 polymorphs sect Conslttutes 15-shy‐30 sect Reaclton with water Slow

bullWhy HowbullCan we tune the Belite reaction rate

Adapted from Cement Microscopy Halliburton Services Duncan OK

Courtesy Andrew R Barron License CC-BY

26

Itrsquos a quantum world

27

copy Shizuo KambayashiAP All rights reserved This content is excluded from our CreativeCommons license For more information see httpocwmiteduhelpfaq-fair-use

MIT OpenCourseWarehttpocwmitedu

3021J 1021J 10333J 18361J 2200J Introduction to Modelling and SimulationSpring 2012 For information about citing these materials or our Terms of Use visit httpocwmiteduterms

Page 22: 1.021, 3.021, 10.333, 22.00 Introduction to Modeling and ......1 1.021, 3.021, 10.333, 22.00 Introduction to Modeling and Simulation Spring 2012 Part II – Quantum Mechanical Methods

Example make solar cells cheaper and more efficient

Understand predict and tailor these key fundamental processes

Four Basic Steps1) Convert a photon into an electron

and a hole 2) Electron and hole ldquothermalizerdquo 3) The electron-hole pair diffuses4) Electron and hole are separated

and taken out

22

Amorphous vs Crystalline Silicon Solar Cells

bull Gap 16-18 eVbull High absorption coefficient device ~1 micrombull Mobilities

bull electron 025 microm in 1 nsbull hole 025 microm in 200 ns

bull Gap 112 eVbull Lower absorption coefficient device ~100 micrombull Mobilities

bull electron 250 microm in 1 nsbull hole 250 microm in 3 ns

23

Images of solar panel and strips copy sources unknown All rights reserved This content is excluded fromour Creative Commons license For more information see httpocwmiteduhelpfaq-fair-use

Diagrams copy sources unknown All rights reserved This content is excluded from our CreativeCommons license For more information see httpocwmiteduhelpfaq-fair-use24

Image is in the public domain

Example Concrete Science

copy source unknown All rights reserved This content is excludedfrom our Creative Commons license For more informationsee httpocwmiteduhelpfaq-fair-use

bull Cement13 accounts13 for13 5-shy‐1013 of13 global13 CO213 Emissions13 bull Cement13 is13 mainly13 made13 of13 synthe=c13 rock13 13 Clinkerbull 413 major13 phases13 Alite13 (Ca3SiO5)13 Belite13 (Ca2SiO4)13 Aluminate13 13 (Ca3Al2O6)13 Ferrite13 (Ca2AlFeO5)

bull Many13 different13 polymorphisms13 not13 fully13 understood

25

Surface Reactivity is Key Problem

sect Alite (C3S) sect 7 polymorphs sect Conslttutes 50-shy‐70 sect Reaclton with water Fast

sect Belite (C2S) sect 3 polymorphs sect Conslttutes 15-shy‐30 sect Reaclton with water Slow

bullWhy HowbullCan we tune the Belite reaction rate

Adapted from Cement Microscopy Halliburton Services Duncan OK

Courtesy Andrew R Barron License CC-BY

26

Itrsquos a quantum world

27

copy Shizuo KambayashiAP All rights reserved This content is excluded from our CreativeCommons license For more information see httpocwmiteduhelpfaq-fair-use

MIT OpenCourseWarehttpocwmitedu

3021J 1021J 10333J 18361J 2200J Introduction to Modelling and SimulationSpring 2012 For information about citing these materials or our Terms of Use visit httpocwmiteduterms

Page 23: 1.021, 3.021, 10.333, 22.00 Introduction to Modeling and ......1 1.021, 3.021, 10.333, 22.00 Introduction to Modeling and Simulation Spring 2012 Part II – Quantum Mechanical Methods

Amorphous vs Crystalline Silicon Solar Cells

bull Gap 16-18 eVbull High absorption coefficient device ~1 micrombull Mobilities

bull electron 025 microm in 1 nsbull hole 025 microm in 200 ns

bull Gap 112 eVbull Lower absorption coefficient device ~100 micrombull Mobilities

bull electron 250 microm in 1 nsbull hole 250 microm in 3 ns

23

Images of solar panel and strips copy sources unknown All rights reserved This content is excluded fromour Creative Commons license For more information see httpocwmiteduhelpfaq-fair-use

Diagrams copy sources unknown All rights reserved This content is excluded from our CreativeCommons license For more information see httpocwmiteduhelpfaq-fair-use24

Image is in the public domain

Example Concrete Science

copy source unknown All rights reserved This content is excludedfrom our Creative Commons license For more informationsee httpocwmiteduhelpfaq-fair-use

bull Cement13 accounts13 for13 5-shy‐1013 of13 global13 CO213 Emissions13 bull Cement13 is13 mainly13 made13 of13 synthe=c13 rock13 13 Clinkerbull 413 major13 phases13 Alite13 (Ca3SiO5)13 Belite13 (Ca2SiO4)13 Aluminate13 13 (Ca3Al2O6)13 Ferrite13 (Ca2AlFeO5)

bull Many13 different13 polymorphisms13 not13 fully13 understood

25

Surface Reactivity is Key Problem

sect Alite (C3S) sect 7 polymorphs sect Conslttutes 50-shy‐70 sect Reaclton with water Fast

sect Belite (C2S) sect 3 polymorphs sect Conslttutes 15-shy‐30 sect Reaclton with water Slow

bullWhy HowbullCan we tune the Belite reaction rate

Adapted from Cement Microscopy Halliburton Services Duncan OK

Courtesy Andrew R Barron License CC-BY

26

Itrsquos a quantum world

27

copy Shizuo KambayashiAP All rights reserved This content is excluded from our CreativeCommons license For more information see httpocwmiteduhelpfaq-fair-use

MIT OpenCourseWarehttpocwmitedu

3021J 1021J 10333J 18361J 2200J Introduction to Modelling and SimulationSpring 2012 For information about citing these materials or our Terms of Use visit httpocwmiteduterms

Page 24: 1.021, 3.021, 10.333, 22.00 Introduction to Modeling and ......1 1.021, 3.021, 10.333, 22.00 Introduction to Modeling and Simulation Spring 2012 Part II – Quantum Mechanical Methods

Diagrams copy sources unknown All rights reserved This content is excluded from our CreativeCommons license For more information see httpocwmiteduhelpfaq-fair-use24

Image is in the public domain

Example Concrete Science

copy source unknown All rights reserved This content is excludedfrom our Creative Commons license For more informationsee httpocwmiteduhelpfaq-fair-use

bull Cement13 accounts13 for13 5-shy‐1013 of13 global13 CO213 Emissions13 bull Cement13 is13 mainly13 made13 of13 synthe=c13 rock13 13 Clinkerbull 413 major13 phases13 Alite13 (Ca3SiO5)13 Belite13 (Ca2SiO4)13 Aluminate13 13 (Ca3Al2O6)13 Ferrite13 (Ca2AlFeO5)

bull Many13 different13 polymorphisms13 not13 fully13 understood

25

Surface Reactivity is Key Problem

sect Alite (C3S) sect 7 polymorphs sect Conslttutes 50-shy‐70 sect Reaclton with water Fast

sect Belite (C2S) sect 3 polymorphs sect Conslttutes 15-shy‐30 sect Reaclton with water Slow

bullWhy HowbullCan we tune the Belite reaction rate

Adapted from Cement Microscopy Halliburton Services Duncan OK

Courtesy Andrew R Barron License CC-BY

26

Itrsquos a quantum world

27

copy Shizuo KambayashiAP All rights reserved This content is excluded from our CreativeCommons license For more information see httpocwmiteduhelpfaq-fair-use

MIT OpenCourseWarehttpocwmitedu

3021J 1021J 10333J 18361J 2200J Introduction to Modelling and SimulationSpring 2012 For information about citing these materials or our Terms of Use visit httpocwmiteduterms

Page 25: 1.021, 3.021, 10.333, 22.00 Introduction to Modeling and ......1 1.021, 3.021, 10.333, 22.00 Introduction to Modeling and Simulation Spring 2012 Part II – Quantum Mechanical Methods

Example Concrete Science

copy source unknown All rights reserved This content is excludedfrom our Creative Commons license For more informationsee httpocwmiteduhelpfaq-fair-use

bull Cement13 accounts13 for13 5-shy‐1013 of13 global13 CO213 Emissions13 bull Cement13 is13 mainly13 made13 of13 synthe=c13 rock13 13 Clinkerbull 413 major13 phases13 Alite13 (Ca3SiO5)13 Belite13 (Ca2SiO4)13 Aluminate13 13 (Ca3Al2O6)13 Ferrite13 (Ca2AlFeO5)

bull Many13 different13 polymorphisms13 not13 fully13 understood

25

Surface Reactivity is Key Problem

sect Alite (C3S) sect 7 polymorphs sect Conslttutes 50-shy‐70 sect Reaclton with water Fast

sect Belite (C2S) sect 3 polymorphs sect Conslttutes 15-shy‐30 sect Reaclton with water Slow

bullWhy HowbullCan we tune the Belite reaction rate

Adapted from Cement Microscopy Halliburton Services Duncan OK

Courtesy Andrew R Barron License CC-BY

26

Itrsquos a quantum world

27

copy Shizuo KambayashiAP All rights reserved This content is excluded from our CreativeCommons license For more information see httpocwmiteduhelpfaq-fair-use

MIT OpenCourseWarehttpocwmitedu

3021J 1021J 10333J 18361J 2200J Introduction to Modelling and SimulationSpring 2012 For information about citing these materials or our Terms of Use visit httpocwmiteduterms

Page 26: 1.021, 3.021, 10.333, 22.00 Introduction to Modeling and ......1 1.021, 3.021, 10.333, 22.00 Introduction to Modeling and Simulation Spring 2012 Part II – Quantum Mechanical Methods

Surface Reactivity is Key Problem

sect Alite (C3S) sect 7 polymorphs sect Conslttutes 50-shy‐70 sect Reaclton with water Fast

sect Belite (C2S) sect 3 polymorphs sect Conslttutes 15-shy‐30 sect Reaclton with water Slow

bullWhy HowbullCan we tune the Belite reaction rate

Adapted from Cement Microscopy Halliburton Services Duncan OK

Courtesy Andrew R Barron License CC-BY

26

Itrsquos a quantum world

27

copy Shizuo KambayashiAP All rights reserved This content is excluded from our CreativeCommons license For more information see httpocwmiteduhelpfaq-fair-use

MIT OpenCourseWarehttpocwmitedu

3021J 1021J 10333J 18361J 2200J Introduction to Modelling and SimulationSpring 2012 For information about citing these materials or our Terms of Use visit httpocwmiteduterms

Page 27: 1.021, 3.021, 10.333, 22.00 Introduction to Modeling and ......1 1.021, 3.021, 10.333, 22.00 Introduction to Modeling and Simulation Spring 2012 Part II – Quantum Mechanical Methods

Itrsquos a quantum world

27

copy Shizuo KambayashiAP All rights reserved This content is excluded from our CreativeCommons license For more information see httpocwmiteduhelpfaq-fair-use

MIT OpenCourseWarehttpocwmitedu

3021J 1021J 10333J 18361J 2200J Introduction to Modelling and SimulationSpring 2012 For information about citing these materials or our Terms of Use visit httpocwmiteduterms

Page 28: 1.021, 3.021, 10.333, 22.00 Introduction to Modeling and ......1 1.021, 3.021, 10.333, 22.00 Introduction to Modeling and Simulation Spring 2012 Part II – Quantum Mechanical Methods

MIT OpenCourseWarehttpocwmitedu

3021J 1021J 10333J 18361J 2200J Introduction to Modelling and SimulationSpring 2012 For information about citing these materials or our Terms of Use visit httpocwmiteduterms


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