New Materials: Real and Imagined · Real and Imagined Richard D. James Department of Aerospace...

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September 17, 2010

New Materials:

Real and Imagined

Richard D. James

Department of Aerospace Engineering and Mechanics

University of Minnesota

2010 Greater Midwestern Regional Space Grant Consortia Meeting

September 16 - 17, 2010, University of Minnesota, Minneapolis

September 17, 2010 Space Grant Consortia Meeting

Outline

Martensitic phase transformations and multiferroic materials

Hysteresis

Ferromagnetic shape memory

Bacteriophage T4

Objective structures

real

imagined

(2010)

September 17, 2010 Space Grant Consortia Meeting

Martensitic phase transformation

Ga

Mn

Ni

N

S

Ni2MnGa

September 17, 2010 Space Grant Consortia Meeting

Fitting phases together

September 17, 2010 Space Grant Consortia Meeting

Free energy and energy wells

U 1 U 2

RU 2

I

3 x 3 matrices

Minimizers...

Ni30.5

Ti49.5

Cu20.0

= 1.0000

= 0.9579

= 1.0583

Cu69

Al27.5

Ni3.5

= 1.0619

= 0.9178

= 1.0230

September 17, 2010 Space Grant Consortia Meeting

10 m

Austenite/Martensite Interface

Cu-14.0%Al-3.5%Ni

September 17, 2010 Space Grant Consortia Meeting

Outline

Martensitic phase transformations and multiferroic materials

Hysteresis

Ferromagnetic shape memory

Bacteriophage T4

Objective structures

September 17, 2010 Space Grant Consortia Meeting

Hysteresis

Hysteresis

September 17, 2010 Space Grant Consortia Meeting

Textbook explanation for hysteresis

Pinning of interfaces by defects

September 17, 2010 Space Grant Consortia Meeting

austenite

two variants of

martensite, finely

twinned

A rather different hypothesis on the

origins of hysteresis

What if we tune the

composition of the

material to make

September 17, 2010

Heating and cooling Ni2MnGa

September 17, 2010

Measured thermal hysteresis

Hysteresis = As + Af – Ms – Mf

Jerry Zhang

September 17, 2010

Hysteresis vs.

Jerry Zhang

Triangles:

combinatorial

synthesis data of

Cui, Chu, Famodu,

Furuya, Hattrick-

Simpers, James,

Ludwig, Theinhaus,

Wuttig, Zhang,

Takeuchi

Many alloys made by combinatorial

synthesis methods: “zero hysteresis”

September 17, 2010 Space Grant Consortia Meeting

Rémi Delville, N. Schryvers

Ti50Ni39Pd11

λ2 ≈ 1

September 17, 2010

Ni43Co7Mn40Sn10

V. Srivastava, X. Chen, James λ2 = 1.0032

calorimetry magnetization vs. field

September 17, 2010

Ni43Co7Mn40Sn10

permanent

magnet

Specimen of Ni43Co7Mn40Sn10 on a

copper finger. The copper is being

heated 7.5 cm

September 17, 2010 Space Grant Consortia Meeting

Outline

Martensitic phase transformations and multiferroic materials

Hysteresis

Ferromagnetic shape memory

Bacteriophage T4

Objective structures

September 17, 2010 Space Grant Consortia Meeting

Ferromagnetic shape memory materials

Three important temperatures:

Curie temperature of austenite:

Curie temperature of martensite

Austenite-martensite transformation temperature: first order

second order

T

Two ways to field-induce a shape change:

1) Field-induce the austenite-martensite

transformation

2) Rearrange variants of martensite

below transformation temperature. picture below drawn with measured

lattice parameters of Ni2MnGa

H

September 17, 2010 Space Grant Consortia Meeting

Strain vs. field in Ni2MnGa

H (010)

(100)

30 times the strain of giant magnetostrictive materials

September 17, 2010 Space Grant Consortia Meeting

Ni2MnGa cantilever

H(t)

picture drawn with

measured lattice

parameters of

Ni2MnGa

(Electromagnetic force on the cantilever is zero; it is driven by configurational force)

Work done is

proportional to the

thickness h rather than

h3 due to…

dxhm

Biologically inspired micro-scale muscles:

lessons from copepods

Bending action of an

FSMA micro-cantilever

(with Yaniv Ganor, Jian Sheng)

September 17, 2010 Space Grant Consortia Meeting

Outline

Martensitic phase transformations and multiferroic materials

Hysteresis

Ferromagnetic shape memory

Bacteriophage T4

Objective structures

September 17, 2010 Space Grant Consortia Meeting

Bacteriophage T4: a virus that attacks

bacteria

Bacteriophage T-4 attacking

a bacterium: phage at the right

is injecting its DNA

Wakefield, Julie (2000) The return of the phage. Smithsonian 31:42-6

September 17, 2010 Space Grant Consortia Meeting

Mechanism of infection

A 100nm bioactuator

September 17, 2010 Space Grant Consortia Meeting

Outline

Martensitic phase transformations and multiferroic materials

Hysteresis

Ferromagnetic shape memory

Bacteriophage T4

Objective structures

September 17, 2010 Space Grant Consortia Meeting

Structure of bacteriophage T4 tail sheath

September 17, 2010 Space Grant Consortia Meeting

Examples Hepatitis B TMV Flu

September 17, 2010 Space Grant Consortia Meeting

Periodic Table of the Elements

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18

1 H He

Hex Hex

2 Li Be B C N O F Ne

Cub Hex Rhom Hex Hex Cub Cub Cub

3 Na Mg Al Si P S Cl Ar

Cub Hex Cub Cub Mono Ortho Ortho Cub

4 K Ca Sc Ti V Cr Mn Fe Co Ni Cu Zn Ga Ge As Se Br Kr

Cub Cub Hex Hex Cub Cub Cub Cub Hex Cub Cub Hex Ortho Cub Rhom Hex Ortho Cub

5 Rb Sr Y Zr Nb Mo Tc Ru Rh Pd Ag Cd In Sn Sb Te I Xe

Cub Cub Hex Hex Cub Cub Hex Hex Cub Cub Cub Hex Tet Tet Rhom Hex Ortho Cub

6

Cs Ba * Hf Ta W Re Os Ir Pt Au Hg Tl Pb Bi Po At Rn

Cub Cub Hex Cub Cub Hex Hex Cub Cub Cub Rhom Hex Cub Rhom Mono ? Cub

September 17, 2010 Space Grant Consortia Meeting

Bravais lattice

FCC

e1

e3

e2

September 17, 2010 Space Grant Consortia Meeting

Periodic Table: Bravais lattices

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18

1 H He

Hex Hex

2 Li Be B C N O F Ne

Cub Hex Rhom Hex Hex Cub Cub Cub

3 Na Mg Al Si P S Cl Ar

Cub Hex Cub Cub Mono Ortho Ortho Cub

4 K Ca Sc Ti V Cr Mn Fe Co Ni Cu Zn Ga Ge As Se Br Kr

Cub Cub Hex Hex Cub Cub Cub Cub Hex Cub Cub Hex Ortho Cub Rhom Hex Ortho Cub

5 Rb Sr Y Zr Nb Mo Tc Ru Rh Pd Ag Cd In Sn Sb Te I Xe

Cub Cub Hex Hex Cub Cub Hex Hex Cub Cub Cub Hex Tet Tet Rhom Hex Ortho Cub

6

Cs Ba * Hf Ta W Re Os Ir Pt Au Hg Tl Pb Bi Po At Rn

Cub Cub Hex Cub Cub Hex Hex Cub Cub Cub Rhom Hex Cub Rhom Mono ? Cub

= not a Bravais lattice

September 17, 2010 Space Grant Consortia Meeting

Objective atomic structure

September 17, 2010 Space Grant Consortia Meeting

Objective atomic structures

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18

1 H He

Hex Hex

2 Li Be B C N O F Ne

Cub Hex Rhom Hex Hex Cub Cub Cub

3 Na Mg Al Si P S Cl Ar

Cub Hex Cub Cub Mono Ortho Ortho Cub

4 K Ca Sc Ti V Cr Mn Fe Co Ni Cu Zn Ga Ge As Se Br Kr

Cub Cub Hex Hex Cub Cub Cub Cub Hex Cub Cub Hex Ortho Cub Rhom Hex Ortho Cub

5 Rb Sr Y Zr Nb Mo Tc Ru Rh Pd Ag Cd In Sn Sb Te I Xe

Cub Cub Hex Hex Cub Cub Hex Hex Cub Cub Cub Hex Tet Tet Rhom Hex Ortho Cub

6

Cs Ba * Hf Ta W Re Os Ir Pt Au Hg Tl Pb Bi Po At Rn

Cub Cub Hex Cub Cub Hex Hex Cub Cub Cub Rhom Hex Cub Rhom Mono ? Cub

? ?

September 17, 2010 Space Grant Consortia Meeting

Examples of Objective Structures

is an objective

molecular structure if

there are orthogonal

transformations

such that

September 17, 2010 Space Grant Consortia Meeting

(6,6) carbon nanotube

September 17, 2010 Space Grant Consortia Meeting

The quantum mechanics problem

May 23, 2010 SIAM

Self-assembly and objective structures

Consider structures assembled from one kind of molecule. This “molecule” could be a collection of several actual molecules

a’

a’’

a

a

Crane, 1950

Caspar and Klug, 1962

A simple macroscopic example

S

N

N

N N

N

N

S

Strength of bonds graded by

1) Magnet configuration

2) Shape

(made by rapid prototyping)

Yaniv Ganor

May 23, 2010 SIAM

Mix

1000 molecules in solution

• Why does one get 16 capsids rather than 500 dimers?

A careful grading of bond strengths relative to “entropic effects”

September 17, 2010 Space Grant Consortia Meeting

“Imagined” objective structures: fertile

ground for the discovery of new materials

Objective structures are the natural structures to exhibit collective properties:

– Ferromagnetism

– Ferroelectricity

– Superconductivity

…and natural structures for self-assembly

Search systematically among

objective structures for those with

collective properties

Is it possible to make molecules with bonding sites of

prescribed position and orientation?