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AP Chemistry Rapid Learning Series - 15
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Rapid Learning CenterChemistry :: Biology :: Physics :: Math
Rapid Learning Center Presents …p g
Teach Yourself AP Chemistry Visually in 24 Hours
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Lewis Structures
AP Ch i t R id L i S i
Rapid Learning Centerwww.RapidLearningCenter.com/© Rapid Learning Inc. All rights reserved.
AP Chemistry Rapid Learning Series
Wayne Huang, PhDKelly Deters, PhDRussell Dahl, PhD
Elizabeth James, PhDDebbie Bilyen, M.A.2/86
AP Chemistry Rapid Learning Series - 15
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Learning Objectives
Valence Bond Theory
Th O t t R l
By completing this tutorial you will learn…
The Octet Rule
Lewis Structures for:Elements
Covalent Compounds
Polyatomic Ions
Ionic Compounds
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p
Valence Shell Electron Pair Repulsion Theory
Electron and Molecular Geometry
Concept MapChemistry
Studies
Previous content
New content
Matter
Compounds
One type is
ValanceBond
Theory
1 bonding theory is
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MolecularGeometry
ElectronGeometry
StructuresLewis
Structures
Shown with
Used to determine
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Valence Bond Theory and the Octet Rule
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Definition: Valence Shell
Valence Shell – Outermost shell of electrons; the electrons with the highest principal energy level number; the electrons that form chemical bonds.
Cl: 1s2 2s2 2p6 3s2 3p5 7 valence electrons
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4s 2 3d10 4p5Br: [Ar] 7 valence electrons
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Definition: Valence Bond Theory
Valence Bond Theory– Bonds are formed by overlap of valenceby overlap of valence orbitals.
H HH H
Valence Bond
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H HH Hs-orbital
Both atoms get to “count” the electrons that are being shared between the two.
Definition: Octet Rule
Octet Rule – Most atoms are more stable with a full valence shell (whichstable with a full valence shell (which is a noble gas configuration). A full shell has 8 electrons (“oct-” = 8).
More exceptions will be discussed soon, but for now, Hydrogen is an exception.
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Hydrogen’s valence shell only contains a 1s orbital, which can only hold 2 electrons.
Therefore, hydrogen is most stable with 2 electrons.
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Determining # of Valence Electrons
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Valence Electrons and the Periodic Table
The main groups of the periodic table have # of electrons = main group #.
1 2 3 4 5 6 7 8
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The transition metals don’t have easy patterns. Here are some of the common elements:
Valence Electrons of Transition Metals
Element Valence Electrons
Al
Zn
Cd
3
2
2
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Ag
Au
1
3
Lewis Structures
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Definition: Lewis Structure
Lewis Structure – 2D visualization of how electrons are shared to formhow electrons are shared to form bonds between atoms.
Also called:- Electron Dot Structures- Dot Structures
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- Lewis Dot Structures
Lewis Structures of Elements
Use the element’s symbol to represent the nucleus and core (non-valence) electrons.1
How to draw an element:
( )
Determine the number of valence electrons from the position on the Periodic Table.
Draw the electrons around the “nucleus”—one on each side before doubling up (Hund’s Rule—place one in each orbital before doubling).
2
3
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Example: Draw the Lewis Structure for an oxygen atom.
OOxygen is in the 6th main group.
There are 6 valence electrons.
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Lewis Structures—Lewis StructuresCovalent Compounds with 2 Elements
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Binary Covalent Structures - 1
Arrange the atoms symmetrically.
Determine the # of valence electrons for each
1
For compounds with only 2 different non-metals:
Determine the # of valence electrons for each element.Draw the valence electrons—do not double up where 2 atoms are bonding.When atoms have 8 (2 for H), the structure is done.
2
3
4
Example: Draw the Lewis Structure for CH
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Example: Draw the Lewis Structure for CH4
CCarbon is in the 4th main group.There are 4 valence electrons.
HHH
HHydrogen is in the 1st main group.There is 1 valence electron.
Carbon now has 8 electrons it’s sharing.
Each hydrogen has 2 electrons it’s sharing.
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Binary Covalent Structure - 2
Arrange the atoms symmetrically.
Determine the # of valence electrons for each
1
Another example:
Determine the # of valence electrons for each element.Draw the valence electrons—do not double up where 2 atoms are bonding.When atoms have 8 (2 for H), the structure is done.
2
3
4
Example: Draw the Lewis Structure for NH
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Hydrogen is in the 1st main group.There is 1 valence electron.
Nitrogen is in the 5th main group.There are 5 valence electrons.
H
Nitrogen now has 8 electrons it’s sharing.Each hydrogen has 2 electrons it’s sharing.
Example: Draw the Lewis Structure for NH3
N HH
Lone Pairs and Bonding PairsLone Pair
Electrons not shared in a bond
Bonding PairElectrons shared between two atoms
N HHH
Lone Pairs are “counted” only by the one atom.
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y yLone Pairs are important and must be drawn even though they aren’t bonding.
Bonding Pairs are “counted” by both atoms that are sharing them.
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Lewis Structures - Multiple Bonds
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Multiple Bond Example - 1a
Arrange the atoms symmetrically.
Determine the # of valence electrons for each
1
Begin with the same steps:
Determine the # of valence electrons for each element.Draw the valence electrons—do not double up where 2 atoms are bonding.When atoms have 8 (2 for H), the structure is done.
2
3
4
Example: Draw the Lewis Structure for CO
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Carbon is in the 4th main group.There are 4 valence electrons.
Oxygen is in the 6th main group.There are 6 valence electron.
O C OCurrently, carbon only has 6.
And each oxygen only has 7.
Example: Draw the Lewis Structure for CO2 .
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When the previous steps do not result in full valences:
Move two unpaired electrons on adjacent atoms to bond together.
Multiple Bond Example - 1b
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Example: Draw the Lewis Structure for CO
Repeat until all atoms have full valence shells.
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O C ONow Carbon has 8.
And each oxygen also has 8.
Example: Draw the Lewis Structure for CO2 .
Multiple Bond Example - 2a
Arrange the atoms symmetrically.
Determine the # of valence electrons for each
1
Begin with the same steps:
Determine the # of valence electrons for each element.Draw the valence electrons—do not double up where 2 atoms are bonding.When atoms have 8 (2 for H), the structure is done.
2
3
4
Example: Draw the Lewis Structure for HCN
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Carbon has 4 valence electronsHydrogen has 1 valence electronNitrogen has 5 valence electrons.
But the carbon and nitrogen each only have 6 electrons.
C NH
Example: Draw the Lewis Structure for HCN .
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Move two unpaired electrons on adjacent atoms to bond together.
When the previous steps do not result in full valences:
Multiple Bond Example - 2b
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Example: Draw the Lewis Structure for HCN
Repeat until all atoms have full valence shells.
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C NH
Example: Draw the Lewis Structure for HCN .
Now all valence shells are full.
Double and Triple Bonds
Double Bond
C OO
Triple Bond
C OO
C NH
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A double bond is 2 pairs of electrons being shared.Double bonds are shorter and stronger than single bonds.
A triple bond is 3 pairs of electrons being shared.Triple bonds are shorter and stronger than double bonds.
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Lewis Structures - CovalentLewis Structures Covalent Compounds with More Than 2 Elements
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What Order do the Elements Go In?When there are more than two elements, how do you arrange them?
“COOH” is a carboxylic acid.1Hydrogen and halogens (F, Cl, Br, I) can’t go in the middle.Of the elements that can go in the middle, write in the order they’re given.Write the hydrogen and halogen atoms around what they’re next to in the formula.
2
3
4
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Example: H5C2OH
Write in this order C C OHH
H H
HH
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Finishing the Lewis StructuresOnce you’ve arranged the atoms, finish the process:
Arrange the atoms according to the formula.
Determine the # of valence electrons for each
1
Determine the # of valence electrons for each element.Draw the valence electrons - do not double up where 2 atoms are bonding.When atoms have 8 (2 for H), the structure is done.
2
3
4
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Example: H5C2OH
C C OHH
H H
HH
Each carbon has 4 electronsEach hydrogen has 1 electronThe oxygen has 6 electrons.
Example 2 - 1
“COOH” is a carboxylic acid.
Hydrogen and halogens (F Cl Br I) can’t go in the1
Hydrogen and halogens (F, Cl, Br, I) can t go in the middle.Of the elements that can go in the middle, write in the order they’re given.Write the hydrogen and halogen atoms around what they’re next to in the formula.
2
3
4
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Example: BrH2CCH2COOH
C C CBrH
H H
HOCarboxylic acid
OH
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Example 2 - 2
Arrange the atoms according to the formula.
Determine the # of valence electrons for each
1
Determine the # of valence electrons for each element.Draw the valence electrons—do not double up where 2 atoms are bonding.When atoms have 8 (2 for H), the structure is done.
2
3
4
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Example: BrH2CCH2COOH
C C CBrH
H H
HO
O
HCurrently, some of the atoms are full…
But one carbon and one oxygen each only have 7.
Move two unpaired electrons on adjacent atoms to bond together.
Example 2 - 3
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Repeat until all atoms have full valence shells.
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All valence shells are currently full.
Example: BrH2CCH2COOH
C C CBrH
H H
HO
O
H
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Moving Hydrogen Atoms AroundSometimes, in order to have all atoms with full valence shells, a hydrogen must be bonded in a different location.
Example:
Each carbon has 4 electrons.Each hydrogen has 1 electron.
C3H6
C C CH
H H
H
H
HTwo carbons do not have full valence shells.
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They are not adjacent—they cannot double bond.If one hydrogen is moved to another carbon…
Now two carbons right next to each other have un-full shells and can double bond.
This move of the hydrogen is not prohibited by the given information (the formula C3H6).
Lewis Structures -Polyatomic Ions
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Definition: Polyatomic Ion
Polyatomic Ion – Group of atoms covalently bonded that together havecovalently bonded that together have a charge.
e.g. NH4+, SO4
2-
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Polyatomic CationA cation is a positively charge ion (loss of electrons).
Arrange the atoms according to the formula.Determine the # of valence electrons for each
1
2
In this case, there is no choice but to double up on a side with a bond.
Determine the # of valence electrons for each element.Draw the valence electrons—do not double up where 2 atoms are bonding.When atoms have 8 (2 for H), the structure is done.
2
3
4
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Example: NH41+
N HHH
HNitrogen has 5 electronsEach hydrogen has 1 electron.The +1 charge means we can remove 1 electron!
H’s electron is removed to result in +1 charge
+1
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Polyatomic AnionA anion is a negatively charge ion (gain of electrons).
Arrange the atoms according to the formula.Determine the # of valence electrons for each
1
2 Determine the # of valence electrons for each element.Draw the valence electrons—do not double up where 2 atoms are bonding.When atoms have 8 (2 for H), the structure is done.
2
3
4When placing electrons around the oxygen, do not place them where there is already a pair of electrons from sulfur.
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Example: SO42-
S OOO
OSulfur has 6 electrons.Each oxygen has 6 electrons.The -2 charge means we can add 2 electrons!
-22 electrons are added to result in the -2 charge.
Lewis Structures -Another Approach
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Another Approach - 1
Arrange the atoms symmetrically or according to the chemical formula.1
O C O
Example: Draw the Lewis Structure for CO2 .
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Determine the total # of valence electrons for each element.2
Another Approach - 2
O C OCounting electrons:1 Carbon = 1 × 4 = 4 electrons2 Oxygens = 2 × 6 = 12 electrons
Example: Draw the Lewis Structure for CO2 .
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2 Oxygens 2 × 6 12 electronsTotal = 16 electrons
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Put one pair of electrons in between each set of atoms.
3
Another Approach - 3
O C OCounting electrons:1 Carbon = 1 × 4 = 4 electrons2 Oxygens = 2 × 6 = 12 electrons
Example: Draw the Lewis Structure for CO2 .
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2 Oxygens 2 × 6 12 electronsTotal = 16 electrons 161412
Place lone pairs around the most electronegative atom first (closest to F on the periodic table). Stop when you run out of electrons.
4
Another Approach - 4
O C OCounting electrons:1 Carbon = 1 × 4 = 4 electrons2 Oxygens = 2 × 6 = 12 electrons
Example: Draw the Lewis Structure for CO2 .Oxygen is more electronegative than carbon
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2 Oxygens 2 × 6 12 electronsTotal = 16 electrons 121086420
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If any atoms do not have full valences, move a lone pair from an adjacent atom in to form multiple bonds.
5
Another Approach - 5
O C O
Example: Draw the Lewis Structure for CO2 .
Each oxygen has 8 electronsBut carbon only has 4 electrons
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A Larger Compound - 1
Arrange the atoms symmetrically or according to the chemical formula.1
Example: BrH2CCH2COOH
O
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C CBrH
H H
HO
O
HC
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Determine the total # of valence electrons for each element.2
A Larger Compound - 2
Counting electrons:
Example: BrH2CCH2COOH
O
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1 Bromine = 1 × 7 = 7 electrons5 Hydrogens = 5 × 1 = 5 electrons3 Carbons = 3 × 4 = 12 electrons2 Oxygens = 2 × 6 = 12 electronsTotal = 36 electrons
C C CBrH
H H
HO
O
H
Put one pair of electrons in between each set of atoms.
3
A Larger Compound - 3
Counting electrons:
Example: BrH2CCH2COOH
O
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1 Bromine = 1 × 7 = 7 electrons5 Hydrogens = 5 × 1 = 5 electrons3 Carbons = 3 × 4 = 12 electrons2 Oxygens = 2 × 6 = 12 electronsTotal = 36 electrons
3616
C C CBrH
H H
HO
O
H
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Place lone pairs around the most electronegative atom first (closest to F on the periodic table). Stop when you run out of electrons.
4
A Larger Compound - 4
Counting electrons:
Example:
Oxygen is most electronegative, followed by bromine.
BrH2CCH2COOH
O
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1 Bromine = 1 × 7 = 7 electrons5 Hydrogens = 5 × 1 = 5 electrons3 Carbons = 3 × 4 = 12 electrons2 Oxygens = 2 × 6 = 12 electronsTotal = 36 electrons
C C CBrH
H H
HO
O
H
If any atoms do not have full valences, move a lone pair from an adjacent atom in to form multiple bonds.
5
A Larger Compound - 5
Example:
All have full valences except one carbon and one oxygen.
BrH2CCH2COOH
O
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C C CBrH
H H
HO
O
H
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Lewis Structures -Ionic Compounds
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Definition: Ionic Compound
Ionic Compound – Metals transfers electrons to non-metals. Theelectrons to non metals. The resulting ions form an electrostatic attraction.
e.g. KCl, Na2SO4
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e.g. KCl, Na2SO4
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Ionic Compound ExampleAn ionic compound is between metals and non-metals.
Determine the # of valence electrons for each atom.1
Draw the valence electrons.
Transfer electrons from the metals to the non-metals to fill valence shells.
2
3
The metal will be left with no electrons in the electrons shell “drawn”.However, the next inner shell is full and it now the “valence” shell.
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Example: KCl
ClKPotassium has 1 electron.Chlorine has 7 electrons.
+1 -1
Polyatomic Ionic Compound ExampleAn ionic compound is between metals and non-metals.
Determine the # of valence electrons for each atom.1
Draw the valence electrons.
Transfer electrons from the metals to the non-metals to fill valence shells.
2
3
The total charge should = 0
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Example: Na2SO4 NaEach sodium has 1 electronSO4 is a polyatomic ion—it must be covalently bonded first.
+1
S OOO
O -2
Na+1
-1
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Exceptions to the Octet Rule
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Common Exceptions to the Octet Rule
# of Valence Electrons when “Full”
Element(s)
2
6
>8
H, He
B, Be
Any element in the 3rd period and below
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Elements in period 3 and below have empty “d” orbitals that can be used to hold more than 8 valence electrons.
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Exception Examples
“Full” with 6 electrons
B FF B FFF
S
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Has 10 electrons
F
Electron andElectron and Molecular Geometry
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VSEPR Theory
ValenceShellElectronP i
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PairRepulsion Theory
What Does VSEPR Mean?
Bonds are made Negatively Bonds form asBonds are made of shared electrons (negatively charged subatomic particles)
Negatively charged things repel each other
Bonds form as far apart from each other (and other electrons) as possible
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Valence shell electron pair repulsion
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Definition: Electron & Molecular Geometry
Electron Geometry – Uses the VSEPR theory with the electron regions around the central atomregions around the central atom. An electron bond is a bond (single, double or triple…they all count as one region).
Molecular Geometry – Uses the VSEPR
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Molecular Geometry – Uses the VSEPR theory with the atoms bonded around the central atom.
How to Count Electron Regions
21
Electron geometry depends on electron regions surrounding the central atom.
3
21
4
N HHH
C NH
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1 2The triple bond is only one electron region.
C NH
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Chemical Formulas for Geometry
Lone PairsCentral Atom
Each geometry has a “generic” chemical formula.
X EA
Lone PairsCentral Atom
Atoms bonded to central atom (“ligand”)
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e.g. AX3E AXX
X
Linear GeometryAX2
2 electron regions2 electron regions
Bonds 180° apart
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Examples: CO2, BeH2
Named: looks like a “line”
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Trigonal Planar GeometryAX3
3 electron regions3 electron regions
Bonds 120° apart
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Examples: BF3, C2H4
Named: It’s a flat (“planar”) triangle.
Tetrahedron GeometryAX4
4 electron regions
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Bonds 109.5° apart
Examples: CH4, SO2Cl2
Named: If each plane (defined by 3 points) is covered, it’s a 4 (“tetra”) sided object (“hedron” ).
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Trigonal Bipyramidal GeometryAX5
5 electron regions
Bonds: Inside “Triangle” = 120°
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Bonds: Inside Triangle 120Between top/triangle/bottom = 90°
Examples: PCl5, AsF5
Named: If each plane (defined by 3 points) is covered, 2 pyramids with triangular bases are sitting base-to-base.
Octahedron GeometryAX6
6 electron regions
Bonds: 90°
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Bonds: 90
Examples: SF6, PF6
Named: If each plane (defined by 3 points) is covered, it’s an 8 (“Octa”) sided object (“hedron”).
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Determining Electron GeometryElectron geometry is determined by electron regions.
Electron regions
Name of geometry Angle between regions
Picture
Linear
Trigonal Planar
Tetrahedral
180°
120°
109.5°
2
3
4
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Trigonal Bipyramidal
Octahedron
90° and 120°
90°
5
6
Determining Molecular GeometryMolecular geometry is determined by # of atoms bonded to the central atom.
Formula Name of geometry Angle between bonded atoms
Picture
Linear
Trigonal Planar
Tetrahedral
bonded atoms
180°
120°
109 5°
AX2
AX3
AX
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Tetrahedral
Trigonal Bipyramidal
Octahedron
109.5
90° and 120°
90°
AX4
AX5
AX6
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Geometry with Lone PairsUse the formula to determine the electron geometry.
Each atom bonded to the central atom (ligand) counts as 1.Each lone pair counts as 1.ac o e pa cou ts as
e.g. AX2E2= 2 bonds & 2 lone pairs = 4 electron regions
To determine molecular geometry, first determine
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the electron geometry and then remove atoms to form lone pairs and re-name the geometry.
Bent Geometry with 1 Lone PairAX2E
Start with 3 electron regionsTrigonal Planar
Remove 1 atom
Bent 120º
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Examples: SO2, O3
Named: It looks like a “bent” line.
Trigonal Planar
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Bent Geometry with 2 Lone PairsAX2E2
Start with 4 electron regionsTetrahedron
Remove 2 atoms
Bent 109.5º
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Examples: H2O, SF2
Named: It looks like a “bent” line.
Tetrahedron
Trigonal Pyramidal GeometryAX3E
Start with 4 electron regionsTetrahedron
Remove 1 atom
Trigonal Pyramidal
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Examples: NH3, SOCl2
Named: It looks like a pyramid with a triangular base.
Tetrahedron
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See-Saw GeometryAX4E
Start with 5 electron regionsTrigonal Bipyramidal
Remove 1 atom
See-Saw
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Examples: SF4, O2XeF2
Named: It looks like a see-saw
Trigonal Bipyramidal
T-Shaped GeometryAX3E2
Start with 5 electron regionsTrigonal Bipyramidal
Remove 2 atoms
T-Shaped
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Examples: ClF3, BrF3
Named: It looks like a “T”
Trigonal Bipyramidal
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Linear with 3 Lone PairsAX2E3
Start with 5 electron regionsTrigonal Bipyramidal.
Remove 3 atoms
Linear
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Examples: XeF2, I3
Named: It looks like a “line”
Trigonal Bipyramidal.
Square Pyramidal GeometryAX5E
Start with 6 electron regionsOctahedron
Remove 1 atom
Square Pyramidal
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Examples: BrF5, IF5
Named: It looks like a pyramid with a square base.
Octahedron
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Square Planar GeometryAX4E2
Start with 6 electron regionsOctahedron
Remove 2 atoms
Square Planar
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Examples: ICl4, XeCl4
Named: It looks a flat (“planar”) square.
Octahedron
Effect of Lone Pairs on Molecular Geometry
N HHH
Both molecules have 4 electron regions:
These electrons areN HHH
C HHH
These electrons are not being “controlled” by another nucleus.
Lone pairs take up more space than a bonding pair—they distort the bond angles slightly.
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Instead of being 109.5° angles (tetrahedron), the angles are 107.3°
107.3°107.3°
N HHH
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Determining Geometry with Lone PairsFormula Name of geometry
Bent
Picture
AX2E
Bent
Trigonal Pyramidal
See-Saw
T-Shaped
AX2E2
AX3E
AX4E
AX3E2
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LinearAX2E3
Square PyramidalAX5E
Square PlanarAX4E2
Geometry ExampleExample: Give the electron and molecular geometry for H2O.
O HH21 BondLone pair
O HH
First, draw the Lewis Structure.
For electron geometry, determine # of electron regions
34
4 electron regions = tetrahedral electron geometry
Lone PairBond
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g g y
For molecular geometry, count atoms bonded to and lone pairs around the central atom.
2 bonded atoms and 2 lone pairs = bent molecular geometry
Note - this problem is commonly answered incorrectly as it “looks” linear as it’s written above. But the lone pairs make it bent!
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LewisLewis Structures & The AP Exam
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Lewis Structures in the Exam
Draw Lewis Structures
Common Lewis Structure problems:
Identify VSEPR geometries
Draw isomers or resonance structures
Use Lewis Structures and bonding theory to explain behavior.
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Multiple Choice QuestionsProblems often combine bonding theory with Lewis Structures.
E l Whi h VSEPR t h 3d h b idi ti ?Example: Which VSEPR geometry has sp3d hybridization?
A. Bent
B. Trigonal bipyramidal
C Tetrahedron
sp2 or sp3
sp3d
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C. Tetrahedron
D. Octahedron
sp3
sp3d2
Answer: B
Free Response QuestionsThe Free Response questions often ask for you to explain certain behavior.
Example: Explain the following in terms of atomic or molecular structure:
A. The second ionization energy of Mg is much lower than the second ionization energy of Na
B. The atomic radius of N is greater than OC. The boiling point of H2O is higher than H2SD. The bond angle of NH3 is smaller than NH4
+
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A Lewis Structure/Bonding theory question combined with other atomic structure, intermolecular forces sub-questions.
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Answering Free Response QuestionsDrawing structures along with labeling and brief explanation is an excellent why to answer a question!
D The bond angle of NH is smaller than NH +D. The bond angle of NH3 is smaller than NH4+
N HH N HHH
Lone pairs take up more space than bonding pairs.
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H H
This distorts the other bond angles in towards each other.
Valence Shell Electron Pair
Repulsion (VSEPR) th i d t
Valence Shell Electron Pair
Repulsion (VSEPR) th i d t
Elements bond to obtain a full
valence shell—
Elements bond to obtain a full
valence shell—
Electron geometry is determined by electron regions, while molecular
Electron geometry is determined by electron regions, while molecular
Learning Summary
Covalent compoundsCovalent compounds
theory is used to determine
geometry of molecules.
theory is used to determine
geometry of molecules.
for most elements, that means 8 (the octet rule).
for most elements, that means 8 (the octet rule).
while molecular geometry is
determined by atoms bonded to the central atom.
while molecular geometry is
determined by atoms bonded to the central atom.
Lewis Structures areLewis Structures are
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Covalent compounds share electrons, while
ionic compounds transfer electrons from one atom to another.
Covalent compounds share electrons, while
ionic compounds transfer electrons from one atom to another.
Lewis Structures are used to show the
valence electrons and their arrangement in
compounds.
Lewis Structures are used to show the
valence electrons and their arrangement in
compounds.
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Lewis Structures
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