Lecture 10. Molecular Shapes

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MOLECULAR STRUCTURE

AND COVALENT BONDING

GENERAL CHEMISTRY

LECTURE

10

1. Valence Shell Electron Pair Repulsion (VSEPR) Theory

– Determine the shape (electronic and molecular geometry) of the molecule

2. Polar Molecules: The Influence of Molecular Geometry

– Determine the polarity of the molecule

3. Valence Bond (VB) Theory

– Determine the hybrid orbitals used for bonding

SCOPE

• Electron group domains around the central atom are arranged as far apart as possible to minimize repulsions.

• There are five basic molecular shapes based on the number of regions of high electron density around the central atom.

VSPER Theory

1. Two electron group domains around the central atom.

2. Three electron group domains around the central atom.

VSPER Theory

3. Four electron group domains around the central atom.

4. Five electron group domains around the central atom.

VSPER Theory

5. Six electron group domain around the central atom.

VSPER Theory

MOLECULAR STRUCTURE

AND COVALENT BONDING

GENERAL CHEMISTRY

LECTURE

10

Electron-group repulsions and the five

basic molecular shapes.

• Electronic geometry – based on the number of electron domains around

the central atom

• Molecular geometry – accounts the number of nonbonding

electrons/lone pairs

• The same electron-group arrangement can give rise to different molecular shapes.

VSPER Theory

• Lone pairs of electrons require more volume than shared electrons.

• Criteria for the ordering of the repulsions: a) Lone pair to lone pair is the strongest repulsion.

b) Lone pair to bonding pair is intermediate repulsion.

c) Bonding pair to bonding pair is weakest repulsion.

lp/lp > lp/bp > bp/bp

VSPER Theory

The Different Types of Shapes

according to Electron Domains

Examples CO2 BF3

NO2

-

Total Electron Domains: 4 pairs

Examples

CCl4

NH3

H2O

Total Electron Domains: 5 pairs

Examples

PCl5

SF4

ClF3

XeF2

Total Electron Domains: 6 pairs

Examples

SF6

BrF5

XeF5

The Steps in Determining

a Molecular Shape.

Example: Methane, CH4

Electronic and molecular geometries are the same: tetrahedral.

VSPER Theory

Exercise No. 1 Predicting Molecular Shapes

Give the molecular shape and predict the bond angles (relative to the ideal angles) of (a) PF3 (b) COCl2 and (c) BrF5.

SOLUTION: (a) For PF3 N = 8 x 4 = 32 A = 5 + 7 x 3 = 26 S = 6 -> 3 bonds A-S = 20

PF F

F

4 electron group domain The electronic geometry is tetrahedral arrangement.

The F-P-F bond is <109.5o

The final shape (molecular geometry) is trigonal pyramidal.

PF F

F

(b)For COCl2, C has the lowest EN and will be the center atom. N = 8 x 4 = 32 A = 4 + 6 + (7 x 2) = 24 S = 8 -> 4 bonds A-S = 16

C

Cl

O

Cl

The Cl-C-Cl bond angle is < 120o due to the electron density of the C=O.

C

Cl

O

Cl

Predicting Molecular Shapes

SOLUTION:

3 electron group domain The electronic geometry is trigonal planar The final shape (molecular geometry) is trigonal planar

Exercise No. 1

111o

124.5o

Predicting Molecular Shapes

(b)For BrF5, N = 8 x 6 = 48 A = 7 x 6 = 42 S = 6 e -> 10 e -> 5 bonds A-S = 42-10 = 32

SOLUTION:

Br

F

F F

F

F

6 electron group domain The electronic geometry is octahedral arrangement.

The final shape (molecular geometry) is square pyramidal.

Exercise No. 1

Predicting Molecular Shapes with More Than One Central Atom

SOLUTION:

Determine the shape around each of the central atoms in acetone, (CH3)2C=O.

C C C

OH

H

H

HH

H

tetrahedral tetrahedral

trigonal planar

C

O

HC

HHH

C

HH

Exercise No. 2

3. What is the shape of each of the indicated atoms in the molecule below?

1. Trigonal planar

2. Tetrahedral

3. Trigonal planar

4. Bent or angular

Predicting Molecular Shapes with More Than One Central Atom

Exercise No. 3

• Molecular geometry affects molecular polarity.

– The bond dipoles either cancel or reinforce each other.

linear molecule nonpolar

A B

A B A

angular molecule

A

polar

Polarity and Molecular Geometry

• Polar molecules must meet the following requirements:

– One polar bond or one lone pair of electrons on central atom.

– Bonds and lone pairs are not symmetrically arranged.

– Their polarities do NOT cancel.

– Net dipole moment is NOT equal to zero.

Polarity and Molecular Geometry

Bond Polarity, Bond Angle and

Bond Dipole Moment

1. Covalent bonds are formed by the overlap of atomic orbitals.

Valence Bond (VB) Theory

2. Atomic orbitals on the central atom can mix and exchange their character with other atoms in a molecule.

- Hybridization of atomic orbitals

3. Hybrid orbitals have the same shapes as predicted by VSEPR.

Valence Bond (VB) Theory

The number of hybrid orbitals obtained is equal to the number of atomic orbitals mixed.

The type of hybrid orbitals obtained varies with the types of atomic orbitals mixed.

sp sp2 sp3 sp3d sp3d2

Types of Hybrid Orbitals

Hybrid Orbitals

The sp Hybrid Orbitals in Gaseous BeCl2

The sp Hybrid Orbitals in Gaseous BeCl2

Shape: Linear

sp-p

The sp2 Hybrid Orbitals in BF3

The sp2 Hybridized Orbitals

Shape: Trigonal planar

sp2-p

The sp3 Hybrid Orbitals in CH4

The sp3 Hybridized Orbitals

The sp3 Hybridized Orbitals

Shape: Tetrahedral

sp3-p sp3-s

The sp3 Hybrid Orbitals in NH3 and H2O

The sp3d Hybrid Orbitals in PCl5

The sp3d Hybridized Orbitals

Shape: Trigonal bipyramidal

sp3d-p

The sp3d2 Hybrid Orbitals in SF6

The sp3d2 Hybridized Orbitals

Shape: Octahedral

sp3d2-p

Summary: Hybridization

Regions of High Electron Density

Electronic Geometry

Hybridization

2 Linear sp

3 Trigonal planar sp2

4 Tetrahedral sp3

5 Trigonal bipyramidal

sp3d

6 Octahedral sp3d2

Summary: Hybridization

Molecule Lewis Structure

Electron group

domain

Electronic geometry

Hybrid Orbitals

CO2

PO43-

XeF4

SbF5

2 Linear sp

4 Tetrahedral

Octahedral 6

sp3

sp3d2

5 Trigonal bipyramidal

sp3d

4. What is the hybridization of each of the indicated atoms in the molecule below?

1. sp2

2. sp3

3. sp2

4. sp3

Exercise No. 4

Take home quiz

Consider the following ACln species:

SCl2, OCl2, PCl3, SiCl4, SiCl62-

1) Determine the EGG and MGG of each compound

2) Arrange the compounds in decreasing Cl-A-Cl bond angles

3) Are all the molecules polar? Give the list of all the polar compounds from the given

4) Identify the orbitals involved in the bond A-Cl

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