Molecular Geometry and Bonding Theories

Fundamental Properties of Models

Models are human inventions that explain how nature works but do not equal reality

Models are often wrong to some degree

Models tend to become more complicated as they are updated

Models are limited by their assumptions

We learn even when the model is shown to be wrong

The Localized Electron Bonding Model

The Localized Electron (LE) model assumes that a molecule is composed of atoms that are bound together by sharing pairs of electrons using the atomic orbitals of the bound atoms

Electron pairs are assumed to be localized on a particular atom or between atoms

Electron pairs localized on an atom are lone pairs

Electron pairs localized between atoms are bonding pairs.

The LE model has 3 parts

·        Description of valence electron arrangement using Lewis structures

·        Prediction of the geometry of the molecule using valence shell electron pair repulsion (VSEPR) model

·        Description of the type of atomic orbitals containing the electrons

Molecular Structure: The VSEPR Model

Molecular Geometry

Molecular Structure is the three dimensional arrangement of atoms in a molecule

Electronic Geometry

Electronic Structure is the three dimensional arrangement of valence orbitals (areas of electron density {Electron Domains}) in a molecule.

Electron Domains consist of each nonbonding electron pair and each bond (bonded atom).

Valence Shell Electron-Pair Repulsion (VSEPR) Model

Valence Shell Electron-Pair Repulsion (VSEPR) Model is a simple but useful method of estimating molecular structure of nonmetals

The postulate is that the structure around a given atom is determined by miminizing electron-pair repulsions.

VSEPR Model and Multiple Bonds

Double bonds count as one electron domain, one area of electron density

Triple bonds also count as one electron domain, one area of electron density

When resonance structures exist, any one of the resonance structures can be used to predict the molecular structure.

Linear Structure

A Linear Structure results when there are two areas of electron density around an atom
The bond angle is 180°

Occurs when there are two double bonds or one triple bond.

Trigonal Planar Structure

A Trigonal Planar Structure results when there are three areas of electron density around an atom
The bond angle is 120°

Occurs with 1 double bond.

Tetrahedral Arrangement

Tetrahedral Arrangement results when there are four areas of electron density around an atom
The bond angle is 109.5°

Occurs with only single bonds and complete octet.

Trigonal pyramid (only molecular geometry)

Three bonding pairs and a lone pair results in a Trigonal pyramid configuration

Bent or Angled (only molecular geometry)

Two bonding pairs and two lone pairs (tetrahedral electron geometry) results in a bent or angled configuration with bond angle of about 109°.

Two bonding pairs (1 double bond) and one lone pair (trigonal planar electron geometry) results in a bent or angled configuration with bond angle of about 120°.

Trigonal bipyramid (exceeding octet)

Trigonal bipyramid arrangement results when there are five areas of electron density around an atom

Octahedral Structure (exceeding octet)

Octahedral Structure arrangement results when there are six areas of electron density around an atom

Square Planar Structure  (exceeding octet; molecular geometry)

Four bonding pairs and two lone pairs results in a Square Planar Structure


 

Total e- domains

Electron Geometry

Hybrid Orbitals

Bonding Domains

Nonbonding Domains

Molecular Geometry/ Bond Angle

Example

Comment

2

Linear

sp

2

0

Linear
180°

CO2
HCN

Octet satisfied, Two double bonds
or
One triple bond

3

Trigonal planar

sp2

3

0

Trigonal Planar
120°

SO3

Octet satisfied, One double bond

2

1

Bent
120°

SO2

4

Tetrahedral

sp3

4

0

Tetrahedral
109.5
°

SO42-

Octet satisfied, Only single bonds

3

1

Pyramidal
107°

NH3

2

2

Bent
104.5°

H2O

5

Trigonal bipyramidal

dsp3

5

0

Trigonal bipyramidal
90
° & 120°

PCl5

Octet exceeded, 10 electrons

4

1

Seesaw
90° & 120°

SF4

3

2

T-shaped
90°

ClF3

2

3

Linear
180°

XeF2

6

Octahedral

d2sp3

6

0

Octahedral
90
°

SF6

Octet exceeded, 12 electrons

 

5

1

Square pyramidal
90°

BrF5

 

4

2

Square planar
90°

XeF4


 

Molecules Containing No Single Central Atom

Larger molecules with no single central atom have complex geometries. We can describe the geometry around eacy Central stom

Summary of VSEPR Model

·        Determine Lewis structure for molecule

·        For molecules with resonance structures, use any of the structures

·        Sum the lone pairs and bonds (electron domains) around the central atom (double or triple bonds count as one bond)

·        Choose arrangement for number of electron domains

·        Lone pairs require more space than bonding pairs

Polarity

The dipole moment (polarity) depends on both the polarities of the individual bonds and the geometry of the molecule.

Bond dipole is the dipole moment between two bonded atoms. A difference in electronegativity of greater than 0.4 is a polar bond.

If all the bonds in a molecule are nonpolar, then the molecule is nonpolar.

If some bonds are polar, then the molecule will be polar unless the molecule is highly symmetric allowing all the bond dipoles to cancel out leaving no net dipole across the molecule.

A molecule is symmetric (and nonpolar) if all the atoms attached to the central atom are identical and there are no nonbonding pairs on the central atom.