Chapter 9
Covalent Bonding:
Orbitals
Chapter 9
Table of Contents
9.1 Hybridization and the Localized Electron Model
9.2 The Molecular Orbital Model
9.3 Bonding in Homonuclear Diatomic Molecules
9.4 Bonding in Heteronuclear Diatomic Molecules
9.5 Combining the Localized Electron and Molecular
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1. Mix at least 2 nonequivalent atomic orbitals ( e.g.
s and p). Hybrid orbitals have very different shape from original atomic orbitals.
2. Number of hybrid orbitals is equal to number of pure atomic orbitals used in the hybridization process.
3. Covalent bonds are formed by: a. Overlap of hybrid orbitals with atomic orbitals b. Overlap of hybrid orbitals with other hybrid orbitals
10.4
Section 9.1
Hybridization and the Localized Electron Model sp 3 Hybridization
• Combination of one s and three p orbitals.
• Whenever a set of equivalent tetrahedral atomic orbitals is required by an atom, the localized electron model assumes that the atom adopts a set of sp 3 orbitals; the atom becomes sp 3 hybridized.
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Section 9.1
Hybridization and the Localized Electron Model
The Formation of sp 3 Hybrid Orbitals
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Section 9.1
Hybridization and the Localized Electron Model
Tetrahedral Set of Four sp 3 Orbitals
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Section 9.1
Hybridization and the Localized Electron Model sp 2 Hybridization
• Combination of one s and two p orbitals.
• Gives a trigonal planar arrangement of atomic orbitals.
• One p orbital is not used.
Oriented perpendicular to the plane of the sp 2 orbitals.
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Section 9.1
Hybridization and the Localized Electron Model
Sigma (
) Bond
• Electron pair is shared in an area centered on a line running between the atoms.
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Section 9.1
Hybridization and the Localized Electron Model
Pi (
) Bond
• Forms double and triple bonds by sharing electron pair(s) in the space above and below the σ bond.
• Uses the unhybridized p orbitals.
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Section 9.1
Hybridization and the Localized Electron Model
The Hybridization of the s, p x
, and p y
Atomic Orbitals
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Section 9.1
Hybridization and the Localized Electron Model
Formation of C=C Double Bond in Ethylene
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Section 9.1
Hybridization and the Localized Electron Model
sp Hybridization
• Combination of one s and one p orbital.
• Gives a linear arrangement of atomic orbitals.
• Two p orbitals are not used.
Needed to form the
bonds.
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Section 9.1
Hybridization and the Localized Electron Model
When One s Orbital and One p Orbital are Hybridized, a Set of Two
sp Orbitals Oriented at 180 Degrees Results
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Section 9.1
Hybridization and the Localized Electron Model
The Orbitals for CO
2
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Section 9.1
Hybridization and the Localized Electron Model sp 3 d Hybridization
• NO LONGER ON THE AP EXAM – THIS HAS
BEEN DISPROVEN
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Section 9.1
Hybridization and the Localized Electron Model sp 3 d 2 Hybridization
• NO LONGER ON THE AP EXAM – THIS HAS
BEEN DISPROVEN
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Section 9.1
Hybridization and the Localized Electron Model
Concept Check
Draw the Lewis structure for HCN.
Which hybrid orbitals are used?
Draw HCN:
Showing all bonds between atoms.
Labeling each bond as
or
.
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Section 9.1
Hybridization and the Localized Electron Model
Concept Check
Determine the bond angle and expected hybridization of the central atom for each of the following molecules:
NH
3
CO
2
SO
2
KrF
2 * no hybridization
ICl
5 * no hybridization
NH
3
– 107 o , sp 3
SO
2
– 120 o , sp 2
KrF
2
– 90 o , 120 o , sp 3 d
CO
2
– 180 o , sp
ICl
5
– 90 o , 180 o , sp 3 d 2
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Section 9.1
Hybridization and the Localized Electron Model
Using the Localized Electron Model
• Draw the Lewis structure(s).
• Determine the arrangement of electron pairs using the VSEPR model.
• Specify the hybrid orbitals needed to accommodate the electron pairs.
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Section 9.2
The Molecular Orbital Model
• MOLECULAR ORBITAL THEORY IS NO LONGER
INCLUDED IN THE AP CURRICULUM!
• Regards a molecule as a collection of nuclei and electrons, where the electrons are assumed to occupy orbitals much as they do in atoms, but having the orbitals extend over the entire molecule.
• The electrons are assumed to be delocalized rather than always located between a given pair of atoms.
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O
O
No unpaired e -
Should be diamagnetic
Experiments show O
2 is paramagnetic
(has UNPAIRED e-)
Molecular orbital theory – bonds are formed from interaction of atomic orbitals to form molecular orbitals.
10.6
Section 9.2
The Molecular Orbital Model
• The electron probability of both molecular orbitals is centered along the line passing through the two nuclei.
Sigma ( σ) molecular orbitals (MOs)
• In the molecule only the molecular orbitals are available for occupation by electrons.
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Section 9.2
The Molecular Orbital Model
Combination of Hydrogen 1s Atomic Orbitals to form MOs
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Section 9.2
The Molecular Orbital Model
• MO is lower in energy than the s orbitals of free atoms, while MO * is higher in energy than the s orbitals.
Bonding molecular orbital – lower in energy
Antibonding molecular orbital – higher in energy
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Section 9.2
The Molecular Orbital Model
MO Energy-Level Diagram for the H
2
Molecule
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Section 9.2
The Molecular Orbital Model
• Molecular electron configurations can be written similar to atomic electron configurations.
• Each molecular orbital can hold 2 electrons with opposite spins.
• The number of orbitals are conserved.
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Section 9.2
The Molecular Orbital Model
Bonding in H
2
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Section 9.2
The Molecular Orbital Model
Sigma Bonding and Antibonding Orbitals
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Section 9.2
The Molecular Orbital Model
Bond Order
• Larger bond order means greater bond strength.
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Section 9.2
The Molecular Orbital Model
Example: H
2
Bond order =
2
0
= 1
2
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Section 9.2
The Molecular Orbital Model
Example: H
2
–
Bond order =
2
2
1
=
1
2
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Section 9.3
Bonding in Homonuclear Diatomic Molecules
Pi Bonding and Antibonding Orbitals
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Section 9.4
Bonding in Heteronuclear Diatomic Molecules
The Electron Probability Distribution in the Bonding Molecular
Orbital of the HF Molecule
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Section 9.5
Combining the Localized Electron and Molecular Orbital Models
Delocalization
• Describes molecules that require resonance.
• In molecules that require resonance, it is the bonding that is most clearly delocalized, the
bonds are localized.
• p orbitals perpendicular to the plane of the molecule are used to form
molecular orbitals.
• The electrons in the molecular orbitals are delocalized above and below the plane of the molecule.
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Section 9.5
Combining the Localized Electron and Molecular Orbital Models
Resonance in Benzene
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Section 9.5
Combining the Localized Electron and Molecular Orbital Models
The Sigma System for Benzene
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Section 9.5
Combining the Localized Electron and Molecular Orbital Models
The Pi System for Benzene
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