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Copyright©2000 by Houghton Mifflin Company. All rights reserved.

1

Covalent Bonding: Hybrid Atomic Orbitals

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2

Bonding

– Write Lewis Structures.

– Determine the Arrangement of e- pairs using VSEPR Theory.

– Determine the hybrid atomic orbitals used to form bonds.

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3

Hybridization

• The mixing of atomic orbitals to form special orbitals for bonding.

• The atoms are responding as needed to give the minimum energy for the molecule.

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4

Hybrid Orbitals

• Orbitals used to describe bonding that are obtained by taking combinations of atomic orbitals of the isolated atoms.

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5

Figure 9.1(a) Lewis Structure (b) Tetrahedral Molecular Geometry of the Methane Molecule

By experiment, CH4 know to be tetrahedral with bond angles of 109.5.

Experiments show 4 equivalent bonds.

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6

• Valence electrons of carbon:

2s2 2p2

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7

Figure 9.2

The Valence Orbitals on a Free Carbon Atom: 2s, 2px, 2py, and 2pz

• Bonding assumed to involve only the valence electrons.

• Overlap with these orbitals would not give 109.5 bond angles.

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8

Hybridization

• ☻☻☻

• A new set of atomic orbitals might better serve the C atom in forming molecules.

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9

Hybridization

• ☻☻☻

• Hybridization = Modification of model to account for the observation.

• Atoms seem to use special orbitals when forming molecules.

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10

Figure 9.3

The Formation of sp3 Hybrid Orbitals

“sp3 hybridization.”

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11

Figure 9.5

An Energy-Level Diagram Showing the Formation of Four sp3 Orbitals

Four equivalent carbon orbitals.

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12

Figure 9.6

Tetrahedral Set of Four sp3 Orbitals

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13

Figure 9.7

The Nitrogen Atom in Ammonia is sp3 Hybridized

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14

Ethylene

• H2C==CH2

• Each carbon atom is surrounded by three effective pairs.

• Requires a set of 3 orbitals with a trigonal planar geometry and 120 bond angles.

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15

Figure 9.8

The Hybridization of the s, px, and py Atomic Orbitals

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16

Figure 9.9

An Orbital Energy-Level Diagram for sp2 Hybridization

One 2p orbital of carbon is not used..

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17

Figure 9.10

An sp2 Hybridized C Atom

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18

(sigma) bonds

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19

Figure 9.11

The Bonds in Ethylene

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20

Double Bond

• Double bond results from an additional bond----- a (pi) bond.

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21

Figure 9.12

Sigma and Pi Bonding

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22

Figure 9.13

The Orbitals for C2H4

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23

Whenever an atom is surrounded by3 effective e- pairs,

a set of sp2 hybrid orbitals is required.

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24

• A sigma () bond centers along the internuclear axis.

• A pi () bond occupies the space above and below the internuclear axis.

CCH H

HH

Double Bonds

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25

CO2

• O==C==O

• 2 effective pairs around central atom at an angle of 180

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26

Figure 9.14

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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27

Figure 9.16

The Orbital Energy-Level Diagram for the Formation of sp Hybrid Orbitals on Carbon

A set of two sp orbitals.

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28

Figure 9.17

The Orbitals of an sp Hybridized Carbon Atom

Two sp hybridizedorbitals.

Two p unhybrizedOrbitals.

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29

Sigma Bonds

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30

Figure 9.19

The Orbitals for CO2

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31

PCl5

• 5 e- pairs requires a geometry of

trigonal bipyramidal.

• Requires dsp3 hybridization.

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32

Figure 9.21

A Set of dsp3 Hybrid Orbitals on a Phosphorus Atom

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33

Each Cl is surrounded by 4 e- pairs.

They require sp3 hybridization.

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34

Figure 9.22

(a) The Structure of the PCl5 Molecule (b) The Orbitals Used to Form the Bonds in PCl5

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35

SF6

• 6 e- pairs requires a geometry of

octahedral.

• Requires d2sp3 hybridization.

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36

Figure 9.23An Octahedral Set of d2sp3 Orbitals on a Sulfur Atom

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37

The Localized Electron Model

Draw the Lewis structure(s)

Determine the arrangement of electron pairs (VSEPR model).

Specify the necessary hybrid orbitals.

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