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Chapter 9 - VSEPR

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Bonding and Molecular Structure - PART 1 - <strong>VSEPR</strong><br />

Objectives:<br />

1. Understand and become proficient at using <strong>VSEPR</strong> to predict the<br />

geometries of simple molecules and ions.<br />

2. Become proficient at predicting bond angles and polarity of simple<br />

molecules.<br />

The basis of this model is that valence electrons arrange themselves around a central atom<br />

in such a way as to minimize repulsions.<br />

Valence electrons are considered to be localized into regions called electron domains.<br />

(Some textbooks use the term electron groups rather than electron domains.)<br />

An electron domain around an atom is:<br />

a single bond,<br />

a double bond,<br />

a triple bond,<br />

a lone pair, or<br />

a lone electron (recall that free radicals contain unpaired electrons).<br />

The best arrangement of a given number of electron domains is the one that minimizes the<br />

electrostatic repulsions between them.<br />

Molecular Geometries and Bonding Theory 1<br />

ELECTRON Geometries Predicted by <strong>VSEPR</strong><br />

Valence Shell Electron Pair Repulsion predicts the following molecular<br />

geometries around a central atom.<br />

These are the FIVE BASE ELECTRON GEOMETRIES.<br />

These 5 geometries minimize the<br />

repulsions between the electron<br />

domains on each central atom.<br />

These Last two 2 geometries requiring an Expanded Octet<br />

Molecular Geometries and Bonding Theory 2


Example Electron Domain Geometry - Tetrahedral<br />

From the Lewis Structure we can count<br />

electron domains around the central atom.<br />

The number of electron domains<br />

determines the basic arrangement of the<br />

electron domains around the central atom.<br />

In this case four electron domains (4 single<br />

bonds) gives the tetrahedral geometry<br />

with bond angles of 109.5°<br />

To determine the geometry around a<br />

central atom you must first be able to draw<br />

the LEWIS STRUCTURE!<br />

Tetrahedral<br />

Molecular Geometries and Bonding Theory 3<br />

Details of the 5 Base Electron Domain Geometries from<br />

<strong>VSEPR</strong><br />

Bond angles are the angles made by the lines<br />

joining the nuclei of the atoms in a molecule.<br />

Each of the five basic geometries has specific<br />

bond angles associated with it that you must<br />

memorize (see Table 9.1). These “ideal” bond<br />

angles may be distorted by certain conditions as<br />

we shall see later.<br />

Molecular Geometries and Bonding Theory 4


The MOLECULAR GEOMETRY describes the spatial arrangement of ATOMS<br />

around a central atom. This is a subset of the ELECTRON GEOMETRY<br />

The arrangement of electron domains about a central atom is called the electron-domain<br />

geometry (or electron-group geometry) as previously discussed.<br />

The molecular geometry is the arrangement of only the atoms in a molecule or<br />

polyatomic ion.<br />

All Electron Domains counted<br />

Molecular Geometries and Bonding Theory 5<br />

Molecular Geometries and Bonding Theory 6<br />

Only Bonds counted,<br />

lone pairs ignored<br />

Details of Molecular Geometries Derived from Linear and<br />

Trigonal Planar Electron Domain Geometries


Details of Molecular Geometries Derived from a<br />

Tetrahedral Electron Domain Geometry<br />

Molecular Geometries and Bonding Theory 7<br />

Details of Molecular Geometries Derived from a Trigonal<br />

Bipyramidal Electron Domain Geometry<br />

Molecular Geometries and Bonding Theory 8


Details of Molecular Geometries Derived from an<br />

Octahedral Electron Domain Geometry<br />

Molecular Geometries and Bonding Theory 9<br />

<strong>VSEPR</strong> Bond Angle Detail #1:<br />

Lone Pairs and Slight Changes to Bond Angles<br />

Lone pairs on a central atom will cause the bonding groups to move closer<br />

together, decreasing the bond angle. Lone pairs occupy more space and<br />

are more repulsive than bonding pairs.<br />

Decrease in bond angle as lone pairs are added<br />

Molecular Geometries and Bonding Theory 10<br />

Less<br />

repulsive<br />

More<br />

repulsive


<strong>VSEPR</strong> Bond Angle Detail #2:<br />

Double Bonds Change Bond Angles<br />

A double bond on a central atom cause adjacent single bonding groups to move closer<br />

together, decreasing the bond angle between them. Double bonds occupy more space and<br />

are more repulsive than single bonds.<br />

Give It Some Thought<br />

One of the resonance structures of the nitrate ion, NO 3– , is<br />

The bond angles in this ion are exactly 120°. Is this<br />

observation consistent with the above discussion of the<br />

effect of multiple bonds on bond angles<br />

Conclusion for Repulsive Energies:<br />

Lone Pair > Double Bond > Single Bond > Single e –<br />

Molecular Geometries and Bonding Theory 11<br />

More <strong>VSEPR</strong> Details:<br />

5 Electron Groups and Axial vs. Equatorial Positions<br />

When we form the trigonal bipyramidal electron domain<br />

geometry we have inequivalent bonding positions, axial<br />

and equatorial.<br />

Lone pairs prefer the equatorial positions since they<br />

minimize the strong 90° repulsions for the lone pairs.<br />

Seesaw Geometry<br />

Equatorial<br />

lone pairs<br />

Molecular Geometries and Bonding Theory 12<br />

1 lone pair<br />

2 lone pairs<br />

3 lone pairs


Geometries of Larger Molecules<br />

The <strong>VSEPR</strong> model can be extended to consider every central<br />

atom in a more complex, larger molecule.<br />

Consider Acetic Acid:<br />

Molecular Geometries and Bonding Theory 13<br />

Molecular Geometries of Complex Molecules - DNA<br />

Molecular Geometries and Bonding Theory 14


Dipole Moments and Polar Molecules<br />

Many molecules are polar. They have a dipole moment and will align<br />

themselves in an applied electric field.<br />

Polar molecule<br />

No alignment<br />

Alignment<br />

Molecular Geometries and Bonding Theory 15<br />

Dipole Moments for Polyatomic Molecules<br />

For a molecule that consists of more than two atoms (a polyatomic molecule), the<br />

dipole moment depends upon both the individual bond polarities and the molecular<br />

geometry.<br />

• Bond dipoles and dipole moments are vector quantities; that is they have both a<br />

magnitude and a direction.<br />

• The overall dipole moment of a polyatomic molecule is the vector sum of the bond<br />

dipoles. Both the magnitudes and the directions of the bond dipoles must be considered.<br />

(Molecular Geometry analysis is necessary!)<br />

• It is possible to have a nonpolar molecule that contains polar bonds if the polar bond<br />

dipoles are arranged in such a way as to “cancel” each other.<br />

Molecular Geometries and Bonding Theory 16


Dipole Moment Depends on Bond Polarity and Electron Geometry<br />

To have a dipole moment a molecule must have:<br />

1. Polar bonds and/or lone pairs.<br />

2. A molecular geometry where the polar bonds/lone pairs do not<br />

cancel.<br />

Polar bonds cancel Polar bonds do not cancel<br />

Molecular Geometries and Bonding Theory 17<br />

Polarity of Some Molecules<br />

Give It Some Thought<br />

The molecule OCS has a Lewis structure analogous to that of CO 2 and is a linear molecule.<br />

Will it necessarily have a zero dipole moment like CO 2?<br />

Molecular Geometries and Bonding Theory 18


Polarity of Molecules<br />

Dipole Moments of Some Molecules<br />

Molecular Geometries and Bonding Theory 19<br />

Predicting Electron Domain Geometries, Molecular Geometries, Bond<br />

Angles and Dipole Moments<br />

We can generalize the steps we follow in using the <strong>VSEPR</strong> model to predict the electron<br />

domain geometries, molecular geometries, bond angles and dipole moments. Use the<br />

<strong>VSEPR</strong> worksheet to guide you as you learn this process.<br />

1. Draw the Lewis structure of the molecule or ion, and count the total number of electron domains around the<br />

central atom. Each nonbonding electron pair, each single bond, each double bond, and each triple bond counts<br />

as an electron domain.<br />

2. Determine the electron-domain geometry by arranging the electron domains about the central atom so that the<br />

repulsions among them are minimized, as shown in Table 9.1.<br />

3. Use the arrangement of the bonded atoms to determine the molecular geometry as shown in Tables 9.2 and 9.3.<br />

4. Look at the arrangement and types of electron domains. Predict if any bond angles will vary from their “ideal<br />

values”.<br />

5. Determine if the molecule has a net dipole moment. Use the flow diagram on the <strong>VSEPR</strong> worksheet. Note: Since<br />

IONS have a nonzero charge, dipole moments do not apply.<br />

Molecular Geometries and Bonding Theory 20


Problem 1: Acrolein<br />

1. Give the molecular geometry around each central atom.<br />

2. Identify all bonds as polar or nonpolar.<br />

3. Does this molecule have a net dipole moment?<br />

Molecular Geometries and Bonding Theory 21<br />

Problem 2: Acetonitrile<br />

1. Give the molecular geometry around each central atom.<br />

2. State the indicated bond angles.<br />

3. Identify all bonds as polar or nonpolar.<br />

4. Does this molecule have a net dipole moment?<br />

Molecular Geometries and Bonding Theory 22


Problems<br />

Text question 9.3: An AB 5 molecule adopts the geometry shown to the right.<br />

(a) What is the name of this geometry?<br />

(b) Do you think there are any nonbonding electron pairs on atom A? Why or why<br />

not?<br />

(c) Suppose the atoms B are halogen atoms. Can you determine uniquely to<br />

which group in the periodic table atom A belongs?<br />

Text question 9.18: The AB 3 molecule is described as having a trigonal-bipyramidal electron-domain<br />

geometry. How many nonbonding domains are on atom A? Explain<br />

Molecular Geometries and Bonding Theory 23<br />

Problems<br />

Text question 9.28: The three species NH 2 − , NH3 , and NH 4 + , have H–N–H bond angles of 105°, 107°,<br />

and 109°, respectively. Explain this variation in bond angles.<br />

Additional Question: Dichloroethylene (C 2 H 2 Cl 2 ) has three forms (isomers), each of which is a different<br />

substance. A pure sample of one of these substances is found experimentally to have a dipole<br />

moment of zero. Can we identify which of the three isomers was used?<br />

Molecular Geometries and Bonding Theory<br />

23 24

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