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CHEM 131 Chapter 11 Pt. 1: Chemical Bonding II: Molecular Shapes, VSEPR, and Molecular Polarity

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Chemical Bonding II: Molecular Shapes, VSEPR, and Molecular Polarity

Introduction to Molecular Structure and Bonding

The properties of molecular substances are determined by the three-dimensional structure of their molecules. Understanding molecular geometry is essential for predicting reactivity, polarity, and physical properties. This chapter covers the Valence Shell Electron Pair Repulsion (VSEPR) theory, molecular shapes, and the relationship between structure and polarity.

VSEPR Theory and Electron Group Geometry

Basic Principles of VSEPR Theory

  • VSEPR Theory states that electron groups around a central atom arrange themselves to minimize repulsion, resulting in specific molecular geometries.

  • Electron groups include both bonding pairs (single, double, or triple bonds) and lone pairs of electrons.

  • The arrangement of these groups determines the electron group geometry and, ultimately, the molecular geometry.

Electron groups around a central atom

Counting Electron Groups

  • Each lone pair on the central atom counts as one electron group.

  • Each bond (single, double, or triple) also counts as one electron group.

  • Example: In NO2–, the central N atom has three electron groups: one lone pair, one single bond, and one double bond.

Five Basic Electron Group Geometries

  • Linear: 2 electron groups, 180° bond angle

  • Trigonal Planar: 3 electron groups, 120° bond angle

  • Tetrahedral: 4 electron groups, 109.5° bond angle

  • Trigonal Bipyramidal: 5 electron groups, 90° and 120° bond angles

  • Octahedral: 6 electron groups, 90° bond angle

Linear Electron Geometry

When two electron groups are present, they arrange themselves on opposite sides of the central atom, resulting in a linear geometry with a bond angle of 180°.

Linear geometry example: BeCl2 Linear geometry example: CO2

Trigonal Planar Electron Geometry

Three electron groups form a planar triangle around the central atom, with bond angles of 120°.

Lewis structure of BF3 Linear and trigonal planar geometry comparison

Tetrahedral Electron Geometry

Four electron groups arrange themselves in a tetrahedral shape, with bond angles of 109.5°.

Tetrahedral geometry example: CH4

Trigonal Bipyramidal Electron Geometry

Five electron groups form a trigonal bipyramidal geometry, with three equatorial positions (120° apart) and two axial positions (90° from equatorial).

Trigonal bipyramidal geometry example: PCl5

Octahedral Electron Geometry

Six electron groups form an octahedral geometry, with all positions equivalent and bond angles of 90°.

Octahedral geometry example: SF6

Electron Pair Geometry vs. Molecular Geometry

Distinction and Effects of Lone Pairs

  • Electron pair geometry considers all electron groups (bonds and lone pairs).

  • Molecular geometry considers only the positions of atoms (ignoring lone pairs).

  • Lone pairs occupy more space and compress bond angles between atoms, distorting the ideal geometry.

Effect of lone pairs on molecular geometry Bond angle distortion from lone pairs

Examples: Five and Six Electron Groups with Lone Pairs

  • Five electron groups, one lone pair: Seesaw geometry

  • Five electron groups, two lone pairs: T-shaped geometry

  • Five electron groups, three lone pairs: Linear geometry

  • Six electron groups, one lone pair: Square pyramidal geometry

  • Six electron groups, two lone pairs: Square planar geometry

Seesaw geometry example T-shaped geometry example Linear geometry with three lone pairs Square pyramidal geometry example Square planar geometry example

Molecules with Multiple Central Atoms

Assigning Geometries to Each Center

Large molecules may have several interior (central) atoms, each with its own geometry. For example, in glycine (NH2CH2COOH), each non-terminal atom is considered a central atom for geometry assignment.

Glycine structure with four interior atoms Acetic acid structure

Molecular Polarity

Criteria for Molecular Polarity

  • A molecule is polar if it contains polar bonds (difference in electronegativity) and has an unsymmetrical shape, resulting in a net dipole moment.

  • Polarity is determined by vector addition of bond dipoles.

Net dipole moment in H2O No net dipole moment in CO2 Net dipole moment in HCl

Effect of Polarity on Solubility

  • Polar molecules dissolve in polar solvents (like water); nonpolar molecules dissolve in nonpolar solvents (like fats).

  • Some molecules, such as soaps, have both polar and nonpolar regions, allowing them to interact with both types of substances.

Opposite partial charges attract in water molecules

Examples: Vitamin Solubility

  • Vitamin A: Nonpolar, fat-soluble due to many C–C and C–H bonds.

  • Vitamin C: Polar, water-soluble due to multiple O–H bonds capable of hydrogen bonding.

Structure of Vitamin C Structure of Vitamin A

Representing Three-Dimensional Shapes on Paper

3-D Notations and Conventions

  • Central atom is placed in the plane of the paper.

  • Atoms in the plane: straight line; atoms in front: solid wedge; atoms behind: hatched wedge.

Bond notations: straight line, hatched wedge, solid wedge 3-D notations of molecular geometries

Vector Addition in Molecular Polarity

Adding Vectors in One and Multiple Dimensions

  • In one dimension, assign positive and negative directions to add vectors.

  • In two or more dimensions, use the parallelogram method to find the resultant vector.

Vector addition examples Vector addition in one dimension

Using VSEPR to Predict Molecular Geometry and Polarity

Steps for Predicting Geometry

  1. Draw the Lewis structure.

  2. Determine the total number of valence electrons.

  3. Assign electrons to atoms according to the Lewis model.

  4. Count the number of electron groups around the central atom.

  5. Classify each group as bonding or lone pair.

  6. Remember: multiple bonds count as one group.

  7. Use the electron group count to determine geometry and bond angles.

Table of electron and molecular geometries

Steps for Predicting Polarity

  1. Draw the Lewis structure and determine molecular geometry.

  2. Identify polar bonds based on electronegativity differences.

  3. Represent each polar bond as a vector pointing toward the more electronegative atom.

  4. Sum the vectors to determine if a net dipole moment exists.

  5. If the vectors cancel, the molecule is nonpolar; if not, it is polar.

Summary Table: Electron and Molecular Geometries

Electron Groups

Lone Pairs

Electron Geometry

Molecular Geometry

Bond Angles

Example

2

0

Linear

Linear

180°

CO2

3

0

Trigonal Planar

Trigonal Planar

120°

BF3

3

1

Trigonal Planar

Bent

~120°

SO2

4

0

Tetrahedral

Tetrahedral

109.5°

CH4

4

1

Tetrahedral

Trigonal Pyramidal

~107°

NH3

4

2

Tetrahedral

Bent

~104.5°

H2O

5

0

Trigonal Bipyramidal

Trigonal Bipyramidal

90°, 120°

PCl5

5

1

Trigonal Bipyramidal

Seesaw

~90°, ~120°

SF4

5

2

Trigonal Bipyramidal

T-shaped

~90°

ClF3

5

3

Trigonal Bipyramidal

Linear

180°

XeF2

6

0

Octahedral

Octahedral

90°

SF6

6

1

Octahedral

Square Pyramidal

~90°

BrF5

6

2

Octahedral

Square Planar

90°

XeF4

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