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Chemical Bonding Theories: VSEPR, Molecular Geometry, Polarity, and Hybridization

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Chemical Bonding Theories

5.1 - Introduction: Importance of Molecular Shape

Molecular shape is fundamental to the properties and functions of molecules, especially in biological systems. The three-dimensional arrangement of atoms determines how molecules interact, react, and fit into biological receptors.

  • Lewis Theory: Predicts connectivity and electron arrangement but not 3D shape, does not account for role of orbitals

  • Advanced Theories: VSEPR, Valence Bond Theory, and Molecular Orbital Theory address the limitations of Lewis structures by explaining molecular geometry and bonding at the orbital level.

Molecular shape and enzyme action: hexokinase and glucose

Additional info: The image above illustrates how the shape of an enzyme (hexokinase) and its substrate (glucose) must complement each other for biological activity, emphasizing the importance of molecular geometry.

Valence Shell Electron Pair Repulsion (VSEPR) Theory

Electron Domains and Molecular Geometry

VSEPR theory states that electron groups (regions of electron density) around a central atom arrange themselves to minimize repulsion, determining the molecule's geometry.

  • Electron Group: Any lone pair, single, double, or triple bond counts as one electron group.

  • Steric Number: The total number of electron groups around the central atom.

  • Electron Group Geometry: Arrangement of all electron groups (bonds and lone pairs).

  • Molecular Geometry: Arrangement of only the bonded atoms.

  • Bond Angle: The angle between adjacent bonds, characteristic of each geometry.

Lewis structure with electron domains

VSEPR Notation

  • A: Central atom

  • X: Surrounding atoms

  • E: Lone pairs on the central atom

Base Electron Domain Geometries

  • 2 electron groups: Linear (180°)

  • 3 electron groups: Trigonal planar (120°)

  • 4 electron groups: Tetrahedral (109.5°)

  • 5 electron groups: Trigonal bipyramidal (120° and 90°)

  • 6 electron groups: Octahedral (90°)

Electron Groups

Geometry

Bond Angle

2

Linear

180°

3

Trigonal planar

120°

4

Tetrahedral

109.5°

5

Trigonal bipyramidal

120°, 90°

6

Octahedral

90°

Linear geometry example: CO2Trigonal planar geometry example: BF3Tetrahedral geometry example: CH4Tetrahedron shapeTrigonal bipyramidal geometry example: PCl5Octahedron shapeOctahedral geometry example: SF6

Effect of Lone Pairs on Molecular Geometry

Lone pairs occupy more space than bonding pairs, causing bond angles to decrease and altering the molecular geometry from the base electron group geometry.

  • Trigonal planar (AX3): 120°

  • Bent (AX2E): <120°

  • Tetrahedral (AX4): 109.5°

  • Trigonal pyramidal (AX3E): <109.5°

  • Bent (AX2E2): <109.5°

Bond angle comparison: CH3Cl, NH3, H2OBond angle comparison: CH4, NH3, H2O

Number of Electron Domains

Electron-Domain Geometry

Bonding Domains

Nonbonding Domains

Molecular Geometry

Example

3

Trigonal planar

3

0

Trigonal planar

BF3

3

Trigonal planar

2

1

Bent

NO2-

4

Tetrahedral

4

0

Tetrahedral

CH4

4

Tetrahedral

3

1

Trigonal pyramidal

NH3

4

Tetrahedral

2

2

Bent

H2O

Table: Trigonal planar and bent geometriesTable: Tetrahedral, trigonal pyramidal, and bent geometries

Representing 3D Shapes on Paper

Chemists use different types of lines and wedges to represent three-dimensional molecular structures on two-dimensional paper.

  • Straight line: Bond in the plane of the paper

  • Hatched wedge: Bond going into the page

  • Solid wedge: Bond coming out of the page

3D bond representation: straight line, hatched wedge, solid wedgeTetrahedral geometry with wedgesTrigonal bipyramidal geometry with wedgesBond angle in tetrahedral geometry

Predicting Molecular Polarity

Criteria for Molecular Polarity

A molecule is polar if it contains polar bonds and the arrangement of these bonds is asymmetrical, resulting in a net dipole moment.

  • Draw the Lewis structure and determine the molecular geometry.

  • Determine if the bonds are polar (difference in electronegativity).

  • Assess if the polar bonds add up to a net dipole moment (unsymmetrical shape).

No net dipole moment in CO2Net dipole moment in H2ODipole moment vectors in trigonal planar and tetrahedral moleculesDipole moment vectors in trigonal bipyramidal and octahedral moleculesNet dipole moment in seesaw and square pyramidal molecules

  • Nonpolar molecules: All dipole moments cancel (e.g., CO2, BF3, CCl4, SF6).

  • Polar molecules: Net dipole moment remains (e.g., H2O, NH3, SO2).

Valence Bond Theory and Hybridization

Valence Bond Theory

Valence Bond Theory explains covalent bonding as the overlap of half-filled atomic orbitals from different atoms. The geometry of the molecule is explained by the hybridization of atomic orbitals on the central atom.

  • Hybridization: Mixing of atomic orbitals to form new, equivalent hybrid orbitals oriented for bonding.

  • Types of Hybridization:

    • sp: 2 electron groups (linear, 180°)

    • sp2: 3 electron groups (trigonal planar, 120°)

    • sp3: 4 electron groups (tetrahedral, 109.5°)

    • dsp3 (sp3d): 5 electron groups (trigonal bipyramidal, 120°/90°)

    • d2sp3 (sp3d2): 6 electron groups (octahedral, 90°)

Example: In methane (CH4), the carbon atom undergoes sp3 hybridization, forming four equivalent bonds with hydrogen.

Tetrahedral geometry in methane (CH4)

Sigma (σ) and Pi (π) Bonds

  • Sigma (σ) bonds: End-to-end overlap, all single bonds are sigma bonds.

  • Pi (π) bonds: Side-to-side overlap of parallel p orbitals, present in double and triple bonds.

  • Double bond: 1 σ + 1 π

  • Triple bond: 1 σ + 2 π

Summary Table: VSEPR Geometries and Hybridization

Steric Number

Electron Geometry

Hybridization

Bond Angle

Example

2

Linear

sp

180°

CO2

3

Trigonal planar

sp2

120°

BF3

4

Tetrahedral

sp3

109.5°

CH4

5

Trigonal bipyramidal

sp3d

120°, 90°

PCl5

6

Octahedral

sp3d2

90°

SF6

Key Points and Applications

  • Molecular shape determines physical and chemical properties, including reactivity and biological activity.

  • VSEPR theory allows prediction of molecular geometry based on electron group repulsions.

  • Hybridization explains the observed bond angles and equivalent bonding in molecules.

  • Molecular polarity is determined by both bond polarity and molecular geometry.

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