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Chemical Bonding and Molecular Geometry: Study Notes for General Chemistry

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Chemical Bonding I: Lewis Structures and Molecular Shapes

Bonding Theories and Their Importance

Bonding theories explain how and why atoms attach together to form molecules, and why some combinations are stable while others are not. These theories are essential for predicting molecular shapes and the chemical and physical properties of compounds.

  • Key Point: Bonding theories help simulate drug interactions by predicting molecular shapes.

  • Example: Morphine mimics endorphins due to similar molecular shape, allowing it to bind to opioid receptors.

Lewis Bonding Theory

The Lewis theory is a foundational model that emphasizes valence electrons to explain chemical bonding. It predicts molecular stability, shape, size, and polarity.

  • Key Point: Atoms bond to lower their potential energy, considering nucleus-to-nucleus repulsions, electron-to-electron repulsions, and nucleus-to-electron attractions.

Types of Chemical Bonds and Bond Polarity

Classification of Bonds

Bonds are classified based on the types of atoms involved and the nature of electron sharing or transfer.

  • Pure Covalent Bonds: Electrons are shared equally between atoms.

  • Polar Covalent Bonds: Electrons are shared unequally, resulting in partial charges.

  • Ionic Bonds: Electrons are transferred from one atom to another, creating ions.

Bond polarity arises when the sharing of electrons is unequal, producing a dipole with partial positive and negative ends.

The continuum of bond types: pure covalent, polar covalent, and ionic

Electronegativity

Electronegativity is the ability of an atom to attract electrons in a chemical bond. It increases across a period and decreases down a group. Fluorine is the most electronegative element, while francium is the least.

  • Key Point: The larger the difference in electronegativity, the more polar the bond.

Periodic table showing trends in electronegativity

Bond Dipole Moments

A dipole moment measures bond polarity and is proportional to the size of partial charges and the distance between them. It is measured in Debyes (D).

Dipole moment in HF moleculeElectron density distribution in a polar bond

Percent Ionic Character

The percent ionic character compares a bond’s measured dipole moment to what it would be if electrons were completely transferred. It indicates the degree of electron transfer.

Percent ionic character vs. electronegativity difference

Writing Lewis Structures

Steps for Writing Lewis Structures

Lewis structures predict the distribution of valence electrons in a molecule and are useful for understanding bonding and molecular shapes.

  1. Write the correct skeletal structure, placing the less electronegative atom at the center.

  2. Determine the total number of valence electrons.

  3. Distribute electrons to give octets (or duets for hydrogen) to as many atoms as possible.

  4. If any atoms lack an octet, form double or triple bonds as necessary.

  5. Check that the total number of electrons matches the calculated value.

Forming double bonds in Lewis structures

Lewis Structures for Polyatomic Ions

For polyatomic ions, adjust the total electron count for the ion’s charge and enclose the structure in brackets with the charge indicated.

Calculating electrons for polyatomic ionsLewis structure for ammonium ionBracketed Lewis structure for ammonium ion

Resonance and Formal Charge

Resonance Structures

Resonance occurs when two or more valid Lewis structures can be drawn for the same compound, differing only in electron positions. The actual molecule is a resonance hybrid, intermediate between the contributing structures.

Resonance hybrid structure analogyCalculating electrons for nitrate ionResonance structures for nitrate ionResonance structures and space-filling model for nitrate ion

Rules for Resonance Structures

  • Resonance structures must have the same connectivity; only electron positions change.

  • Second-row elements have a maximum of eight electrons; third-row can have expanded octets.

  • Formal charges must sum to the net charge.

  • More stable structures have fewer and smaller formal charges, with negative charges on more electronegative atoms.

Formal Charge Calculation

Formal charge helps distinguish between competing skeletal or resonance structures. It is calculated as:

Exceptions to the Octet Rule

Odd-Electron Species (Radicals)

Some molecules or ions have an odd number of electrons and cannot satisfy the octet rule. These are called free radicals and are typically unstable and reactive.

Incomplete Octets

Some elements, such as hydrogen and boron, prefer fewer than eight electrons. Hydrogen accommodates only two electrons (duet), and boron often prefers six.

Lewis structures for BF3 and BH3 showing incomplete octets

Expanded Octets

Nonmetals in the third period and below can have more than eight electrons around the central atom, using empty valence d orbitals.

Bond Energies and Bond Lengths

Bond Energies

Bond energy is the amount of energy required to break one mole of a bond in the gaseous state. The more electrons two atoms share, the stronger the bond. Shorter bonds are generally stronger.

Bond Lengths

Bond length is the distance between the nuclei of bonded atoms. Triple bonds are shorter than double bonds, which are shorter than single bonds.

Bond lengths for F2, Cl2, Br2, and I2

VSEPR Theory and Molecular Geometry

Valence Shell Electron Pair Repulsion (VSEPR) Theory

VSEPR theory states that electron groups around a central atom will be most stable when they are as far apart as possible, determining the shape and bond angles in a molecule.

VSEPR theory: electron groups and repulsions

Electron Group Geometry

There are five basic arrangements of electron groups: linear, trigonal planar, tetrahedral, trigonal bipyramidal, and octahedral.

Linear Geometry

Two electron groups around the central atom result in a linear geometry with a bond angle of 180°.

Linear geometry: BeCl2Linear geometry: CO2

Trigonal Planar Geometry

Three electron groups form a trigonal planar geometry with bond angles of 120°.

Trigonal planar geometry: BF3

Tetrahedral Geometry

Four electron groups form a tetrahedral geometry with bond angles of 109.5°.

Tetrahedral geometry: CH4

Trigonal Bipyramidal Geometry

Five electron groups form a trigonal bipyramidal geometry with bond angles of 90° and 120°.

Trigonal bipyramidal geometry: PCl5

Octahedral Geometry

Six electron groups form an octahedral geometry with bond angles of 90°.

Effect of Lone Pairs on Molecular Structure

Lone pairs occupy more space than bonding pairs, causing bond angles to be smaller than ideal. This leads to derivatives of basic geometries, such as bent and trigonal pyramidal shapes.

Polarity of Molecules

Determining Molecular Polarity

A molecule is polar if it contains polar bonds and the bond dipole moments do not cancel due to the molecular shape.

  • Key Point: Vector addition of dipole moments determines if a molecule is polar or nonpolar.

Polar molecule: HClNonpolar molecule: CO2Polar molecule: H2O

Vector Addition of Dipole Moments

Dipole moments are vectors; their sum determines the overall polarity of the molecule. If vectors cancel, the molecule is nonpolar; if they add to a net dipole, the molecule is polar.

Geometry

Bond Dipoles

Polarity

Linear (CO2)

Opposite directions

Nonpolar

Bent (H2O)

Angle less than 180°

Polar

Tetrahedral (CH4)

Symmetrical

Nonpolar

Trigonal pyramidal (NH3)

Not symmetrical

Polar

Summary Table: Electron and Molecular Geometries

Electron Groups

Electron Geometry

Molecular Geometry

Bond Angle

2

Linear

Linear

180°

3

Trigonal planar

Trigonal planar / Bent

120° / <120°

4

Tetrahedral

Tetrahedral / Trigonal pyramidal / Bent

109.5° / <109.5°

5

Trigonal bipyramidal

Trigonal bipyramidal / Seesaw / T-shaped / Linear

90°, 120°, 180°

6

Octahedral

Octahedral / Square pyramidal / Square planar

90°, 180°

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