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VSEPR Theory

Valence Shell Electron Pair Repulsion

Molecular Shapes

Electron Geometry

Bond Angles

Understanding Molecular Structure Through Electron Repulsion

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What is VSEPR Theory?

Definition

Valence Shell Electron Pair Repulsion Theory

Predicts the three-dimensional geometry of molecules based on electron pair repulsion

Historical Background

Proposed by Ronald Gillespie & Ronald Nyholm

In 1957 • Most widely used introductory model

Core Principle

Electron pairs around a central atom arrange themselves to minimize repulsion

Electron Pairs

Repel each other

Maximum Distance

Adopt positions far apart

Molecular Shape

Determines 3D geometry

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Key Postulates of VSEPR Theory

1

Electron Pair Repulsion

All electron pairs repel and arrange to maximize distance

2

Repulsion Strength Order

LP-LP > LP-BP > BP-BP

Lone pairs repel more than bonding pairs

3

Multiple Bonds

Double or triple bonds count as one electron domain

Higher electron density → greater repulsion

4

Electronegativity Effects

More electronegative substituents pull electron density away

Reduced repulsion → compressed bond angles

5

Central Atom Size

Smaller central atoms bring bonding pairs closer together → increased repulsion → compressed bond angles

Maximize Distance

Minimize Repulsion

Predict Geometry

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Essential Terminology

Electron Domain

Any region of electron density around the central atom

Single bond

Double bond

Triple bond

Lone pair

Steric Number (SN)

Total electron domains around central atom

SN = Bonding domains + Lone pairs

Electron Geometry

Arrangement of all electron domains (including lone pairs)

Determines overall spatial arrangement

Molecular Geometry

Arrangement of atoms only (lone pairs excluded from name)

Shows actual molecular shape

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How to Determine Molecular Shape

1

Lewis Structure

Draw the complete Lewis structure showing all bonds and lone pairs

2

Count Domains

Count electron domains around the central atom

3

Steric Number

Calculate Steric Number (SN) to determine electron geometry

4

Lone Pairs

Identify lone pairs to determine molecular geometry

5

Bond Angles

Predict bond angles considering lone pair repulsion effects

Key Principle

Lone pairs compress bond angles more than bonding pairs

Remember

Each step builds on the previous one for accurate prediction

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Steric Numbers 2 & 3

Linear

SN = 2

Molecular Structure

X

A

X

Bond Angle

180°

Lone Pairs

0

Geometry

Linear

Examples:

BeCl₂

CO₂

HCN

Trigonal Planar

SN = 3

0 Lone Pairs

X

A

X

Bond Angle: 120°

BF₃, SO₃

1 Lone Pair

X

A

:

Bond Angle: <120°

SO₂, O₃ (Bent)

Lone pair compresses bond angle from ideal 120°

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Steric Number 4: Tetrahedral

Tetrahedral

Lone Pairs

0

Bond Angle

109.5°

Examples:

CH₄

CCl₄

SiH₄

Trigonal Pyramidal

Lone Pairs

1

Bond Angle

~107°

Examples:

NH₃

PCl₃

PH₃

Bent (V-shaped)

Lone Pairs

2

Bond Angle

~104.5°

Examples:

H₂O

H₂S

OF₂

Lone Pair Compression Effect

Each lone pair compresses bond angles by approximately 2–2.5° from the ideal tetrahedral angle of 109.5°

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Steric Number 5: Trigonal Bipyramidal

Trigonal Bipyramidal

0 Lone Pairs

90° / 120°

Example:

PCl₅

Seesaw

1 Lone Pair

~90° / ~120°

Example:

SF₄

T-shaped

2 Lone Pairs

~90°

Example:

ClF₃

Linear

3 Lone Pairs

180°

Examples:

XeF₂

I₃⁻

Axial vs Equatorial Positions

Axial (2)

180° to each other, 90° to equatorial

Equatorial (3)

120° to each other, 90° to axial

Key Rule

Lone pairs always occupy equatorial positions to minimize repulsion (fewer 90° close contacts)

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Steric Number 6: Octahedral

Octahedral

90°

Lone Pairs

0

All positions equivalent

Example:

SF₆

Square Pyramidal

~90°

Lone Pairs

1

One lone pair

Examples:

BrF₅

IF₅

Square Planar

90°

Lone Pairs

2

Trans positions

Examples:

XeF₄

ICl₄⁻

Key Principle

All six positions are equivalent in octahedral geometry

Lone Pair Positioning

Two lone pairs prefer trans positions (180° apart) to maximize separation

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Lone Pairs: The Invisible Architects

Why Lone Pairs Repel More

Lone pairs attracted to one nucleus only

Spread over wider cone of space

Bonding pairs constrained by two nuclei

Compression Effect

Lone pairs push bonding pairs closer together

Each lone pair compresses angles by ~2–2.5°

Lone pairs excluded from molecular geometry name

Tetrahedral Series: Bond Angle Compression

CH₄

109.5°

0 Lone Pairs

Baseline

NH₃

107°

1 Lone Pair

−2.5°

H₂O

104.5°

2 Lone Pairs

−5°

Key Insight

Each lone pair adds ~2–2.5° compression

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Multiple Bonds & Electronegativity

Multiple Bond Effects

Repulsion Strength

Triple > Double > Single

Example: Formaldehyde (H₂C=O)

∠H–C–H

≈ 116°

Compressed

∠H–C=O

≈ 122°

Expanded

Electronegativity Effects

More electronegative substituents pull electron density away from central atom

Bonding pairs repel less → angles compress

Comparison: NH₃ vs NF₃

NH₃

107.3°

NF₃

102.1°

N–F bonds pull electron density → reduced repulsion

Multiple Bonds

Act as one domain but carry more electron density

Electronegativity

Higher electronegativity reduces bonding pair repulsion

Combined Effects

Multiple factors can work together to compress angles

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Geometry Determines Polarity

Nonpolar Molecules

Symmetric geometry with no lone pairs

Bond dipoles cancel out

No net dipole moment

CO₂

Linear

BF₃

Trig. Planar

SF₆

Octahedral

Polar Molecules

Lone pairs present or asymmetric geometry

Bond dipoles do not cancel

Net dipole moment present

H₂O

Bent

NH₃

Trig. Pyramidal

CHCl₃

Tetrahedral*

Molecular Polarity Summary

CO₂

Linear

Nonpolar

H₂O

Bent

Polar

BF₃

Trig. Planar

Nonpolar

NH₃

Trig. Pyramidal

Polar

CH₄

Tetrahedral

Nonpolar

XeF₄

Square Planar

Nonpolar

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Applying VSEPR Theory

CO₂

Central Atom

C

Steric Number

2

Lone Pairs

0

Geometry

Linear

180°

SO₂

Central Atom

S

Steric Number

3

Lone Pairs

1

Geometry

Bent

~119°

NH₃

Central Atom

N

Steric Number

4

Lone Pairs

1

Geometry

Trig. Pyramidal

~107°

ClF₃

Central Atom

Cl

Steric Number

5

Lone Pairs

2

Geometry

T-shaped

~87.5°

XeF₄

Central Atom

Xe

Steric Number

6

Lone Pairs

2

Geometry

Square Planar

90°

Key Insight

Each molecule's geometry is determined by its steric number and number of lone pairs on the central atom

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Scope & Practical Use

Limitations

Transition Metal Complexes

Fails here; Crystal Field Theory required

Approximate Values

Bond angles are estimated, not precise

Anomalous Cases

Li₂O predicted bent but actually linear

Resonance & Delocalization

Not accounted for by VSEPR theory

Applications

Reactivity Prediction

Shape controls steric accessibility

Molecular Polarity

Determines solubility, boiling points

Drug Design

3D shape crucial for enzyme active sites

Materials Science

Geometry dictates crystal packing

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Key Takeaways

Core Principle

Electron pairs repel and arrange to maximize distance

Steric Number

Determines electron geometry and basic shape

Lone Pairs

Sculpt molecular geometry by compressing bond angles

Bridge to Quantum

Essential qualitative tool for understanding structure

From Simple Principle to Complex Understanding

VSEPR theory delivers powerful molecular predictions from a single idea: electron pairs repel and spread apart