Solid State Physics

4.

Crystal Binding and Elastic Properties

4.1.

Cohesive Energy

4.1.1.

Definition and Measurement

4.1.2.

Born-Haber Cycle

4.1.3.

Sublimation Energy

4.1.4.

Calculation Methods

4.2.

Van der Waals Crystals

4.2.1.

London Dispersion Forces

4.2.1.1.

Origin in Quantum Mechanics

4.2.1.2.

Distance Dependence

4.2.1.3.

Lennard-Jones Potential

4.2.2.

Repulsive Interactions

4.2.2.1.

Pauli Exclusion Principle

4.2.2.2.

4.2.3.

Equilibrium Properties

4.2.3.1.

Lattice Parameter

4.2.3.2.

4.2.3.3.

Cohesive Energy

4.3.

4.3.1.

Coulomb Interactions

4.3.1.1.

Electrostatic Energy

4.3.1.2.

Madelung Constant

4.3.1.2.1.

Calculation Methods

4.3.1.2.2.

Values for Common Structures

4.3.2.

Born-Landé Equation

4.3.2.1.

4.3.2.2.

Compressibility Relation

4.3.3.

Kapustinskii Equation

4.3.4.

Born-Mayer Potential

4.4.

Covalent Crystals

4.4.1.

Directional Bonding

4.4.2.

Tetrahedral Coordination

4.4.3.

Bond Strength and Length

4.4.4.

Elastic Properties

4.5.

Metallic Crystals

4.5.1.

Electron Gas Model

4.5.2.

Pseudopotential Theory

4.5.3.

Cohesive Energy Calculation

4.6.

Elastic Properties

4.6.1.

Stress and Strain

4.6.1.1.

4.6.1.2.

4.6.1.3.

Generalized Hooke's Law

4.6.2.

Elastic Constants

4.6.2.1.

Stiffness Constants

4.6.2.2.

Compliance Constants

4.6.2.3.

Symmetry Relations

4.6.3.

4.6.3.1.

Young's Modulus

4.6.3.2.

4.6.3.3.

4.6.3.4.

Poisson's Ratio

4.6.4.

4.6.4.1.

Longitudinal Waves

4.6.4.2.

Transverse Waves

4.6.4.3.

Sound Velocities

4.6.4.4.

Elastic Wave Propagation

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5. Lattice Dynamics and Phonons