Theory of Lattice Dynamics in the Harmonic Approximation |
Contents
Introduction | 1 |
Surface Vibration Modes | 2 |
The Greens Function for a Crystal Slab | 3 |
Copyright | |
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Common terms and phrases
A. A. Maradudin antiunitary atomic force constants boundary conditions Brillouin zone calculations coefficients correlation functions corresponding critical points Debye defect defined degeneracy determined discussion dispersion curves dispersion relation dynamical matrix eigenvalues eigenvectors elements equations of motion experimental expression frequency spectrum G(w² given by Eq Green's function impurity atom interactions ionic crystals irreducible multiplier representations irreducible representations lattice dynamics linear macroscopic matrices T(k matrix D(k method Montroll nearest neighbor neutron normal mode normal mode frequencies obtain operations T(k optical perturbed phonon Phys point group potential energy properties Q(kj R₁ reciprocal lattice result right hand side scattering side of Eq singularities slab solution space group specific heat spectra symmetry operations temperature theoretical theory tion transformation unit cell unitary unitary matrix values vanishes vibrations wave vector zero αβ Ικα Σ Σ