2011
DOI: 10.1051/sfn/201112007
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Introduction to the theory of lattice dynamics

Abstract: Abstract. We review the theory of lattice dynamics, starting from a simple model with two atoms in the unit cell and generalising to the standard formalism used by the scientific community today. The key component of the theory is the force between atoms, and we discuss how this can be computed from empirical or quantum mechanical models. The basic model is developed to link the amplitudes of vibrations to thermodynamics. The major method for measuring lattice dynamics is inelastic scattering of beams of neutr… Show more

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Cited by 29 publications
(7 citation statements)
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“…After equilibration, for the three systems composed each of only tautomer A, tautomer B, or tautomer C, a 1 ns production run was performed in order to produce an MD trajectory used to compute the total static structure factor S ( Q ) from the following equation: where ρ Q is the density correlator: and the sum is over all the atoms α of the system. b α and r α are the coherent scattering length and the position of the α atom, respectively.…”
Section: Experimental and Simulation Detailsmentioning
confidence: 99%
“…After equilibration, for the three systems composed each of only tautomer A, tautomer B, or tautomer C, a 1 ns production run was performed in order to produce an MD trajectory used to compute the total static structure factor S ( Q ) from the following equation: where ρ Q is the density correlator: and the sum is over all the atoms α of the system. b α and r α are the coherent scattering length and the position of the α atom, respectively.…”
Section: Experimental and Simulation Detailsmentioning
confidence: 99%
“…In addition, the LA phonon modes are of higher frequency than the TA branches for k → 0 along all directions of k , which is another indicator for elasticity stability conditions. [ 34 ]…”
Section: Resultsmentioning
confidence: 99%
“…The supercell method is another approach to calculate harmonic FC. In this approach, harmonic FCs are estimated from the first-order numerical derivative of the atomic forces [125]. It is the basis to investigate the lattice dynamics and thermodynamics of weak anharmonic materials.…”
Section: Phonon Calculations With Harmonic Approximationmentioning
confidence: 99%