HARMONIC AND ANHARMONIC PROPERTIES OF SILICON

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Abstract
Silicon has interesting harmonic and anharmonic properties such as the low-lying transverse acoustic modes at the X and L points of the Brillouin zone, negative Gruneisen parameters, negative thermal expansion and anomalous acoustic attenuation. In an attempt to understand these properties, we have developed a lattice dynamical model for silicon employing long-range, non-local, dipole-dipole interactions. Several interesting features of this interaction are found and discussed. We present analytic expressions for the Gruneisen parameters that explain how the negative Gruneisen parameters arise. Application of this model to the calculation of the thermal expansion of silicon is made

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