Compressional Wave Attenuation along 〈111〉 Direction in Pure and Doped n-Type Silicon

Mason and Bateman's theoretical formula for Grüneisen modes is a function of the second- and third-order elastic constants. The formula has been used to evaluate ultrasonic attenuation suffered by compressional wave propagating along 〈111〉 direction, in pure and n-type silicon doped with 2 × 10¹⁹ phosphorus atoms per unit volume. The attenuation is attributed to phonon viscosity mechanism and thermoelastic causes at room temperature. The present theoretical results are very near to previous experimental results.