Equations for transforming elastic and piezoelectric constants of crystals

Theory of Plane Elastic Waves in a Piezoelectric Crystalline Medium and Determination of Elastic and Piezoelectric Constants of Quartz

that this condition prevailed except for the possibility of ions being trapped in the lattice. An additional electrometer placed in the circuit showed that the trapping probability is (0.2+0 in the energy range over which measurements were made (300—1200 ev). Retarding potentials show that both ion and electron energy distributions are of the order of a few ev; hence small bias potentials are s...

Apparent elastic constants of cubic crystals and their pressure derivatives

Expressions for the pressure-dependent apparent elastic constants of cubic crystals are derived in terms of their original secondand third-order elastic constants. New expressions are obtained for the apparent compliances and their pressure derivatives. Results are shown to be in agreement with those based on the apparent elastic moduli. ( 1998 Elsevier Science Ltd. All rights reserved.

Displacement field and elastic constants in nonideal crystals

In this work a periodic crystal with point defects is described in the framework of linear-response theory for broken-symmetry states using correlation functions and Zwanzig-Mori equations. The main results are microscopic expressions for the elastic constants and for the coarse-grained density, point-defect density, and displacement field, which are valid in real crystals, where vacancies and ...

Elastic Constants and Displacement Fields in Crystals with Point Defects

Elastic Constants of Nematic Liquid Crystals of Uniaxial Symmetry

We study in detail the influence of molecular interactions on the Frank elastic constants of uniaxial nematic liquid crystals composed of molecules of cylindrical symmetry. A brief summary of the status of theoretical development for the elastic constants of nematics is presented. Considering a pair potential having both repulsive and attractive parts numerical calculations are reported for thr...