Elastic Constants of Mercury Selenide

Abstract

The elastic constants of mercury selenide from 4.2 to 300 K have been determined from 10-MHz soundvelocity measurements utilizing the pulse-echo technique. The constants en, en, and cu range from 6.900 X10 11 , 5.105X10 11 , and 2.3073X10 11 dyn/cm 2 , respectively, at 0 K to 5.950X10 11 , 4.307X10 11 , and 2.2015 X10 11 dyn/cm 2 , respectively, at 300 K. The shear modulus C, = 0.899X10 U dyn/cm 2 , compressibility £ el = 1.753X 10~1 2 cm 2 /dyn, and the low-temperature limit of the Debye characteristic temperature O 0 el = 151 K are deduced from values of the elastic constants at 0 K obtained by extrapolation. The reststrahlen frequency as given by the Szigeti relation is 5.12X10 13 Hz. From theoretical and empirical relations, the ionicity of HgSe is estimated to be e*/e=0.7dz0.l. The behavior of the elastic constants and the ionicity of HgSe are compared with the characteristics of other II-VI compounds that have the zinc-blende crystal structure.

Lattice Dynamics of Cubic Mercury Sulphide

“…The values of c11 and c44 can be directly estimated with a reasonable accuracy from TA and LA dispersion along [001] direction. Table shows the comparison of the low-temperature values of c 1 1 and c44 for β-HgS with the literature data taken for HgSe [9,10], HgTe (see [11] and the references therein) and the theoretical predictions for β-HgS given in [12]. As one can see, the estimated experimental values of selected elastic constants for β-HgS agree well with the data for other mercury chalcogenides.…”

Structural phase transition and elastic properties of mercury chalcogenides

“…The calculated values of aggregate second order elastic constants, bulk modulus (B T ), tetragonal moduli (C S ) the pressure derivatives of aggregate second order elastic constants (dB T /dP, dC 44 /dP and dC S /dP) are given in Table 2, well satisfied the above elastic stability criteria and are also compared with available other experimental [3e8, 26,27] and theoretical studies [21e31,44]. The deviations might be ascribed to the extension of the covalent and zero point motion effects.…”

Electrical, optical, and thermodynamical aspects of sound propagation in HgTe, HgSe, Hg1−xMnxSe, and MnZn spinel ferrites

“…[2][3][4][5][6][7] Starting from the macroscopic equation for homogenous media: (1) After averaging over orientation directions, one obtains (2) (3) C i iklm [⌬ iklm (r)] are generalized moduli of elasticity that depend on the crystal-lattice orientation, i.e., on coordinates; ⌬ iklm (r) is a tensor function determined by the crystal anisotropy; u i is a component of a complex displacement vector that also depends on coordinates and orientation; and S iklm is a tensor of generalized elastic constants. These relations can be adapted to polycrystalline materials with random grain orientation using an appropriate averaging procedure.…”