Computation of Mean Debye Temperature of Cubic Crystals from Elastic Constants

作者: S. L. Quimby , Paul M. Sutton

DOI: 10.1103/PHYSREV.91.1122

关键词: Debye functionDebye modelClassical mechanicsCondensed matter physicsPhysicsSolid anglePlane (geometry)Cubic functionCrystalAcoustic waveDebye

摘要: An improved method is presented for computing the mean Debye characteristic temperature of cubic crystals from elastic constants. It based upon an evaluation distribution in solid angle roots equation which describes propagation plane acoustic waves crystal, and otherwise employs a device due to Hopf Lechner. The end result given simple closed expressions present no computational difficulty. uncertainty computed value approximation made order 0.1 percent when anisotropy factor crystal as large 4.

参考文章(4)
Milo A. Durand, The Temperature Variation of the Elastic Moduli of NaCl, KCl and MgO Physical Review. ,vol. 50, pp. 449- 455 ,(1936) , 10.1103/PHYSREV.50.449
H. Röhl, Die elastischen Eigenschaften von Gold–Silber-Einkristallen Annalen der Physik. ,vol. 408, pp. 887- 906 ,(1933) , 10.1002/ANDP.19334080803
Carl Runge, Graphical Methods Columbia University Press. ,(1912) , 10.7312/RUNG91344