STUDY OF PHONON DISPERSION-RELATIONS IN CUPROUS-OXIDE BY INELASTIC NEUTRON-SCATTERING
STUDY OF PHONON DISPERSION-RELATIONS IN CUPROUS-OXIDE BY INELASTIC NEUTRON-SCATTERING
复制标题
DOI：
10.1103/physrevb.13.1728
复制
发表时间：
1976-01-01
影响因子：
3.7
通讯作者：
SHAPIRO, SM
中科院分区：
文献类型：
--
作者：
BEG, MM;SHAPIRO, SM
用非弹性中子散射方法研究了20 ℃下Cu 2 O中的声子色散关系.在立方晶格的三个对称方向[00 <$]、[000 <$0]和[000 <$]上详细研究了7个声学分支和12个光学分支。六个带心声子中的四个已经被观测到，它们的能量和归属被确认为：Γ 25= 87±2 cm− 1，Γ 12′= 105±3 cm− 1，Γ 15= 146±1 cm− 1，和Γ 2′ = 347 cm− 1。色散关系同意只有定性与刚性离子模型计算。建议根据目前的测量结果进行更详细的计算。由声支斜率求得的弹性常数为c11 = 12.61±0.12，c44 = 1.36±0.04，c12 = 10.86±1.14（单位为1011 dyn/cm 2），与声回波法所得结果基本一致。
Phonon dispersion relations in Cu 2 O have been studied at 20 C using inelastic neutron scattering. Seven acoustic branches and twelve optical branches have been studied in detail in the three symmetry directions [00 ζ],[ζ ζ 0], and [ζ ζ ζ] of the cubic lattice. Four of the six zone-center phonons have been observed and the assignments and energies are confirmed as Γ 25= 87±2 cm− 1, Γ 12′= 105±3 cm− 1, Γ 15= 146±1 cm− 1, and Γ 2′≈ 347 cm− 1. The dispersion relations agree only qualitatively with the rigid-ion-model calculations. It is suggested that more detailed calculations may be performed in the light of the present measurements. The elastic constants obtained from the slopes of the acoustic branches are (units of 10 11 dyn/cm 2) c 11= 12.61±0.12, c 44= 1.36±0.04, and c 12= 10.86±1.14, which are in close agreement with those obtained by the sound-echo technique.