Schwarzenbach Dieter, Birkedal Henrik, Hostettler Marc, Fischer Peter
Laboratory of Crystallography, Ecole Polytechnique Fédérale, Le Cubotron, CH-1015 Lausanne, Switzerland.
Acta Crystallogr B. 2007 Dec;63(Pt 6):828-35. doi: 10.1107/S0108768107043327. Epub 2007 Nov 9.
The structure of, and anisotropic thermal motions in, the red semiconductor tetrahedral layer structure of HgI(2) have been studied with neutron powder diffraction as a function of temperature from 10 to 293 K. Average thermal displacement parameters U(eq) of the two atoms are comparable in size at 10 K, but U(eq)(Hg) increases considerably faster with temperature than U(eq)(I), the Hg-I bond being highly non-rigid. The anisotropic displacement tensor U(I) is strongly anisotropic with one term about twice as large as the others, while U(Hg) is nearly isotropic. All displacement tensor elements, except U(22)(I), increase faster with temperature than harmonic quantum oscillator curves indicating a softening of the isolated-atom potentials at large amplitudes. A lattice dynamical model provides arguments that the anisotropic thermal motions of I are dominated by a soft mode with a wavevector at the [(1/2) (1/2) 0] boundary of the Brillouin zone consisting essentially of coupled librations of the HgI(4) tetrahedra, and by translations of the entire layer. The large vibration amplitudes of Hg suggest weak Hg-I force constants compared with the I-I force constants, allowing Hg to move quite freely inside the tetrahedra. The libration mode induces dynamic deformations of the Hg-I bond with twice its frequency. This provides a mechanism for the anharmonicity and may explain the lightening of the color from red to orange upon cooling at ca 80 K.
利用中子粉末衍射研究了红色半导体HgI₂四面体层结构在10至293 K温度范围内的结构及各向异性热运动。两种原子的平均热位移参数U(eq)在10 K时大小相当,但U(eq)(Hg)随温度升高的速度比U(eq)(I)快得多,Hg - I键具有高度非刚性。各向异性位移张量U(I)具有很强的各向异性,其中一项约为其他项的两倍,而U(Hg)几乎是各向同性的。除U(22)(I)外,所有位移张量元素随温度升高的速度都比简谐振子曲线快,这表明在大振幅下孤立原子势发生了软化。晶格动力学模型表明,I的各向异性热运动主要由布里渊区[(1/2) (1/2) 0]边界处的一个软模主导,该软模主要由HgI₄四面体的耦合摆动以及整个层的平移组成。Hg的大振动振幅表明,与I - I力常数相比,Hg - I力常数较弱,使得Hg在四面体内部能够相当自由地移动。摆动模式会以其两倍的频率引起Hg - I键的动态变形。这为非谐性提供了一种机制,并且可能解释了在约80 K冷却时颜色从红色变为橙色的现象。