scholarly journals Force Constants of the Metaborate Ion in Alkali Halides

1972 ◽  
Vol 56 (10) ◽  
pp. 5189-5190 ◽  
Author(s):  
J. C. Decius ◽  
C. R. Becker ◽  
W. J. Fredericks
1973 ◽  
Vol 58 (4) ◽  
pp. 1782-1782
Author(s):  
J. C. Decius ◽  
C. R. Becker ◽  
W. J. Fredericks

1976 ◽  
Vol 54 (19) ◽  
pp. 2010-2017
Author(s):  
T. L. Templeton ◽  
B. P. Clayman

The rigid ion model is applied to the calculation of the relaxation of the lattice around single impurities and pairs of impurities in alkali halide host-defect systems. The calculated relaxation of nearest neighbors is typically a few percent of the host crystal lattice constant. Relaxation falls off with increasing distance from the defects. Nearest neighbor force constants derived from this calculation are, in some cases, in good agreement with those obtained by fitting the resonant absorption frequencies of the vibrational modes of these impurity centres to a molecular model. In other cases the extreme anisotropy of the relaxed force constants is seen to prevent the application of a simple molecular model. The calculated force constants, when used in a linear chain model, give good qualitative agreement with experiment.


1979 ◽  
Vol 57 (8) ◽  
pp. 1209-1215
Author(s):  
B. P. Clayman

The relaxation of the crystal lattice around impurity pair defects in alkali halides is calculated based on a rigid ion model. Pairs with tetragonal symmetry—fourth nearest neighbors along the [001] axis—and those with rhombic symmetry—second nearest neighbors along the [110] axis— are both considered, for all cases where experimental evidence exists for resonant or gap modes. These are: NaCl with F−, Li+, and Ag+; KI with Cl−, Br−, Na+, and Rb+; KCl with Na+; and NaBr with Li+. Relaxation spaces with 72 ions (tetragonal) and 50 ions (rhombic) are used and results reported for all ions within the spaces. The nearest neighbor central force constants coupling the impurity ions and their nearest neighbors are calculated in the rigid ion approximation and the results compared with earlier dynamical model calculations. Because the dynamical models assumed that only one perturbed force constant was needed to characterize all the impurity–host interactions, and significant directional inhomogeneity of the force constants was a result of the present calculations, only qualitative comparisions could be made.


1997 ◽  
Vol 92 (3) ◽  
pp. 353-358 ◽  
Author(s):  
S. ARULMOZHIRAJA ◽  
P. KOLANDAIVEL
Keyword(s):  

1973 ◽  
Vol 34 (C9) ◽  
pp. C9-425-C9-430 ◽  
Author(s):  
L. B. HARRIS ◽  
J. L. SCHLEDERER
Keyword(s):  

1976 ◽  
Vol 37 (C7) ◽  
pp. C7-253-C7-259 ◽  
Author(s):  
C. R.A. CATLOW ◽  
J. CORISH ◽  
K. M. DILLER ◽  
P. W.M. JACOBS ◽  
M. J. NORGETT

1976 ◽  
Vol 37 (C7) ◽  
pp. C7-86-C7-86
Author(s):  
M. T. MONTOJO ◽  
F. JAQUE ◽  
C. SÁNCHEZ
Keyword(s):  

1980 ◽  
Vol 41 (C6) ◽  
pp. C6-68-C6-71 ◽  
Author(s):  
J. Corish ◽  
J. M. Quigley ◽  
C. R. A. Catlow ◽  
P. W.M. Jacobs
Keyword(s):  

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