Lattice dynamics of calcium fluoride by an angular force model

Pramana ◽  
1977 ◽  
Vol 8 (5) ◽  
pp. 408-416 ◽  
Author(s):  
K K Chopra ◽  
B Dayal
Keyword(s):  
Calcium Fluoride ◽  
Lattice Dynamics ◽  
Force Model

Three body force model for lattice dynamics of copper

1986 ◽  
Vol 57 (8) ◽  
pp. 559-562 ◽  
Author(s):  
H. Nait-Laziz ◽  
K.K. Chopra
Keyword(s):  
Lattice Dynamics ◽  
Body Force ◽  
Force Model ◽  
Three Body

Lattice dynamics of ZnTe, CdTe, GaP, and InP

1980 ◽  
Vol 58 (3) ◽  
pp. 351-358 ◽  
Author(s):  
M. S. Kushwaha ◽  
S. S. Kushwaha
Keyword(s):  
Lattice Dynamics ◽  
Present Model ◽  
Phonon Dispersion ◽  
Model Parameters ◽  
Force Model ◽  
Phonon Dispersion Curves ◽  
Bending Force ◽  
Zinc Blende ◽  
Bond Bending ◽  
Good Agreement

An eight-parameter bond-bending force model (BBFM), recently developed by us for zinc-blende (ZB) structure, has been used to study the lattice dynamics of other compounds of the II–VI and III–V groups. The model parameters were calculated using six critical point phonon frequencies, two elastic constants, and the lattice equilibrium condition. Phonon dispersion curves, phonon density of states, and Debye-characteristic temperatures have been calculated. The comparison of theoretical and the available experimental results reveals a fairly good agreement. The merits and demerits of the present model have been discussed in full.

Lattice dynamics and thermal conductivity of calcium fluoride via first-principles investigation

2016 ◽  
Vol 119 (9) ◽  
pp. 095103 ◽  
Author(s):  
Yuan-Yuan Qi ◽  
Tian Zhang ◽  
Yan Cheng ◽  
Xiang-Rong Chen ◽  
Dong-Qing Wei ◽  
...  
Keyword(s):  
Thermal Conductivity ◽  
First Principles ◽  
Calcium Fluoride ◽  
Lattice Dynamics

Study of the Lattice Dynamics of Magnesium by an Electron Force Model

1965 ◽  
Vol 9 (2) ◽  
pp. 379-383 ◽  
Author(s):  
R. P. Gupta ◽  
B. Dayal
Keyword(s):  
Lattice Dynamics ◽  
Force Model

ON THE THERMAL EXPANSION OF METALS AT LOW TEMPERATURES

1961 ◽  
Vol 39 (2) ◽  
pp. 263-271 ◽  
Author(s):  
G. K. Horton
Keyword(s):  
Thermal Expansion ◽  
Elastic Constants ◽  
Lattice Dynamics ◽  
Nearest Neighbor ◽  
Force Constants ◽  
Central Force ◽  
Force Model ◽  
Lattice Thermal Expansion ◽  
Interionic Potential ◽  
The Ideal

A theory is developed which correlates the thermal expansion of crystals to the anharmonicity introduced into Born's lattice dynamics by allowing the force constants of the crystal to vary with volume. This is achieved by identifying the force constants with the elastic constants of the crystal by the method of long waves. It is then assumed that it is primarily the volume dependence of the elastic constants that give rise to their temperature variation. A central force nearest and next-nearest neighbor force model analogous to Leighton's is applied to copper. The values of the lattice thermal expansion coefficient and of Grüneisen's parameter are given as a function of the temperature and found to agree quite well with the latest experimental results. It is pointed out that the description of the interionic potential in metals by a two-body central force is certainly a serious oversimplification and that the theory is likely to be more realistic for, say, the ideal inert solid gases, as soon as the experimental data becomes available.

Noncentral force model for the lattice dynamics of cubic metals

1979 ◽  
Vol 19 (4) ◽  
pp. 1963-1971 ◽  
Author(s):  
P. K. Sharma ◽  
R. K. Awasthi
Keyword(s):  
Lattice Dynamics ◽  
Force Model ◽  
Cubic Metals
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