scholarly journals Maxwell-Boltzmann periodic structures by point defects in ionic crystals

1980 ◽  
Vol 41 (C6) ◽  
pp. C6-496-C6-499
Author(s):  
M. Georgiev ◽  
N. Martinov ◽  
D. Ouroushev
Keyword(s):  
Point Defects ◽  
Periodic Structures ◽  
Ionic Crystals

CALCULATION OF MADELUNG CONSTANT OF VARIOUS IONIC STRUCTURES BASED ON THE SEMISIMPLE LIE ALGEBRAS

1996 ◽  
Vol 10 (11) ◽  
pp. 475-485 ◽  
Author(s):  
M.A. JAFARIZADEH ◽  
F. NAZERI ◽  
A. KESHISHI
Keyword(s):  
Boundary Conditions ◽  
Lie Algebras ◽  
Fundamental Domain ◽  
Dirichlet Boundary ◽  
Periodic Structures ◽  
Dirichlet Boundary Conditions ◽  
Ionic Crystals ◽  
Madelung Constant ◽  
Semisimple Lie Algebras ◽  
Coordination Numbers

Periodic structures are constructed by using semisimple Lie algebras. Then these structures are generalized to ionic structures. Finally Madelung constant of these structures are calculated by solving Poisson equation in the fundamental domain of corresponding Lie algebras with Dirichlet boundary conditions. The obtained results are consistent with data of the ionic crystals with the same coordination numbers as our structures.

Investigations of Microwave Absorption in Insulating Dielectric Ionic Crystals Including the Role of Point Defects and Dislocations

1996 ◽  
Vol 430 ◽  
Author(s):  
Benjamin D.B. Klein ◽  
Binshen Meng ◽  
Samuel A. Freeman ◽  
John H. Booske ◽  
Reid F. Cooper
Keyword(s):  
Theoretical Model ◽  
Single Crystal ◽  
Microwave Absorption ◽  
Point Defects ◽  
Ionic Conduction ◽  
Cavity Resonator ◽  
Preparation Technique ◽  
Ionic Crystals ◽  
Free Case

AbstractA theoretical model of microwave absorption in linear dielectric (non-ferroelectric) ionic crystals that takes into account the presence of point defects was synthesized and verified using NaCl single crystals. In the next stage of this research, we will introduce a controlled density of dislocations into the single crystal NaCl samples and study the effect on the microwave absorption mechanisms (ionic conduction, dielectric relaxation and multi-phonon processes) both theoretically and experimentally. Qualitative outlines of this modified theory are presented. The loss factor ε’ has been measured in the dislocation-free case by a cavity resonator insertion technique and the experimental results are in good agreement with the theoretical model. We describe the sample preparation technique that will be used to produce a controlled dislocation density in single crystal samples that will also be studied in our cavity resonator insertion system.

The volume of formation of point defects in ionic crystals

1988 ◽  
Vol 57 (1) ◽  
pp. 31-33 ◽  
Author(s):  
Sankar P. Sanyal ◽  
Neeta Agnihotri ◽  
R. K. Singh
Keyword(s):  
Point Defects ◽  
Ionic Crystals
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