Solid Solutions of the Alkali Halides. II. The Theoretical Calculation of Lattice Constants, Heats of Mixing, and Distributions between Solid and Aqueous Phases

1951 ◽  
Vol 19 (2) ◽  
pp. 149-156 ◽  
Author(s):  
George S. Durham ◽  
Janet A. Hawkins
1955 ◽  
Vol 59 (6) ◽  
pp. 561-563 ◽  
Author(s):  
George S. Durham ◽  
Leroy Alexander ◽  
Douglas T. Pitman ◽  
Helen Golob ◽  
Harold P. Klug

1974 ◽  
Vol 29 (8) ◽  
pp. 1202-1205 ◽  
Author(s):  
Silvano Romano ◽  
Chiara Margheritis ◽  
Cesare Sinistri

Values at different temperatures of lattice constants and their derivatives with respect to T. and of elastic constants were used to obtain the derivatives with respect to the minimum interionic distance of the repulsive potentials for the crystals CsCl, CsBr, ClI, NaCl, KCl and KBr. The derivatives thus calculated were then subjected to a computer fitting to yield the aij and b constants of the interionic repulsive pair potential: Rφij = aij exp{ - brij}.


1968 ◽  
Vol 24 (2) ◽  
pp. 356-362 ◽  
Author(s):  
Nobukata Nagasawa ◽  
Hideyuki Nakagawa ◽  
Yoshio Nakai

2014 ◽  
Vol 28 (17) ◽  
pp. 1430009 ◽  
Author(s):  
R. I. Eglitis

In this paper, the review of recent results of calculations of surface relaxations, energetics, and bonding properties for ABO 3 perovskite (001), (011) and (111) surfaces using mostly a hybrid description of exchange and correlation is presented. Both AO and BO 2-terminations of the nonpolar (001) surface and A , BO , and O terminations of the polar (011) surface, as well as B and AO 3-terminations of the polar (111) surface were considered. On the AO -terminated (001) surface, all upper-layer A atoms relax inwards, while all second layer atoms relax outwards. For the BO 2-terminated (001) surface, in most cases, the largest relaxations are on the second-layer metal atoms. For almost all ABO 3 perovskites, the surface rumpling is much larger for the AO -terminated than for the BO 2-terminated (001) surface, but their surface energies are always quite similar. In contrast, different terminations of the (011) ABO 3 surface lead to very different surface energies for the O -terminated, A -terminated, and BO -terminated (011) surface, respectively. A considerable increase in the Ti – O or Zr – O , respectively, chemical bond covalency near the (011) surface as compared both to the bulk and to the (001) surface in ABO 3 perovskites were predicted. According to the results of ab initio calculations for Nb doped SrTiO 3, Nb is a shallow donor; six nearest O ions are slightly displaced outwards from the Nb ion. The F center in ABO 3 perovskites resembles electron defects in the partially-covalent SiO 2 crystal rather than usual F centers in ionic crystals like MgO and alkali halides. The results of calculations for several perovskite KNb x Ta 1-x O 3 (KTN) solid solutions, as well as hole and electron polarons in ABO 3 perovskites are analyzed.


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