Relation between Elastic Constants and Second- and Third-Order Force Constants for Face-Centered and Body-Centered Cubic Lattices

1963 ◽  
Vol 129 (1) ◽  
pp. 22-27 ◽  
Author(s):  
Rosemary A. Coldwell-Horsfall
Keyword(s):  
Elastic Constants ◽  
Force Constants ◽  
Body Centered Cubic ◽  
Third Order ◽  
Cubic Lattices ◽  
Face Centered

Zero-Point Effects in Heisenberg Antiferromagnets with Arbitrary Range of Interaction

1972 ◽  
Vol 50 (23) ◽  
pp. 2991-2996 ◽  
Author(s):  
M. F. Collins ◽  
V. K. Tondon
Keyword(s):  
Ground State ◽  
State Energy ◽  
Correction Term ◽  
Zero Point ◽  
Face Centered Cubic ◽  
Heisenberg Antiferromagnet ◽  
Body Centered Cubic ◽  
Cubic Lattices ◽  
Simple Cubic ◽  
Face Centered

The ground state energy, spin-wave energy, and sublattice magnetization have been calculated for a Heisenberg antiferromagnet at the absolute zero of temperature. The treatment extends the earlier work of Anderson, Kubo, and Oguchi to apply for any two-sublattice antiferromagnet with arbitrary range of interaction. It is shown that for each exchange interaction there is a different characteristic correction term to the energies. Explicit calculations are made of these terms for the simple cubic, body-centered cubic, and face-centered cubic lattices, with both first- and second-neighbor interactions. Applications are also made to NiO and MnO. An extra term in the magnetization series beyond that given by earlier workers is derived.

Computer simulation of local atomic displacements in alloys. Application to Guinier–Preston zones in Al–Cu

1994 ◽  
Vol 27 (5) ◽  
pp. 772-781 ◽  
Author(s):  
J. Kyobu ◽  
Y. Murata ◽  
M. Morinaga
Keyword(s):  
Short Range ◽  
Structural Models ◽  
Single Layer ◽  
Face Centered Cubic ◽  
Body Centered Cubic ◽  
Cubic Lattices ◽  
Atomic Displacements ◽  
Cu Alloy ◽  
Combined Use ◽  
Face Centered

A new computer program has been developed for the simulation of local atomic displacements in alloys with face-centered-cubic and body-centered-cubic lattices. The combined use of this program with the Gehlen–Cohen program for the simulation of chemical short-range order completely describes atomic fluctuations in alloys. The method has been applied to the structural simulation of Guinier–Preston (GP) zones in an Al–Cu alloy, using the experimental data of Matsubara & Cohen [Acta Metall. (1985), 33, 1945–1955]. Characteristic displacements of atoms have been observed around the GP zones and new structural models including local displacements have been proposed for a single-layer zone and several multilayer zones.

Voids in Irradiated Tungsten and Molybdenum

1969 ◽  
Vol 27 ◽  
pp. 190-191
Author(s):  
Robert C. Rau ◽  
Robert L. Ladd
Keyword(s):  
Melting Point ◽  
Fast Neutron ◽  
Neutron Irradiation ◽  
Elevated Temperatures ◽  
Irradiation Temperature ◽  
The Body ◽  
Face Centered Cubic ◽  
Body Centered Cubic ◽  
Cubic Metals ◽  
Face Centered

Recent studies have shown the presence of voids in several face-centered cubic metals after neutron irradiation at elevated temperatures. These voids were found when the irradiation temperature was above 0.3 Tm where Tm is the absolute melting point, and were ascribed to the agglomeration of lattice vacancies resulting from fast neutron generated displacement cascades. The present paper reports the existence of similar voids in the body-centered cubic metals tungsten and molybdenum.

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