Abstract
General equations for the elastic constants associated with a crystal model in which the energy is given by two-body atom-atom interactions and volume-dependent terms are derived for monatomic solids. It is shown that noncentral interactions which require a choice of initial coordinate system do not necessarily give rise to an energy function which is invariant to homogeneous rotations. For central two-body forces, generalized Cauchy relations are defined. Explicit applications of these equations are given for short-ranged central forces in an hcp lattice and noncentral forces in the fcc lattice.
Keywords
Monatomic ionPhysicsCentral forceCauchy distributionLattice (music)Atom (system on chip)Lattice constantLattice energyClassical mechanicsCrystal structureQuantum mechanicsMathematical analysisMathematicsChemistryDiffraction
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Publication Info
- Year
- 1972
- Type
- article
- Volume
- 6
- Issue
- 6
- Pages
- 2094-2100
- Citations
- 210
- Access
- Closed
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Cite This
R. A. Johnson
(1972).
Relationship between Two-Body Interatomic Potentials in a Lattice Model and Elastic Constants.
Physical review. B, Solid state
, 6
(6)
, 2094-2100.
https://doi.org/10.1103/physrevb.6.2094
Identifiers
- DOI
- 10.1103/physrevb.6.2094