Phys. Rev. 169, 758–766 (1968)Relationship between the Macroscopic and Microscopic Theory of Crystal Elasticity. II. Nonprimitive CrystalsReceived 9 February 1967; revised 5 January 1968; published in the issue dated May 1968 A recent microscopic elasticity formalism is generalized to nonprimitive, nonpiezoelectric crystals, and extended to treat long-range electrostatic interactions explicitly. Its relationship with the macroscopic theory of crystal elasticity is established for this type of crystal up to, and including, third order. The long-range Coulomb interactions are treated in a convenient new way in this theory, which involves readily convergent lattice sums. The problem of rotational invariance and noncentral nearest-neighbor forces is considered, and an explanation of the disagreements encountered in the literature is proposed. © 1968 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRev.169.758
DOI:
10.1103/PhysRev.169.758
PACS:
See AlsoSee Also: P. N. Keating, Relationship between the Macroscopic and Microscopic Theory of Crystal Elasticity. I. Primitive Crystals, Phys. Rev. 152, 774 (1966). |
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