On the stability of crystal lattices IX. Covariant theory of lattice deformations and the stability of some hexagonal lattices

1942/01/01 by Max Born · 2 citations
Engineering · #Elasticity and Material Modeling

paper · doi:10.1017/s0305004100022246

openalex publication_date 1942/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/05/21

Abstract

The theory of lattice deformations is presented in a new form, using the tensor calculus. The case of central forces is worked out in detail, and the results are applied to some simple hexagonal lattices. It is shown that the Bravais hexagonal lattice is unstable but the close-packed hexagonal lattice stable. The elastic constants of this lattice are calculated.

Citations

• On the stability of crystal lattices. I

Cited by

• The thermodynamics of crystal lattices
• Bibliography of Max Born [wikipedia]