An algebraic description of screw dislocations in SC and BCC crystal lattices

2016/05/31 by Hiroyasu Hamada, Shigeki Matsutani, Hamada, Hiroyasu +7
Chemistry · Materials Science · Physics and Astronomy · #Advanced Physical and Chemical Molecular Interactions #Algebraic Geometry (math.AG) #Algebraic Topology (math.AT) #Block Copolymer Self-Assembly #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Statistical Mechanics (cond-mat.stat-mech) #Theoretical and Computational Physics

paper · pdf · doi:10.48550/arxiv.1605.09550

openalex publication_date 2016/05/31 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We give an algebraic description of screw dislocations in a crystal, especially simple cubic (SC) and body centered cubic (BCC) crystals, using free abelian groups and fibering structures. We also show that the strain energy of a screw dislocation based on the spring model is expressed by the Epstein-Hurwitz zeta function approximately.

Citations

• Harmonic Mappings of Riemannian Manifolds

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