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

Abstract

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.

Keywords

• Crystal lattice
• Screw dislocation
• Topological defect
• Monodromy
• Group ring of abelian group
• Dislocation energy