Abstract

We discuss the principal axes systems of monoclinic and triclinic crystals regarding their elastic properties. Explicit formulas are presented for the orientation of these coordinate systems for monoclinic crystals. In this context, theoretical results from literature on the elastic properties of monoclinic (space group C2/m) gallia and alumina are critically discussed.

Highlights

  • Explicit formulas are presented for the orientation of these coordinate systems for monoclinic crystals

  • For β-Ga2O3 two sets of elastic constants have been determined e­ xperimentally[18,23]. We find it helpful to derive here analytical formulas for the orientation of the principal axes system of elastic deformation (PA-D) and PA-R coordinate systems

  • The spherical angles θ and φ define the rotational transformation of vectors r in the crystal system into vectors r′ in another Cartesian coordinate system

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Summary

Introduction

OPEN The principal axes systems for the elastic properties of monoclinic gallia Marius Grundmann We discuss the principal axes systems of monoclinic and triclinic crystals regarding their elastic properties. Explicit formulas are presented for the orientation of these coordinate systems for monoclinic crystals.

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