Table 3 List of non-zero elastic constants and the corresponding number of required deformations for various crystal systems

From: Anisotropic temperature-dependent lattice parameters and elastic constants from first principles

Crystal

Elastic constant

#deform

Cubic

C11, C12, C44

6

Hexagonal

C11, C12, C13, C33, C44

9

Trigonal (Rhombohedral)

C11, C12, C13, C14, C33, C44

10

Tetragonal

C11, C12, C13, C33, C44, C66

11

Orthorhombic

C11, C12, C13, C22, C23, C33, C44, C55, C66

16

Monoclinic

C11, C12, C13, C15, C22, C23, C25, C33, C35, C44, C46, C55, C66

18

Triclinic

Cij7D1fori, j = 1, 2, …, 6

28