ELATE: Elastic tensor analysis

Welcome to ELATE, the online tool for analysis of elastic tensors, developed by Romain Gaillac and François-Xavier Coudert at CNRS / Chimie ParisTech.
If you use the software in published results (paper, conference, etc.), please cite the corresponding paper (J. Phys. Condens. Matter, 2016, 28, 275201) and give the website URL.

ELATE is open source software. Any queries or comments are welcome at

Summary of the properties

Input: stiffness matrix (coefficients in GPa) of Rb2MnBr4 (Materials Project id mp-27263)

        30       15       16        0        0        0  
        15       30       16        0        0        0  
        16       16       33        0        0        0  
         0        0        0        5        0        0  
         0        0        0        0        5        0  
         0        0        0        0        0        9

Average properties

Averaging scheme	Bulk modulus	Young's modulus	Shear modulus	Poisson's ratio
Voigt	K_V = 20.778 GPa	E_V = 18.556 GPa	G_V = 6.8667 GPa	ν_V = 0.35116
Reuss	K_R = 20.702 GPa	E_R = 17.583 GPa	G_R = 6.4719 GPa	ν_R = 0.35844
Hill	K_H = 20.74 GPa	E_H = 18.071 GPa	G_H = 6.6693 GPa	ν_H = 0.35478

Eigenvalues of the stiffness matrix

λ₁	λ₂	λ₃	λ₄	λ₅	λ₆
5 GPa	5 GPa	9 GPa	15 GPa	15.591 GPa	62.409 GPa

Variations of the elastic moduli

	Young's modulus		Linear compressibility		Shear modulus		Poisson's ratio
	E_min	E_max	β_min	β_max	G_min	G_max	ν_min	ν_max
Value	15.158 GPa	22.354 GPa	13.361 TPa^–1	17.472 TPa^–1	5 GPa	9 GPa	0.20423	0.54989	Value
Anisotropy	1.475		1.3077		1.8		2.6925		Anisotropy
Axis	0.7271 -0.0000 0.6866	0.7071 0.7071 0.0000	0.0000 0.0000 1.0000	1.0000 0.0000 0.0000	0.0000 0.0000 1.0000	1.0000 -0.0002 0.0000	-0.5792 0.5792 0.5737	0.5060 0.5060 0.6985	Axis
					-0.7660 0.6428 -0.0000	0.0002 1.0000 0.0000	-0.7071 -0.7071 -0.0000	-0.4939 -0.4939 0.7156	Second axis

Spatial dependence of Young's modulus

Young's modulus in (xy) plane

Young's modulus in (xz) plane

Young's modulus in (yz) plane

Spatial dependence of linear compressibility

linear compressibility in (xy) plane

linear compressibility in (xz) plane

linear compressibility in (yz) plane

Spatial dependence of shear modulus

Shear modulus in (xy) plane

Shear modulus in (xz) plane

Shear modulus in (yz) plane

Spatial dependence of Poisson's ratio

Poisson's ratio in (xy) plane

Poisson's ratio in (xz) plane

Poisson's ratio in (yz) plane