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 Ba2MgH6 (Materials Project id mp-643370)

        83       15       19       -8        0        0  
        15       83       19        8        0        0  
        19       19       70        0        0        0  
        -8        8        0       29        0        0  
         0        0        0        0       29       -8  
         0        0        0        0       -8       34

Average properties

Averaging scheme	Bulk modulus	Young's modulus	Shear modulus	Poisson's ratio
Voigt	K_V = 38 GPa	E_V = 72.373 GPa	G_V = 30.6 GPa	ν_V = 0.18257
Reuss	K_R = 37.889 GPa	E_R = 68.873 GPa	G_R = 28.768 GPa	ν_R = 0.19704
Hill	K_H = 37.944 GPa	E_H = 70.633 GPa	G_H = 29.684 GPa	ν_H = 0.18975

Eigenvalues of the stiffness matrix

λ₁	λ₂	λ₃	λ₄	λ₅	λ₆
23.118 GPa	25.956 GPa	39.882 GPa	53.701 GPa	71.044 GPa	114.3 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	57.597 GPa	87.48 GPa	8.3089 TPa^–1	9.7752 TPa^–1	23.118 GPa	39.882 GPa	0.030178	0.35732	Value
Anisotropy	1.519		1.1765		1.725		11.8403		Anisotropy
Axis	0.6878 0.3971 0.6076	-0.0000 0.9121 0.4099	-0.8492 0.5281 0.0000	0.0000 0.0000 1.0000	-0.0000 0.5924 0.8057	-0.5000 0.8660 -0.0000	-0.5000 0.8660 0.0000	-0.5000 0.8660 -0.0000	Axis
					-1.0000 0.0000 -0.0000	-0.6978 -0.4028 -0.5923	-0.6738 -0.3890 0.6283	-0.5441 -0.3141 -0.7780	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