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 SrSO4 (Materials Project id mp-5285)

       107       46       35        0        0        0  
        46      102       41        0        0        0  
        35       41       84        0        0        0  
         0        0        0       20        0        0  
         0        0        0        0       16        0  
         0        0        0        0        0       34

Average properties

Averaging scheme	Bulk modulus	Young's modulus	Shear modulus	Poisson's ratio
Voigt	K_V = 59.667 GPa	E_V = 66.731 GPa	G_V = 25.4 GPa	ν_V = 0.3136
Reuss	K_R = 58.568 GPa	E_R = 62.033 GPa	G_R = 23.436 GPa	ν_R = 0.32347
Hill	K_H = 59.117 GPa	E_H = 64.389 GPa	G_H = 24.418 GPa	ν_H = 0.31847

Eigenvalues of the stiffness matrix

λ₁	λ₂	λ₃	λ₄	λ₅	λ₆
16 GPa	20 GPa	34 GPa	50.876 GPa	61.679 GPa	180.44 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	47.255 GPa	86.524 GPa	4.5158 TPa^–1	7.6594 TPa^–1	16 GPa	34 GPa	0.17284	0.50447	Value
Anisotropy	1.831		1.6961		2.125		2.9187		Anisotropy
Axis	0.6645 -0.0000 0.7473	0.8084 0.5887 0.0000	0.0000 1.0000 0.0000	0.0000 0.0000 1.0000	0.0000 0.0000 1.0000	1.0000 0.0006 0.0000	-0.5029 0.5997 0.6224	-0.5810 0.5297 0.6180	Axis
					1.0000 0.0000 -0.0000	-0.0006 1.0000 -0.0000	-0.6691 -0.7260 0.1589	-0.5706 0.2764 -0.7733	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