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 SmTe (Materials Project id mp-10652)

       129       25       25        0        0        0  
        25      129       25        0        0        0  
        25       25      129        0        0        0  
         0        0        0       30        0        0  
         0        0        0        0       30        0  
         0        0        0        0        0       30

Average properties

Averaging scheme	Bulk modulus	Young's modulus	Shear modulus	Poisson's ratio
Voigt	K_V = 59.667 GPa	E_V = 95.664 GPa	G_V = 38.8 GPa	ν_V = 0.23278
Reuss	K_R = 59.667 GPa	E_R = 90.147 GPa	G_R = 36.111 GPa	ν_R = 0.24819
Hill	K_H = 59.667 GPa	E_H = 92.923 GPa	G_H = 37.456 GPa	ν_H = 0.24044

Eigenvalues of the stiffness matrix

λ₁	λ₂	λ₃	λ₄	λ₅	λ₆
30 GPa	30 GPa	30 GPa	104 GPa	104 GPa	179 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	77.081 GPa	120.88 GPa	5.5866 TPa^–1	5.5866 TPa^–1	30 GPa	52 GPa	0.11383	0.41266	Value
Anisotropy	1.568		1.0000		1.733		3.6253		Anisotropy
Axis	-0.5774 0.5774 0.5773	0.0000 0.0000 1.0000	0.0000 0.0000 1.0000	0.0000 0.0000 1.0000	0.0000 0.0000 1.0000	0.7071 -0.0003 0.7071	0.7071 -0.0000 0.7071	0.7071 -0.0000 -0.7071	Axis
					0.1736 0.9848 -0.0000	0.7071 -0.0005 -0.7071	0.0000 1.0000 0.0000	-0.7071 0.0002 -0.7071	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