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 TlInSe2 (Materials Project id mp-22232)

        69       11       11        0        0        0  
        11       35       14        0        0        0  
        11       14       35        0        0        0  
         0        0        0        9        0        0  
         0        0        0        0        8        0  
         0        0        0        0        0        8

Average properties

Averaging scheme	Bulk modulus	Young's modulus	Shear modulus	Poisson's ratio
Voigt	K_V = 23.444 GPa	E_V = 30.461 GPa	G_V = 11.867 GPa	ν_V = 0.28345
Reuss	K_R = 21.951 GPa	E_R = 25.993 GPa	G_R = 9.9768 GPa	ν_R = 0.30265
Hill	K_H = 22.698 GPa	E_H = 28.236 GPa	G_H = 10.922 GPa	ν_H = 0.29266

Eigenvalues of the stiffness matrix

λ₁	λ₂	λ₃	λ₄	λ₅	λ₆
8 GPa	8 GPa	9 GPa	21 GPa	40.507 GPa	77.493 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	22.124 GPa	64.061 GPa	8.6015 TPa^–1	18.477 TPa^–1	8 GPa	17.416 GPa	0.1007	0.5008	Value
Anisotropy	2.896		2.1481		2.177		4.9733		Anisotropy
Axis	0.5639 0.5840 0.5840	1.0000 0.0000 0.0000	1.0000 0.0000 0.0000	0.0000 0.9659 0.2588	0.0000 0.0000 1.0000	0.7071 -0.0000 -0.7071	0.0000 0.0000 1.0000	0.8015 0.0001 0.5980	Axis
					1.0000 0.0000 -0.0000	-0.7071 0.0002 -0.7071	-1.0000 0.0000 0.0000	0.5980 0.0003 -0.8015	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