ELATE: Elastic tensor analysis

Welcome to ELATE, the online tool for analysis of elastic tensors, developed by Romain Gaillac and Fran├žois-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 Cs2Mn3S4 (Materials Project id mp-2884)

        42       17       19        0        0        0  
        17       36       12        0        0        0  
        19       12       43        0        0        0  
         0        0        0        8        0        0  
         0        0        0        0       17        0  
         0        0        0        0        0       12  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 24.111 GPaEV = 31.464 GPaGV = 12.267 GPaνV = 0.28251
ReussKR = 23.679 GPaER = 29.61 GPaGR = 11.462 GPaνR = 0.29159
HillKH = 23.895 GPaEH = 30.539 GPaGH = 11.865 GPaνH = 0.28699

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
8 GPa 12 GPa 17 GPa 20.655 GPa 27.415 GPa 72.93 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 22.051 GPa 40.607 GPa 10.194 TPa–1 18.427 TPa–1 8 GPa 17 GPa0.112470.47115Value
Anisotropy 1.842 1.8076 2.125 4.1891Anisotropy
Axis -0.0000
0.7430
0.6693
0.6495
0.0000
0.7604
1.0000
0.0000
0.0000
0.0000
1.0000
0.0000
0.0002
0.0001
1.0000
0.0000
0.0000
1.0000
0.6923
0.4623
-0.5541
0.6990
0.4927
-0.5184
Axis
-0.0000
1.0000
-0.0001
-1.0000
0.0000
0.0000
-0.7188
0.3747
-0.5856
-0.1004
0.7852
0.6110
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