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 Cu2SnSe3 (Materials Project id mp-11658)

        96       35       35        0        0        0  
        35       91       39        0        8        0  
        35       39       91        0       -9        0  
         0        0        0       26        0        8  
         0        8       -9        0       19        0  
         0        0        0        8        0       18  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 55.111 GPaEV = 62.568 GPaGV = 23.867 GPaνV = 0.31078
ReussKR = 55.103 GPaER = 53.793 GPaGR = 20.112 GPaνR = 0.3373
HillKH = 55.107 GPaEH = 58.224 GPaGH = 21.99 GPaνH = 0.32391

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
13.056 GPa 15.08 GPa 30.944 GPa 55.911 GPa 60.671 GPa 165.34 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 36.585 GPa 79.813 GPa 5.8581 TPa–1 6.2675 TPa–1 13.056 GPa 31.506 GPa-0.0193240.65545Value
Anisotropy 2.182 1.0699 2.413Anisotropy
Axis -0.5934
0.7022
0.3934
-0.3280
0.0000
0.9447
0.8369
-0.0000
-0.5473
0.5473
-0.0000
0.8369
-0.8506
-0.0000
0.5258
-0.5470
0.7247
0.4190
-0.0175
0.4934
0.8697
0.8137
-0.0001
-0.5812
Axis
0.0000
-1.0000
0.0000
-0.0908
-0.5490
0.8309
-0.7980
0.5171
-0.3095
-0.5812
0.0000
-0.8137
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