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 Na2CdSnS4 (Materials Project id mp-561075)

        36       16       18        0       -1        0  
        16       19       16        0        0        0  
        18       16       36        0        1        0  
         0        0        0       15        0        0  
        -1        0        1        0       10        0  
         0        0        0        0        0       15  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 21.222 GPaEV = 27.555 GPaGV = 10.733 GPaνV = 0.2836
ReussKR = 18.357 GPaER = 21.887 GPaGR = 8.4098 GPaνR = 0.30129
HillKH = 19.79 GPaEH = 24.728 GPaGH = 9.5716 GPaνH = 0.29174

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
7.8949 GPa 9.7574 GPa 15 GPa 15 GPa 18.243 GPa 65.105 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 9.5185 GPa 32.349 GPa 5.8366 TPa–1 42.802 TPa–1 4.6377 GPa 15 GPa-0.157870.74067Value
Anisotropy 3.399 7.3333 3.234Anisotropy
Axis 0.0000
1.0000
0.0000
0.7416
0.5283
-0.4135
0.3827
0.0000
0.9239
0.0000
1.0000
0.0000
-0.6802
0.7071
-0.1932
0.2832
-0.0000
-0.9591
-0.6976
0.6885
-0.1982
-0.8734
0.0000
0.4869
Axis
-0.6802
-0.7071
-0.1932
0.0000
1.0000
-0.0000
-0.6623
-0.7252
-0.1882
0.0000
-1.0000
0.0000
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