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 CdSnSb2 (Materials Project id mp-10063)

        52       29       28        0        0        0  
        29       52       28        0        0        0  
        28       28       51        0        0        0  
         0        0        0       24        0        0  
         0        0        0        0       24        0  
         0        0        0        0        0       23  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 36.111 GPaEV = 48.205 GPaGV = 18.867 GPaνV = 0.27752
ReussKR = 36.099 GPaER = 43.545 GPaGR = 16.761 GPaνR = 0.29896
HillKH = 36.105 GPaEH = 45.894 GPaGH = 17.814 GPaνH = 0.28814

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
23 GPa 23 GPa 23.656 GPa 24 GPa 24 GPa 108.34 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 31.557 GPa 58.248 GPa 8.9739 TPa–1 9.7542 TPa–1 11.745 GPa 24 GPa0.00269620.54696Value
Anisotropy 1.846 1.0870 2.043202.8631Anisotropy
Axis 1.0000
0.0000
0.0000
-0.5768
0.5768
0.5785
0.6931
0.7209
-0.0000
0.0000
0.0000
1.0000
0.7071
-0.0002
0.7071
-0.0000
0.0000
1.0000
0.7071
-0.0003
0.7071
0.7192
-0.0001
0.6948
Axis
0.7071
-0.0006
-0.7071
-0.7660
0.6428
-0.0000
0.7071
-0.0005
-0.7071
0.0001
1.0000
0.0001
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