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 ZnCdTe2 (Materials Project id mp-971837)

        52       30       31        0        0        0  
        30       52       31        0        0        0  
        31       31       52        0        0        0  
         0        0        0       24        0        0  
         0        0        0        0       24        0  
         0        0        0        0        0       27  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 37.778 GPaEV = 49.402 GPaGV = 19.267 GPaνV = 0.28205
ReussKR = 37.774 GPaER = 42.591 GPaGR = 16.23 GPaνR = 0.31208
HillKH = 37.776 GPaEH = 46.036 GPaGH = 17.749 GPaνH = 0.29689

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
20.664 GPa 22 GPa 24 GPa 24 GPa 27 GPa 113.34 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 28.561 GPa 61.327 GPa 8.5397 TPa–1 8.9667 TPa–1 10.492 GPa 27 GPa-0.0904850.6501Value
Anisotropy 2.147 1.0500 2.573Anisotropy
Axis 0.0000
0.0000
1.0000
0.5841
0.5841
0.5636
0.0000
0.0000
1.0000
1.0000
0.0000
0.0000
0.7071
-0.0003
0.7071
1.0000
-0.0000
-0.0000
0.7071
0.7071
-0.0000
0.7071
0.7071
-0.0000
Axis
0.7071
-0.0005
-0.7071
0.0000
1.0000
-0.0000
-0.7071
0.7071
-0.0000
0.0005
-0.0005
-1.0000
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