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 CaCdSn (Materials Project id mp-568695)

        72       25       27        0        0        0  
        25       72       27        0        0        0  
        27       27       74        0        0        0  
         0        0        0       30        0        0  
         0        0        0        0       30        0  
         0        0        0        0        0       23  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 41.778 GPaEV = 64.325 GPaGV = 25.867 GPaνV = 0.24339
ReussKR = 41.752 GPaER = 63.441 GPaGR = 25.443 GPaνR = 0.24675
HillKH = 41.765 GPaEH = 63.883 GPaGH = 25.655 GPaνH = 0.24507

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
23 GPa 30 GPa 30 GPa 45.622 GPa 47 GPa 125.38 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 57.676 GPa 69.019 GPa 7.5175 TPa–1 8.2168 TPa–1 22.864 GPa 30 GPa0.145690.31452Value
Anisotropy 1.197 1.0930 1.312 2.1589Anisotropy
Axis 0.7071
0.7071
0.0000
0.7019
-0.0000
0.7123
0.0000
0.0000
1.0000
0.3827
0.9239
0.0000
0.4998
0.5002
0.7071
0.0000
0.0000
1.0000
-0.5016
0.5015
-0.7049
0.4653
0.4653
0.7530
Axis
0.5002
0.4999
-0.7071
0.7660
0.6428
-0.0000
0.4983
-0.4986
-0.7093
-0.7071
0.7071
-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