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 Ca(CdAs)2 (Materials Project id mp-7067)

        98       35       27       -0        0        0  
        35       98       27        0        0        0  
        27       27       79        0        0        0  
        -0        0        0       26        0        0  
         0        0        0        0       26       -0  
         0        0        0        0       -0       31  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 50.333 GPaEV = 72.983 GPaGV = 29 GPaνV = 0.25833
ReussKR = 49.448 GPaER = 72.113 GPaGR = 28.686 GPaνR = 0.25694
HillKH = 49.891 GPaEH = 72.548 GPaGH = 28.843 GPaνH = 0.25764

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
26 GPa 26 GPa 31 GPa 59.235 GPa 63 GPa 152.77 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 66.028 GPa 81.29 GPa 5.7465 TPa–1 8.7302 TPa–1 26 GPa 31.5 GPa0.203010.29763Value
Anisotropy 1.231 1.5192 1.212 1.4661Anisotropy
Axis 0.3799
0.3799
0.8434
1.0000
0.0000
0.0000
1.0000
0.0000
0.0000
0.0000
0.0000
1.0000
0.0000
0.0000
1.0000
0.7071
0.7071
0.0000
0.0000
0.0000
1.0000
0.7071
0.7071
0.0000
Axis
0.1735
0.9848
-0.0000
-0.7071
0.7071
-0.0000
0.1736
0.9848
-0.0000
-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