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 Cs2CaH4 (Materials Project id mp-697133)

        24       -8       -9        0        0        0  
        -8       24       -9        0        0        0  
        -9       -9       29        0        0        0  
         0        0        0       11        0        0  
         0        0        0        0       11        0  
         0        0        0        0        0       13  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 2.7778 GPaEV = 15.616 GPaGV = 13.867 GPaνV = -0.43694
ReussKR = 2.7455 GPaER = 15.252 GPaGR = 13.283 GPaνR = -0.42588
HillKH = 2.7616 GPaEH = 15.435 GPaGH = 13.575 GPaνH = -0.43149

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
8.2084 GPa 11 GPa 11 GPa 13 GPa 32 GPa 36.792 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 14.417 GPa 18.875 GPa 112.58 TPa–1 125.83 TPa–1 11 GPa 17.539 GPa-0.5625-0.3184Value
Anisotropy 1.309 1.1176 1.594 0.5660Anisotropy
Axis 0.6064
0.6064
0.5143
0.0000
0.0000
1.0000
0.0000
0.0000
1.0000
0.5000
0.8660
0.0000
0.0000
0.0000
1.0000
0.7071
0.0001
-0.7071
-0.0000
-0.0000
1.0000
0.7334
0.0001
-0.6797
Axis
-0.7880
0.6157
-0.0000
-0.7071
-0.0002
-0.7071
0.7585
0.6517
0.0000
-0.6797
-0.0000
-0.7334
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