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 V2Cd2O7 (Materials Project id mp-18740)

       120       74       71        0       11        0  
        74      111       72        0       16        0  
        71       72      119        0        4        0  
         0        0        0       38        0        4  
        11       16        4        0       30        0  
         0        0        0        4        0       23  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 87.111 GPaEV = 73.579 GPaGV = 27.067 GPaνV = 0.35922
ReussKR = 83.081 GPaER = 67.495 GPaGR = 24.731 GPaνR = 0.3646
HillKH = 85.096 GPaEH = 70.54 GPaGH = 25.899 GPaνH = 0.36184

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
22 GPa 24.523 GPa 39 GPa 42.378 GPa 50.349 GPa 262.75 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 51.472 GPa 93.178 GPa 1.2291 TPa–1 5.7336 TPa–1 17.568 GPa 39 GPa0.129790.68847Value
Anisotropy 1.81 4.6649 2.22 5.3046Anisotropy
Axis 0.0000
1.0000
0.0000
0.3659
0.6775
0.6381
0.6777
0.0000
0.7353
-0.7353
0.0000
0.6777
0.3956
0.7071
0.5861
0.2425
0.0002
0.9701
0.0730
0.6798
-0.7297
0.8058
-0.0002
0.5921
Axis
-0.3957
0.7071
-0.5861
0.0003
1.0000
-0.0003
-0.1124
-0.7214
-0.6833
0.0002
1.0000
-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