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 Nb2CrSe4 (Materials Project id mp-7443)

       120       49       47        0       -2        0  
        49      159       40        0       11        0  
        47       40      136        0        4        0  
         0        0        0       45        0       11  
        -2       11        4        0       58        0  
         0        0        0       11        0       44  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 76.333 GPaEV = 119.05 GPaGV = 48 GPaνV = 0.24007
ReussKR = 75.465 GPaER = 113.37 GPaGR = 45.36 GPaνR = 0.24963
HillKH = 75.899 GPaEH = 116.21 GPaGH = 46.68 GPaνH = 0.2448

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
33.489 GPa 55.14 GPa 55.511 GPa 79.011 GPa 107.98 GPa 230.87 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 93.758 GPa 141.89 GPa 3.6446 TPa–1 5.2841 TPa–1 33.489 GPa 59.589 GPa0.10920.41977Value
Anisotropy 1.513 1.4498 1.779 3.8442Anisotropy
Axis -0.9942
-0.0000
-0.1074
0.4477
0.7721
0.4511
0.0000
1.0000
0.0000
-0.8664
-0.0000
0.4993
0.7230
-0.0000
-0.6909
0.1562
0.5133
-0.8438
0.8277
0.3909
-0.4026
0.7023
0.6514
-0.2871
Axis
-0.0000
1.0000
-0.0001
-0.8339
0.5264
0.1659
-0.5466
0.3993
-0.7361
-0.4219
0.7058
0.5691
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