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 V5Sb4 (Materials Project id mp-30536)

       142       55       55        0        0        0  
        55      137       86       -2        0        0  
        55       86      137        2        0        0  
         0       -2        2       69        0        0  
         0        0        0        0       73        0  
         0        0        0        0        0       73  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 89.778 GPaEV = 142.49 GPaGV = 57.667 GPaνV = 0.23547
ReussKR = 89.254 GPaER = 124.04 GPaGR = 48.897 GPaνR = 0.26838
HillKH = 89.516 GPaEH = 133.38 GPaGH = 53.282 GPaνH = 0.25166

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
50.566 GPa 69.434 GPa 73 GPa 73 GPa 94.806 GPa 270.19 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 79.296 GPa 169.79 GPa 3.3963 TPa–1 4.4113 TPa–1 25.408 GPa 73 GPa-0.108630.62658Value
Anisotropy 2.141 1.2989 2.873Anisotropy
Axis -0.0000
-0.0229
0.9997
-0.5446
0.5793
0.6065
0.0000
0.1305
0.9914
1.0000
0.0000
0.0000
-0.0001
0.6907
0.7232
0.0000
0.0000
1.0000
0.7184
-0.0160
0.6955
0.5782
-0.0187
0.8157
Axis
0.0001
0.7232
-0.6907
-1.0000
0.0000
0.0000
0.6956
0.0165
-0.7182
-0.0000
0.9997
0.0229
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