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 V(CoSe2)2 (Materials Project id mp-1025322)

       140       68       63        0      -18        0  
        68      158       58        0      -10        0  
        63       58      155        0      -14        0  
         0        0        0       57        0       -2  
       -18      -10      -14        0       60        0  
         0        0        0       -2        0       70  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 92.333 GPaEV = 137.67 GPaGV = 55 GPaνV = 0.25151
ReussKR = 88.828 GPaER = 131.1 GPaGR = 52.274 GPaνR = 0.25401
HillKH = 90.581 GPaEH = 134.39 GPaGH = 53.637 GPaνH = 0.25273

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
55.697 GPa 56.699 GPa 70.301 GPa 78.684 GPa 98.829 GPa 279.79 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 94.35 GPa 167.8 GPa 2.6086 TPa–1 5.3289 TPa–1 39.319 GPa 70.301 GPa0.0741030.41723Value
Anisotropy 1.779 2.0428 1.788 5.6304Anisotropy
Axis -0.9789
-0.0000
-0.2043
0.6422
0.5505
-0.5334
0.6476
0.0000
-0.7620
0.7620
0.0000
0.6476
-0.6984
0.7071
-0.1105
-0.9889
-0.0000
0.1487
-0.7011
0.7000
-0.1359
-0.7962
0.0000
0.6050
Axis
-0.6984
-0.7071
-0.1105
0.0000
-1.0000
0.0000
-0.6947
-0.7135
-0.0911
-0.0000
-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