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 Cr2FeSe4 (Materials Project id mp-5749)

        76       33       29        0      -10        0  
        33       94       27        0      -13        0  
        29       27       98        0        1        0  
         0        0        0       35        0      -13  
       -10      -13        1        0       42        0  
         0        0        0      -13        0       37  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 49.556 GPaEV = 84.466 GPaGV = 34.733 GPaνV = 0.21592
ReussKR = 47.759 GPaER = 76.996 GPaGR = 31.266 GPaνR = 0.2313
HillKH = 48.657 GPaEH = 80.745 GPaGH = 33 GPaνH = 0.22342

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
22.962 GPa 36.779 GPa 49.038 GPa 49.569 GPa 72.979 GPa 150.67 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 57.692 GPa 115.55 GPa 4.8171 TPa–1 9.6467 TPa–1 22.962 GPa 49.038 GPa0.0522430.45534Value
Anisotropy 2.003 2.0026 2.136 8.7158Anisotropy
Axis -0.9886
-0.0000
-0.1507
0.5644
0.6572
-0.4995
0.4564
-0.0000
-0.8898
0.8898
0.0000
0.4564
-0.6794
0.0000
-0.7337
-0.7337
-0.0000
0.6794
-0.8249
-0.0000
0.5653
0.0517
0.4987
-0.8652
Axis
-0.0001
-1.0000
0.0000
0.0000
-1.0000
0.0000
-0.5653
-0.0000
-0.8249
-0.7848
-0.5155
-0.3440
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