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 NiSe (Materials Project id mp-571033)

        59        4       10        0        0        0  
         4       59       10        0        0        0  
        10       10       36        0        0        0  
         0        0        0        1        0        0  
         0        0        0        0        1        0  
         0        0        0        0        0       17  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 22.444 GPaEV = 31.557 GPaGV = 12.467 GPaνV = 0.26566
ReussKR = 21.768 GPaER = 6.7058 GPaGR = 2.3145 GPaνR = 0.44866
HillKH = 22.106 GPaEH = 19.949 GPaGH = 7.3906 GPaνH = 0.3496

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
1 GPa 1 GPa 17 GPa 29.949 GPa 55 GPa 69.051 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 3.8305 GPa 56.196 GPa 12.573 TPa–1 20.793 TPa–1 1 GPa 17.262 GPa0.00745890.92764Value
Anisotropy 14.67 1.6538 17.26124.3670Anisotropy
Axis 0.4981
0.4981
0.7098
1.0000
0.0000
0.0000
1.0000
0.0000
0.0000
0.0000
0.0000
1.0000
0.0000
0.0000
1.0000
0.7071
0.0001
-0.7071
0.8999
0.0004
0.4361
0.7657
-0.0006
0.6433
Axis
1.0000
0.0000
-0.0000
-0.7071
-0.0002
-0.7071
-0.0005
1.0000
-0.0000
0.6432
-0.0010
-0.7657
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