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 Co(NiSe2)2 (Materials Project id mp-1025318)

       137       85       75        0        0        0  
        85      178       78        0        0        0  
        75       78      159        0        1        0  
         0        0        0       39        0       -9  
         0        0        1        0       56        0  
         0        0        0       -9        0       23  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 105.56 GPaEV = 104.96 GPaGV = 39.333 GPaνV = 0.33427
ReussKR = 104.07 GPaER = 92.436 GPaGR = 34.186 GPaνR = 0.35196
HillKH = 104.81 GPaEH = 98.736 GPaGH = 36.76 GPaνH = 0.34299

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
18.958 GPa 43.042 GPa 55.97 GPa 66.036 GPa 89.941 GPa 318.05 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 62.452 GPa 130.8 GPa 2.2145 TPa–1 4.1488 TPa–1 18.958 GPa 56.007 GPa0.05460.6955Value
Anisotropy 2.094 1.8735 2.954 12.7383Anisotropy
Axis -0.6947
0.6789
-0.2376
0.5994
-0.0000
0.8004
0.0000
1.0000
0.0000
0.9995
0.0000
-0.0321
0.9122
-0.0001
0.4097
-0.0112
-0.0000
0.9999
-0.4228
0.4366
-0.7941
0.4100
0.6384
0.6514
Axis
0.0001
1.0000
-0.0000
-0.9999
0.0000
-0.0112
-0.6766
0.4310
0.5971
-0.6408
0.7099
-0.2924
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