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 Ni(RhSe2)2 (Materials Project id mp-4852)

       109       72       59        0        4        0  
        72      158       73        0       21        0  
        59       73      127        0       -6        0  
         0        0        0       35        0       13  
         4       21       -6        0       39        0  
         0        0        0       13        0       33  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 89.111 GPaEV = 90.649 GPaGV = 34.067 GPaνV = 0.33046
ReussKR = 85.198 GPaER = 79.842 GPaGR = 29.707 GPaνR = 0.34381
HillKH = 87.154 GPaEH = 85.263 GPaGH = 31.887 GPaνH = 0.33695

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
20.962 GPa 29.673 GPa 47.038 GPa 55.506 GPa 76.397 GPa 271.42 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 60.353 GPa 127.85 GPa 2.0112 TPa–1 5.8607 TPa–1 20.962 GPa 48.907 GPa0.108040.69211Value
Anisotropy 2.118 2.9140 2.333 6.4059Anisotropy
Axis -0.5389
0.7256
0.4280
0.4589
0.7616
0.4577
0.0000
1.0000
0.0000
0.9618
0.0000
-0.2739
-0.7337
0.0000
0.6794
0.0405
0.4948
-0.8681
0.1190
0.4293
-0.8953
0.0000
1.0000
-0.0000
Axis
-0.0000
-1.0000
-0.0000
-0.7448
0.5941
0.3038
-0.7272
-0.5763
-0.3730
-0.7163
0.0000
-0.6978
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