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 InAgS2 (Materials Project id mp-19833)

        64       46       47        0        0        0  
        46       64       47        0        0        0  
        47       47       64        0        0        0  
         0        0        0       23        0        0  
         0        0        0        0       23        0  
         0        0        0        0        0       24  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 52.444 GPaEV = 47.164 GPaGV = 17.467 GPaνV = 0.35011
ReussKR = 52.44 GPaER = 38.312 GPaGR = 13.899 GPaνR = 0.37824
HillKH = 52.442 GPaEH = 42.783 GPaGH = 15.683 GPaνH = 0.36403

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
16.665 GPa 18 GPa 23 GPa 23 GPa 24 GPa 157.33 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 23.836 GPa 60.939 GPa 6.1022 TPa–1 6.4836 TPa–1 8.49 GPa 24 GPa-0.0790310.79241Value
Anisotropy 2.557 1.0625 2.827Anisotropy
Axis 0.0000
0.0000
1.0000
-0.5787
0.5787
0.5746
0.0000
0.0000
1.0000
0.3827
0.9239
0.0000
0.7071
0.0001
-0.7071
1.0000
0.0000
-0.0000
-0.7071
0.7071
-0.0000
-0.7071
0.7071
0.0000
Axis
-0.7071
-0.0002
-0.7071
-0.0000
1.0000
0.0000
-0.7071
-0.7071
-0.0000
0.0000
-0.0000
1.0000
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