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 AgBiSCl2 (Materials Project id mp-556094)

        96       32       28        0        0        0  
        32       41       22        0        0        0  
        28       22       53        0        0        0  
         0        0        0       12        0        0  
         0        0        0        0       10        0  
         0        0        0        0        0       18  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 39.333 GPaEV = 40.396 GPaGV = 15.2 GPaνV = 0.32883
ReussKR = 33.621 GPaER = 35.436 GPaGR = 13.379 GPaνR = 0.32434
HillKH = 36.477 GPaEH = 37.917 GPaGH = 14.289 GPaνH = 0.32675

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
10 GPa 12 GPa 18 GPa 22.282 GPa 40.68 GPa 127.04 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 26.755 GPa 68.178 GPa 1.4329 TPa–1 17.438 TPa–1 10 GPa 20.979 GPa0.146840.63943Value
Anisotropy 2.548 12.1697 2.098 4.3545Anisotropy
Axis 0.0000
1.0000
0.0000
1.0000
0.0000
0.0000
1.0000
0.0000
0.0000
0.0000
1.0000
0.0000
0.0000
0.0000
-1.0000
0.7071
-0.0003
0.7071
-0.4933
0.7178
-0.4914
-1.0000
-0.0000
-0.0000
Axis
-1.0000
0.0000
-0.0000
0.7071
-0.0005
-0.7071
-0.6310
-0.6841
-0.3658
0.0000
-1.0000
0.0000
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