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 AgI (Materials Project id mp-22925)

        21       19       19        0        0        0  
        19       21       19        0        0        0  
        19       19       21        0        0        0  
         0        0        0       12        0        0  
         0        0        0        0       12        0  
         0        0        0        0        0       12  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 19.667 GPaEV = 20.198 GPaGV = 7.6 GPaνV = 0.32883
ReussKR = 19.667 GPaER = 6.4247 GPaGR = 2.2222 GPaνR = 0.44555
HillKH = 19.667 GPaEH = 13.601 GPaGH = 4.9111 GPaνH = 0.38474

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
2 GPa 2 GPa 12 GPa 12 GPa 12 GPa 59 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 2.95 GPa 29.915 GPa 16.949 TPa–1 16.949 TPa–1 1 GPa 12 GPa-0.620581.4662Value
Anisotropy 10.14 1.0000 12Anisotropy
Axis 0.0000
0.0000
1.0000
-0.5774
0.5774
-0.5773
0.9983
0.0000
0.0589
0.0000
0.0000
1.0000
0.7071
0.0001
-0.7071
-0.0000
0.0000
1.0000
0.7071
0.0001
-0.7071
-0.7071
0.7071
0.0000
Axis
-0.7071
-0.0002
-0.7071
-0.7660
0.6428
-0.0000
-0.7071
-0.0002
-0.7071
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