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 AgBr (Materials Project id mp-570301)

        49       31       35       -0        0        0  
        31       54       31       -0        0        0  
        35       31       48       -0        0        0  
        -0       -0       -0        8        0        0  
         0        0        0        0       12       -0  
         0        0        0        0       -0        8  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 38.333 GPaEV = 25.556 GPaGV = 9.2 GPaνV = 0.38889
ReussKR = 38.322 GPaER = 24.432 GPaGR = 8.7647 GPaνR = 0.39374
HillKH = 38.327 GPaEH = 24.995 GPaGH = 8.9824 GPaνH = 0.39131

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
8 GPa 8 GPa 12 GPa 13.489 GPa 22.504 GPa 115.01 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 20.648 GPa 31.985 GPa 8.3068 TPa–1 9.2235 TPa–1 6.7474 GPa 12 GPa0.257570.55134Value
Anisotropy 1.549 1.1103 1.778 2.1406Anisotropy
Axis -0.0000
0.3033
0.9529
0.7155
0.0000
0.6986
0.0000
1.0000
0.0000
0.0000
0.0000
1.0000
0.7071
-0.0003
0.7071
0.0000
0.0000
1.0000
-0.0006
-0.0006
1.0000
0.0000
0.0000
1.0000
Axis
0.7071
-0.0005
-0.7071
-1.0000
0.0000
0.0000
0.0000
1.0000
0.0006
1.0000
0.0000
-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