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 CuBr (Materials Project id mp-32880)

        58       43       44        0        0        0  
        43       59       43        0        0        0  
        44       43       58        0        0        0  
         0        0        0       18        0        0  
         0        0        0        0       26        0  
         0        0        0        0        0       18  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 48.333 GPaEV = 41.764 GPaGV = 15.4 GPaνV = 0.35599
ReussKR = 48.333 GPaER = 33.192 GPaGR = 11.978 GPaνR = 0.38554
HillKH = 48.333 GPaEH = 37.525 GPaGH = 13.689 GPaνH = 0.37061

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
14 GPa 16 GPa 18 GPa 18 GPa 26 GPa 145 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 20.648 GPa 53.338 GPa 6.8966 TPa–1 6.8966 TPa–1 7 GPa 26 GPa-0.138830.82999Value
Anisotropy 2.583 1.0000 3.714Anisotropy
Axis 0.0000
0.0000
1.0000
-0.6026
0.5232
0.6026
0.2500
0.9330
0.2588
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
-0.0005
-0.7071
Axis
-0.7071
-0.0002
-0.7071
-1.0000
0.0000
-0.0000
-0.7071
-0.0002
-0.7071
0.0003
1.0000
-0.0003
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