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 AsBr3 (Materials Project id mp-23317)

         4       -2        1        0        0        0  
        -2        5        1        0        0        0  
         1        1        3        0        0        0  
         0        0        0        1        0        0  
         0        0        0        0        1        0  
         0        0        0        0        0        1  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 1.3333 GPaEV = 3.1111 GPaGV = 1.4 GPaνV = 0.11111
ReussKR = 1.2069 GPaER = 2.4306 GPaGR = 1.0437 GPaνR = 0.16435
HillKH = 1.2701 GPaEH = 2.7756 GPaGH = 1.2219 GPaνH = 0.13579

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
1 GPa 1 GPa 1 GPa 1.2855 GPa 4.1433 GPa 6.5712 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 1.8824 GPa 3.1818 GPa 85.714 TPa–1 400 TPa–1 0.73282 GPa 3.1818 GPa-0.636360.54545Value
Anisotropy 1.69 4.6667 4.342Anisotropy
Axis 0.7500
0.6614
-0.0000
0.0000
1.0000
0.0000
0.0000
0.0000
1.0000
1.0000
0.0000
0.0000
0.5495
0.4450
0.7071
0.7071
0.7071
0.0000
0.0000
1.0000
0.0000
0.0000
1.0000
-0.0000
Axis
0.5498
0.4447
-0.7071
-0.7071
0.7071
-0.0000
-1.0000
0.0000
-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