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 GaCuPt2 (Materials Project id mp-644280)

       242      154      154        0        0        0  
       154      269      142        0        0        0  
       154      142      269        0        0        0  
         0        0        0      103        0        0  
         0        0        0        0       80        0  
         0        0        0        0        0       80  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 186.67 GPaEV = 197.49 GPaGV = 74.6 GPaνV = 0.32367
ReussKR = 186.49 GPaER = 185.37 GPaGR = 69.461 GPaνR = 0.33433
HillKH = 186.58 GPaEH = 191.45 GPaGH = 72.031 GPaνH = 0.32898

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
80 GPa 80 GPa 92.893 GPa 103 GPa 127 GPa 560.11 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 126.59 GPa 227.25 GPa 1.6913 TPa–1 1.9796 TPa–1 49.797 GPa 103 GPa0.0213780.62276Value
Anisotropy 1.795 1.1705 2.068 29.1313Anisotropy
Axis 1.0000
0.0000
0.0000
0.4908
0.6161
0.6160
0.0000
0.9659
0.2588
1.0000
0.0000
0.0000
0.7071
-0.0002
0.7071
0.0004
0.0003
1.0000
0.0000
0.7071
0.7071
0.0000
0.7071
0.7071
Axis
0.7071
-0.0006
-0.7071
-0.0001
1.0000
-0.0003
-0.0000
-0.7071
0.7071
-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