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 GaCuS2 (Materials Project id mp-5238)

       104       59       60        0        0        0  
        59      104       60        0        0        0  
        60       60      105        0        0        0  
         0        0        0       49        0        0  
         0        0        0        0       49        0  
         0        0        0        0        0       49  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 74.556 GPaEV = 98.174 GPaGV = 38.333 GPaνV = 0.28053
ReussKR = 74.549 GPaER = 86.634 GPaGR = 33.16 GPaνR = 0.30632
HillKH = 74.552 GPaEH = 92.462 GPaGH = 35.746 GPaνH = 0.2933

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
44.328 GPa 45 GPa 49 GPa 49 GPa 49 GPa 223.67 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 60.828 GPa 120.58 GPa 4.3369 TPa–1 4.5386 TPa–1 22.248 GPa 49 GPa-0.00813630.57686Value
Anisotropy 1.982 1.0465 2.202Anisotropy
Axis 0.0000
0.0000
1.0000
-0.5758
0.5758
0.5805
0.0000
0.0000
1.0000
0.3827
0.9239
0.0000
0.7071
-0.0003
0.7071
0.0000
0.0000
1.0000
0.7071
-0.0000
-0.7071
0.7017
-0.0001
0.7125
Axis
0.7071
-0.0005
-0.7071
0.7660
0.6428
-0.0000
-0.7071
0.0002
-0.7071
0.0001
1.0000
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