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 Li2CuS2 (Materials Project id mp-752881)

        65       27       31        0        2        0  
        27      121       34        0        6        0  
        31       34       53        0       20        0  
         0        0        0       13        0        7  
         2        6       20        0       24        0  
         0        0        0        7        0       12  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 47 GPaEV = 51.624 GPaGV = 19.6 GPaνV = 0.31694
ReussKR = 34.734 GPaER = 29.961 GPaGR = 11.045 GPaνR = 0.35624
HillKH = 40.867 GPaEH = 40.861 GPaGH = 15.323 GPaνH = 0.33336

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
5.4822 GPa 9.4628 GPa 19.518 GPa 38.119 GPa 62.555 GPa 152.86 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 15.887 GPa 96.122 GPa 0.24669 TPa–1 26.594 TPa–1 5.4822 GPa 34.12 GPa-0.0122320.97556Value
Anisotropy 6.05107.8037 6.224Anisotropy
Axis -0.3398
0.3612
0.8684
0.0000
1.0000
0.0000
0.9150
-0.0000
0.4035
-0.4034
-0.0000
0.9150
0.7318
-0.0003
-0.6815
-0.4600
0.7071
-0.5370
-0.8949
0.2799
0.3475
-0.9314
-0.0000
-0.3641
Axis
-0.0001
1.0000
-0.0004
-0.4600
-0.7071
-0.5370
-0.4347
-0.3712
-0.8205
0.3641
-0.0001
-0.9314
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