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 LaCuSe2 (Materials Project id mp-11790)

        92       37       39        0        2        0  
        37      117       42        0        3        0  
        39       42       75        0       -3        0  
         0        0        0       37        0        3  
         2        3       -3        0       25        0  
         0        0        0        3        0       32  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 57.778 GPaEV = 76.43 GPaGV = 29.867 GPaνV = 0.27953
ReussKR = 56.131 GPaER = 72.147 GPaGR = 28.056 GPaνR = 0.28578
HillKH = 56.954 GPaEH = 74.291 GPaGH = 28.961 GPaνH = 0.2826

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
23.926 GPa 30.595 GPa 38.405 GPa 42.271 GPa 67 GPa 175.8 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 48.766 GPa 96.226 GPa 3.7475 TPa–1 8.1707 TPa–1 20.1 GPa 38.405 GPa0.112210.4679Value
Anisotropy 1.973 2.1803 1.911 4.1700Anisotropy
Axis 0.2296
-0.0000
0.9733
0.1937
0.8827
0.4282
0.0000
1.0000
0.0000
0.0130
0.0000
0.9999
0.8647
0.0001
0.5022
0.4241
-0.0004
0.9056
-0.1805
0.6805
-0.7102
-0.9727
0.0001
0.2319
Axis
0.5022
-0.0000
-0.8647
0.0004
1.0000
0.0003
-0.2077
-0.7322
-0.6487
-0.2319
-0.0001
-0.9727
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