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 Li3SbS4 (Materials Project id mp-760415)

        41       20       19        0        0        0  
        20       41       19        0        0        0  
        19       19       30        0        0        0  
         0        0        0       17        0        0  
         0        0        0        0       17        0  
         0        0        0        0        0       17  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 25.333 GPaEV = 35.038 GPaGV = 13.8 GPaνV = 0.26949
ReussKR = 24.622 GPaER = 31.474 GPaGR = 12.228 GPaνR = 0.28695
HillKH = 24.978 GPaEH = 33.265 GPaGH = 13.014 GPaνH = 0.27804

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
14.48 GPa 17 GPa 17 GPa 17 GPa 21 GPa 76.52 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 18.164 GPa 41.843 GPa 9.9278 TPa–1 20.758 TPa–1 7.8928 GPa 17 GPa0.00613890.60714Value
Anisotropy 2.304 2.0909 2.154 98.9011Anisotropy
Axis 0.0000
0.0000
1.0000
0.6034
0.6033
0.5215
1.0000
0.0000
0.0000
0.0000
0.0000
1.0000
0.7071
0.0001
-0.7071
0.0000
0.0000
1.0000
0.7065
-0.0003
0.7077
0.7071
0.7071
-0.0000
Axis
-0.7071
-0.0002
-0.7071
0.7660
0.6428
-0.0000
0.7077
-0.0005
-0.7065
0.0000
-0.0001
-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