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 LiScAs2O7 (Materials Project id mp-552663)

       141       54       79        0        1        0  
        54      149       74        0       16        0  
        79       74      164        0        0        0  
         0        0        0       57        0       14  
         1       16        0        0       64        0  
         0        0        0       14        0       45  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 96.444 GPaEV = 127.17 GPaGV = 49.667 GPaνV = 0.28024
ReussKR = 93.995 GPaER = 117.63 GPaGR = 45.544 GPaνR = 0.29142
HillKH = 95.22 GPaEH = 122.42 GPaGH = 47.605 GPaνH = 0.28573

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
35.768 GPa 57.531 GPa 66.232 GPa 72.063 GPa 96.936 GPa 291.47 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 93.144 GPa 165.56 GPa 1.9885 TPa–1 4.4297 TPa–1 35.231 GPa 67.163 GPa0.115090.52032Value
Anisotropy 1.777 2.2276 1.906 4.5210Anisotropy
Axis 0.6093
0.7506
-0.2557
-0.4618
0.6473
-0.6064
-0.2366
0.0000
-0.9716
-0.9716
0.0000
0.2366
0.5354
0.2909
-0.7929
0.1138
0.3854
-0.9157
-0.0000
1.0000
-0.0000
0.1599
0.4567
-0.8751
Axis
0.5583
0.5826
0.5907
-0.8631
0.4949
0.1010
-0.8974
-0.0000
0.4413
-0.8322
0.5392
0.1294
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