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 Tm2SeO2 (Materials Project id mp-753920)

       204       88       83        4        0        0  
        88      205       83       -4        0        0  
        83       83      217        0        0        0  
         4       -4        0       76        0        0  
         0        0        0        0       76        4  
         0        0        0        0        4       58  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 126 GPaEV = 170.3 GPaGV = 66.8 GPaνV = 0.27473
ReussKR = 125.97 GPaER = 167.81 GPaGR = 65.653 GPaνR = 0.27798
HillKH = 125.98 GPaEH = 169.06 GPaGH = 66.226 GPaνH = 0.27635

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
57.151 GPa 75.225 GPa 76.849 GPa 117.27 GPa 131.46 GPa 378.05 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 152.05 GPa 187.57 GPa 2.5455 TPa–1 2.7081 TPa–1 57.151 GPa 76.857 GPa0.177910.36788Value
Anisotropy 1.234 1.0639 1.345 2.0678Anisotropy
Axis 0.8578
0.4958
-0.1358
-0.0000
0.6905
-0.7233
0.0000
0.0044
1.0000
1.0000
0.0000
0.0000
-0.0000
0.9782
-0.2076
0.1808
0.1059
-0.9778
-0.5709
0.3397
-0.7475
0.6246
0.3744
-0.6853
Axis
-1.0000
-0.0000
0.0000
-0.4990
0.8666
0.0016
0.6424
-0.3821
-0.6643
-0.5136
0.8580
0.0007
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