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 GeSb4Te7 (Materials Project id mp-29641)

        68       16       11       -6        0        0  
        16       68       11        6        0        0  
        11       11       18        0        0        0  
        -6        6        0       12        0        0  
         0        0        0        0       12       -6  
         0        0        0        0       -6       26  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 25.556 GPaEV = 43.206 GPaGV = 17.733 GPaνV = 0.21822
ReussKR = 16.711 GPaER = 30.252 GPaGR = 12.623 GPaνR = 0.19827
HillKH = 21.133 GPaEH = 36.739 GPaGH = 15.178 GPaνH = 0.21026

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
9.7805 GPa 10.274 GPa 14.517 GPa 28.22 GPa 53.726 GPa 87.483 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 15.119 GPa 64.473 GPa 5.5118 TPa–1 48.819 TPa–1 9.1521 GPa 28.22 GPa0.0109730.67827Value
Anisotropy 4.264 8.8571 3.083 61.8156Anisotropy
Axis 0.0000
0.0000
1.0000
0.8467
0.4888
-0.2102
0.9914
0.1305
0.0000
0.0000
0.0000
1.0000
-0.0002
0.8903
0.4554
0.0000
0.9379
-0.3470
0.7169
0.4139
-0.5611
1.0000
0.0015
-0.0002
Axis
0.0003
0.4554
-0.8903
-1.0000
0.0000
0.0000
-0.5000
0.8660
-0.0000
-0.0010
0.5434
-0.8395
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