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 Te(HO)6 (Materials Project id mp-30981)

        67        8       23        0      -19        0  
         8       51       16        0        3        0  
        23       16       45        0       -3        0  
         0        0        0       20        0        2  
       -19        3       -3        0       28        0  
         0        0        0        2        0       13  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 28.556 GPaEV = 48.512 GPaGV = 19.933 GPaνV = 0.21686
ReussKR = 27.036 GPaER = 41.486 GPaGR = 16.671 GPaνR = 0.24426
HillKH = 27.796 GPaEH = 45.024 GPaGH = 18.302 GPaνH = 0.23003

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
12.469 GPa 18.251 GPa 20.531 GPa 27.571 GPa 53.571 GPa 91.607 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 33.053 GPa 94.501 GPa 7.9288 TPa–1 15.463 TPa–1 12.187 GPa 30.245 GPa0.0327380.53145Value
Anisotropy 2.859 1.9503 2.482 16.2338Anisotropy
Axis 0.7349
0.6758
0.0565
0.8543
-0.0000
-0.5198
0.7469
-0.0000
-0.6649
0.6649
-0.0000
0.7469
-0.4639
0.4333
-0.7727
0.8107
0.5842
0.0394
-0.4227
0.5368
-0.7302
0.5024
0.4728
-0.7239
Axis
-0.7806
0.2123
0.5878
-0.4057
0.5119
0.7572
-0.7342
0.2695
0.6231
-0.7678
0.6290
-0.1221
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