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 ZrSiTe (Materials Project id mp-19917)

       166       34       19        0        0        0  
        34      166       19        0        0        0  
        19       19       16        0        0        0  
         0        0        0       18        0        0  
         0        0        0        0       18        0  
         0        0        0        0        0       73  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 54.667 GPaEV = 96.858 GPaGV = 40.2 GPaνV = 0.2047
ReussKR = 15.885 GPaER = 39.761 GPaGR = 18.36 GPaνR = 0.082809
HillKH = 35.276 GPaEH = 68.804 GPaGH = 29.28 GPaνH = 0.17492

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
12.156 GPa 18 GPa 18 GPa 73 GPa 132 GPa 203.84 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 12.39 GPa 150.31 GPa -1.2107 TPa–1 65.375 TPa–1 9.7029 GPa 73 GPa-0.148811.1525Value
Anisotropy 12.13 7.523Anisotropy
Axis 0.0000
0.0000
1.0000
0.7071
0.7071
0.0000
0.3827
0.9239
0.0000
0.0000
0.0000
1.0000
0.7071
-0.0003
0.7071
1.0000
-0.0002
-0.0000
0.7749
-0.0007
0.6321
0.7071
0.7071
0.0000
Axis
0.7071
-0.0005
-0.7071
0.0002
1.0000
-0.0000
0.6321
-0.0012
-0.7749
-0.0000
0.0000
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