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 Nd2TeO2 (Materials Project id mp-5459)

       159       43       40        0        0        0  
        43      159       40        0        0        0  
        40       40      112        0        0        0  
         0        0        0       20        0        0  
         0        0        0        0       20        0  
         0        0        0        0        0       52  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 75.111 GPaEV = 99.447 GPaGV = 38.867 GPaνV = 0.27933
ReussKR = 73.023 GPaER = 82.193 GPaGR = 31.314 GPaνR = 0.3124
HillKH = 74.067 GPaEH = 90.914 GPaGH = 35.09 GPaνH = 0.29542

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
20 GPa 20 GPa 52 GPa 84.716 GPa 116 GPa 229.28 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 62.271 GPa 139.02 GPa 3.7068 TPa–1 6.2809 TPa–1 20 GPa 58 GPa0.109460.58003Value
Anisotropy 2.232 1.6944 2.9 5.2991Anisotropy
Axis 0.4750
0.4750
-0.7408
1.0000
0.0000
0.0000
1.0000
0.0000
0.0000
0.0000
0.0000
1.0000
0.0000
0.0000
1.0000
0.7071
0.7071
0.0000
0.7385
-0.0002
0.6742
0.7605
0.0001
-0.6494
Axis
-0.7660
0.6428
-0.0000
-0.7071
0.7071
-0.0000
0.0003
1.0000
0.0000
-0.6494
0.0000
-0.7605
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