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 ErSnAu (Materials Project id mp-13303)

       146       76       38        0        0        0  
        76      146       38        0        0        0  
        38       38      107        0        0        0  
         0        0        0       48        0        0  
         0        0        0        0       48        0  
         0        0        0        0        0       35  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 78.111 GPaEV = 108.28 GPaGV = 42.667 GPaνV = 0.26895
ReussKR = 73.472 GPaER = 104.2 GPaGR = 41.23 GPaνR = 0.26363
HillKH = 75.791 GPaEH = 106.24 GPaGH = 41.948 GPaνH = 0.26637

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
35 GPa 48 GPa 48 GPa 70 GPa 85.796 GPa 243.2 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 93.991 GPa 107.35 GPa 3.3068 TPa–1 6.997 TPa–1 35 GPa 48 GPa0.109910.47172Value
Anisotropy 1.142 2.1159 1.371 4.2918Anisotropy
Axis 0.0000
0.0000
1.0000
0.7979
0.1053
0.5935
1.0000
0.0000
0.0000
0.0000
0.0000
1.0000
0.9573
0.2890
0.0000
-0.0000
0.0000
1.0000
0.3212
0.6153
-0.7199
0.9456
0.3253
0.0000
Axis
-0.2890
0.9573
-0.0000
-0.7660
0.6428
-0.0000
-0.3331
-0.6382
-0.6941
-0.3253
0.9456
-0.0000
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