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 SrSiN2 (Materials Project id mp-4549)

       148       82       43        0        5        0  
        82      102       77        0      -10        0  
        43       77      251        0      -13        0  
         0        0        0       41        0        3  
         5      -10      -13        0       24        0  
         0        0        0        3        0       26  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 100.56 GPaEV = 101.56 GPaGV = 38.133 GPaνV = 0.33167
ReussKR = 91.258 GPaER = 71.728 GPaGR = 26.197 GPaνR = 0.369
HillKH = 95.907 GPaEH = 86.793 GPaGH = 32.165 GPaνH = 0.34917

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
18.166 GPa 25.422 GPa 37.727 GPa 41.578 GPa 151.81 GPa 317.3 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 40.741 GPa 188.58 GPa 0.1817 TPa–1 7.1575 TPa–1 13.033 GPa 67.936 GPa-0.286991.0804Value
Anisotropy 4.629 39.3916 5.213Anisotropy
Axis 0.0000
1.0000
0.0000
-0.0156
-0.0000
0.9999
0.6386
0.0000
-0.7695
0.0000
1.0000
0.0000
0.6053
0.7071
-0.3655
0.6176
0.0001
0.7865
0.0932
0.0000
-0.9956
-0.1497
-0.0000
0.9887
Axis
-0.6053
0.7071
0.3655
0.7865
0.0002
-0.6176
-0.9956
-0.0003
-0.0932
-0.0000
-1.0000
-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