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 NaNbS2 (Materials Project id mp-7937)

       159       47       34        0        0        0  
        47      159       34        0        0        0  
        34       34      135        0        0        0  
         0        0        0       38        0        0  
         0        0        0        0       38        0  
         0        0        0        0        0       56  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 75.889 GPaEV = 120.83 GPaGV = 48.933 GPaνV = 0.23463
ReussKR = 74.994 GPaER = 116.8 GPaGR = 47.079 GPaνR = 0.24043
HillKH = 75.442 GPaEH = 118.82 GPaGH = 48.006 GPaνH = 0.23751

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
38 GPa 38 GPa 56 GPa 110.73 GPa 112 GPa 230.27 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 102.7 GPa 140.62 GPa 3.9611 TPa–1 5.4122 TPa–1 38 GPa 55.999 GPa0.154330.35566Value
Anisotropy 1.369 1.3663 1.474 2.3046Anisotropy
Axis 0.6177
0.2476
0.7465
1.0000
0.0000
0.0000
1.0000
0.0000
0.0000
0.0000
0.0000
1.0000
0.0000
0.0000
1.0000
0.5644
0.4260
0.7071
0.0259
0.5069
-0.8616
0.6806
0.2615
-0.6844
Axis
1.0000
0.0000
-0.0000
0.5645
0.4258
-0.7071
-0.9987
0.0511
0.0000
-0.6389
-0.2454
-0.7291
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