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 BaCSNCl (Materials Project id mp-556856)

        23       20       19        0        1        0  
        20       44       25        0        2        0  
        19       25       62        0       10        0  
         0        0        0       13        0        0  
         1        2       10        0       15        0  
         0        0        0        0        0       16  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 28.556 GPaEV = 34.163 GPaGV = 13.133 GPaνV = 0.30061
ReussKR = 22.244 GPaER = 27.183 GPaGR = 10.484 GPaνR = 0.29633
HillKH = 25.4 GPaEH = 30.673 GPaGH = 11.809 GPaνH = 0.29873

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
10.066 GPa 12.872 GPa 13 GPa 16 GPa 29.539 GPa 91.523 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 12.47 GPa 55.1 GPa 3.8083 TPa–1 37.199 TPa–1 5.6552 GPa 17.557 GPa-0.100850.71412Value
Anisotropy 4.418 9.7679 3.105Anisotropy
Axis -0.9977
0.0001
-0.0683
0.3633
-0.0000
0.9317
0.0000
1.0000
0.0000
0.9962
-0.0000
-0.0871
-0.7065
0.7071
-0.0285
0.1412
0.5593
-0.8168
0.5538
0.0001
0.8326
-0.0000
1.0000
-0.0001
Axis
-0.7065
-0.7071
-0.0285
-0.8106
-0.4083
-0.4197
0.8326
0.0004
-0.5538
-0.9992
-0.0000
0.0400
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