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 Co3SnC (Materials Project id mp-20679)

       347      135      135        0        0        0  
       135      347      135        0        0        0  
       135      135      347        0        0        0  
         0        0        0       61        0        0  
         0        0        0        0       61        0  
         0        0        0        0        0       61  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 205.67 GPaEV = 210.1 GPaGV = 79 GPaνV = 0.32974
ReussKR = 205.67 GPaER = 196.97 GPaGR = 73.477 GPaνR = 0.34038
HillKH = 205.67 GPaEH = 203.56 GPaGH = 76.239 GPaνH = 0.33504

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
61 GPa 61 GPa 61 GPa 212 GPa 212 GPa 617 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 166.54 GPa 271.38 GPa 1.6207 TPa–1 1.6207 TPa–1 61 GPa 106 GPa0.190250.51098Value
Anisotropy 1.63 1.0000 1.738 2.6858Anisotropy
Axis 0.5774
0.5773
-0.5774
0.0000
0.0000
1.0000
0.4830
0.6294
0.6088
0.7934
0.0000
-0.6088
-0.0000
-0.0000
1.0000
0.7071
0.0001
-0.7071
-0.7071
-0.0000
0.7071
0.7071
-0.0002
0.7071
Axis
1.0000
0.0002
0.0000
-0.7071
-0.0002
-0.7071
0.0000
-1.0000
-0.0000
0.7071
-0.0005
-0.7071
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