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 YCoC2 (Materials Project id mp-4248)

       385      163       74        0        0        0  
       163      315       93        0        0        0  
        74       93      218        0        0        0  
         0        0        0       81        0        0  
         0        0        0        0       80        0  
         0        0        0        0        0      131  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 175.33 GPaEV = 246.97 GPaGV = 97.6 GPaνV = 0.26523
ReussKR = 159.11 GPaER = 231.08 GPaGR = 91.847 GPaνR = 0.25795
HillKH = 167.22 GPaEH = 239.04 GPaGH = 94.723 GPaνH = 0.26176

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
80 GPa 81 GPa 131 GPa 156.12 GPa 205.21 GPa 556.66 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 185.52 GPa 337.11 GPa 1.3018 TPa–1 3.5219 TPa–1 79.56 GPa 131 GPa0.0860660.47737Value
Anisotropy 1.817 2.7053 1.647 5.5465Anisotropy
Axis 0.4073
0.0000
0.9133
0.8090
0.5878
-0.0000
1.0000
0.0000
0.0000
0.0000
0.0000
1.0000
0.3609
0.7071
0.6080
1.0000
-0.0001
0.0000
0.0000
0.0000
1.0000
-1.0000
-0.0000
0.0000
Axis
-0.3609
0.7071
-0.6081
0.0001
1.0000
0.0000
-1.0000
0.0000
0.0000
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