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 HoCo3Cu2 (Materials Project id mp-1018723)

       220      120       90        0        0       -0  
       120      220       90        0        0       -0  
        90       90      243        0        0        0  
         0        0        0       57        0        0  
         0        0        0        0       57        0  
        -0       -0        0        0        0       50  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 142.56 GPaEV = 154 GPaGV = 58.333 GPaνV = 0.31996
ReussKR = 142.53 GPaER = 150.51 GPaGR = 56.841 GPaνR = 0.324
HillKH = 142.54 GPaEH = 152.26 GPaGH = 57.587 GPaνH = 0.32198

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
50 GPa 57 GPa 57 GPa 100 GPa 155.29 GPa 427.71 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 143.91 GPa 195.35 GPa 2.3035 TPa–1 2.4089 TPa–1 50 GPa 68.221 GPa0.198410.46429Value
Anisotropy 1.357 1.0458 1.364 2.3400Anisotropy
Axis 0.8650
0.2193
0.4513
0.0000
0.0000
1.0000
0.2588
0.9659
0.0000
0.0000
0.0000
1.0000
0.9573
0.2890
0.0000
0.5980
0.3774
0.7071
-0.9039
0.4277
0.0000
0.9349
0.3549
-0.0000
Axis
-0.2890
0.9573
-0.0000
0.5980
0.3774
-0.7071
0.0000
-0.0000
1.0000
-0.3549
0.9349
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