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 YCo5 (Materials Project id mp-2827)

       192      123      113        0        0        4  
       123      192      112        0        0       -4  
       113      112      262        0        0        0  
         0        0        0       48        0        0  
         0        0        0        0       48        0  
         4       -4        0        0        0       39  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 149.11 GPaEV = 127.27 GPaGV = 46.867 GPaνV = 0.35775
ReussKR = 147.09 GPaER = 121.05 GPaGR = 44.409 GPaνR = 0.36284
HillKH = 148.1 GPaEH = 124.16 GPaGH = 45.638 GPaνH = 0.36027

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
37.969 GPa 48 GPa 48 GPa 70.026 GPa 127.21 GPa 449.79 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 99.111 GPa 181.64 GPa 1.573 TPa–1 2.6244 TPa–1 32.16 GPa 56.408 GPa0.192210.54641Value
Anisotropy 1.833 1.6684 1.754 2.8428Anisotropy
Axis -0.9657
0.2598
0.0000
0.0000
0.0000
1.0000
0.0000
0.0000
1.0000
0.0511
0.9987
0.0000
-0.4976
0.8674
-0.0000
-0.3431
0.6183
0.7071
0.2514
0.9679
0.0001
0.2595
0.9657
-0.0000
Axis
-0.8674
-0.4976
-0.0000
-0.3430
0.6184
-0.7071
0.0004
-0.0000
-1.0000
-0.9657
0.2595
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