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 CaNi5 (Materials Project id mp-774)

       195       79       80        0        0       -1  
        79      195       80        0        0       -1  
        80       80      265        0        0       -1  
         0        0        0       66       -0        0  
         0        0        0       -0       66        0  
        -1       -1       -1        0        0       58  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 125.89 GPaEV = 167.97 GPaGV = 65.733 GPaνV = 0.27763
ReussKR = 123.56 GPaER = 165.01 GPaGR = 64.585 GPaνR = 0.27742
HillKH = 124.72 GPaEH = 166.49 GPaGH = 65.159 GPaνH = 0.27753

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
57.99 GPa 66 GPa 66 GPa 116 GPa 156.27 GPa 382.74 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 151.98 GPa 218.28 GPa 1.9063 TPa–1 3.1633 TPa–1 57.992 GPa 72.663 GPa0.200770.32371Value
Anisotropy 1.436 1.6594 1.253 1.6123Anisotropy
Axis 0.7071
0.7071
0.0000
0.0000
0.0000
1.0000
0.0000
0.0000
1.0000
0.7071
0.7071
0.0000
1.0000
-0.0002
-0.0000
-0.5002
0.4998
0.7071
0.7071
0.7071
-0.0000
-0.7071
0.7071
-0.0000
Axis
0.0002
1.0000
-0.0000
-0.4999
0.5001
-0.7071
-0.0000
0.0000
1.0000
-0.7071
-0.7071
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