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 ScNi2 (Materials Project id mp-850)

       200      115      115        0        0        0  
       115      200      115        0        0        0  
       115      115      200        0        0        0  
         0        0        0       76        0        0  
         0        0        0        0       76        0  
         0        0        0        0        0       76  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 143.33 GPaEV = 163.93 GPaGV = 62.6 GPaνV = 0.30938
ReussKR = 143.33 GPaER = 152.81 GPaGR = 57.782 GPaνR = 0.32231
HillKH = 143.33 GPaEH = 158.4 GPaGH = 60.191 GPaνH = 0.31581

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
76 GPa 76 GPa 76 GPa 85 GPa 85 GPa 430 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 116.03 GPa 193.75 GPa 2.3256 TPa–1 2.3256 TPa–1 42.5 GPa 76 GPa0.091860.52218Value
Anisotropy 1.67 1.0000 1.788 5.6845Anisotropy
Axis 0.0000
0.0000
1.0000
0.5774
0.5774
0.5773
0.9330
0.2500
0.2588
0.0000
0.0000
1.0000
0.7071
0.0001
-0.7071
0.0000
0.0000
1.0000
0.7071
-0.0002
0.7071
0.7071
-0.0001
0.7071
Axis
-0.7071
-0.0002
-0.7071
-0.7660
0.6428
-0.0000
0.7071
-0.0006
-0.7071
0.0001
1.0000
0.0001
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