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 CaCeAg2 (Materials Project id mp-865460)

        39       11       11        0        0        0  
        11       39       11        0        0        0  
        11       11       39        0        0        0  
         0        0        0       25        0        0  
         0        0        0        0       25        0  
         0        0        0        0        0       25  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 20.333 GPaEV = 46.199 GPaGV = 20.6 GPaνV = 0.12132
ReussKR = 20.333 GPaER = 43.5 GPaGR = 19.022 GPaνR = 0.14344
HillKH = 20.333 GPaEH = 44.863 GPaGH = 19.811 GPaνH = 0.13227

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
25 GPa 25 GPa 25 GPa 28 GPa 28 GPa 61 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 34.16 GPa 53.198 GPa 16.393 TPa–1 16.393 TPa–1 14 GPa 25 GPa-0.0661560.30071Value
Anisotropy 1.557 1.0000 1.786Anisotropy
Axis 0.0000
0.0000
1.0000
0.5774
0.5774
0.5773
0.8660
0.0000
0.5000
0.0000
0.0000
1.0000
0.7071
-0.0003
0.7071
-0.0000
0.0000
1.0000
0.7071
0.0001
-0.7071
0.7071
-0.0004
-0.7071
Axis
0.7071
-0.0005
-0.7071
-0.5000
-0.8660
0.0000
-0.7071
-0.0002
-0.7071
0.0003
1.0000
-0.0003
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