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 CaIrO3 (Materials Project id mp-4243)

       317      117       64        0        0        0  
       117      222       88        0        0        0  
        64       88      395        0        0        0  
         0        0        0       68        0        0  
         0        0        0        0       48        0  
         0        0        0        0        0       59  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 163.56 GPaEV = 204.87 GPaGV = 79.333 GPaνV = 0.29123
ReussKR = 159.01 GPaER = 178.32 GPaGR = 67.903 GPaνR = 0.31309
HillKH = 161.28 GPaEH = 191.69 GPaGH = 73.618 GPaνH = 0.30191

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
48 GPa 59 GPa 68 GPa 136.85 GPa 297.56 GPa 499.58 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 146.74 GPa 358.9 GPa 1.5909 TPa–1 2.9555 TPa–1 48 GPa 140.83 GPa0.0690130.53602Value
Anisotropy 2.446 1.8578 2.934 7.7670Anisotropy
Axis 0.7359
0.0000
0.6770
0.0000
0.0000
1.0000
0.0000
0.0000
1.0000
0.0000
1.0000
0.0000
0.0000
0.0000
1.0000
0.7071
0.0001
-0.7071
-0.0000
-0.0000
1.0000
0.6722
-0.0001
0.7404
Axis
-1.0000
0.0000
0.0000
-0.7071
-0.0002
-0.7071
-1.0000
0.0000
-0.0000
0.7404
-0.0002
-0.6722
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