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 As2Ir (Materials Project id mp-15649)

       295       71       79        0       26        0  
        71      352       77        0       19        0  
        79       77      277        0      -13        0  
         0        0        0      103        0       26  
        26       19      -13        0       81        0  
         0        0        0       26        0       86  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 153.11 GPaEV = 247.31 GPaGV = 100.47 GPaνV = 0.2308
ReussKR = 150.8 GPaER = 229.74 GPaGR = 92.183 GPaνR = 0.24609
HillKH = 151.95 GPaEH = 238.57 GPaGH = 96.325 GPaνH = 0.23834

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
67.146 GPa 73.866 GPa 121.85 GPa 211.22 GPa 255.45 GPa 464.47 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 171.85 GPa 318.02 GPa 1.8883 TPa–1 2.7838 TPa–1 68.13 GPa 125.88 GPa0.0489110.41697Value
Anisotropy 1.851 1.4742 1.848 8.5251Anisotropy
Axis -0.6791
0.5821
0.4471
-0.0910
0.9878
-0.1264
0.0000
1.0000
0.0000
-0.7087
-0.0000
0.7055
0.2084
0.2536
-0.9446
0.7015
0.7071
0.0893
-0.8336
0.0000
0.5524
0.8733
-0.0001
-0.4872
Axis
-0.9096
-0.3047
-0.2824
-0.7014
0.7071
-0.0893
-0.0000
-1.0000
0.0000
-0.4872
0.0002
-0.8733
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