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 Sn7Ir3 (Materials Project id mp-22040)

       186       60       60        0        0        0  
        60      186       60        0        0        0  
        60       60      186        0        0        0  
         0        0        0       58        0        0  
         0        0        0        0       58        0  
         0        0        0        0        0       58  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 102 GPaEV = 150.49 GPaGV = 60 GPaνV = 0.2541
ReussKR = 102 GPaER = 150.29 GPaGR = 59.902 GPaνR = 0.25444
HillKH = 102 GPaEH = 150.39 GPaGH = 59.951 GPaνH = 0.25427

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
58 GPa 58 GPa 58 GPa 126 GPa 126 GPa 306 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 146.27 GPa 156.73 GPa 3.268 TPa–1 3.268 TPa–1 58 GPa 63 GPa0.231490.28238Value
Anisotropy 1.071 1.0000 1.086 1.2198Anisotropy
Axis 0.5774
0.5773
-0.5774
0.0000
0.0000
1.0000
0.0000
0.0000
1.0000
0.9914
0.0000
-0.1305
0.0000
0.0000
1.0000
0.7071
-0.0003
0.7071
-0.7071
-0.0000
-0.7071
0.7071
-0.0000
-0.7071
Axis
1.0000
0.0000
-0.0000
0.7071
-0.0005
-0.7071
0.0000
-1.0000
-0.0000
-0.7071
0.0002
-0.7071
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