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 Sr(CoAs)2 (Materials Project id mp-571203)

       145       27       59        0        0        0  
        27      145       59        0        0        0  
        59       59       76        0        0        0  
         0        0        0       36        0        0  
         0        0        0        0       36        0  
         0        0        0        0        0       40  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 72.889 GPaEV = 95.229 GPaGV = 37.133 GPaνV = 0.28225
ReussKR = 69.432 GPaER = 77.686 GPaGR = 29.572 GPaνR = 0.31352
HillKH = 71.16 GPaEH = 86.537 GPaGH = 33.352 GPaνH = 0.29732

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
27.74 GPa 36 GPa 36 GPa 40 GPa 118 GPa 220.26 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 35.523 GPa 109.03 GPa 2.7823 TPa–1 8.838 TPa–1 16.685 GPa 59 GPa-0.189550.92346Value
Anisotropy 3.069 3.1765 3.536Anisotropy
Axis 0.0000
0.0000
1.0000
0.8908
0.0000
-0.4544
1.0000
0.0000
0.0000
0.0000
0.0000
1.0000
0.4998
0.5002
0.7071
0.7071
0.7071
-0.0000
1.0000
-0.0002
0.0000
1.0000
0.0003
0.0000
Axis
0.5002
0.4998
-0.7071
-0.7071
0.7071
0.0000
0.0002
1.0000
0.0000
0.0000
0.0002
-1.0000
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