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 Sr3In (Materials Project id mp-31349)

        72       65       65        0        0        0  
        65       72       65        0        0        0  
        65       65       72        0        0        0  
         0        0        0       20        0        0  
         0        0        0        0       20        0  
         0        0        0        0        0       20  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 67.333 GPaEV = 37.699 GPaGV = 13.4 GPaνV = 0.40669
ReussKR = 67.333 GPaER = 20.102 GPaGR = 6.9307 GPaνR = 0.45024
HillKH = 67.333 GPaEH = 29.035 GPaGH = 10.165 GPaνH = 0.42813

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
7 GPa 7 GPa 20 GPa 20 GPa 20 GPa 202 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 10.321 GPa 54.595 GPa 4.9505 TPa–1 4.9505 TPa–1 3.5 GPa 20 GPa-0.341411.211Value
Anisotropy 5.29 1.0000 5.714Anisotropy
Axis 0.0000
0.0000
1.0000
0.5774
0.5773
-0.5774
0.1294
0.9830
0.1305
0.9239
0.0000
0.3827
0.7071
-0.0003
0.7071
-0.0000
0.0000
1.0000
0.7071
0.0001
-0.7071
0.0000
0.7071
-0.7071
Axis
0.7071
-0.0005
-0.7071
-0.5000
0.8660
-0.0000
-0.7071
-0.0002
-0.7071
-1.0000
0.0000
-0.0000
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