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(CdGa)2 (Materials Project id mp-12783)

        90       14       35        0        0        0  
        14       90       35        0        0        0  
        35       35       81        0        0        0  
         0        0        0       32        0        0  
         0        0        0        0       32        0  
         0        0        0        0        0       23  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 47.667 GPaEV = 72.746 GPaGV = 29.2 GPaνV = 0.24564
ReussKR = 47.413 GPaER = 69.664 GPaGR = 27.752 GPaνR = 0.25512
HillKH = 47.54 GPaEH = 71.21 GPaGH = 28.476 GPaνH = 0.25035

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
23 GPa 32 GPa 32 GPa 41.684 GPa 76 GPa 143.32 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 56.661 GPa 81.901 GPa 5.6913 TPa–1 7.7 TPa–1 21.379 GPa 38 GPa-0.0150040.43858Value
Anisotropy 1.445 1.3529 1.777Anisotropy
Axis 0.7071
0.7071
0.0000
0.8248
-0.0000
0.5654
0.0000
0.0000
1.0000
-0.1305
0.9914
0.0000
0.4998
0.5003
0.7071
0.7071
0.7071
-0.0000
1.0000
0.0007
0.0000
1.0000
-0.0003
0.0001
Axis
0.5003
0.4997
-0.7071
-0.7071
0.7071
0.0000
-0.0007
1.0000
-0.0000
0.0001
-0.0004
-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