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 Y2CdS4 (Materials Project id mp-35785)

        82       51       51        0        0        0  
        51       82       51        0        0        0  
        51       51       82        0        0        0  
         0        0        0       28        0        0  
         0        0        0        0       28        0  
         0        0        0        0        0       28  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 61.333 GPaEV = 61.333 GPaGV = 23 GPaνV = 0.33333
ReussKR = 61.333 GPaER = 56.959 GPaGR = 21.171 GPaνR = 0.34522
HillKH = 61.333 GPaEH = 59.156 GPaGH = 22.085 GPaνH = 0.33925

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
28 GPa 28 GPa 28 GPa 31 GPa 31 GPa 184 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 42.887 GPa 72.906 GPa 5.4348 TPa–1 5.4348 TPa–1 15.5 GPa 28 GPa0.1080.55478Value
Anisotropy 1.7 1.0000 1.806 5.1367Anisotropy
Axis 0.0000
0.0000
1.0000
-0.5774
0.5774
0.5773
0.9659
0.0000
0.2588
0.4330
0.7500
0.5000
0.7071
-0.0003
0.7071
-0.0000
0.0000
1.0000
0.7071
-0.0000
-0.7071
0.7071
-0.0003
-0.7071
Axis
0.7071
-0.0005
-0.7071
-0.5000
0.8660
-0.0000
-0.7071
0.0002
-0.7071
0.0002
1.0000
-0.0003
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