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 ScCuO2 (Materials Project id mp-4636)

       202       64       96       -1        0        0  
        64      202       96        1        0        0  
        96       96      361        0        0        0  
        -1        1        0       21        0        0  
         0        0        0        0       21       -1  
         0        0        0        0       -1       69  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 141.89 GPaEV = 148.78 GPaGV = 56.133 GPaνV = 0.32524
ReussKR = 128.47 GPaER = 101.18 GPaGR = 36.96 GPaνR = 0.36874
HillKH = 135.18 GPaEH = 125.26 GPaGH = 46.547 GPaνH = 0.34556

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
20.979 GPa 20.983 GPa 69.021 GPa 138.02 GPa 169.67 GPa 457.33 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 72.104 GPa 291.71 GPa 0.95368 TPa–1 3.4152 TPa–1 20.979 GPa 84.38 GPa0.0812870.76507Value
Anisotropy 4.046 3.5811 4.022 9.4119Anisotropy
Axis -0.6362
0.3673
0.6785
0.0000
0.0000
1.0000
0.0000
0.0000
1.0000
-0.7071
0.7071
0.0000
0.0180
-0.0104
0.9998
0.5994
0.3686
-0.7105
-0.6232
0.3598
-0.6944
-0.5370
0.3100
-0.7845
Axis
0.5000
0.8660
0.0000
-0.6058
-0.3712
-0.7037
-0.5000
-0.8660
-0.0000
-0.6795
0.3922
0.6201
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