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 SrDy2O4 (Materials Project id mp-556075)

       164       59       65        0        0        0  
        59      214       78        0        0        0  
        65       78      264        0        0        0  
         0        0        0       64        0        0  
         0        0        0        0       54        0  
         0        0        0        0        0       58  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 116.22 GPaEV = 163.36 GPaGV = 64.533 GPaνV = 0.26573
ReussKR = 110.81 GPaER = 158.23 GPaGR = 62.689 GPaνR = 0.26201
HillKH = 113.52 GPaEH = 160.8 GPaGH = 63.611 GPaνH = 0.26391

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
54 GPa 58 GPa 64 GPa 122.95 GPa 159.16 GPa 359.89 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 136.95 GPa 222.76 GPa 1.8956 TPa–1 4.3446 TPa–1 54 GPa 79.489 GPa0.184450.35792Value
Anisotropy 1.627 2.2920 1.472 1.9405Anisotropy
Axis 0.9031
0.0000
0.4294
0.0000
0.0000
1.0000
0.0000
0.0000
1.0000
1.0000
0.0000
0.0000
0.0000
0.0000
1.0000
-0.0003
0.7071
-0.7071
0.9653
0.2613
0.0000
0.5693
0.0001
0.8221
Axis
-1.0000
0.0000
0.0000
-0.0003
-0.7071
-0.7071
-0.0000
0.0000
1.0000
0.8221
0.0004
-0.5693
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