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 Y2Si2O7 (Materials Project id mp-5652)

       266      101      112        0      -18        0  
       101      195       99        0       38        0  
       112       99      187        0       -5        0  
         0        0        0       65        0       26  
       -18       38       -5        0       88        0  
         0        0        0       26        0       61  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 141.33 GPaEV = 169.53 GPaGV = 65.2 GPaνV = 0.30008
ReussKR = 136.26 GPaER = 141.86 GPaGR = 53.471 GPaνR = 0.32648
HillKH = 138.8 GPaEH = 155.8 GPaGH = 59.336 GPaνH = 0.31291

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
36.923 GPa 55.537 GPa 89.077 GPa 99.911 GPa 151.38 GPa 429.17 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 98.054 GPa 261.69 GPa 1.1392 TPa–1 3.2016 TPa–1 36.147 GPa 101.74 GPa0.0582320.6671Value
Anisotropy 2.669 2.8103 2.815 11.4558Anisotropy
Axis -0.4146
0.8310
0.3710
-0.8302
-0.0000
0.5574
0.9635
-0.0000
0.2678
0.0000
1.0000
0.0000
0.3128
0.7016
0.6403
-0.2468
0.5204
0.8175
0.0001
1.0000
0.0001
0.7300
-0.0001
0.6835
Axis
-0.3753
0.7105
-0.5952
-0.8758
-0.4809
0.0417
-0.7997
0.0000
0.6003
0.0000
1.0000
0.0001
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