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 DySi2Rh3 (Materials Project id mp-30621)

       301       83      117        0        0        0  
        83      301      117        0        0        0  
       117      117      362        0        0        0  
         0        0        0       90        0        0  
         0        0        0        0       90        0  
         0        0        0        0        0      109  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 177.56 GPaEV = 254.56 GPaGV = 100.93 GPaνV = 0.26105
ReussKR = 174.42 GPaER = 251.38 GPaGR = 99.772 GPaνR = 0.25979
HillKH = 175.99 GPaEH = 252.97 GPaGH = 100.35 GPaνH = 0.26043

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
90 GPa 90 GPa 109 GPa 207.17 GPa 218 GPa 538.83 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 242.34 GPa 290.7 GPa 1.3437 TPa–1 2.1948 TPa–1 90 GPa 109 GPa0.171690.35918Value
Anisotropy 1.2 1.6333 1.211 2.0921Anisotropy
Axis 0.4836
0.6397
0.5974
0.0000
0.0000
1.0000
0.0000
0.0000
1.0000
1.0000
0.0000
0.0000
0.0000
0.0000
1.0000
0.8329
0.5534
-0.0000
0.8329
0.5535
0.0000
0.3132
0.5672
0.7617
Axis
0.4998
0.8662
-0.0000
-0.5534
0.8329
-0.0000
-0.5535
0.8329
0.0000
0.3682
0.6668
-0.6479
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