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 DyHO2 (Materials Project id mp-777422)

       134       74       58        0        0        0  
        74      154       66        0        0        0  
        58       66      232        0        0        0  
         0        0        0       51        0        0  
         0        0        0        0       54        0  
         0        0        0        0        0       82  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 101.78 GPaEV = 148.06 GPaGV = 58.867 GPaνV = 0.25755
ReussKR = 98.166 GPaER = 135.98 GPaGR = 53.571 GPaνR = 0.26914
HillKH = 99.972 GPaEH = 142.03 GPaGH = 56.219 GPaνH = 0.26321

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
51 GPa 54 GPa 69.327 GPa 82 GPa 137.22 GPa 313.45 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 95.05 GPa 196.7 GPa 2.1999 TPa–1 4.6896 TPa–1 34.764 GPa 82 GPa0.0573960.48117Value
Anisotropy 2.069 2.1317 2.359 8.3834Anisotropy
Axis 1.0000
0.0000
0.0000
0.0000
0.0000
1.0000
0.0000
0.0000
1.0000
1.0000
0.0000
0.0000
-0.7071
0.7071
0.0000
1.0000
-0.0001
-0.0000
-0.7087
0.7055
0.0000
-0.0000
1.0000
0.0001
Axis
-0.7071
-0.7071
-0.0000
0.0001
1.0000
-0.0000
-0.7055
-0.7087
0.0000
-1.0000
-0.0000
-0.0000
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