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 CrPt3 (Materials Project id mp-2515)

       332      180      180        0        0        0  
       180      332      180        0        0        0  
       180      180      332        0        0        0  
         0        0        0      115        0        0  
         0        0        0        0      115        0  
         0        0        0        0        0      115  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 230.67 GPaEV = 260.75 GPaGV = 99.4 GPaνV = 0.3116
ReussKR = 230.67 GPaER = 251.56 GPaGR = 95.415 GPaνR = 0.31824
HillKH = 230.67 GPaEH = 256.16 GPaGH = 97.407 GPaνH = 0.31491

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
115 GPa 115 GPa 115 GPa 152 GPa 152 GPa 692 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 205.44 GPa 295.84 GPa 1.4451 TPa–1 1.4451 TPa–1 76 GPa 115 GPa0.158770.45609Value
Anisotropy 1.44 1.0000 1.513 2.8726Anisotropy
Axis 0.0000
1.0000
0.0000
0.5774
0.5774
0.5773
0.9347
0.0000
0.3553
0.1384
0.9829
0.1216
0.7071
0.0001
-0.7071
0.0000
0.0000
1.0000
0.7071
-0.0000
-0.7071
0.7071
-0.0001
0.7071
Axis
-0.7071
-0.0002
-0.7071
0.7660
0.6428
-0.0000
-0.7071
0.0002
-0.7071
0.0001
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