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 Cs2Pt (Materials Project id mp-13548)

        22       18        7        0        0        0  
        18       22        7        0        0        0  
         7        7       12        0        0        0  
         0        0        0        9        0        0  
         0        0        0        0        9        0  
         0        0        0        0        0        2  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 13.333 GPaEV = 14.737 GPaGV = 5.6 GPaνV = 0.31579
ReussKR = 10.611 GPaER = 9.4416 GPaGR = 3.4925 GPaνR = 0.3517
HillKH = 11.972 GPaEH = 12.106 GPaGH = 4.5462 GPaνH = 0.33147

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
2 GPa 4 GPa 8.8536 GPa 9 GPa 9 GPa 43.146 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 7.107 GPa 12.808 GPa 13.089 TPa–1 68.063 TPa–1 2 GPa 9 GPa-0.307010.8723Value
Anisotropy 1.802 5.2000 4.5Anisotropy
Axis 1.0000
0.0001
-0.0000
-0.2174
0.5894
-0.7780
0.1305
0.9914
0.0000
0.0000
0.0000
1.0000
-0.6998
0.7144
0.0000
0.0000
0.0000
1.0000
0.6445
0.2446
-0.7244
-0.5472
0.6327
0.5480
Axis
-0.7144
-0.6998
-0.0000
0.4962
0.8682
-0.0000
-0.6773
-0.2570
-0.6894
-0.7563
-0.6542
-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