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 Cs2Pd3Se4 (Materials Project id mp-11694)

        45        8       21        0        0        0  
         8       12        7        0        0        0  
        21        7       42        0        0        0  
         0        0        0        6        0        0  
         0        0        0        0        9        0  
         0        0        0        0        0        1  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 19 GPaEV = 19.649 GPaGV = 7.4 GPaνV = 0.32764
ReussKR = 11.282 GPaER = 8.8914 GPaGR = 3.2483 GPaνR = 0.36865
HillKH = 15.141 GPaEH = 14.297 GPaGH = 5.3241 GPaνH = 0.34263

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
1 GPa 6 GPa 9 GPa 9.9248 GPa 22.455 GPa 66.62 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 3.6099 GPa 32.631 GPa 4.7148 TPa–1 74.965 TPa–1 1 GPa 11.222 GPa-0.450951.2191Value
Anisotropy 9.039 15.9000 11.22Anisotropy
Axis -0.6786
0.7345
-0.0000
1.0000
0.0000
0.0000
1.0000
0.0000
0.0000
0.0000
1.0000
0.0000
1.0000
-0.0001
0.0000
0.7071
-0.0002
0.7071
-0.4373
0.3475
0.8295
0.5338
0.3094
0.7870
Axis
0.0001
1.0000
0.0000
0.7071
0.0002
-0.7071
-0.5618
0.6147
-0.5537
-0.6694
0.7233
0.1696
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