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 Cs2Pt3S4 (Materials Project id mp-13992)

        62        8       37        0        0        0  
         8       15       11        0        0        0  
        37       11       63        0        0        0  
         0        0        0        6        0        0  
         0        0        0        0       11        0  
         0        0        0        0        0        1  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 28 GPaEV = 24.876 GPaGV = 9.2 GPaνV = 0.35193
ReussKR = 14.196 GPaER = 9.47 GPaGR = 3.4094 GPaνR = 0.38881
HillKH = 21.098 GPaEH = 17.201 GPaGH = 6.3047 GPaνH = 0.36412

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
1 GPa 6 GPa 11 GPa 12.599 GPa 25.808 GPa 101.59 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 3.64 GPa 40.089 GPa 0.39355 TPa–1 62.18 TPa–1 1 GPa 12.589 GPa-0.505211.3638Value
Anisotropy 11.01158.0000 12.59Anisotropy
Axis 0.6862
0.7274
0.0000
1.0000
0.0000
0.0000
0.0000
0.0000
1.0000
0.0000
1.0000
0.0000
1.0000
-0.0001
-0.0000
0.7071
0.0000
-0.7071
-0.4702
0.3071
0.8274
0.5003
0.2767
0.8204
Axis
0.0001
1.0000
0.0000
-0.7071
0.0000
-0.7071
0.5617
-0.6190
0.5489
-0.6701
0.7238
0.1645
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