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 CrCuS2 (Materials Project id mp-5862)

       140       55       68       -6        0        0  
        55      140       68        6        0        0  
        68       68      204        0        0        0  
        -6        6        0       35        0        0  
         0        0        0        0       35       -6  
         0        0        0        0       -6       43  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 96.222 GPaEV = 110.3 GPaGV = 42.133 GPaνV = 0.30895
ReussKR = 92.242 GPaER = 104.55 GPaGR = 39.873 GPaνR = 0.31109
HillKH = 94.232 GPaEH = 107.43 GPaGH = 41.003 GPaνH = 0.30999

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
31.789 GPa 33.599 GPa 46.211 GPa 86.401 GPa 103.23 GPa 295.77 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 85.433 GPa 156.57 GPa 1.9324 TPa–1 4.4543 TPa–1 31.703 GPa 50.725 GPa0.153770.52427Value
Anisotropy 1.833 2.3051 1.6 3.4094Anisotropy
Axis -0.0000
0.8363
-0.5482
0.0000
0.0000
1.0000
0.0000
0.0000
1.0000
-0.1726
0.9850
-0.0000
-0.4160
0.2426
-0.8764
0.5153
0.3628
-0.7764
0.5836
0.3419
-0.7365
0.4699
0.2746
-0.8389
Axis
-0.5032
-0.8641
-0.0004
-0.6607
-0.4088
-0.6296
-0.5049
0.8632
0.0006
-0.7247
-0.4225
-0.5443
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