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 KFeS2 (Materials Project id mp-3827)

        23       12        9        0       -0        0  
        12       26       10        0       -2        0  
         9       10       73        0        0        0  
         0        0        0        3        0       -0  
        -0       -2        0        0       12        0  
         0        0        0       -0        0        8  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 20.444 GPaEV = 27.259 GPaGV = 10.667 GPaνV = 0.27778
ReussKR = 17.058 GPaER = 17.58 GPaGR = 6.6178 GPaνR = 0.32823
HillKH = 18.751 GPaEH = 22.474 GPaGH = 8.6423 GPaνH = 0.30024

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
3 GPa 8 GPa 10.808 GPa 13.494 GPa 32.263 GPa 77.435 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 10.037 GPa 68.072 GPa 6.8631 TPa–1 29.035 TPa–1 3 GPa 14.718 GPa-0.11570.8211Value
Anisotropy 6.782 4.2307 4.906Anisotropy
Axis 0.0249
0.7572
0.6527
0.0139
-0.0000
0.9999
-0.0857
0.0000
0.9963
-0.9963
0.0000
-0.0857
-0.0002
-0.0001
1.0000
-0.4070
0.5529
0.7271
0.7315
0.3832
0.5640
-0.5130
0.4423
0.7356
Axis
-0.0000
1.0000
0.0001
-0.4999
0.5314
-0.6839
-0.6781
0.4954
0.5429
0.1275
-0.8082
0.5749
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