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 CdBiS2Br (Materials Project id mp-561079)

        46       19       16        0        3        0  
        19       71       21        0        4        0  
        16       21       39        0       -2        0  
         0        0        0       14        0        6  
         3        4       -2        0       17        0  
         0        0        0        6        0       21  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 29.778 GPaEV = 42.987 GPaGV = 17.067 GPaνV = 0.2594
ReussKR = 27.659 GPaER = 38.344 GPaGR = 15.108 GPaνR = 0.26895
HillKH = 28.719 GPaEH = 40.669 GPaGH = 16.088 GPaνH = 0.26398

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
10.554 GPa 15.266 GPa 24.446 GPa 26.779 GPa 37.05 GPa 93.905 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 27.861 GPa 60.765 GPa 5.4988 TPa–1 17.191 TPa–1 10.554 GPa 24.446 GPa0.0960410.50112Value
Anisotropy 2.181 3.1263 2.316 5.2178Anisotropy
Axis 0.2251
0.0000
0.9743
-0.4551
0.8388
-0.2989
0.0000
1.0000
0.0000
-0.2359
0.0000
0.9718
0.0000
1.0000
0.0000
-0.8672
-0.0000
-0.4980
0.8795
0.4010
-0.2563
0.6083
0.7173
-0.3398
Axis
-0.4981
-0.0000
0.8671
0.0000
-1.0000
-0.0000
-0.4743
0.7828
-0.4029
-0.1634
0.5322
0.8307
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