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 BaDyCuTe3 (Materials Project id mp-9503)

        74       24       16        0        0        0  
        24       51       26        0        0        0  
        16       26       77        0        0        0  
         0        0        0       29        0        0  
         0        0        0        0       21        0  
         0        0        0        0        0        4  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 37.111 GPaEV = 50.575 GPaGV = 19.867 GPaνV = 0.27287
ReussKR = 36.515 GPaER = 31.475 GPaGR = 11.603 GPaνR = 0.35634
HillKH = 36.813 GPaEH = 41.318 GPaGH = 15.735 GPaνH = 0.31294

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
4 GPa 21 GPa 29 GPa 30.498 GPa 59.431 GPa 112.07 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 14.322 GPa 70.675 GPa 7.2169 TPa–1 12.159 TPa–1 4 GPa 29.728 GPa-0.358191.0132Value
Anisotropy 4.935 1.6849 7.432Anisotropy
Axis 0.6871
0.7266
0.0000
-0.0000
0.5119
0.8591
0.0000
0.0000
1.0000
0.0000
1.0000
0.0000
1.0000
-0.0001
-0.0000
0.7071
-0.0000
-0.7071
0.3534
0.4949
0.7939
-0.4935
0.4767
-0.7275
Axis
0.0001
1.0000
-0.0000
-0.7071
0.0002
-0.7071
-0.5769
-0.5528
0.6014
-0.7132
-0.7006
0.0247
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