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 Ba(CdSb)2 (Materials Project id mp-8150)

        68       22       21        4        0        0  
        22       68       21       -4        0        0  
        21       21       58        0        0        0  
         4       -4        0       14        0        0  
         0        0        0        0       14        4  
         0        0        0        0        4       23  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 35.778 GPaEV = 48.138 GPaGV = 18.867 GPaνV = 0.27575
ReussKR = 35.557 GPaER = 44.354 GPaGR = 17.164 GPaνR = 0.2921
HillKH = 35.668 GPaEH = 46.257 GPaGH = 18.015 GPaνH = 0.28385

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
12.479 GPa 13.029 GPa 24.521 GPa 40.266 GPa 46.971 GPa 107.73 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 33.934 GPa 59.557 GPa 8.5293 TPa–1 11.065 TPa–1 12.479 GPa 24.521 GPa0.0666210.50603Value
Anisotropy 1.755 1.2973 1.965 7.5957Anisotropy
Axis -0.6463
0.3731
-0.6656
0.8487
0.4900
0.1988
-0.3827
0.9239
0.0000
0.0000
0.0000
1.0000
-0.3078
0.1777
0.9347
-0.5000
0.8660
0.0000
-0.5919
0.3417
0.7300
0.5772
0.3332
0.7456
Axis
-0.5000
-0.8660
-0.0000
-0.8095
-0.4673
0.3554
-0.5000
-0.8660
0.0000
0.6457
0.3727
-0.6664
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