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 BeSiAs2 (Materials Project id mp-1009087)

       130       47       45        0        0        0  
        47      130       45        0        0        0  
        45       45      128        0        0        0  
         0        0        0       70        0        0  
         0        0        0        0       70        0  
         0        0        0        0        0       68  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 73.556 GPaEV = 138.41 GPaGV = 58.333 GPaνV = 0.18638
ReussKR = 73.542 GPaER = 131.86 GPaGR = 54.889 GPaνR = 0.20117
HillKH = 73.549 GPaEH = 135.16 GPaGH = 56.611 GPaνH = 0.19373

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
68 GPa 70 GPa 70 GPa 83 GPa 84.307 GPa 220.69 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 105.12 GPa 158.24 GPa 4.4609 TPa–1 4.6759 TPa–1 41.992 GPa 70 GPa0.00513470.35235Value
Anisotropy 1.505 1.0482 1.667 68.6218Anisotropy
Axis 0.0000
0.0000
1.0000
0.5774
0.5774
0.5772
1.0000
0.0001
-0.0000
0.0000
0.0000
1.0000
0.7071
-0.0002
0.7071
0.0000
0.0000
1.0000
0.7071
0.0001
-0.7071
0.7261
-0.0002
0.6875
Axis
0.7071
-0.0006
-0.7071
0.7660
0.6428
-0.0000
-0.7071
-0.0002
-0.7071
0.0001
1.0000
0.0001
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