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 BaSb3 (Materials Project id mp-6950)

        53       16       16        0        5        0  
        16       48       13        0       -3        0  
        16       13       49        0       -0        0  
         0        0        0       15        0       -4  
         5       -3       -0        0       17        0  
         0        0        0       -4        0       20  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 26.667 GPaEV = 42.875 GPaGV = 17.4 GPaνV = 0.23203
ReussKR = 26.537 GPaER = 40.945 GPaGR = 16.472 GPaνR = 0.24285
HillKH = 26.602 GPaEH = 41.913 GPaGH = 16.936 GPaνH = 0.2374

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
12.783 GPa 15.293 GPa 22.217 GPa 35.439 GPa 35.951 GPa 80.316 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 32.869 GPa 52.599 GPa 10.776 TPa–1 13.578 TPa–1 12.783 GPa 22.217 GPa0.0614360.41577Value
Anisotropy 1.6 1.2601 1.738 6.7675Anisotropy
Axis 0.3186
0.7256
0.6100
-0.8950
-0.0000
-0.4460
0.9876
-0.0000
0.1570
0.0000
1.0000
0.0000
0.4848
-0.0000
0.8747
0.8746
0.0000
-0.4848
0.4120
0.5745
-0.7073
0.8728
0.4787
0.0950
Axis
0.0000
1.0000
0.0000
-0.0000
1.0000
-0.0000
-0.8418
0.5370
-0.0542
-0.2763
0.6451
-0.7124
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