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 SrAgP (Materials Project id mp-10667)

       127       46       26        0        0        0  
        46      127       26        0        0        0  
        26       26       76        0        0        0  
         0        0        0       30        0        0  
         0        0        0        0       30        0  
         0        0        0        0        0       40  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 58.444 GPaEV = 88.498 GPaGV = 35.467 GPaνV = 0.24763
ReussKR = 53.376 GPaER = 84.597 GPaGR = 34.227 GPaνR = 0.23584
HillKH = 55.91 GPaEH = 86.557 GPaGH = 34.847 GPaνH = 0.24197

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
30 GPa 30 GPa 40 GPa 63.637 GPa 81 GPa 185.36 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 68.185 GPa 106.45 GPa 4.2387 TPa–1 10.258 TPa–1 30 GPa 40.5 GPa0.150290.31976Value
Anisotropy 1.561 2.4200 1.35 2.1276Anisotropy
Axis 0.0000
0.0000
1.0000
0.0000
1.0000
0.0000
0.2588
0.9659
0.0000
0.0000
0.0000
1.0000
0.0000
0.0000
1.0000
0.7071
0.7071
0.0000
0.0000
0.0000
1.0000
0.7071
0.7071
0.0000
Axis
0.1736
0.9848
-0.0000
-0.7071
0.7071
-0.0000
-0.7660
0.6428
0.0000
-0.7071
0.7071
-0.0000
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