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 AlAu (Materials Project id mp-10871)

        99      171      171        0        0        0  
       171       99      171        0        0        0  
       171      171       99        0        0        0  
         0        0        0      -14        0        0  
         0        0        0        0      -14        0  
         0        0        0        0        0      -14  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 147 GPaEV = -72.129 GPaGV = -22.8 GPaνV = 0.58178
ReussKR = 147 GPaER = -58.026 GPaGR = -18.529 GPaνR = 0.56579
HillKH = 147 GPaEH = -65.042 GPaGH = -20.665 GPaνH = 0.57374

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
-72 GPa -72 GPa -14 GPa -14 GPa -14 GPa 441 GPa
Stiffness matrix is not definite positive, crystal is mechanically unstable
No further analysis will be performed.