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 Sc (Materials Project id mp-10641)

        46       50       66        0        0        0  
        50       52       50        0        0        0  
        66       50       46        0        0        0  
         0        0        0       29        0        0  
         0        0        0        0       33        0  
         0        0        0        0        0       29  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 52.889 GPaEV = 45.411 GPaGV = 16.733 GPaνV = 0.3569
ReussKR = 51.5 GPaER = 35.993 GPaGR = 13.008 GPaνR = 0.38352
HillKH = 52.194 GPaEH = 40.743 GPaGH = 14.871 GPaνH = 0.3699

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
-20 GPa 5.1885 GPa 29 GPa 29 GPa 33 GPa 158.81 GPa
Stiffness matrix is not definite positive, crystal is mechanically unstable
No further analysis will be performed.