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 Te (Materials Project id mp-570459)

        63        9       36        0       21        0  
         9       22       59        0      -18        0  
        36       59      116        0       -5        0  
         0        0        0       29        0       -5  
        21      -18       -5        0       42        0  
         0        0        0       -5        0       -1  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 45.444 GPaEV = 53.386 GPaGV = 20.467 GPaνV = 0.30421
ReussKR = -13416 GPaER = -24.784 GPaGR = -8.2632 GPaνR = 0.49969
HillKH = -6685.2 GPaEH = 18.311 GPaGH = 6.1017 GPaνH = 0.50046

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
-10.294 GPa-1.8114 GPa 22.355 GPa 29.811 GPa 72.477 GPa 158.46 GPa
Stiffness matrix is not definite positive, crystal is mechanically unstable
No further analysis will be performed.