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 TiAlRh2 (Materials Project id mp-866153)

       172      204      204        0        0        0  
       204      172      204        0        0        0  
       204      204      172        0        0        0  
         0        0        0       92        0        0  
         0        0        0        0       92        0  
         0        0        0        0        0       92  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 193.33 GPaEV = 135.04 GPaGV = 48.8 GPaνV = 0.38359
ReussKR = 193.33 GPaER = -179.06 GPaGR = -54.118 GPaνR = 0.65436
HillKH = 193.33 GPaEH = -8.0132 GPaGH = -2.6588 GPaνH = 0.50691

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
-32 GPa -32 GPa 92 GPa 92 GPa 92 GPa 580 GPa
Stiffness matrix is not definite positive, crystal is mechanically unstable
No further analysis will be performed.