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 UMn2 (Materials Project id mp-567695)

       236      203      159        0        0        0  
       203      294      208        0        0        0  
       159      208      357        0        0        0  
         0        0        0       30        0        0  
         0        0        0        0      -12        0  
         0        0        0        0        0       15  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 225.22 GPaEV = 79.92 GPaGV = 27.733 GPaνV = 0.44086
ReussKR = 213.43 GPaER = 207.47 GPaGR = 77.53 GPaνR = 0.33799
HillKH = 219.32 GPaEH = 146.2 GPaGH = 52.632 GPaνH = 0.3889

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
-12 GPa 15 GPa 30 GPa 57.979 GPa 147.97 GPa 681.05 GPa
Stiffness matrix is not definite positive, crystal is mechanically unstable
No further analysis will be performed.