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 Sm3Pd (Materials Project id mp-978832)

      -107      226       15        0        0        0  
       226     -107       15        0        0        0  
        15       15       64        0        0        0  
         0        0        0        9        0        0  
         0        0        0        0        9        0  
         0        0        0        0        0       17  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 40.222 GPaEV = -72.208 GPaGV = -20.067 GPaνV = 0.7992
ReussKR = 38.321 GPaER = 42.588 GPaGR = 16.196 GPaνR = 0.31477
HillKH = 39.272 GPaEH = -5.9029 GPaGH = -1.9353 GPaνH = 0.52505

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
-333 GPa 9 GPa 9 GPa 17 GPa 56.769 GPa 126.23 GPa
Stiffness matrix is not definite positive, crystal is mechanically unstable
No further analysis will be performed.