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 HfZn3 (Materials Project id mp-866108)

       109      128       69        0        0        0  
       128      109       69        0        0        0  
        69       69      176        0        0        0  
         0        0        0       40        0        0  
         0        0        0        0       40        0  
         0        0        0        0        0       -9  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 102.89 GPaEV = 63.522 GPaGV = 22.733 GPaνV = 0.3971
ReussKR = 102.84 GPaER = -114.51 GPaGR = -33.968 GPaνR = 0.68558
HillKH = 102.87 GPaEH = -17.165 GPaGH = -5.6174 GPaνH = 0.52781

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
-19 GPa -9 GPa 40 GPa 40 GPa 104.26 GPa 308.74 GPa
Stiffness matrix is not definite positive, crystal is mechanically unstable
No further analysis will be performed.