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 SmZnPO (Materials Project id mp-550820)

       180       67       47       -2        0        0  
        67      180       47        2        0        0  
        47       47      164        0        0        0  
        -2        2        0       49        0        0  
         0        0        0        0       49       -2  
         0        0        0        0       -2       57  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 94 GPaEV = 138.49 GPaGV = 55.2 GPaνV = 0.25445
ReussKR = 93.256 GPaER = 136.78 GPaGR = 54.468 GPaνR = 0.25555
HillKH = 93.628 GPaEH = 137.63 GPaGH = 54.834 GPaνH = 0.255

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
48.528 GPa 48.875 GPa 57.472 GPa 113.12 GPa 127.14 GPa 283.86 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 124.56 GPa 150.55 GPa 3.2419 TPa–1 4.2394 TPa–1 48.507 GPa 62.165 GPa0.177070.32756Value
Anisotropy 1.209 1.3077 1.282 1.8499Anisotropy
Axis 0.0000
0.7236
-0.6902
0.8107
0.5806
-0.0753
-0.3827
0.9239
0.0000
0.0000
0.0000
1.0000
-0.2065
0.1210
-0.9709
0.4973
0.4680
-0.7305
0.3232
0.1906
-0.9269
1.0000
0.0004
-0.0000
Axis
-0.5041
-0.8636
-0.0004
-0.5661
-0.4630
-0.6820
-0.5064
0.8623
0.0008
-0.0004
0.9801
-0.1984
Second axis

Spatial dependence of Young's modulus



Young's modulus in (xy) plane

Young's modulus in (xz) plane

Young's modulus in (yz) plane

Spatial dependence of linear compressibility



linear compressibility in (xy) plane

linear compressibility in (xz) plane

linear compressibility in (yz) plane

Spatial dependence of shear modulus



Shear modulus in (xy) plane

Shear modulus in (xz) plane

Shear modulus in (yz) plane

Spatial dependence of Poisson's ratio



Poisson's ratio in (xy) plane

Poisson's ratio in (xz) plane

Poisson's ratio in (yz) plane