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 Er2Fe2Si2C (Materials Project id mp-1025354)

       242       94       84        0      -41        0  
        94      260       83        0       13        0  
        84       83      229        0       14        0  
         0        0        0       96        0       17  
       -41       13       14        0       96        0  
         0        0        0       17        0       94  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 139.22 GPaEV = 219.15 GPaGV = 88.533 GPaνV = 0.23765
ReussKR = 138.41 GPaER = 203.9 GPaGR = 81.271 GPaνR = 0.25448
HillKH = 138.82 GPaEH = 211.57 GPaGH = 84.902 GPaνH = 0.24598

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
71.234 GPa 77.971 GPa 112.03 GPa 159.97 GPa 176.81 GPa 418.98 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 139.1 GPa 275.47 GPa 2.0819 TPa–1 2.7924 TPa–1 55.343 GPa 117.24 GPa0.0614740.45167Value
Anisotropy 1.98 1.3412 2.118 7.3472Anisotropy
Axis -0.9337
0.0000
-0.3581
0.8612
-0.0000
-0.5082
0.0000
1.0000
0.0000
0.4825
0.0000
0.8759
-0.8922
-0.0000
0.4516
-0.3213
0.4456
0.8356
0.8944
-0.0000
-0.4473
0.3203
0.5251
-0.7885
Axis
-0.4516
0.0001
-0.8922
-0.9275
-0.3263
-0.1825
-0.4473
0.0002
-0.8944
-0.9465
0.2117
-0.2435
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