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 Fe2N (Materials Project id mp-248)

       355      160      208       -0      -19       -1  
       160      355      208       -0       18        1  
       208      208      336       -1       -0       -0  
        -0       -0       -1      102        0       19  
       -19       18       -0        0      102        0  
        -1        1       -0       19        0       99  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 244.22 GPaEV = 245.05 GPaGV = 91.933 GPaνV = 0.33277
ReussKR = 243.69 GPaER = 230.06 GPaGR = 85.674 GPaνR = 0.34266
HillKH = 243.96 GPaEH = 237.58 GPaGH = 88.804 GPaνH = 0.33769

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
81.419 GPa 95.141 GPa 117.84 GPa 119.76 GPa 201.87 GPa 732.97 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 167.95 GPa 305.21 GPa 1.1441 TPa–1 1.4814 TPa–1 64.243 GPa 119.57 GPa0.118810.55451Value
Anisotropy 1.817 1.2948 1.861 4.6673Anisotropy
Axis -0.0038
0.0093
0.9999
-0.4147
0.7040
-0.5765
-0.0223
-0.0175
0.9996
-0.9564
0.2914
-0.0163
0.6367
0.0903
0.7658
0.6788
0.0082
0.7342
-0.8557
0.5173
-0.0154
0.8515
0.5244
-0.0028
Axis
0.7655
0.0460
-0.6418
-0.0068
1.0000
-0.0049
-0.4980
-0.8311
-0.2476
-0.1363
0.2264
0.9645
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