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 Sc3FeC4 (Materials Project id mp-3155)

       373       91      116        0        0        0  
        91      339      104        0        0        0  
       116      104      277        0        0        0  
         0        0        0      123        0        0  
         0        0        0        0      129        0  
         0        0        0        0        0      131  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 179 GPaEV = 297.84 GPaGV = 121.8 GPaνV = 0.22268
ReussKR = 177.15 GPaER = 292.56 GPaGR = 119.43 GPaνR = 0.22476
HillKH = 178.08 GPaEH = 295.2 GPaGH = 120.62 GPaνH = 0.22371

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
123 GPa 129 GPa 131 GPa 184.71 GPa 263.72 GPa 540.57 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 222.84 GPa 325.07 GPa 1.5223 TPa–1 2.2813 TPa–1 99.552 GPa 132.16 GPa0.146250.35938Value
Anisotropy 1.459 1.4986 1.328 2.4573Anisotropy
Axis 0.0000
0.0000
1.0000
0.8992
-0.0000
0.4376
1.0000
0.0000
0.0000
0.0000
0.0000
1.0000
-0.0000
0.7071
0.7071
0.7071
0.7071
0.0000
0.0000
1.0000
-0.0000
1.0000
-0.0004
-0.0000
Axis
-0.0000
0.7071
-0.7071
-0.7071
0.7071
0.0000
-1.0000
0.0000
-0.0000
-0.0000
-0.0003
-1.0000
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