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 Sc2TcHg (Materials Project id mp-862375)

       134      100      100        0        0        0  
       100      134      100        0        0        0  
       100      100      134        0        0        0  
         0        0        0       39        0        0  
         0        0        0        0       39        0  
         0        0        0        0        0       39  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 111.33 GPaEV = 83.087 GPaGV = 30.2 GPaνV = 0.37562
ReussKR = 111.33 GPaER = 71.585 GPaGR = 25.698 GPaνR = 0.39284
HillKH = 111.33 GPaEH = 77.372 GPaGH = 27.949 GPaνH = 0.38417

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
34 GPa 34 GPa 39 GPa 39 GPa 39 GPa 334 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 48.53 GPa 104.77 GPa 2.994 TPa–1 2.994 TPa–1 17 GPa 39 GPa0.0414530.71533Value
Anisotropy 2.159 1.0000 2.294 17.2566Anisotropy
Axis 0.0000
0.0000
1.0000
-0.5774
0.5774
-0.5773
0.3696
0.8924
0.2588
0.0000
0.0000
1.0000
0.7071
-0.0003
0.7071
0.0000
0.0000
1.0000
0.7071
-0.0000
-0.7071
-0.0000
0.7071
0.7071
Axis
0.7071
-0.0005
-0.7071
-0.7660
0.6428
-0.0000
-0.7071
0.0002
-0.7071
-1.0000
-0.0000
0.0000
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