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 TmMnRh2 (Materials Project id mp-978995)

       215      121      121        0        0        0  
       121      215      121        0        0        0  
       121      121      215        0        0        0  
         0        0        0       46        0        0  
         0        0        0        0       46        0  
         0        0        0        0        0       46  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 152.33 GPaEV = 126.37 GPaGV = 46.4 GPaνV = 0.36174
ReussKR = 152.33 GPaER = 126.36 GPaGR = 46.395 GPaνR = 0.36175
HillKH = 152.33 GPaEH = 126.36 GPaGH = 46.397 GPaνH = 0.36175

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
46 GPa 46 GPa 46 GPa 94 GPa 94 GPa 457 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 125.38 GPa 127.85 GPa 2.1882 TPa–1 2.1882 TPa–1 46 GPa 47 GPa0.354870.36944Value
Anisotropy 1.02 1.0000 1.022 1.0411Anisotropy
Axis 0.5774
0.5773
-0.5774
0.0000
0.0000
1.0000
0.0000
0.0000
1.0000
0.9239
0.0000
0.3827
0.0000
0.0000
1.0000
0.7071
-0.0003
0.7071
0.7071
-0.0005
0.7071
0.7071
-0.0002
0.7071
Axis
0.1734
0.9849
-0.0000
0.7071
-0.0005
-0.7071
0.0004
1.0000
0.0003
0.7071
-0.0005
-0.7071
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