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 Cr3Te4 (Materials Project id mp-570122)

        77       26       16       -2        0        0  
        26       77       16        2        0        0  
        16       16       30        0        0        0  
        -2        2        0       11        0        0  
         0        0        0        0       11       -2  
         0        0        0        0       -2       25  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 33.333 GPaEV = 45.331 GPaGV = 17.8 GPaνV = 0.27334
ReussKR = 26.04 GPaER = 36.907 GPaGR = 14.602 GPaνR = 0.26379
HillKH = 29.687 GPaEH = 41.122 GPaGH = 16.201 GPaνH = 0.26913

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
10.72 GPa 10.801 GPa 23.555 GPa 25.28 GPa 51.199 GPa 109.44 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 25.019 GPa 64.529 GPa 5.4306 TPa–1 27.541 TPa–1 10.72 GPa 25.765 GPa0.103840.46007Value
Anisotropy 2.579 5.0714 2.403 4.4308Anisotropy
Axis 0.1849
0.1069
0.9769
-0.0000
0.9973
0.0735
0.9912
0.1321
-0.0000
0.0000
0.0000
1.0000
0.0000
0.1387
0.9903
0.7071
0.7008
0.0939
0.0000
0.6565
0.7544
1.0000
-0.0000
-0.0000
Axis
1.0000
-0.0000
-0.0000
-0.7071
0.7009
0.0939
-1.0000
-0.0000
0.0000
-0.0000
0.5008
-0.8656
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