ELATE: Elastic tensor analysis

Welcome to ELATE, the online tool for analysis of elastic tensors, developed by Romain Gaillac and François-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 DyZn2 (Materials Project id mp-570093)

       114       52       37        0        0        0  
        52       99       47        0        0        0  
        37       47      140        0        0        0  
         0        0        0       50        0        0  
         0        0        0        0       34        0  
         0        0        0        0        0       36  

Average properties

Averaging scheme	Bulk modulus	Young's modulus	Shear modulus	Poisson's ratio
Voigt	KV = 69.444 GPa	EV = 97.414 GPa	GV = 38.467 GPa	νV = 0.26621
Reuss	KR = 68.923 GPa	ER = 92.766 GPa	GR = 36.359 GPa	νR = 0.27568
Hill	KH = 69.184 GPa	EH = 95.097 GPa	GH = 37.413 GPa	νH = 0.27091

Eigenvalues of the stiffness matrix

λ1	λ2	λ3	λ4	λ5	λ6
34 GPa	36 GPa	50 GPa	51.687 GPa	91.942 GPa	209.37 GPa

Variations of the elastic moduli

	Young's modulus		Linear compressibility		Shear modulus		Poisson's ratio
	Emin	Emax	βmin	βmax	Gmin	Gmax	νmin	νmax
Value	68.191 GPa	121.92 GPa	3.9488 TPa–1	5.6443 TPa–1	26.658 GPa	50 GPa	0.10463	0.47558	Value
Anisotropy	1.788		1.4294		1.876		4.5455		Anisotropy
Axis	0.0000 1.0000 0.0000	-0.0000 0.4514 0.8923	0.0000 0.0000 1.0000	0.0000 1.0000 0.0000	0.7071 0.7071 0.0000	-0.0006 -0.0006 1.0000	1.0000 0.0002 -0.0000	1.0000 0.0003 -0.0000	Axis
					-0.7071 0.7071 -0.0000	-0.0000 1.0000 0.0006	-0.0000 0.0000 -1.0000	-0.0003 1.0000 -0.0000	Second axis

Spatial dependence of Young's modulus

[[114.0, 52.0, 37.0, 0.0, 0.0, 0.0], [52.0, 99.0, 47.0, 0.0, 0.0, 0.0], [37.0, 47.0, 140.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 50.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 34.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 36.0]] DyZn2 (Materials Project id <a href="https://www.materialsproject.org/materials/mp-570093" target="_blank">mp-570093</a>) young

Spatial dependence of linear compressibility

[[114.0, 52.0, 37.0, 0.0, 0.0, 0.0], [52.0, 99.0, 47.0, 0.0, 0.0, 0.0], [37.0, 47.0, 140.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 50.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 34.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 36.0]] DyZn2 (Materials Project id <a href="https://www.materialsproject.org/materials/mp-570093" target="_blank">mp-570093</a>) lc

Spatial dependence of shear modulus

[[114.0, 52.0, 37.0, 0.0, 0.0, 0.0], [52.0, 99.0, 47.0, 0.0, 0.0, 0.0], [37.0, 47.0, 140.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 50.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 34.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 36.0]] DyZn2 (Materials Project id <a href="https://www.materialsproject.org/materials/mp-570093" target="_blank">mp-570093</a>) shear

Spatial dependence of Poisson's ratio

[[114.0, 52.0, 37.0, 0.0, 0.0, 0.0], [52.0, 99.0, 47.0, 0.0, 0.0, 0.0], [37.0, 47.0, 140.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 50.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 34.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 36.0]] DyZn2 (Materials Project id <a href="https://www.materialsproject.org/materials/mp-570093" target="_blank">mp-570093</a>) poisson

Code version: 2019.01.09 (running on Python 3.7.2)