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 Te(HO)6 (Materials Project id mp-30981)

        67        8       23        0      -19        0  
         8       51       16        0        3        0  
        23       16       45        0       -3        0  
         0        0        0       20        0        2  
       -19        3       -3        0       28        0  
         0        0        0        2        0       13  

Average properties

Averaging scheme	Bulk modulus	Young's modulus	Shear modulus	Poisson's ratio
Voigt	KV = 28.556 GPa	EV = 48.512 GPa	GV = 19.933 GPa	νV = 0.21686
Reuss	KR = 27.036 GPa	ER = 41.486 GPa	GR = 16.671 GPa	νR = 0.24426
Hill	KH = 27.796 GPa	EH = 45.024 GPa	GH = 18.302 GPa	νH = 0.23003

Eigenvalues of the stiffness matrix

λ1	λ2	λ3	λ4	λ5	λ6
12.469 GPa	18.251 GPa	20.531 GPa	27.571 GPa	53.571 GPa	91.607 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	33.053 GPa	94.501 GPa	7.9288 TPa–1	15.463 TPa–1	12.187 GPa	30.245 GPa	0.032738	0.53145	Value
Anisotropy	2.859		1.9503		2.482		16.2338		Anisotropy
Axis	0.7349 0.6758 0.0565	0.8543 -0.0000 -0.5198	0.7469 -0.0000 -0.6649	0.6649 -0.0000 0.7469	-0.4639 0.4333 -0.7727	0.8107 0.5842 0.0394	-0.4227 0.5368 -0.7302	0.5024 0.4728 -0.7239	Axis
					-0.7806 0.2123 0.5878	-0.4057 0.5119 0.7572	-0.7342 0.2695 0.6231	-0.7678 0.6290 -0.1221	Second axis

Spatial dependence of Young's modulus

[[67.0, 8.0, 23.0, 0.0, -19.0, 0.0], [8.0, 51.0, 16.0, 0.0, 3.0, 0.0], [23.0, 16.0, 45.0, 0.0, -3.0, 0.0], [0.0, 0.0, 0.0, 20.0, 0.0, 2.0], [-19.0, 3.0, -3.0, 0.0, 28.0, 0.0], [0.0, 0.0, 0.0, 2.0, 0.0, 13.0]] Te(HO)6 (Materials Project id <a href="https://www.materialsproject.org/materials/mp-30981" target="_blank">mp-30981</a>) young

Spatial dependence of linear compressibility

[[67.0, 8.0, 23.0, 0.0, -19.0, 0.0], [8.0, 51.0, 16.0, 0.0, 3.0, 0.0], [23.0, 16.0, 45.0, 0.0, -3.0, 0.0], [0.0, 0.0, 0.0, 20.0, 0.0, 2.0], [-19.0, 3.0, -3.0, 0.0, 28.0, 0.0], [0.0, 0.0, 0.0, 2.0, 0.0, 13.0]] Te(HO)6 (Materials Project id <a href="https://www.materialsproject.org/materials/mp-30981" target="_blank">mp-30981</a>) lc

Spatial dependence of shear modulus

[[67.0, 8.0, 23.0, 0.0, -19.0, 0.0], [8.0, 51.0, 16.0, 0.0, 3.0, 0.0], [23.0, 16.0, 45.0, 0.0, -3.0, 0.0], [0.0, 0.0, 0.0, 20.0, 0.0, 2.0], [-19.0, 3.0, -3.0, 0.0, 28.0, 0.0], [0.0, 0.0, 0.0, 2.0, 0.0, 13.0]] Te(HO)6 (Materials Project id <a href="https://www.materialsproject.org/materials/mp-30981" target="_blank">mp-30981</a>) shear

Spatial dependence of Poisson's ratio

[[67.0, 8.0, 23.0, 0.0, -19.0, 0.0], [8.0, 51.0, 16.0, 0.0, 3.0, 0.0], [23.0, 16.0, 45.0, 0.0, -3.0, 0.0], [0.0, 0.0, 0.0, 20.0, 0.0, 2.0], [-19.0, 3.0, -3.0, 0.0, 28.0, 0.0], [0.0, 0.0, 0.0, 2.0, 0.0, 13.0]] Te(HO)6 (Materials Project id <a href="https://www.materialsproject.org/materials/mp-30981" target="_blank">mp-30981</a>) poisson

Code version: 2020.07.26 (running on Python 3.7.2)