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 V5Sb4 (Materials Project id mp-30536)

       142       55       55        0        0        0  
        55      137       86       -2        0        0  
        55       86      137        2        0        0  
         0       -2        2       69        0        0  
         0        0        0        0       73        0  
         0        0        0        0        0       73  

Average properties

Averaging scheme	Bulk modulus	Young's modulus	Shear modulus	Poisson's ratio
Voigt	KV = 89.778 GPa	EV = 142.49 GPa	GV = 57.667 GPa	νV = 0.23547
Reuss	KR = 89.254 GPa	ER = 124.04 GPa	GR = 48.897 GPa	νR = 0.26838
Hill	KH = 89.516 GPa	EH = 133.38 GPa	GH = 53.282 GPa	νH = 0.25166

Eigenvalues of the stiffness matrix

λ1	λ2	λ3	λ4	λ5	λ6
50.566 GPa	69.434 GPa	73 GPa	73 GPa	94.806 GPa	270.19 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	79.296 GPa	169.79 GPa	3.3963 TPa–1	4.4113 TPa–1	25.408 GPa	73 GPa	-0.10863	0.62658	Value
Anisotropy	2.141		1.2989		2.873		∞		Anisotropy
Axis	-0.0000 -0.0229 0.9997	-0.5446 0.5793 0.6065	0.0000 0.1305 0.9914	1.0000 0.0000 0.0000	-0.0001 0.6907 0.7232	0.0000 0.0000 1.0000	0.7184 -0.0160 0.6955	0.5782 -0.0187 0.8157	Axis
					0.0001 0.7232 -0.6907	-1.0000 0.0000 0.0000	0.6956 0.0165 -0.7182	-0.0000 0.9997 0.0229	Second axis

Spatial dependence of Young's modulus

[[142.0, 55.0, 55.0, 0.0, 0.0, 0.0], [55.0, 137.0, 86.0, -2.0, 0.0, 0.0], [55.0, 86.0, 137.0, 2.0, 0.0, 0.0], [0.0, -2.0, 2.0, 69.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 73.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 73.0]] V5Sb4 (Materials Project id <a href="https://www.materialsproject.org/materials/mp-30536" target="_blank">mp-30536</a>) young

Spatial dependence of linear compressibility

[[142.0, 55.0, 55.0, 0.0, 0.0, 0.0], [55.0, 137.0, 86.0, -2.0, 0.0, 0.0], [55.0, 86.0, 137.0, 2.0, 0.0, 0.0], [0.0, -2.0, 2.0, 69.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 73.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 73.0]] V5Sb4 (Materials Project id <a href="https://www.materialsproject.org/materials/mp-30536" target="_blank">mp-30536</a>) lc

Spatial dependence of shear modulus

[[142.0, 55.0, 55.0, 0.0, 0.0, 0.0], [55.0, 137.0, 86.0, -2.0, 0.0, 0.0], [55.0, 86.0, 137.0, 2.0, 0.0, 0.0], [0.0, -2.0, 2.0, 69.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 73.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 73.0]] V5Sb4 (Materials Project id <a href="https://www.materialsproject.org/materials/mp-30536" target="_blank">mp-30536</a>) shear

Spatial dependence of Poisson's ratio

[[142.0, 55.0, 55.0, 0.0, 0.0, 0.0], [55.0, 137.0, 86.0, -2.0, 0.0, 0.0], [55.0, 86.0, 137.0, 2.0, 0.0, 0.0], [0.0, -2.0, 2.0, 69.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 73.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 73.0]] V5Sb4 (Materials Project id <a href="https://www.materialsproject.org/materials/mp-30536" target="_blank">mp-30536</a>) poisson

Code version: 2020.07.26 (running on Python 3.7.2)