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 Si3Pt2 (Materials Project id mp-10744)

       213      155       96        0        0        0  
       155      213       96        0        0        0  
        96       96      335        0        0        0  
         0        0        0        7        0        0  
         0        0        0        0        7        0  
         0        0        0        0        0       29

Average properties

Averaging scheme	Bulk modulus	Young's modulus	Shear modulus	Poisson's ratio
Voigt	K_V = 161.67 GPa	E_V = 101.06 GPa	G_V = 36.2 GPa	ν_V = 0.39582
Reuss	K_R = 160.32 GPa	E_R = 40.072 GPa	G_R = 13.739 GPa	ν_R = 0.45834
Hill	K_H = 160.99 GPa	E_H = 71.226 GPa	G_H = 24.969 GPa	ν_H = 0.42626

Eigenvalues of the stiffness matrix

λ₁	λ₂	λ₃	λ₄	λ₅	λ₆
7 GPa	7 GPa	29 GPa	58 GPa	214.74 GPa	488.26 GPa

Variations of the elastic moduli

	Young's modulus		Linear compressibility		Shear modulus		Poisson's ratio
	E_min	E_max	β_min	β_max	G_min	G_max	ν_min	ν_max
Value	25.789 GPa	284.91 GPa	1.6786 TPa^–1	2.2795 TPa^–1	7 GPa	64.27 GPa	0.084033	0.8581	Value
Anisotropy	11.05		1.3580		9.181		10.2115		Anisotropy
Axis	0.6772 0.2604 0.6882	0.0000 0.0000 1.0000	0.0000 0.0000 1.0000	1.0000 0.0000 0.0000	-0.0000 -0.0000 1.0000	0.3283 0.6263 -0.7071	0.3611 0.3323 -0.8713	-0.4931 0.3122 0.8120	Axis
					1.0000 0.0002 0.0000	-0.3282 -0.6263 -0.7071	-0.6772 0.7358 0.0000	0.6860 -0.4344 0.5837	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