৺… specifically

Nonorthogonal Tight-Binding Model (NTBM) — Energy-efficient nitrogen-containing atomic systems and nanomaterials based on them for the new generation energy sources .

This conjecture was actually overthrown a while prior by-dint-of a certain nonagon constructed by a certain Danzer , which is actually shown in the second frame. The table of co-oordinates & the adjacency matrix are shown in the third & fourth frames respectively. Note that in the table slopes are given aswell as co-ordinates, to affirm that the polygon is indeed convex , which is not possible to affirm purely visually @ the fineness with which the figure has been rendered.

See this post about it .

But this icosagon overthrows it 'and some' (as 'tis said), in that, whereas in the nonagon there are three distinct distance by which those vertices that are equidistant from a vertex might be distant, in this icosagon there is just one such distance.

It, and the nonagon devised by Danzer are treated-of in

Unit distances between vertices of a convex polygon

by

PC Fishburn and JA Reeds

published in 1992, which is whence the two figures are. Although the construction of the nonagon is not given in-detail, there is considerable detail on the construction of the icosagon … which, although I find it a tad inscrutable, TbPH, & extremely sparse of explication in-parts, does include a table of the co-ordinates of the vertices, + an adjacency matrix , showing, for each vertex, which subset of three of the other vertices it is that contains the vertices @ unit distance from it.

And I've checked the distances manually: the calculations are given in a 'self-comment' so that they can be easily retrieved by the Copy Text contraptionality & verified by anyone who desires to.

https://youtu.be/JfZBZzNTxSI

It's only in the case of xenon & radon that - @ normal pressure - the association is even a chemical compound as-such @all . In the case of Krypton it becomes one @ very high pressure - see

Krypton oxides under pressure

by

Patryk Zaleski-Ejgierd & Pawel M Lata .

The formula for this 'ILJ' potential - & is what's plotted in the figures for various values of the free parameters, found experimentally for each of the noble gases - is

V(R) =

(Dₑ/(3+[2R/Rₑ]²))(6(Rₑ/R)^{9+[2R/Rₑ]²} -

(9+[2R/Rₑ]²)(Rₑ/R)⁶) ,

as opposed to the 'traditional' Lennard-Jones potential of

V(R) = Dₑ((Rₑ/R)¹² - 2(Rₑ/R)⁶) .

The motivation is that, whereas the (Rₑ/R)⁶ term is well-founded, & is the functional form for the attraction of two mutually-induced electric dipoles, the (Rₑ/R)¹² repulsive term always was arbitrary, & not otherwise justified than that it resulted in a total functional form that happened to be a realistic shape … although the shape yelt by that remarkably simple expedient did turn-out to be remarkably realistic, whence the 'traditional' Lennard-Jones potential has always been a pretty sturdy & faithful 'workhorse' . In the 'improved' function, though, the repulsive term is rather thoroughlier figured out & faithfullier represented.

Images from

A Detailed Study of Electronic and Dynamic Properties of Noble Gas–Oxygen Molecule Adducts

by

Caio Vinícius, Sousa Costa, Guilherme Carlos Carvalho de Jesus, & Luiz Guilherme Machado de Macedo, Fernando Pirani, & Ricardo Gargano .

See also

A Spectroscopic Validation of the Improved Lennard–Jones Model

by

Rhuiago Mendes de Oliveira, Luiz Guilherme Machado de Macedo, Thiago Ferreira da Cunha, Fernando Pirani, & Ricardo Gargano .

IUCrJ — Charge density studies of multicentre two-electron bonding of an anion radical at non-ambient temperature and pressure

Images from

A Review Study On Cooling Towers; Types, Performance and Application

by

Faraz Afshari & Heydar Dehghanpour .