Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Where to place the positive muon in the Periodic Table?   In a recent study it was suggested that the positively charged muon is
capable of forming its own "atoms in molecule"s (AIM) in the muonic
hydrogen-like molecules, composed of two electrons, a muon and one of the
hydrogen isotopes, thus deserved to be placed in the Periodic Table [Phys.
Chem. Chem. Phys. 16, 6602, 2014]. In present report, the capacity of the
positively charged muon in forming its own AIM is considered in a large set of
molecules replacing muons with all protons in the hydrides of the second and
third rows of the Periodic Table. Accordingly, in a comparative study the
wavefunctions of both sets of hydrides and their muonic congeners are first
derived beyond the Born-Oppenheimer (BO) paradigm, assuming protons and muons
as quantum waves instead of clamped particles. Then, the non-BO wavefunctions
are used to derive the AIM structures of both hydrides and muonic congeners
within context of the multi-component quantum theory of atoms in molecules. The
results of the analysis demonstrate that muons are generally capable of forming
their own atomic basins and the properties of these basins are not
fundamentally different from those AIM containing protons. Particularly, the
bonding modes in the muonic species seem to be qualitatively similar to their
congener hydrides and no new bonding models is required to describe the bonding
of muons to a diverse set of neighboring atoms. All in all, the positively
charged muon is similar to proton from structural and bonding viewpoint and
deserved to be placed in the same box of hydrogen in the Periodic Table. This
conclusion is in line with a large body of studies on the chemical kinetics of
the muonic molecules portraying the positively charged muon as a lighter
isotope of hydrogen.

11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph
37
The categories of this paper are: supr-con
24
The categories of this paper are: dg-ga
15
The categories of this paper are: nucl-ex
19
The categories of this paper are: eess
36
The categories of this paper are: cmp-lg
13
The categories of this paper are: quant-ph
29
The categories of this paper are: funct-an
23
The categories of this paper are: solv-int
2
The categories of this paper are: math
12
The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph
1
The categories of this paper are: cs