Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Graphene edge from A to Z - and the origins of nanotube chirality   The energy of arbitrary graphene edge is derived in analytical form. It
contains a "chemical phase shift", determined by the chemical conditions at the
edge. Direct atomistic computations support the universal nature of the
relationship. Definitive for graphene formation, shapes of the voids or
ribbons, this has further important implications for nanotube chirality
selection and control by chemical means, at the nucleation stage.

32
The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci
21
The categories of this paper are: adap-org
7
The categories of this paper are: hep-th
6
The categories of this paper are: astro-ph
17
The categories of this paper are: q-fin
24
The categories of this paper are: dg-ga
11
The categories of this paper are: hep-lat
16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom
1
The categories of this paper are: cs
18
The categories of this paper are: econ
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics