TY - JOUR
T1 - Quantifying energetics of topological frustration in carbon nanostructures
AU - Bullard, Zachary
AU - Costa Girão, Eduardo
AU - Daniels, Colin
AU - Sumpter, Bobby G.
AU - Meunier, Vincent
PY - 2014/6/17
Y1 - 2014/6/17
N2 - We develop a graph theoretical formalism to account for the fact that sp2 carbon can become spin ordered or generate free radicals for purely topological reasons. While this phenomenon has been previously considered a binary operator, we here show a quantification in discrete units of frustrations. The graph theory method is combined with open density functional theory calculations to establish the existence of an energy of frustration that is shown to greatly improve the description of carbon nanostructure energetics using classical force fields. The methodology is illustrated for a number of systems and, owing to the small computational overhead associated with its evaluation, is expected to be easily integrable into any modeling approach based on a structure's adjacency matrix.
AB - We develop a graph theoretical formalism to account for the fact that sp2 carbon can become spin ordered or generate free radicals for purely topological reasons. While this phenomenon has been previously considered a binary operator, we here show a quantification in discrete units of frustrations. The graph theory method is combined with open density functional theory calculations to establish the existence of an energy of frustration that is shown to greatly improve the description of carbon nanostructure energetics using classical force fields. The methodology is illustrated for a number of systems and, owing to the small computational overhead associated with its evaluation, is expected to be easily integrable into any modeling approach based on a structure's adjacency matrix.
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U2 - 10.1103/PhysRevB.89.245425
DO - 10.1103/PhysRevB.89.245425
M3 - Article
AN - SCOPUS:84902674896
SN - 1098-0121
VL - 89
JO - Physical Review B - Condensed Matter and Materials Physics
JF - Physical Review B - Condensed Matter and Materials Physics
IS - 24
M1 - 245425
ER -