The frontier molecular
orbital (MO) topology of linear carbon molecules,
such as polyynes, can be visually identified as helices. However,
there is no clear way to quantify the helical curvature of these π-MOs,
and it is thus challenging to quantify correlations between the helical
curvature and molecular properties. In this paper, we develop a method
that enables us to compute the helical curvature of MOs based on their
nodal planes. Using this method, we define a robust way of quantifying
the helical nature of MOs (helicality) by their deviation from a perfect
helix. We explore several limiting cases, including polyynes, metallacumulenes,
cyclic allenes, and spiroconjugated systems, where the change in helical
curvature is subtle yet clearly highlighted with this method. For
example, we show that strain only has a minor effect on the helicality
of the frontier orbitals of cycloallenes and that the MOs of spiroconjugated
systems are close to perfect helices around the spiro-carbon. Our
work provides a well-defined method for assessing orbital helicality
beyond visual inspection of MO isosurfaces, thus paving the way for
future studies of how the helicality of π-MOs affects molecular
properties.