Originated
from the cyclic delocalization of electrons resulting in extra stability
and instability, aromaticity and antiaromaticity are important chemical
concepts whose appreciation and quantification are still much of recent
interest in the literature. Employing information-theoretic quantities
can provide us with more insights and better understanding about them,
as we have previously demonstrated. In this work, we examine the triplet-state
aromaticity and antiaromaticity, which are governed by Baird’s
4
n
rule, instead of Hückel’s 4
n
+ 2 rule for the singlet state. To this end, we have made
use of 4 different aromaticity indexes and 8 information-theoretic
quantities, examined a total of 22 substituted fulvene derivatives,
and compared the results both in singlet and triplet states. It is
found that cross-correlations of these two categories of molecular
property descriptors enable us to better understand the nature and
propensity of aromaticity and antiaromaticity for the triplet state.
Our results have not only demonstrated the existence and validity
of Baird’s rule but also shown that Hückel’s
rule and Baird’s rule indeed share the same theoretical foundation
because with these cross-correlation patterns we are able to distinguish
them from each other simultaneously in both singlet and triplet states.
Our results should provide new insights into the nature of aromaticity
and antiaromaticity in the triplet state and pave the road toward
new ways to quantify this pair of important chemical concepts.