The small binary boron silicon clusters
B2Si3
q
with q going from
−2 to +2 and B3Si2
p
with p varying from −3 to +1 were
reinvestigated using quantum chemical methods. The thermodynamic stability
of these smallest ribbon structures is governed by both Hückel
and ribbon models for aromaticity. The more negative the cluster charge,
the more ribbon character is shown. In contrast, the more positive
the charge state, the more pronounced the Hückel character
becomes. The ribbon aromaticity character can also be classified into
ribbon aromatic, semiaromatic, antiaromatic, and triplet aromatic when the electron configuration of a ribbon structure is described
as [...π
2(n+1)
σ
2n
], [...π
2n+1
σ
2n
], [...π
2n
σ
2n
], and [...π
2n+1
σ
2n–1
], respectively.
Geometry optimizations of the B2Si3 lowest-energy
structure by some density functional theory (DFT) functionals result
in a nonplanar shape because it possesses an antiaromatic ribbon character.
However, its π aromaticity assigned by the Hückel rule
is stronger in such a way that several other DFT and coupled-cluster
theory CCSD(T) calculations show that B2Si3 is
indeed stable in a planar form (C
s
). A new global equilibrium structure for the anion B2Si3
2–, which is a ribbon semiaromatic
species, was identified. Some benchmark tests were also carried out
to evaluate the performance of popular methods for the treatment of
binary B–Si clusters. At odds with some previous studies, we
found that with reference to the high accuracy CCSD(T)/CBS method,
the hybrid TPSSh functional is reliable for a structure search, whereas
the hybrid B3LYP functional is more suitable for simulations of some
experimental spectroscopic results.