The linear and nonlinear optical (NLO) properties of
fullerene
and fullerene-like structures, including crystallogen and pnictogen
elements, are computed quantum mechanically. The tensors of optical
polarizability, α, and second hyperpolarizability, γ,
for a series of buckyball fullerene analogues, namely, Si60, Ge60, Sn60, Pb60, P60, As60, Sb60, and Bi60, are reported
and analyzed. The eight considered nanocages are here classified into
four categories: nanocages stabilized in the X60 form,
including C60, As60, Sb60, and Bi60; nanocages that are not stabilized in the X60 form but are found to be stable in a distorted buckled b-X60 form, with X = Si and Ge; nanocages stabilized only in an exohedral decorated X60–Y60 form,
X = Sn, Y = H or F; and finally nanocages that are not stable in either
distorted or decorated form; however, their corresponding tabular
nanotubes are found to be stable; such group includes P and Pb elements.
A suggested nomenclature for the above-mentioned fullerenes is given
for the first time, where many geometrical, energetic, and optical
parameters are discussed extensively. These systems are energetically
stable. The cohesive energies of Bi60 and Sn60–F60 range from −1.2 to −4.8 eV/atom
and can be compared to −2.4 and −3.3 eV/atom from the
corresponding 2D bismuthene and stanene monolayers, respectively.
While bismuthellene, Bi60, shows vigorous optical responses
compared to standard fullerene, the (9, 0) phosphorus nanotube gives
not only enhanced polarizability and second hyperpolarizability but
also an inducing first hyperpolarizability, β, which was null
by symmetry in the case of spherical fullerenes. The proposed models
are expected to be promising materials for optoelectronic and NLO
applications.