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Using the semiempirical tight binding method as implemented in the xTB program, we characterized Möbius boron-nitride and carbon-based nanobelts with different sizes and compared them with normal nanobelts. The calculated properties include the infrared spectra, the highest occupied molecular orbital (HOMO), the lowest unoccupied molecular orbital (LUMO), the energy gap, the chemical potential, and the molecular hardness.The agreement between the peaks positions from theoretical infrared spectra compared with experimental ones for all systems, validate the used methodology. Our findings show that for the boron-nitride based nanobelts, the calculated properties have opposite monotonic relationship with the size of the systems whereas, for the carbon-based, the properties show the same monotonic relationship for both types of nanobelts. Also, the torsion presented on the Möbius nanobelts, in the case of boron-nitride, induced an inhomogeneous surface distribution for the HOMO orbitals. In all cases, the properties vary with the increase in the size of the nanobelts indicating that it is possible to choose the desired values by changing the size and type of the systems.

How do nickel, cadmium, and lead nanoclusters interact with boron-nitride and Mobiustype boron-nitride nanobelts? To answer this question, we used the semiempirical tight binding framework, as implemented in the xTB software, to determine the lowest energy geometries, binding energy, complexes stability, and electronic properties. Our calculations show that heavy metal nanoclusters favorably bind to both boron-nitride nanobelts, although the interaction is stronger with the Mobius-type nanobelt. The calculations show that the nickel nanocluster has the lowest binding energy and the greatest charge transfer with the nanobelts, followed by the cadmium and lead nanoclusters. During the simulation time, the molecular dynamic simulation showed that all complexes were stable at 298 K. Following the nanobelt's symmetry, the frontier orbitals are distributed homogeneously throughout the structure. This distribution changed when the nanobelt was twisted to create the Mobiustype nanobelt. The topological study indicated that the number of bonds between the metal nanoclusters and the Mobius-type nanobelt doubled and that the bonds formed with the nickel nanocluster were stronger than those formed with the cadmium and lead metals.Combining all the results, we conclude that the nickel nanoclusters are chemisorbed, whereas the cadmium and lead nanoclusters are physisorbed in both nanobelts.