Elucidation of Structures, Electronic Properties, and Chemical Bonding of Monophosphorus-Substituted Boron Clusters in Neutral, Negative, and Positively Charged PB_n/<inline-formula><math display="inline"><semantics><msubsup><mrow><mi mathvariant="normal">P</mi><mi mathvariant="normal">B</mi></mrow><mi mathvariant="normal">n</mi><mo>–</mo></msubsup></semantics></math></inline-formula>/<inline-formula><math display="inline"><semantics><msubsup><mrow><mi mathvariant="normal">P</mi><mi mathvariant="normal">B</mi></mrow><mi mathvariant="normal">n</mi><mo>+</mo></msubsup></semantics></math></inline-formula> (n = 4–8)

Abstract

This paper reports the computational study of phosphorus-doped boron clusters PBn/PBn–/PBn+ (n = 4–8). First, a global search and optimization of these clusters were performed to determine the stable structures. We used density functional theory (DFT) methods and ab initio calculations to study the stability of the atomic clusters and to explore the arrangement of stable structures. We found that the lowest energy structures of the smaller phosphorus-doped boron clusters tend to form planar or quasi-planar structures. As additional boron atoms are added to the smallest structures, the boron atoms expand in a zigzag arrangement or in a net-like manner, and the phosphorus atom is arranged on the periphery. For larger structures with seven or eight boron atoms, an unusual umbrella-like structure appears. We calculated the binding energy as well as other energies to study cluster stability. We calculated the ionization energy, electron affinity, and the HOMO–LUMO gaps. In addition, we used the adaptive natural density partitioning program to perform bond analysis so that we have a comprehensive understanding of the bonding. In order to have a suitable connection with the experiment, we simulated the infrared and photoelectron spectra.

Keywords

• phosphorus-doped boron clusters
• hypercoordinate
• AdNDP
• density functional theory
• DFT
• ab initio calculations