Structures of octahydriodo diborane (B 2 H 8 ) 1 and its protonated 3, diprotonated 5, triprotonated 6, and tetraprotonated 7 ions were found to be calculationally viable minima at the MP2/cc-pVTZ level of theory. Each structure contains two-electron three-center (2e-3c) bonds. The protonation of 1 to form 3 was found to be strongly exothermic by 176.0 kcal∕mol. Subsequent protonation of 3 to form 5 was also found to be exothermic by 28.4 kcal∕mol. Further protonation of 5 to form 6 was, however, computed to be endothermic by 122.0 kcal∕mol whereas protonation of 6 to form 7 was again highly endothermic by 238.8 kcal∕mol. Deprotonation barriers of the ions were also computed.H igher coordinate (1) main group compounds are of substantial theoretical (2-4) and experimental (5) interest. Schmidbaur et al. have prepared a variety of monopositively charged higher coordinate gold complexes of main group elements (5). They have also prepared dipositively charged carbon f½ðC 6 H 5 Þ 3 PAu 6 Cg 2þ (6), nitrogen f½ðC 6 H 5 Þ 3 PAu 5 Ng 2þ (7), phosphorus f½ðC 6 H 5 Þ 3 PAu 5 Pg 2þ (8), sulfur (9) f½ðC 6 H 5 Þ 3 PAu 4 Sg 2þ (9) and oxygen f½ðo-CH 3 -C 6 H 4 Þ 3 PAu 4 Og 2þ (10) and determined their X-ray structures. The structures represent isolobal analogs of CH 6 2þ , NH 5 2þ , PH 5 2þ , SH 4 2þ and OH 4 2þ , respectively. They have also prepared a positively charged fivecoordinate boron complex of gold (11) f½ðC 6 H 5 Þ 3 PAu 4 B½PðC 6 H 11 Þ 3 g þ and determined its X-ray structure, but no dipositively charged gold complexes of boron have been reported to date.We have previously reported (12) the calculated structures of parent pentacoordiate BH 5 and derived the hexa-, hepta-, and octacoordinate boronium ions BH 6 þ , BH 7 2þ , and BH 8 3þ , respectively, with 1-4 two-electron three-center (2e-3c) bonds to be viable energy minima (Fig. 1). The structures were found to be isostructural, with isoelectronic carbon analogs CH 5 þ (13, 14), CH 6 2þ (15, 16), and CH 7 3þ (17) respectively.In continuation of our study of hypercoordinate compounds, we have extended our investigations to the next higher homologue of BH 5 , i.e., B 2 H 8 (which can be considered a complex of B 2 H 6 and H 2 or BH 5 and BH 3 ) and its protonated B 2 H 9 þ , B 2 H 10 2þ , B 2 H 11 3þ , and B 2 H 12 4þ ions at the ab initio MP2/ccpVTZ level.
Computational MethodsGeometry optimizations, frequency calculations, and natural bond orbital (NBO) analyses were carried out with the Gaussian 09 program (18). The geometry optimizations were performed at the ab initio MP2/cc-pVTZ level. Vibrational frequencies at the MP2/cc-pVTZ//MP2/cc-pVTZ level were used to characterize stationary points as either minima (number of imaginary frequency (NIMAG ¼ 0) or transition states (NIMAG ¼ 1) and to evaluate zero point vibrational energies (ZPE), which were scaled by a factor of 0.95 (19). For improved energy, calculations were carried out using the accurate W1BD method (20, 21) as implemented in the Gaussian 09 program (18). Atomic charges at the MP2/cc-pVTZ//MP2/cc-p...