High-level theoretical study of the NO dimer and tetramer: has the tetramer been observed?

对NO二聚体和四聚体的高水平理论研究:四聚体是否已被观察到?

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Abstract

The ground-state properties of (NO)(2) and (NO)(4) have been investigated using multireference second-order perturbation theory (MRMP2) and include a two-tier extrapolation to the complete basis set (CBS) limit. For the NO dimer the MRMP2(18,14)/CBS predicted structure, binding energy (with respect to 2NO; D(e) = 3.46 kcal/mol), and dipole moment (u(e) = 0.169 D) are in excellent agreement with experimental measurements (D(e) = 2.8-3.8 kcal/mol; u(e) = 0.171 D). Additionally, three of four intermolecular anharmonic MRMP2(18,14)/CBS-estimated frequencies (143 cm(-1), 238 cm(-1), 421 cm(-1)) are in excellent agreement with recent gas-phase experimental measurements (135 cm(-1), 239 cm(-1), 429/428 cm(-1)); however, the predicted value of 151 cm(-1) for the out-of-plane torsion (A(2)) is elevated compared to recent experimental estimates of 97-117 cm(-1). Our finding that this infrared-forbidden vibration is also predicted to have an extremely low Raman activity (0.04 Å/amu at the MP2/QZ level of theory) conflicts with Raman measurements of a strong intensity for a low frequency band; however, these studies were performed for low temperature solid and liquid phases. Probing the possibility of the presence of higher order clusters we investigated the stability of (NO)(4) and discovered three isomers, each resembling pairs of dimers, that were stable to dissociation to 2(NO)(2), with the lowest-energy isomer (C(i) structure) having a predicted binding energy almost identical to that of the dimer. Computed vibrational frequencies of the C(i) isomer indicate that the 12 highest-frequency modes resemble barely shifted NO dimer-combined bands while the 13th highest-frequency mode at ~100 cm(-1) is exclusive to (NO)(4). Moreover, this tetramer-unique vibration is infrared inactive but has a very high predicted Raman activity of some 24 Å/amu. Guided by the theoretical results, we reexamined and reassigned experimental Raman and infrared data going back to 1951 and determined that our best predictions of vibrational frequencies of (NO)(2) and (NO)(4) are consistent with experimental observations. We thus postulate the existence and observation of (NO)(4).

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