The Singlet−Triplet Gap in Trimethylenmethane and the Ring-Opening of Methylenecyclopropane: A Multireference Brillouin−Wigner Coupled Cluster Study

Photophysical properties of fluorescent nucleobase P-analogues expected to monitor DNA replication

In this work, we computationally design a series of fluorescent purine analogues based on the 2-amino-8-(1'-β-D-2'-deoxyribofuranosyl)-imidazo[1,2-a]-1,3,5-triazin-4(8H)-one (P) to monitor the DNA replication process with merely a minimal perturbation to the natural structure of nucleic acid. The P-modified fluorescent probes present red-shifted absorption spectra and enhanced photoluminescence due to the additional π-conjugation resulting from the fluorophore modification and the ring-expansion. Efficient fluorescence quenching of P-analogues occurs upon pairing with the complementary 6-amino-5-nitro-3-(1'-β-D-2'-deoxyribofuranosyl)-2(1H)-pyridone (Z) due to the nonradiative relaxation from the low-lying dark excited state to the ground state of Z moiety. Especially, the P3 and the P7, which have high fluorescence intensity in both gas and liquid phases, are proposed as the sensors for studying conformational switching in the presence and absence of a complementary sequence. Also examined are the influences of hydration and the linking to deoxyribose on absorption and emission processes. Besides, the potential phosphorescence emission of these modified base pairs is taken into account by constructing the relaxed potential energy curves of S₀, T₁ and S₁ states.

Single-Root Multireference Brillouin-Wigner Perturbative Approach to Excitation Energies

The state-specific Brillouin-Wigner multireference perturbation theory [which employs Jeziorski-Monkhorst parametrization of the wave function] using improved virtual orbitals, denoted as IVO-BWMRPT, is applied to calculate excitation energies (EEs) for methylene, ethylene, trimethylenemethane, and benzyne systems exhibiting various degrees of diradical character. In IVO-BWMRPT, all of the parameters appearing in the wave function ansatz are optimized for a specific electronic state. For these systems, the IVO-BWMRPT method provides EEs that are in close agreement with the benchmark results and experiments, where available, indicating that the method does not introduce imbalance in the target-specific treatment of closed- and open-shell states involved. The good performance of the present methodology is primarily related to structural compactness of the formalism. Overall, present findings are encouraging for both further development of the approach and chemical applications on the energy differences of strongly correlated systems.

Energy Gaps of Polyradicals from an Effective and Transferable Hamiltonian with through-Bond Interactions

Current model Hamiltonians and ab initio many-body quantum treatments of π-conjugated polyradicals formed from hydrocarbons produce divergent results because of numerical complexity and large size of the basis-function set used. We propose an alternative, three-term Hamiltonian, to describe these various polyradicals that simplifies considerably the computational cost while providing a physical interpretation for all three terms and a high degree of model universality. The essential feature of this Hamiltonian is a term, not present in previous models, describing the three-sited through-bond interaction that governs the noninteracting spin-up and spin-down sectors. A computation of the lowest energy gaps and spin configurations for the smaller polyradicals demonstrates the efficacy of the model and its potential in applications in revealing electrical conductivity and ferromagnetism of the more complicated substituted polyradicals.

Theoretical investigations toward the tandem reactions of N-aziridinyl imine compounds forming triquinanes via trimethylenemethane diyls: mechanisms and stereoselectivity

In this paper, we have investigated the tandem reaction mechanism for the N-aziridinyl imine compounds forming triquinanes via trimethylenemethane (TMM) diyls in detail. Based on the calculated results, the reaction is initiated by the cleavage of the N-aziridinyl in the substrate, followed by an intramolecular 1,3-dipolar (3 + 2) cycloaddition preferentially leading to a linearly-fused tetrahydrocyclopentapyrazole intermediate. Next, the intermediate loses N2 to form the singlet TMM diyl M3S, which can then undergo another concerted (3 + 2) cycloaddition to generate the linearly-fused cis–trans or cis–syn triquinane products. In addition, M3S can also undergo intersystem crossing to the triplet TMM diyl M3T, and the six possible reaction pathways associated with M3T have also been identified. The calculated results reveal that the cis–trans fused pathway associated with M3S is energetically preferred with the highest free energy barrier of 25.0 kcal mol(−1). In comparison, the cyclization of M3T requires much higher activation free energies (ΔG(≠) = 34.4–57.8 kcal mol(−1)). At the experimental temperature 110 °C, only the linearly-fused cis–trans and cis–syn pathways associated with M3T (ΔG(≠) = 34.4 and 35.5 kcal mol(−1) respectively) are possible. The calculated results also indicate that for both M3S and M3T, the linearly-fused cis–trans triquinane should be the main product, which is consistent with the experimental observation. At last, conformational and NBO analyses on key transition states identified the cis–trans stereocontrol factors. Further calculations indicate that the methyl substituent on the allene group of the reactant substrate improves the stereoselectivity of the reaction but does not affect the rate-determining step.

Analytic gradient for the multireference Brillouin-Wigner coupled cluster method and for the state-universal multireference coupled cluster method

We present the analytic gradient theory and its pilot implementation for the multireference Brillouin-Wigner coupled cluster (BWCC) method and for the state-universal multireference coupled cluster method. The analytic gradient has been derived for three cases: (i) BWCC method without a size-extensivity correction, (ii) BWCC method with the iterative size-extensivity correction, and (iii) for the rigorously size-extensive state-universal method. The pilot implementation is based on full-configuration interaction expansions and is presently limited to single and double excitation levels; however, the resulting equations are general. For BWCC methods, they also do not contain terms explicitly mixing amplitudes of different reference configurations and can thus be implemented in an efficient way. The analytic gradients have been verified with respect to numerically computed ones on the example of CH2 molecule, and geometry optimizations of CH2 and SiH2 have been carried out.