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We suggest to use for $XY_2$ molecules some results previously established in a series of articles for vibrational modes and electronic states with an $E$ symmetry type. We first summarize the formalism for the standard $u(2)supset su(2)supset so(2)$ chain which, for its most part, can be kept for the study of both stretching and bending modes of $XY_2$ molecules. Next the also standard chain $u(3)supset u(2) supset su(2) supset so(2)$ which is necessary, within the considered approach, is introduced for the stretching modes. All operators acting within the irreducible representation (textit{irrep}) $[N00]equiv [Ndot{0}]$ of $u(3)$ are built and their matrix elements computed within the standard basis. All stretch-bend interaction operators taking into account the polyad structure associated with a resonance $omega_1approx omega_3 approx 2 omega_2$ are obtained. As an illustration, an application to the $D_2S$ molecular system is considered, especially the symmetrization in $C_{2v}$. It is shown that our unitary formalism allows to reproduce in an extremely satisfactory way all the experimental data up to the dissociation limit.
A level-set method is developed for numerically capturing the equilibrium solute-solvent interface that is defined by the recently proposed variational implicit solvent model (Dzubiella, Swanson, and McCammon, Phys. Rev. Lett. {bf 104}, 527 (2006) an
We present a near-linear scaling formulation of the explicitly-correlated coupled-cluster singles and doubles with perturbative triples method (CCSD(T)$_{overline{text{F12}}}$) for high-spin states of open-shell species. The approach is based on the
The problem of accelerating drug discovery relies heavily on automatic tools to optimize precursor molecules to afford them with better biochemical properties. Our work in this paper substantially extends prior state-of-the-art on graph-to-graph tran
We have selected and spatially separated the two conformers of 3-aminophenol (C$_6$H$_7$NO) present in a molecular beam. Analogous to the separation of ions based on their mass-to-charge ratios in a quadrupole mass filter, the neutral conformers are
We present a data-driven approach for the prediction of the electric dipole moment of diatomic molecules, which is one of the most relevant molecular properties. In particular, we apply Gaussian process regression to a novel dataset to show that dipo