0000000000255778
AUTHOR
Josep Planelles
Competition between decarboxylation and isomerization in the C3H5O 2+ energy surface. Justification of the experimental results by molecular orbital calculations on the solvated ions
In constrast with recent molecular orbital calculations on the decarboxylation of O-protonated 2-oxetanone, this experimental work indicates that no decarboxylation of this cation occurs in sulphuric acid solution up to 150°C, but instead a clean isomerization to protonated acrylic acid takes place. Parallel theoretical work shows that the gas-phase model is too crude to account successfully for the experimental facts obtained in acidic media. However, the latter are well reproduced when the effect of the solvent is taken into account. The present findings do not necessarily invalidate the reaction mechanism currently accepted to explain the rate enhancement and change of stereochemistry ac…
Symmetric-group approach to the study of the traces ofp-order reduced-density operators and of products of these operators
In this work we give the values of traces of p-order reduced-density operators. These traces are obtained by application of the spin functions and of the symmetric-group properties. The relations obtained here will allow an easy and fast evaluation of the high-order spin-adapted reduced Hamiltonian matrix elements and high-order Hamiltonian moments.
A simple proof for the formula to get symmetrized powers of group representations
A general formula to decompose the p-power of irreducible representations of an arbitrary space group into sum of sets of irreducible representations of such a group, having identical permutational symmetry, is presented. Its proof is based upon a straightforward application of the properties of the generalized projection (shift) operators. © 1993 John Wiley & Sons, Inc.
Traces of symmetry-adapted reduced density operators
Formulae are derived for traces of symmetry-adapted reduced density operators in a finite-dimensional, antisymmetric and spin-adapted space. The traces are expressed in terms of traces of products of the orbital occupation number operators.
The influence of branching isomerization on the product distribution obtained during cracking of n-heptane on acidic zeolites
Abstract The initial selectivities for the primary products occurring during the cracking of n-heptane on a rare-earth (RE)-HY ultrastable zeolite up to 470°C have been calculated. The activation energies for the cracking of n-heptane and its branched isomers in the fraction C4 + C3 have been obtained by molecular orbital calculations, and these values and the predicted product distribution have been compared with those obtained experimentally. It is concluded that the cracking of n-heptane on large-pore zeolites may take place by different parallel routes involving protolytic and β-cracking of n-heptane and β-cracking of the readily formed branched carbenium ions. The relative importance o…
Atoms and molecules in cavities: A method for study of spatial confinement effects
A general method for solving the problems of spatially confined quantum mechanical systems is proposed. The method works within the framework of the model space approximation. In the case of atoms and molecules trapped into any-shape microscopic cavity (like molecular sieves or fullerenes), the method reduces to a simple modification of the commonly used basis-set quantum chemical calculations. The modification consists of a particular rotation and projection in the model space, leading to solutions better adapted to the boundary conditions of the spatial confinement than the functions that describe the free systems. To illustrate how this method works, it has been applied to the hydrogen a…
Morphology and Band Structure of Orthorhombic PbS Nanoplatelets: An Indirect Band Gap Material
PbS quantum dots and nanoplatelets (NPLs) are of enormous interest in the development of optoelectronic devices. However, some important aspects of their nature remain unclear. Recent studies have revealed that colloidal PbS NPLs may depart from the rock-salt crystal structure of bulk and form an orthorhombic (Pnma) modification instead. To gain insight into the implications of such a change over the optoelectronic properties, we have synthesized orthorhombic PbS NPLs and determined the lattice parameters by means of selected area electron diffraction measurements. We have then calculated the associated band structure using density functional theory with Perdew–Burke–Ernzerhof functional fo…