Quantum dynamics of the vibrations of helium bound to the nanosurface of a large planar organic molecule: Phthalocyanine • he van der waals complex

Brittney R. Gibbons, Minzhong Xu, Zlatko Bacic

Research output: Contribution to journalArticle

Abstract

We report rigorous quantum three-dimensional calculations of highly excited intermolecular vibrational states of the van der Waals (vdW) complex phthalocyanine• He (Pc• He). The Pc molecule was treated as rigid and the intermolecular potential energy surface (IPES) was represented as a sum of atom-atom Lennard-Jones pair potentials. The IPES has four equivalent global minima on the diagonals of the square-shaped Pc, inside its five-membered rings, and four slightly shallower local minima between them, creating a distinctive corrugation pattern of the molecular nanosurface. The vdW vibrational states analyzed in this work extend to about two-thirds of the well depth of the IPES. For the assignment of the in-plane (xy) vdW vibrational excitations it was necessary to resort to two sets of quantum numbers, the Cartesian quantum numbers [vx, vy] and the quantum numbers (v, l) of the 2D isotropic oscillator, depending on the nodal structure and the symmetry of the wave functions. The delocalization of the He atom parallel to the molecular surface is large already in the ground vdW state. It increases rapidly with the number of quanta in the in-plane vdW vibrations, with the maximum root-mean-square amplitudes Ax and Ay of about 7 au at the excitation energies around 40 cm-1. The wave functions of the highly excited states tend to be delocalized over the entire nanosurface and often have a square shape, reflecting that of the substrate.

Original languageEnglish (US)
Pages (from-to)3789-3798
Number of pages10
JournalJournal of Physical Chemistry A
Volume113
Issue number16
DOIs
StatePublished - Apr 23 2009

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Helium
Potential energy surfaces
helium
Wave functions
quantum numbers
Atoms
vibration
Molecules
potential energy
vibrational states
Lennard-Jones potential
molecules
Excitation energy
wave functions
excitation
atoms
Excited states
oscillators
Substrates
phthalocyanine

ASJC Scopus subject areas

  • Physical and Theoretical Chemistry

Cite this

Quantum dynamics of the vibrations of helium bound to the nanosurface of a large planar organic molecule : Phthalocyanine • he van der waals complex. / Gibbons, Brittney R.; Xu, Minzhong; Bacic, Zlatko.

In: Journal of Physical Chemistry A, Vol. 113, No. 16, 23.04.2009, p. 3789-3798.

Research output: Contribution to journalArticle

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