### Abstract

This paper presents a theoretical study of the size evolution of equilibrium structures and approximate HF vibrational red shifts for Ar _{n}HF van der Waals clusters, with n = 1-14. Pairwise additive Ar _{n}HF intermolecular potential energy surfaces were constructed from spectroscopically accurate Ar-Ar and anisotropic Ar-HF potentials. The latter depend on vibrational excitation of the HF monomer. The global and energetically close-lying local minima of Ar_{n}HF, n = 1-14, for HF v=0 and v=1, were determined using simulated annealing followed by a direct minimization scheme. For Ar_{n}HF clusters with n≤8, the lowest-energy structure always has HF bound to the surface of the Ar_{n} subunit. In contrast, for n≥9, the global minimum of Ar_{n}HF corresponds to HF inside a cage. Ar_{12}HF has the minimum-energy configuration of an HF-centered icosahedron, which appears to be unusually stable. Size dependence of the HF vibrational red shift in Ar_{n}HF (n=1-14) clusters was investigated by means of a simple approximation, where the red shift was represented by the energy difference between the global minima of a cluster obtained for HF v=0 and v=1, respectively. The approximation reproduced rather accurately the experimentally determined variation of the Ar_{n}HF red shift with the number of Ar atoms, for n=1-4, although it overestimated their magnitude. For larger Ar_{n}HF clusters, 4<n≤14, a nonmonotonic, step-like dependence of the red shift on the cluster size is predicted, which can be interpreted in terms of changes in the minimum-energy cluster geometries. The predicted red shift for the icosahedral Ar_{12}HF, where the first solvation shell is full, is 44.70 cm^{-1}, which is only 5.4% higher than the experimental HF vibrational red shift in an Ar matrix, of 42.4 cm ^{-1}.

Original language | English (US) |
---|---|

Pages (from-to) | 7166-7181 |

Number of pages | 16 |

Journal | The Journal of chemical physics |

Volume | 100 |

Issue number | 10 |

State | Published - 1994 |

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### ASJC Scopus subject areas

- Atomic and Molecular Physics, and Optics

### Cite this

*The Journal of chemical physics*,

*100*(10), 7166-7181.

**Equilibrium structures and approximate HF vibrational red shifts for ArnHF (n=1-14) van der Waals clusters.** / Liu, Suyan; Bacic, Zlatko; Moskowitz, Jules W.; Schmidt, Kevin E.

Research output: Contribution to journal › Article

*The Journal of chemical physics*, vol. 100, no. 10, pp. 7166-7181.

}

TY - JOUR

T1 - Equilibrium structures and approximate HF vibrational red shifts for ArnHF (n=1-14) van der Waals clusters

AU - Liu, Suyan

AU - Bacic, Zlatko

AU - Moskowitz, Jules W.

AU - Schmidt, Kevin E.

PY - 1994

Y1 - 1994

N2 - This paper presents a theoretical study of the size evolution of equilibrium structures and approximate HF vibrational red shifts for Ar nHF van der Waals clusters, with n = 1-14. Pairwise additive Ar nHF intermolecular potential energy surfaces were constructed from spectroscopically accurate Ar-Ar and anisotropic Ar-HF potentials. The latter depend on vibrational excitation of the HF monomer. The global and energetically close-lying local minima of ArnHF, n = 1-14, for HF v=0 and v=1, were determined using simulated annealing followed by a direct minimization scheme. For ArnHF clusters with n≤8, the lowest-energy structure always has HF bound to the surface of the Arn subunit. In contrast, for n≥9, the global minimum of ArnHF corresponds to HF inside a cage. Ar12HF has the minimum-energy configuration of an HF-centered icosahedron, which appears to be unusually stable. Size dependence of the HF vibrational red shift in ArnHF (n=1-14) clusters was investigated by means of a simple approximation, where the red shift was represented by the energy difference between the global minima of a cluster obtained for HF v=0 and v=1, respectively. The approximation reproduced rather accurately the experimentally determined variation of the ArnHF red shift with the number of Ar atoms, for n=1-4, although it overestimated their magnitude. For larger ArnHF clusters, 412HF, where the first solvation shell is full, is 44.70 cm-1, which is only 5.4% higher than the experimental HF vibrational red shift in an Ar matrix, of 42.4 cm -1.

AB - This paper presents a theoretical study of the size evolution of equilibrium structures and approximate HF vibrational red shifts for Ar nHF van der Waals clusters, with n = 1-14. Pairwise additive Ar nHF intermolecular potential energy surfaces were constructed from spectroscopically accurate Ar-Ar and anisotropic Ar-HF potentials. The latter depend on vibrational excitation of the HF monomer. The global and energetically close-lying local minima of ArnHF, n = 1-14, for HF v=0 and v=1, were determined using simulated annealing followed by a direct minimization scheme. For ArnHF clusters with n≤8, the lowest-energy structure always has HF bound to the surface of the Arn subunit. In contrast, for n≥9, the global minimum of ArnHF corresponds to HF inside a cage. Ar12HF has the minimum-energy configuration of an HF-centered icosahedron, which appears to be unusually stable. Size dependence of the HF vibrational red shift in ArnHF (n=1-14) clusters was investigated by means of a simple approximation, where the red shift was represented by the energy difference between the global minima of a cluster obtained for HF v=0 and v=1, respectively. The approximation reproduced rather accurately the experimentally determined variation of the ArnHF red shift with the number of Ar atoms, for n=1-4, although it overestimated their magnitude. For larger ArnHF clusters, 412HF, where the first solvation shell is full, is 44.70 cm-1, which is only 5.4% higher than the experimental HF vibrational red shift in an Ar matrix, of 42.4 cm -1.

UR - http://www.scopus.com/inward/record.url?scp=36449006567&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=36449006567&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:36449006567

VL - 100

SP - 7166

EP - 7181

JO - Journal of Chemical Physics

JF - Journal of Chemical Physics

SN - 0021-9606

IS - 10

ER -