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Rotational and Rovibrational Spectra in He nanodroplets: Recent Princeton Contributions

We have recently constructed an optothermal spectrometer, which is described elsewhere [16], to study the rotational and rovibrational spectra of molecules seeded in helium nanodroplets. While our goal is to use this technique to synthesize and characterize new free radicals and other unstable species, we began by studying the first acetylenic C-H overtone spectra of a series of terminal acetylene compounds. This affords us the possibility of addressing the problems of understanding the changes in moments of inertia induced by solvation as well as reliably predicting spectral shifts and lineshapes in this unusual and highly quantum environment. We hope to be able to use the He-solute and He-He pair potentials to predict `condensed phase' behavior of molecules dissolved in liquid helium. Furthermore we had previously used eigenstate-resolved molecular beam spectroscopy to determine the rates of IVR in these and similar molecules [21] and we wanted to determine whether solvation in liquid He would substantially change this rate.

The first molecule we studied was HCN, since at this energy it is not expected to have IVR and is likely to have slow vibrational relaxation even in He (due to its low density of vibrational states). Thus, this molecule provides a `baseline' for the spectral width induced by interaction with the He. Due to the low temperature and large rotational constants of HCN, only an R(0) line could be detected. The line proved to be asymmetric with a width of tex2html_wrap_inline4152 MHz, suggesting the presence of two underlying lines. Studies of power dependence showed that the line could be saturated and allowed an estimate of the homogeneous width of tex2html_wrap_inline4154 MHz to be made, showing that most of the linewidth is due to inhomogeneous effects. Nauta and Miller have studied the fundamental CH stretching spectrum of this molecule and found a much narrower but also asymmetric line shape [22]. This implies that the inclusion of the vibrational dependence of the interaction between HCN and He will be required to explain these results.

FIG. 1. tex2html_wrap_inline4156 band (C-H stretch first overtone) of CH tex2html_wrap_inline3284 CCH embedded in a tex2html_wrap_inline4118 He droplet. Due to the large distortion constant, the R(3), R(4), and R(5) lines form a band head.

  figure1730

Other molecules studied in our laboratory include HCCD, HCCCN, CH tex2html_wrap_inline3284 CCH, CF tex2html_wrap_inline3284 CCH, (CH tex2html_wrap_inline3284 ) tex2html_wrap_inline3284 CCCH, and (CH tex2html_wrap_inline3284 ) tex2html_wrap_inline3284 SiCCH. Fig. 1 shows the spectrum of CH tex2html_wrap_inline3284 CCH with its resolved P, Q, and R branches. Table I gives the shifts in the vibrational origins and the observed full widths of the spectroscopic lines.

TABLE I. tex2html_wrap_inline4156 band shifts and (range of) rotational line widths for the molecules studied in this work.

  table1737

For some of the molecules, the line widths are J-dependent and we give a range of widths. When the gas phase transition has an IVR-limited linewidth, Table I also shows these FWHM values. While it is not possible from such data to separate unambiguously the effects of the He on the IVR rate from other sources of solvent induced dephasing, if we take the HCN linewidth as representative of other effects, we can conclude that the IVR rate is not qualitatively changed upon solvation in liquid He. One exception may be propyne, which in the gas phase is known to have a density of vibrational states at tex2html_wrap_inline4194 almost sufficient to show isolated-molecule IVR on the tex2html_wrap_inline4196  ps time scale [23]. The presence of the He solvent seems to push this molecule over this threshold, probably because of relaxed energy and angular momentum constraints in the condensed environment.

Work in other laboratories on very light rotors (HF [24], H tex2html_wrap_inline3248 O [25], and NH tex2html_wrap_inline3284  [26]) indicates that the line widths for these molecules are much broader than those we have found in the series of CH-bearing molecules reported here. This may reflect the very rapid rotation of these molecules. We note that while Nauta and Miller have been able to detect the fundamental vibrational spectrum of HCCH, and we have detected the C-H overtone spectrum of HCCD, we have been unable to observe the overtone spectrum of HCCH. This is probably due to very rapid solvent-induced vibrational relaxation, with tex2html_wrap_inline4202 a reasonable candidate.

By irradiating the doped droplets with a tunable microwave field in a microwave waveguide, we have also observed pure rotational transitions of HCCCN [27]. To evaporate even a single He atom requires an individual cluster to absorb tex2html_wrap_inline4204 microwave photons. Based upon the relative strengths of the microwave and overtone signals, we estimate that many thousands of microwave photons are absorbed during the tex2html_wrap_inline4146 s time of interaction with the microwave field. Based upon microwave double-resonance experiments and experiments with a variable frequency of amplitude modulation, we have estimated a rotational relaxation time of tex2html_wrap_inline4208 ns. The microwave work also demonstrates that the lines are largely inhomogeneously broadened, but in a dynamic sense. We estimate that molecules change the quantum numbers responsible for the inhomogeneous broadening at a rate one order of magnitude faster than the rate of rotational relaxation. Microwave-IR double-resonance measurements, performed in collaboration with Roger Miller [28], have confirmed the dynamic nature of the broadening and have demonstrated an interesting size dependence of the state-to-state rotational relaxation.

The nature of the inhomogeneities that cause the broadening in the spectra is not clear at present. They are certainly not dominated by the droplet size distribution in our source. We currently believe that the most likely explanation is a coupling between the center-of-mass motion of the solute and its rotation. A thorough analysis of the motion of the impurity, assuming that the superfluid droplets provide no friction, has been recently given [29]. The long-range interactions between the solute and the `missing He' outside the cluster produce a potential that confines the solute to near the center of the droplet. Anisotropic long-range forces and a hydrodynamic coupling of center-of-mass motion with orientation lead to an inhomogeneous line broadening which is too small (in the case of HCN) to reproduce the experimental results. It is hoped that, by including the vibrational dependence of the He-HCN interaction and by providing a more realistic calculation to estimate the strength of the hydrodynamic coupling, the lineshape of HCN could be explained.


next up previous
Next: The Problem of the Up: From intermolecular forces to Previous: Introduction

m.m.law
Tue Aug 17 18:54:52 BST 1999