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Lineshape of rotational spectrum of CO in droplets
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Image of FIG. 1.
FIG. 1.

The discrete phonon spectrum obtained from the boundary condition for (see text) is shown as function of , for . The inset shows the same spectrum as function of the discrete momenta , i.e., the finite size analog of the bulk dispersion relation.

Image of FIG. 2.
FIG. 2.

The homogeneous spectrum for CO in a helium droplet is shown as a function of droplet size and energy . is the radius of the cluster for a given . For each , is a stick spectrum. was therefore broadened by a small imaginary part in the denominator of Eq. (4a), to allow representation of the weight. The intensity of the lines represents the magnitude of . The inset shows an expanded view of the peak positions up to larger .

Image of FIG. 3.
FIG. 3.

The inhomogeneous rotational spectrum of CO in droplets is shown for four different droplet size distributions: width parameters with average sizes and 6000 and width parameter with average sizes and 6000. The size distributions are shown in the inset. The full lines are Lorentzian fits to the spectra.

Image of FIG. 4.
FIG. 4.

The inhomogeneous rotational spectra of CO in droplets are shown, from top to bottom, for average droplet sizes (symbols), with width parameter The corresponding droplet size distributions are shown in the inset. The full lines are Lorentzian fits to the spectra.

Image of FIG. 5.
FIG. 5.

The rovibrational spectra measured for CO in droplets (Ref. 15) of average sizes ranging from to . Data from Ref. 15. The red lines show Lorentzian fits to the data. The dotted line marks the center of the spectrum.

Image of FIG. 6.
FIG. 6.

The line width (HWHM, top left panel) and peak position (bottom left panel) of the rotational spectrum of CO in droplets are shown as a function of average droplet size . We compare here results obtained with size distributions characterized by four different parameters , 0.6, 0.7, and 0.9 (full lines are guides to the eye). The upper right panel shows the line width obtained from the Lorentzian fits to the experimental rovibrational spectra shown in Fig. 5. The lower right panel shows the rotational contribution to the corresponding experimental spectral peak positions, i.e., with the vibrational band origin and its shift subtracted as described in the text (also, see footnote of Ref. 42).


Generic image for table
Table I.

Calculated line width (HWHM) of the inhomogeneous Lorentzian spectra for the four different cluster size distributions shown in Fig. 3. The homogeneous line width from a bulk CBF calculation is shown in the last line.


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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Lineshape of rotational spectrum of CO in He4 droplets