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Rotation of methyl radicals in a solid argon matrix
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Image of FIG. 1.
FIG. 1.

The ESR spectrum of in solid Ar, obtained at , consists of the lines of the symmetric spin state and exhibits axial asymmetry as manifested by the splitting in panel (a) and the well-matching simulation result shown on top of the experimental lines. The anisotropy for the axial hyperfine and -tensor parameters are and , respectively. The panels [(a), (b), (c), and (d)] corresponding to transitions at four nuclear spin orientations, , , , and , respectively, are recorded separately due to the low modulation frequency of . The modulation amplitude was . The magnetic field sweep was wide ( data points) for each transition and the central is shown in each panel. The signal intensities are scaled to the same level in each of the panels.

Image of FIG. 2.
FIG. 2.

The portion of the ESR spectrum of in Ar at temperatures. The transition of the antisymmetric spin state emerges to the high magnetic field side of the symmetric spin state transition line as the temperature is elevated. The frequency fluctuation of the microwave source is compensated by shifting the resonance positions to the same magnetic field value in the panels. The noise is reduced by presenting wide running averages of the original data (using 27 data point smoothing).

Image of FIG. 3.
FIG. 3.

Temperature dependence of the ESR spectrum parameters of in Ar obtained from numerical analysis. Top panel: intensity ratio of the symmetric and antisymmetric nuclear spin states compared to the gas phase rotational energy level distribution. The fit gives a slope of corresponding to the energy separation of the ground and first excited states. Lower two panels: isotropic hyperfine coupling constants and transition linewidths for the and nuclear spin states.

Image of FIG. 4.
FIG. 4.

Plot of the inverse of the electron spin-lattice relaxation time vs the sample temperature for the radical isolated in Ar crystal. The linear regression fits for the four lower-temperature and four higher-temperature points have a crossing at .

Image of FIG. 5.
FIG. 5.

(Color online) A methyl molecule occupying a substitutional site of the fcc crystal of solid Ar. The rotational axes perpendicular to the molecular plane and along one of the C–H bonds of the molecule are shown. The present configuration represents a , orientation of the molecule with respect to the crystalline cage. Two solvation shells, i.e., the 12 nearest-neighbor and 6 second-nearest Ar atoms are represented by the large circles. The crystal field axis system is designated as , , and .

Image of FIG. 6.
FIG. 6.

Left panel: rotational energy levels of methyl radical in cubic crystal lattice (solid lines) as a function of crystal field parameter . The potential minimum at ⟨100⟩ and saddle point at ⟨110⟩ are drawn with dashed lines. Right panel: the energy spectrum scaled with respect to the ground state. Arrows are drawn to show the energy separation extracted from the experiment.

Image of FIG. 7.
FIG. 7.

Rotational energy levels of methyl radical in cubic crystal lattice as a function of crystal field parameter , when the potential strength is fixed to either (left panel) or to (right).

Image of FIG. 8.
FIG. 8.

(Color online) Rotational potential energy landscape for in the 18-atom Ar cage calculated with Table I parameters by Eq. (9). The angle corresponds to rotation about the axis of the molecule, and for each , a 0°-180° rotation about the axis along the C–H bond indicated in Fig. 5 is carried out.

Image of FIG. 9.
FIG. 9.

Potential energy cuts for - and -type rotations. The two cuts and the with can be read directly from Fig. 8, whereas the thick solid line maps the rotation with axis locked in orientation.


Generic image for table
Table I.

Buckingham model parameters used in Eq. (9) for the interaction. The attractive well depth parameter (implicit in ) is also given.

Generic image for table
Table II.

Potential energy extrema for the crystal field (CF) model at , and the pair-potential (PP) evaluation of interaction in the 18-atom cage.


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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Rotation of methyl radicals in a solid argon matrix