Quasi-Resonant Vibration-Rotation Transfer in Inelastic Li
2
*-Ne Collisions
†
Brian Stewart*
Department of Physics, Wesleyan UniVersity, Middletown, Connecticut 06549
Peter D. Magill
Lucent Technologies, Murray Hill, New Jersey 07974
David E. Pritchard
Department of Physics and Research Laboratory of Electronics, Massachusetts Institute of Technology,
Cambridge, Massachusetts 02139
ReceiVed: April 17, 2000; In Final Form: August 15, 2000
We present the results of a detailed study of the influence of rotational angular momentum on vibrotational
transfer in the system Li
2
*(V
i
,j
i
) + Ne f Li
2
*(V
f
,j
f
) + Ne, where V
i,f
and j
i,f
indicate initial and final vibrational
and rotational levels, respectively, and Li
2
* is in its first electronically excited
1
Σ
u
+
state. Level-to-level inelastic
rate constants for j
i
up to 76 have been measured. The measurements span 4 orders of magnitude in size and
include |ΔV| e 5 and |Δj| e 50. The results extend the range of previous measurements in this system and
further document the phenomenon of quasiresonant vibrotational transfer. This process, induced by high
rotational angular momentum, results in large rate constants for vibrational transfer and a systematic correlation
of Δj and ΔV according to the rule Δj )-4ΔV. At j
i
g 64, the total vibrationally inelastic rate constant is
found to be larger than the total rotationally inelastic rate constant. A fully classical treatment of the dynamics
on an ab initio potential surface results in rate constants that agree remarkably well with the data.
I. Introduction
Inelastic atom-diatom transfer under ordinary conditions is
dominated by rotational transfer; the probability of vibrationally
inelastic transfer is generally orders of magnitude smaller. This
is because, for most collisions at thermal velocities, the atom-
molecule force contains only a small component at the oscillator
frequency and the collisions are vibrationally adiabatic. For this
reason, increased collision energy generally enhances vibra-
tionally inelastic transfer.
1
However, molecules with small
moments of inertia can have, at large j, rotational frequencies
and energy level spacings comparable to those of the vibration.
In such cases, the vibrational and rotational motions can become
strongly coupled by the collision, and the probability of
collisionally induced vibrational transfer can be greatly en-
hanced. In fact, rotational enhancement of vibrational transfer
was proposed as early as 1962 by Cottrell and Matheson
2,3
to
account for the observation that pure methane undergoes
vibrational relaxation more rapidly than tetradeuteromethane.
These authors reasoned that the larger average angular velocity
of methane at a given temperature results in a greater effective
collision velocity and, hence, an enhanced probability for
vibrationally inelastic collisions.
Work at M. I. T. has resulted in the first level-resolved
measurements of vibrational transfer at sufficiently high j
i
to
observe the onset of resonant vibration-rotation transfer. We
present here a detailed experimental study of vibrotational
transfer in the system Li
2
*(V
i
,j
i
) + Ne f Li
2
*(V
f
, j
f
) + Ne, where
7
Li
2
* is in its first electronically excited
1
Σ
u
+
state, V and j are
its vibrational and rotational quantum numbers, and i and f refer
to its initial and final quantum levels. This study extends the
scope of previous experimental studies
4-6
of the effect of j
i
on
the vibrotationally inelastic transfer process and permits us to
fully document the phenomenon known as quasiresonant
vibrotational transfer that occurs at high j
i
in Li
2
collisions. These
level-to-level measurements span a large dynamic range and
are unprecedented in the range of final quantum levels resolved.
A short account of this work has appeared previously;
7
in this
report we give full details of our many high-j inelastic rate
constant measurements. Renewed interest in the phenomenon,
8-10
particularly at the extremely low temperatures now attainable
in magneto-optic traps,
9
prompts us to give a detailed account
of our data at this time. In addition, we present results of
classical trajectory calculations on an ab initio potential surface
that was not available at the time of our initial report.
The remainder of this section summarizes the hallmarks of
the quasiresonant transfer process and reviews previous calcula-
tions and experiments that are relevant. Section II provides a
brief description of the experiment and a summary of the
technique we use to obtain level-to-level rate constants from
collision spectra. Section III presents the rate constants and a
description of their main features. Section IV contains results
of classical trajectory calculations on an ab initio potential
surface that agree remarkably well with the data, as well as a
discussion of some of the issues that arise when binning
quasiclassical trajectories for a process that is sharply peaked
with respect to the final action. Section V is devoted to a brief
discussion of the mechanism of quasiresonant transfer and a
review of recent relevant literature.
A. Quasiresonant Vibrotational Transfer. The first level-
to-level rate constant measurements in the similar system Li
2
*-
Xe were made by Saenger et al.
4
They found that increased
†
Part of the special issue “C. Bradley Moore Festschrift”.
* Corresponding author. E-mail: bstewart@wesleyan.edu.
10565 J. Phys. Chem. A 2000, 104, 10565-10575
10.1021/jp001445c CCC: $19.00 © 2000 American Chemical Society
Published on Web 10/25/2000