Breakup dynamics and isotope effects in D
2
H
+
and H
2
D
+
dissociative recombination
D. Strasser,
1
L. Lammich,
2
H. Kreckel,
2
M. Lange,
2
S. Krohn,
2
D. Schwalm,
2
A. Wolf,
2
and D. Zajfman
1,2
1
Department of Particle Physics, Weizmann Institute of Science, Rehovot, 76100, Israel
2
Max-Planck-Institut für Kernphysik, D-69029 Heidelberg, Germany
(Received 17 February 2004; published 15 June 2004)
The breakup dynamics of D
2
H
+
and H
2
D
+
following dissociative recombination with low energetic electrons
has been studied combining two-dimensional imaging and storage ring techniques. The kinematical correlation
between the hydrogen and deuterium atoms produced in the three-body channel was measured. We found that
the three particles tend to dissociate with a geometry close to linear, and that the deuterium atom has a large
probability to be at the center. The data also show that the remaining average internal excitation energy stored
in the rotation of the D
2
H
+
and H
2
D
+
molecules corresponds to a temperature of less than 70 meV, much less
than observed for the H
3
+
and D
3
+
species previously examined.
DOI: 10.1103/PhysRevA.69.064702 PACS number(s): 34.80.Lx
The triatomic hydrogen ion H
3
+
is the dominant posi-
tively charged molecular ion in all hydrogen containing
plasma. Its destruction by dissociative recombination (DR)
with free electrons, leading to neutral atomic and molecular
fragments,
H
3
+
v, J + e
-
→
H1s +H1s +H1s
or
H
2
v', J' +H1s
1
thus plays a key role in understanding the reaction dynamics
and the atomic and molecular composition of these ionized
systems. In particular, the DR rate coefficient and its influ-
ence on the abundance of H
3
+
and its isotopomers is a criti-
cal ingredient in astrochemical models of the cold interstellar
medium [1], as these species play a dominant role in reac-
tions which lead to molecule formation [2] and determine the
deuteration fraction of interstellar molecules [3].
In view of its astophysical importance and its benchmark
character in quantum chemistry, the DR of cold H
3
+
ions and
its isotopomers with low energetic electrons has been the
subject of intensive experimental [4–6] and theoretical [7–9]
studies during the last years. But despite these efforts and the
apparent simplicity of the system, the DR process turned out
to be a challenge to both experiment and theory. Experimen-
tally, the control of the initial excitation of H
3
+
is the main
issue, while theoretically the three dimensionality of the pro-
cess constitutes the main difficulty. Complete energy depen-
dences for the DR cross section have been measured at sev-
eral storage rings [5,10–12] for H
3
+
, shown to be
vibrationally but not rotationally relaxed prior to recombina-
tion [13], and rate coefficients of the order of =1
10
-7
cm
3
s
-1
for 300 K electrons have been deduced. In
contrast, recent experiments using the flowing afterglow
technique [14,15] have determined an upper limit of only 3
10
-9
cm
3
s
-1
for the H
3
+
DR rate coefficient. While the
difference between the two techniques remains unexplained,
a calculation [8,9], which treats the fragmentation reaction in
its full dimensionality, is supporting the storage ring results.
Using storage rings, DR cross sections were measured also
for the isotopomers of H
3
+
(Refs. [16–20]) and branching
ratios between the two- and three-body dissociation channel
[see Eq. (1)] have been determined to be 1:3 for H
3
+
,D
3
+
,
and H
2
D
+
[18]; in addition, the HD /2H
2
ratio in the DR
of H
2
D
+
was found to be 1.20±0.05, slightly in favor of HD
rather than H
2
production.
Recently, we have performed detailed experiments related
to the dynamics of the breakup of H
3
+
and D
3
+
in the DR
process [21–23] by measuring the kinematical correlation be-
tween the three hydrogen or deuterium atoms [see Eq. (1)]. It
was found that the three neutral atoms produced by the DR
reaction tend to dissociate along a straight line (while the
original structure of the molecular ions is an equilateral tri-
angle). An additional important outcome of these experi-
ments has been the evidence for high kT
rot
230 meV ro-
tational excitations of the molecular ions prior to
recombination even after storage times of several tens of
seconds. These results have led to storage ring experiments
[5] and resulted in somewhat lower rate coefficients for H
3
+
when using an ion source producing rotationally colder ions.
In this work, we present an experimental study of the
dissociation dynamics and of isotope effects in the DR of the
isotopomers D
2
H
+
and H
2
D
+
, investigating the momentum
distribution between the three neutral fragments. Our data
also indicate that already after a short storage time the re-
maining rotational excitation for both D
2
H
+
and H
2
D
+
is
considerably lower than observed for the symmetric species,
an expected result as the asymmetric isotopomers, unlike
H
3
+
and D
3
+
, have a nonvanishing permanent dipole moment
(0.60 Debye and 0.48 Debye for H
2
D
+
and D
2
H
+
, respec-
tively [24]) and can, therefore, radiatively cool both the vi-
brational and rotational motion.
The experiments were carried out at the Test Storage Ring
(TSR) located at the Max-Planck-Institut für Kernphysik,
Heidelberg, Germany applying a technique which has been
previously described in detail [21]. In the present case, H
2
D
+
D
2
H
+
ions were produced in a “hot” gas discharge ion
source, and accelerated using a radio-frequency quadrupole
accelerator to a kinetic energy of 1.9 meV for H
2
D
+
and
1.2 meV for D
2
H
+
before being injected into the storage
ring. After each injection, about 10
6
ions were stored in the
ring (55.4 m circumference) in an average vacuum of about
PHYSICAL REVIEW A 69, 064702 (2004)
1050-2947/2004/69(6)/064702(4)/$22.50 ©2004 The American Physical Society 69 064702-1