PHYSICAL REVIEW A 82, 042704 (2010)
Orientation and alignment effects in electron-induced ionization of a single oriented water molecule
C. Champion
1,*
and R. D. Rivarola
2
1
Laboratoire de Physique Mol´ eculaire et des Collisions, ICPMB (FR CNRS 2843),Universit´ e Paul Verlaine-Metz, 1 boulevard Arago,
F-57078 Metz Cedex 3, France
2
Instituto de F´ ısica Rosario, CONICET and Universidad Nacional de Rosario, Avenida Pellegrini 250, 2000 Rosario, Argentina
(Received 18 May 2010; published 11 October 2010)
We here report a theoretical study about the orientation effect on the total ionization cross sections for a
single oriented water molecule. The theoretical description of the ionization process is performed within the first
Born framework with a collisional system including an initial state composed of a projectile and a water target
molecule described by a plane wave and an accurate one-center molecular wave function, respectively, and a
final state constituted by a slow ejected electron represented by a Coulomb wave and a scattered (fast) electron
projectile described by a plane wave. Secondary electron energetic distributions as well as total cross sections
are then compared for particular target configurations pointing out strong alignment and orientation effects on
the description of the ionization process.
DOI: 10.1103/PhysRevA.82.042704 PACS number(s): 34.50.Gb, 34.10.+x
I. INTRODUCTION
Target orientation effects on electron-induced ionization
and fragmentation of molecules have been the subject of scarce
experimental as well as theoretical investigations. In a general
way, for high-enough projectile velocities, the reaction time
τ (
∼
=10
−16
s) remains considerably shorter than the rotational
and vibrational periods of the molecules which permits us
to assume that the impacted target molecule remains frozen
during the collision [1,2]. Under these conditions, for the case
of diatomic targets, the initial orientation of the molecular axis
can be experimentally derived from the measured fragment
velocity vectors and the ionization cross section studied
as a function of the alignment of the molecular axis with
respect to the electron beam. On this matter, this progress
is essentially due to the use of the coincidence multihit
cold-target recoil-ion-momentum spectroscopy (COLTRIMS)
imaging technique, which made possible the study of the
different dissociation channels with, in particular, the mo-
mentum detection of the target fragments following molecular
dissociation [3].
The existing studies remain, up to now, essentially focused
at the multidifferential scale for simple molecules like H
2
impacted by electrons [4] or positrons [5] and to the best
of our knowledge only a few studies have reported total
ionization cross sections for oriented molecules since the
pioneering works of Kasai et al. [6] dedicated to indirect
ionization induced by a 700 eV electron beam. Furthermore,
let us cite the more recent work of Aitken et al. [7] where the
authors investigated the ionization of the prolate symmetric top
molecule CH
3
Cl impacted by 200 eV electrons to determine
the production of the molecular CH
3
Cl
+
and the fragmentation
product CH
3
+
. The ionization cross section for the CH
3
Cl
+
formation was then found higher at the positive end of
the molecule whereas the observed cross section for the
formation of the CH
3
+
fragmentation product was relatively
independent of the target orientation. On the theoretical
side, let us mention the recent work provided by Kretinin
*
Corresponding author: champion@univ-metz.fr
et al. [8] where total inelastic and integrated cross sections
were reported within a Born-Bethe-type approximation and
that performed by Gorfinkiel and Tennyson [9] where cross
sections for the electron impact ionization of H
3
+
and H
2
molecules were determined by using the molecular R-matrix
method with pseudostates. Finally, the orientation effect on
single-electron-induced ionization was also studied by Stia
et al. [10] who pointed out that the interference structures
coming from the two-center geometry of the target molecule,
namely, the H
2
molecule, were markedly dependent on the
molecular orientation as already observed by other authors for
heavy ion impact [11].
For single oriented water molecules there are no investiga-
tions except the very recent three-dimensional mapping of pho-
toemission provided by Yamazaki et al. [12] in which the O
1s
photoelectron angular distributions from a single oriented H
2
O
molecule were studied in detail. The experimental results also
obtained within the quadruple coincidence framework clearly
revealed the anisotropic feature of the photoionization dynam-
ics. The lack of experimental information makes reliable theo-
retical predictions valuable. In this context, we have previously
reported multidifferential cross sections for the (e,2e) process
on a single oriented water molecule within the framework of
the first Born approximation and clearly identified a molecular
orientation effect on the angular distributions of the secondary
ejected electron for three particular geometric configurations,
namely, a “parallel,” an “antiparallel,” and a “perpendicular”
configuration which correspond to three target positions
differing by the position of the hydrogen atoms with respect
to the incident electron beam. Secondary electron angular
distributions were then investigated in detail for each ionized
molecular subshell via eightfold differential cross-section
calculations and have evidently demonstrated their relative
predominance with respect to the target orientation [13,14].
In the present work, we aim to point out that the molecular
orientation is still crucial when less differential ionization
cross sections are investigated, namely, in terms of secondary
electron energy distributions (and more particularly the mean
kinetic energy transfer) and total cross sections.
In the sequel, we deal with the theoretical model developed
here for calculating the total ionization cross sections for
1050-2947/2010/82(4)/042704(8) 042704-1 ©2010 The American Physical Society