Molecular Dynamics Simulation of Fe
2+
(aq) and Fe
3+
(aq)
Sami Amira,
†
Daniel Spångberg,
†
Michael Probst,
‡
and Kersti Hermansson*
,†
Materials Chemistry, The Ångstro ¨m Laboratory, Uppsala UniVersity, Box 538, S-751 21 Uppsala, Sweden, and
Institut fu ¨r Ionenphysik, Leopold Franzens UniVersita ¨t, Technikerstrasse 25, A-6020 Innsbruck, Austria
ReceiVed: April 2, 2003; In Final Form: July 7, 2003
Molecular dynamics simulations of single-ion Fe
2+
(aq) and Fe
3+
(aq) solutions have been performed with two
rigid-water models (SPC and SPC/E) and a newly constructed SPC-based flexible-water model (SPC+CCL).
The SPC+CCL water model in combination with effective Fe
2+
and Fe
3+
ion-water potentials manages to
reproduce many experimental structural and dynamical properties of the solutions. Special attention is given
to the large ion-induced frequency shifts of the OH stretching bands, which are also well reproduced by the
SPC+CCL model.
1. Introduction
Solvent structure and solvent exchange are important keys
to understanding the dynamics of chemical reactions in solution.
The motion of solvent molecules and the way they arrange
themselves around reacting species critically affect the energetics
and kinetics of the chemical reactions. The experimental
determination of solvation structure and dynamics is generally
not a trivial task; here computer simulations (Monte Carlo,
molecular dynamics (MD)) can help provide precise molecular-
level information. An extensive compilation by Ohtaki and
Radnai
1
summarizes experimental and theoretical results for
aqueous ionic solutions until 1993.
In this paper, we are concerned with the solvation structure
and the ionic and molecular dynamics of dilute aqueous
solutions of Fe
2+
and Fe
3+
. Previous theoretical studies of
ferrous and ferric ions in aqueous solutions discuss solvation-
shell structure,
2-7
ion and water diffusion,
7
hydrolysis,
8
charge-
transfer reactions,
9-11
ion-pair interactions,
12-14
ligand acidity,
15
many-body effects,
2,3,16
and solvent isotope effects.
4,5
Recently,
the Fe
2+
ion in aqueous solution has been studied by the Car-
Parrinello molecular dynamics technique
17,18
with the focus on
chemical reactions in solution. Also very recently, the diffusion
properties and librational and vibrational motions of water
molecules in the first and second hydration shells of Fe
2+
and
Fe
3+
were studied by ab initio QM/MM molecular dynamics
simulations, where the ions and water molecules inside the first
shell were treated quantum-mechanically and those outside it
by a force-field method.
19
Most of the classical simulations have used the Fe
2+
and Fe
3+
ion-water potentials developed by Curtiss et al.
2
or Kuharski
et al.,
11
combined with rigid-water models (SPC, SPC/E), except
for the paper by Floris et al.,
3
in which an effective pair potential
based on the polarizable continuum model was used. Flexible-
water Fe
2+
(aq) and Fe
3+
(aq) simulations have been published
by Curtiss et al.,
2
and both rigid- and flexible-water simulations
have been published by Gua `rdia et al.,
7
who combined the ion-
water potential by Curtiss et al. with the SPC
20
and the flexible
SPC water models by Toukan and Rahman (SPC-TR)
21
to study
the effect of flexibility on the structural and dynamical properties
of the solution. Kneifel et al. used both the flexible Bopp-
Jancso ´ -Heinzinger (BJH) water model
22
(in ref 4) and a flexible
SPC model (SPC combined with a modified version of the
intramolecular part of the BJH model) (in ref 5) in studies that
focused on solvent isotope effects.
In the present work, the structure and dynamics of water
molecules around the Fe
2+
and Fe
3+
ions, as well as the ionic
diffusion, are studied using a new flexible water model
(SPC+CCL) combined with the ion-water potential by Curtiss
et al. We have chosen to describe the iron-water interaction
by the existing off-the-shelf effective iron-water potentials by
Curtiss et al. because they are known to give good results
together with the SPC-based water models. We compare the
results using the SPC+CCL model with those from the rigid-
body SPC and SPC/E water models. The emphasis in this paper
lies on the performance of the new flexible water model. Our
study includes an elaborate discussion of the O-H stretching
frequency, a property which is most-sensitive to the details of
the intra- and intermolecular potentials. The OH stretching
frequency of water molecules in the first hydration sphere of
trivalent ions is known from experiment to down-shift as much
as approximately -850 cm
-1
compared to the gas-phase value.
23
The layout of the paper is as follows. The interatomic
potentials and the MD simulations are described in the Method
section. In the Method section, we also introduce the new
flexible-water model used in our simulations. The results are
presented and discussed in the Results and Discussion section,
where the structural and dynamical properties, as well as the
intramolecular vibrations, are reported.
2. Method
2.1. The Interatomic Potentials. Both flexible-water and
rigid-water MD simulations were performed. In all cases, the
intermolecular ion-water and water-water interactions were
described by means of pair-additive potentials.
We have recently constructed a simple flexible-water model,
which was found to satisfactorily reproduce many of the
properties of pure liquid water, including the OH vibrational
band (both its absolute position and its shift with respect to the
gas phase
24
). In this model (SPC+CCL), the H
2
O-H
2
O
interactions are expressed as a simple sum of inter- and
* To whom correspondence should be addressed. E-mail: kerst@
mkem.uu.se.
†
Uppsala University.
‡
Leopold Franzens Universita ¨t.
496 J. Phys. Chem. B 2004, 108, 496-502
10.1021/jp034855k CCC: $27.50 © 2004 American Chemical Society
Published on Web 12/10/2003