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Reactivity, Dynamics & Spectroscopy |

To compute
the reactivity
of a molecule in the presence of stimulation or activation is both a
fundamental
and a very important challenge. The challenge is fundamental
because,
when a given application demands accurate answers, the full
computational
approach requires a deep probing into the quantum description of the
molecule,
necessitating the highest levels of computing hardware and algorithm
design. The challenge is important because it is ultimately the time-dependent
reactivity and relaxation of molecules that determines their
functionality. For example, the way in which atmospheric pollutants will interact with
air, sunlight, water and other pollutants to produce smog and the rate
at this smog will ultimately dissipate. Or, the rate at which a
maturing
protein is able to fold around itself and generate it's secondary and
tertiary
structures, and then the rate at which the final biosynthetic steps
occur
to produce the fully functioning biopolymer.
These very different examples are of course addressed with different
theoretical and computational methods. However, the fundamental
importance
of (i) understanding molecular reactivity, molecular dynamics and
molecular
spectroscopy and (ii) developing computational methods for achieving
quantitative
accuracy in a wide range of different contexts is undeniable.
Australia has a strong history of activity in the area of reaction
dynamics, molecular kinetics and spectroscopy. A characteristic
feature
of computational work in this area has been the synergistic fashion in
which it has both informed experimental measurement and inspired new
experimental
investigation to test theoretical predictions. The summary below
highlights some of the major areas of contemporary activity, which
place
Australia in the forefront of the international scene.
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Potential
Energy Surfaces
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Molecules
interact
and react with each other according to the forces they experience.
These
forces are derived from the way in which the electronic energy of the
combined
molecular system changes with the motion of the atoms. Hence, the
rigorous
way to determine the atomic forces which will govern the way molecules
behave is to solve the electronic Schrödinger equation
incrementally
for all relevant configurations of the atoms. Of
course, provided the electronic energy is not varying too rapidly with
position of the atoms (i.e., provided it is a moderately smooth
function)
then one should be able to solve the electronic Schrödinger
equation
at only a discrete set of points. Then one can use function-fitting
approaches,
or interpolation approaches to work out what the energy would be at any
position near the points where it has been computed. The questions of
(a)
how to efficiently choose the points at which one should compute the
energies,
and then (b) how one should efficiently go about the functional fitting
or
interpolation have been addressed intensively by the Dynamics
Group at the Research School of Chemistry, Australian National
University.
The method introduced and developed systematically over a number of
years
by the ANU group and its former members relies on a generalised Taylor
series interpolation method, known as Shephard interpolation. It is a
self-learning
algorithm in which the computer determines where to place the next
points
according to a predefined criterion for relevance, and where each new
energy
point computed is added to the database and hence builds the foundation
for a continually improving interpolated representation of the
electronic
energy (or, potential energy) surface. Classical molecular dynamics
simulations
are most commonly used, based on the existing potential energy data
set,
to estimate which parts of the configuration space (i.e., which
geometries
of the atoms) have still only poorly been sampled - this then provides
the automated means of choosing where to compute the next energy point.
The approach of the ANU group has become widely recognized in recent
years
and has lead to a number of national and international collaborative
projects
on highly challenging and important molecular problems. Groups at Sydney
and Singapore
are also actively applying and developing this technique. Identifying and
understanding the critical features of molecular potential energy
surfaces
is often essential in interpreting experimental data in a wide range of
areas including interstellar chemistry, industrial and catalytic
chemistry
and non-covalent reactivity and dynamics.
At The
University
of Adelaide researchers are undertaking experimental and
theoretical studies of transient neutrals which are either interstellar
molecules or potential interstellar molecules. The Adelaide
group's approach is to form such molecules by one electron oxidation of
negative ion precursors in a mass spectrometer, and to use the positive
ion mass spectra of the ionised neutrals as a probe of structure. As an example, the positive ion spectrum (below) of the 13C
labelled neutral CC13CCC shows that complete carbon
scrambling occurs when the neutral is energised. Reaction
coordinate calculations indicate that the carbon scrambling occurs via
equilibrating rhomboid intermediates.
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Charge reversal mass
spectrum of CC13CCC.
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The chemistry of silylene,
SiH2, and to a lesser extent germylene, GeH2, has
been the focus of a considerable amount of attention over the last 2
decades
due to the importance of these group IV electron-deficient radicals in
chemical vapor deposition, semiconductor manufacture, and the photonics
and aerospace industries. In particular, the oxidation chemistry
of silylene has received considerable attention, both experimental and
theoretical, in recent years. For example, silylene is well known
to insert into O-H bonds via a zwitterionic donor-acceptor
intermediate. Nonetheless, there remains a paucity of experimental data
characterizing
the energetics and kinetics of silylene oxidation chemistry. Even
less experimental data are available to characterize the oxidation
chemistry
of germylene. Ab initio quantum chemistry has proven to
be
a valuable tool in developing a more detailed understanding of the
chemistry
of the silicon-oxy-hydrides, SixHyOz.
At
The
University of
Adelaide
molecular orbital calculations have been performed to explore the
reaction
potential energy surfaces of singlet silylene and germylene with water,
methanol, ethanol, dimethyl ether, and trifluoromethanol. Two new
reaction channels have been identified on the reaction surfaces. The previously unknown reaction channels involve H2
elimination
following the initial formation of an association complex. For
reactions
involving singlet silylene and water (see the figure below), a simple
activated
complex theory (ACT) analysis predicts that these newly identified
reaction
channels are equally likely to be accessed as the previously identified
1,2 hydrogen atom shift channels. For reactions involving singlet
germylene and water, a similar ACT analysis predicts that the H2-elimination
channels will occur in preference to the 1,2 hydrogen shift. Indeed,
the room-temperature rate constants for H2 elimination from
the germanium complex are predicted to be approximately 5 orders of
magnitude
greater than for the H atom migration channel.
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MP2/6-311++G(d,p)
stationary
points determined on the silylene-plus-water reaction potential energy
surface. Note that the pathways leading to the formation of syn-
and
anti-hydroxysilylene
are hitherto unknown. Stationary point
energies are given in kJ mol-1. |
Van der Waals complexes
provide insights into intermolecular bonding in condensed phases and
for
this reason are the subject of intense scrutiny, both theoretically and
experimentally, from the international chemical physics
community. Researchers at The
University
of Adelaide and Flinders
University are using ab initio theory to explore the
potential
energy surfaces of van der Waals complexes involving one or more atoms
(typically argon) or small polyatomic molecules (eg. nitrogen or
acetylene)
bound to an aromatic molecule (benzene or p-difluorobenzene). These
studies are at the cutting edge of international work in the
field. In particular, ab initio interrogation of trimer complexes are
providing
insights into 3-body effects in intermolecular interactions, improving
our understanding of intermolecular interactions in model systems of
relevance
as targets for improving our ability to model chemistry in condensed
phases.
Metal-molecule
interactions play
an important role in heterogeneous catalysis, however, the subtle
interplay
between the metal surface and the reacting molecules that drive these
chemical
reactions is often poorly understood. Improvements to catalytic
processes can
be achieved by developing a better understanding of the crucial steps
at the
metal-molecule interface, including characterisation of key reaction
intermediates in the catalytic cycle. Researchers in the Laser
Chemistry
Laboratory at the University of Adelaide are exploring the chemical
and
physical properties of interfacial metal-molecule bonds via a combined
experimental and computational investigation of model chemical systems
in which
a molecule is adsorbed onto a small metal cluster. Over the last
few years,
these workers have developed extensive experience using DFT methods to
calculate reaction pathways and energies associated with physisorption,
associative chemisorption and dissociative chemisorption. For
example,
calculations for the Nb3 + CO reaction indicate that interaction of CO
spontaneously leads to dissociation, consistent with the latest
experimental
findings. Recent work on the other 4d transition metal trimers
(e.g. Rh3, Ag3)
indicate that the most thermodynamically favourable pathway can be
predicted in
terms of the energies of the molecular orbitals of the CO molecule and
the
electron density of the metal cluster. Future consideration will
be given
towards adding or withdrawing electron density from the metal cluster
moiety. What happens if a positive or negative charge is added? Alternatively, what if
an electron-donating atom, or an electron-withdrawing atom, is added to
the
metal cluster (i.e. carbon c.f fluorine)? Are
these effects
analogous to the surface additives effects (i.e. poisons and
promoters)
observed on bulk surfaces reactions? DFT calculations can provide
insight into
these answers in a way that experiment alone cannot. Furthermore,
in this
manner, it may be possible to create an ideal cluster that has specific
bonding
characteristics that allow the production of finely tuned
nano-catalysts.
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The reaction potential
energy surface for Nb3 + CO. Stationary
point energies are given in eV. |
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Molecular
Dynamics
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Molecular
dynamics
is a now standard tool for exploring reactivity and time-dependent
relaxation
(folding) as well as equilibrium properties. The tool is used for fully
converged rate predictions in smaller molecular systems as well as for
gaining qualitative understanding of structural and dynamical features
in complex materials or biopolymer systems. A topical issue, and a
major
direction for future advances in this field, is the question of how to
effectively integrate intrinsically quantum phenomena into the broadly
classical MD treatment of large molecular systems.
For example,
photosynthesis
involves generation of a charge separation via electron transfer after
initial absorption of light. The electron transfer is fundamentally a
quantum
phenomenon, not described adequately by classical mechanics, yet much
of
the structural and relaxational aspects of the surrounding protein are
adequately described by a classical MD treatment. A related question is
to determine accurately the energetics of reactions such as electron
transfer,
bond cleavage and rearrangement or proton transfer – this implies the
need
for accurate solutions of the electronic Schrödinger equation in
the
vicinity of the reaction, while more distant parts of the protein can
in
principle be dealt with at a lower level of electronic structure
theory.
The Molecular
Electronics Group
in Sydney are world leaders in quantum/classical modelling of the
photosynthetic
reaction centre, and also other molecular electronics applications
where
the kinetics and reversibility of electron transport is an important
issue (shown at left is a DFT simulation of the dynamics of device
interfaces
at high temperature).
Groups at the Australian
National University (ANU Supercomputing Facility and the John
Curtin
School of Medical Research) are working on new computational approaches
for solving the electronic Schrödinger equation in very large
systems
that will give superior scaling properties as the size of the enzyme or
protein increases. The Centre for
Computational
Molecular Science (CCMS) at UQ is exploring pathways for complex
multi-step
proton transfer in proteins and developing models to describe the
time-dependent
quantum dynamics of this phenomenon.
Researchers
in the Department
of Chemistry at The University of Basel
are focussed on theoretical investigations
of
structure and dynamics of macromolecular systems and assemblies and the
development of algorithms to describe their interactions and
physico-chemical
properties. The Basel group is actively involved in devising
algorithms
for morphing potential energy surfaces and for mixed quantum-classical
nuclear dynamics. A primary interest is the calculation of
accurate
intermolecular interactions for reactive processes. Potential
energy
surfaces developed for such purposes can also be used to investigate
molecular
clusters. Systems of particular interest include ligand binding
in
heme-containing systems (myoglobin, P450), electron-coupled proton
transfer
(Ferredoxin I), structural and dynamical investigations of insulins and
their mutants, and proton transfer reactions in biologically relevant
systems
(proton wires, DNA- and base-pair analogues).
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A representation of
insulin. The time-dependent behaviour of this species
is studied
by researchers at The University of Basel, Switzerland.
Geminal to experimental
studies of the optical spectra of gas phase species of astrophysical
interest
is the prediction of excited state energies by ab initio methods. Ab
initio support is crucial in assigning spectra to their isomeric
structure.
In order to predict accurate excited state energies of large molecules,
accurate
ab initio methods are required which scale favourably with
system size. Dr Tim Schmidt at the University
of Sydney is developing a way to localize
electrons
for a Diffusion Monte Carlo calculation. Taking an initial
guiding
function from CASSCF (converged with respect to nodes), a Diffusion
Monte
Carlo is performed to retrieve the dynamic correlation energy.
Proper
exploitation of localized orbitals and therefore sparse Slater
Determinant
coupled with a technique for keeping electrons "in their place"
yields
a linearly scaling calculation resulting in accurate excitation
energies
for comparison with laboratory spectra. These methods are being
applied
to carbon-chain molecules as large as HC26H and smaller
exotic
species such as C9H3.
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Quantum
Dynamics
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When the application demands a fully quantum mechanical description
of not only the electronic degrees of freedom, but also of the
nuclear motions, then the computational arsenal of molecular
reactive scattering comes into play. Australia has activity in a
number of leading examples of this important computational
technology. The
CCMS at UQ
have pioneered the development of new iterative quantum dynamical
approaches to solving the scattering Schrödinger equation. These
new methods are based on generalised applications of the iterative
Lanczos recursion - a method which hitherto was well known in the
domain of bound state calculations but only very primitively
implemented for molecular scattering. The UQ group have developed a
range of new techniques that allow extremely efficient computation
of molecular bound states, resonance energies, product state
distributions from unimolecular dissociation, and full
state-to-state reactive and inelastic scattering probabilities.
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CCMS
signature graphic profiled in the international journal PCCP,
in association with an invited review article. |
The Lanczos-recursion-based
scattering methods developed at UQ, while significantly more
efficient, have many properties similar to the more well known
wavepacket methods. In particular, a single recursion (analogous to
a wavepacket propagation in real time) yields a single column of the
scattering matrix for all energies. The most recent breakthrough in
the application of the Lanczos methods finally breaks this paradigm.
In a recent development the UQ group have shown that the Lanczos
approach is capable of generating the entire S-matrix, for all
energies, from a single recursion. This is a landmark development in
the design of quantum scattering algorithms.
The dynamics group
at the ANU have developed a powerful collaboration with the
Singapore quantum scattering group. This development recognizes the
important contribution of the ANU group's potential energy surface
construction approach for the subsequent accurate quantum
predictions of reaction rates.
Another
important quantum methodology, which allows the prediction of ground
state properties and also thermal equilibrium properties, is quantum
monte carlo. A group at
Sydney have
developed considerable expertise in this area and are applying it to
the prediction of ground state properties of hydrogen bonded
systems. This is an important extension of much exploratory quantum
chemical study of such systems which the group has pursued in recent
years, and certainly places them near the leading edge of the field
in this area.
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Pathways &
Mechanisms
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Probing the
pathways
of molecular reactions is an essential first step to the computational
characterization
of processes as diverse as simple chemical reactions, biosynthetic
pathways,
and hydrogen storage in new materials. Such pathways are often
complex,
with fleeting intermediate species occurring along the way.
Free-radical polymerisation is a
complex chemical process, in which a
number
of competing chemical reactions occur. Determining the relative
rates
of these reactions is very important, as this enables
control of the molecular weight, architecture and composition of the
resulting
polymer. Owing to the complexity of the process, the rates of the
individual reactions are often difficult to obtain experimentally, as
they
have to be estimated from observable quantities (such as the overall
polymerisation
rate). To address this problem, researchers at the
Australian
National University have been combining high-level quantum-chemical
calculations with transition state theory, in order to predict the rate
coefficients for these individual reactions from first
principles. Already this computer-based approach has been able to provide
explanations
for rate retardation phenomena in the “RAFT” polymerisation process,
and
has identified previously unsuspected reaction pathways in certain RAFT
systems. Quantum-chemical calculations are also being used to
identify
the preferred sites for chain transfer reactions, which will allow
prediction of the architecture of the resulting polymer and its
sensitivity
to
various reaction conditions. Quantum chemistry thus has an
important
role to play in understanding and modelling free-radical
polymerisation,
and is already making important practical contributions to this field.
This theoretical work on free-radical polymerisation (FRP) reactions
complements modelling work on these processes which is being carried out at
the
University of Canterbury in New Zealand. Because FRP systems involve
complex kinetic mechanisms, their description typically involves numerous
rate coefficients. Workers have generally treated these as being freely
adjustable in value, and have not paid heed to whether the fitted parameter
values genuinely apply to the physical processes that are occurring. Thus
the modelling results have had little microscopic meaning. This problem is
being addressed by striving to determine and understand actual rate
coefficient values. In the case of activation-controlled reactions such as
propagation and transfer, this involves using quantum-chemical calculations
with transition state theory, as described above. In the case of
diffusion-controlled reactions such as termination, this involves using
polymer diffusion results, as conceptually illustrated in the diagram below,
in which the ˇ§pieces of spaghettiˇ¨ represent diffusing polymer molecules
(actually, molecular dynamics simulations of polymer molecules show that
spaghetti is a remarkably good model for the way in which polymer molecules
diffuse!).
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The
Spectroscopy
and Computational Group at UQ specializes in complementary
experimental
and computational studies to elucidate the reaction pathways and
intermediates
associated with unusual organic reactions. Similar
computationally
intensive activities are undertaken at Melbourne
University. Determining reaction mechanisms in surface and
solid state
catalytic reactions, and in hydrogen storage applications, are also
active
areas of research in Sydney,
Curtin
and at UQ.

The vast majority of chemical syntheses
carried out in industry are based on catalytic processes. Recent
advances in Quantum Chemistry and computing have opened the way to a
more fundamental approach to consider a process in terms of the
“microkinetics” of the individual chemical steps rather than in overall
terms. A research group at
The University of Sydney
have investigated the partial oxidation of methanol to formaldehyde
on silver. Most of the formaldehyde used in the world is
produced from this process. In current practice however, there is
essentially no attempt made to optimize for hydrogen production which
may result in great economic benefits. The figure to the left
shows methanol adsorption on oxidised silver. The Sydney group is also
applying quantum chemistry to the study of carbon char oxidation and
sulfur kinetics.
Researchers in
the School of Chemistry, University of Sydney, are interested in
using quantum mechanics to explore the photochemical reactivity of
halocarbons and aldehydes, both classes of molecules being of
significant atmospheric importance. Halogenated species have been
released to the atmosphere in significant amounts over the past few
decades. The group has been established, for the first time, that
irradiation of some of these compounds in the UV can lead to triple
fragmentation, producing a carbene and 2 halogen atoms. Further
experiments on the carbene intermediates have explained why some
carbenes undergo bond cleavage under UV exposure and others do not.
However, the explanation of the experimental data was enabled only
by a high level ab initio investigation of the electronic structure
of these carbenes. Other experiments on photodissociation reactions
of aldehydes have led to the first exploration of how the
3-dimensional rotation of a fragment provides information on the
transition state of a reaction, and how the 3-dimensional rotation
of a molecule affects the reaction outcome. There have been only 8
reactions for which the full 3-dimensional rotation of the products
has been measured, half of which have been measured by the Sydney
group. To date, it appears that one of the quantum numbers in these
reactions (the Kc quantum number) is a robust indicator of reaction
dynamics, even for quite large molecules. Various theoretical
approaches are now being applied to predict these experimental
outcomes.
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Molecular
Photophysics & Spectroscopy
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Australia has
several
active groups in the general area of computational simulation of
different
types of molecular spectroscopy. The interpretation of X-ray
spectra
to derive structural and, as time-dependent data becomes an achievable
reality with the intense light available from synchrotron sources,
ultimately
also dynamical properties is an area of active research at UNE
and at UWA.
Electron momentum spectroscopy provides unique avenues to determine
information
about the nature of external molecular orbitals. The
theoretical
treatment of this type of experiment proceeds via a dual space
(i.e.,
configuration and momentum space) analysis. A number of groups
are
active in the simulation of high resolution spectra for rovibrationally
excited molecules and also weakly bound clusters.
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Results
of calculations at Swinburne
on the highest-occupied molecular orbital of norbornadiene. |
Researchers
in the School of Biological and Chemical Sciences at Deakin University
use
a variety of theoretical and computational methods to probe the
fundamental
chemistry of reactions and processes at the molecular level. In
particular,
quantum chemical methods are being used to predict and interpret the energetics,
structure, NMR and UV spectra of short-lived molecules that are
produced
and reacted during a reaction. These quantum chemical methods
will
be combined with kinetic modelling to better understand the reaction
mechanism
of chemiluminescence systems. The understanding of the mechanism
of
chemiluminescence
reactions will enable identification of the reactive centre and the
role
(if any) of the side groups around that centre. This
information will be used to design chemiluminescent reagents with
improved solubility,
sensitivity
or selectivity, by substitution of the side groups. This will
enable
assessment
of the compositions of complex mixtures with minimal separation.
The Deakin
team also
collaborates
with the Dynamics
Group at the ANU
to predict and understand the collisional energy transfer step that is
the precursor to combustion and other gas-phase chemistries.
At The
University of
Adelaide, studies of host defence secretions of Australian anurans
has, to date, resulted in the identification of over 200 bioactive
peptides. Mass spectrometry is used to sequence the
peptides, but a combination of 2D nuclear magnetic resonance
spectroscopy and molecular modelling is used to identify the 3D
structure of the active molecule. As an example, the 25 residue
peptide caerin 1.1 is a peptide with multifaceted activity. It is
a wide-spectrum antibiotic and a fungicide, it is active against all
types of human cancers, and it inhibits the formation of nitric oxide
by neuronal nitric oxide synthase. The 3D structure (below)
identifies it as a peptide with two helical regions separated by a
central flexible hinge.
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The 3D structure of caerin
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Clusters and Solvation
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| Interactions
between
ions and molecules are central to a vast range of chemical and physical
phenomena including the properties of gases, liquids, and solids,
acid-base
chemistry, the structures of biomolecules, the conductivity of membrane
ion-channels, and ion solubility. In most situations, ion-neutral
intermolecular forces ensure that ions are surrounded by a structured
sheath
of neutral solvent molecules that not only stabilizes them with respect
to recombination with counter-ions, but also profoundly affects their
chemical
properties.

Researchers at The
University of Melbourne are seeking to develop a microscopic
understanding of ion-neutral solvent interactions through theoretical ab
initio electronic structure calculations of simple charged
complexes
and clusters, and experimentally by forming and spectroscopically
characterizing
charged complexes and clusters in the gas phase to yield information on
vibrational frequencies, rotational constants, and more generally on
the
intermolecular potential energy surface. The two approaches are
complementary.
The computational studies guide spectroscopic searches, and assist in
interpreting
the infrared spectra, while in turn, spectroscopic data serve to test
the
efficacy of modern computational approaches for describing charged
molecules,
complexes and clusters. During the past 5 years the Melbourne
group
has characterized, using experimental and computational techniques, a
series
of anion complexes and clusters including Cl--(C2H2)n,
Br--(C2H2)n, Cl–-C6H6,
I--(C2H2)n, F–-CH4,
Cl–-CH4, Cl--NH3, Cl--H2,
Cl--D2, Br--H2, Br--D2
and I--H2.
Accurate predictions
for the rovibrational energy levels of the complexes require going
beyond
the familiar harmonic oscillator/rigid rotor approximation. For
example,
in theoretical studies of the Cl--H2 complex, the
rovibrational energy levels were calculated variationally using a potential
energy surface fitted to ab initio points. The Melbourne researchers collaborate with computational chemists in
Russia,
Switzerland
and the USA.
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Ab initio
potential energy surface of the Cl--H2 complex. |
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Non-covalent
interactions
between polypeptides and proteins play a major role in determining the
chemical and physical behaviour of these biomolecular polymers. Indeed,
a delicate balance between intra-molecular interactions and
(inter-molecular)
solvation has a significant impact on whether or not many biomolecules
exhibit biological, and ultimately physiological, activity. As
such,
learning more about the nature of these non-covalent interactions and
the
influence they exert on molecular conformation is an important and
topical
area of chemical investigation.
The conformation
of
flexible biomolecules can change dramatically depending on the degree
of
solvation. For example, it is known that in solution many amino
acids
exist in their zwitterionic (charge-separated) state due to
interactions
with the surrounding water molecules, yet when isolated in the gas
phase
the same amino acids exist in their non-zwitterionic form.
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(Left) Intramolecular hydrogen bonding within the ethanolamine side
chain of the neurotransmitter dopamine is disrupted by insertion of a
single water molecule. (Right) The onset of a ‘3D’ network of hydrogen
bonding occurs with four water molecules bound to the neurotransmitter
side chain. |
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Theoretical
calculations are used to provide the range of structural possibilities,
whether they be molecular conformers or complexes in which molecules
are attached to the host in different ways. The calculated properties
of each one are then compared to experiment to determine the ones
actually observed. The fine details of energetics, local H-bonded
interactions, and the factors that determine conformation are revealed
by this combined approach.
Researchers at The
University of Adelaide’s Laser
Chemistry Laboratory and
Monash
University’s Centre
for Biospectroscopy
are involved in experimental and computational investigations into the
spectroscopy of biological molecules and their clusters, with a focus
on
structural and energetic aspects of hydrogen-bonding interactions and
how
they affect other properties of the molecules.
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