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Electronic Structure |
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Attempts to solve the Schrodinger equation for atoms and molecules
began in the late 50s and early 60s. It was not until the
emergence and widespread availability of computing systems, however, that
advances in electronic structure methods really accelerated. Since
then there has been a close relationship between electronic structure
methods and computing technology. Today first principle calculations
are possible on nano-scale systems, and calculations that rival or
surpass experiment are possible on small systems. Below we list some
of the principle areas of electronic structure in which the network
has expertise. It should be noted that electronic structure methods
are a fundamental component of several other nodes in the CMS network.
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Molecules,
Polymers and Clusters
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Computational electronic structure methods are now routinely
applied to small molecules and clusters, both in purely
theoretical studies and as a complement to experiment.
Although very high accuracy is possible for small systems
achieving "chemical accuracy" (energies to 1kcal/mol) for
moderate sized systems it is still relatively expensive
(computationally). As a result
a variety of "model chemistries" (eg G1-3, W1-3, CBS etc) have become
very popular. In these procedures a
sequence of calculations are performed and an attempt made
to extrapolate from these to the "exact" result. Of the various
electronic structure methods available, methods based on
coupled-cluster theory are generally accepted to be the most accurate.

Exploring possible candidate molecules for cleaving multiple bonds
Free Radical Chemistry: Free radicals are ubiquitous in
chemistry, biology, and polymer
science. Because they are reactive species, they are often difficult
to study experimentally and therefore theory has a potentially useful
role to play in their characterisation.
Researchers at the
University of Sydney
and the
Australian National University are using
state-of-the-art ab initio quantum chemistry calculations to determine
radical stabilisation energies, with the important aim of seeing how
individual substituents stabilise or destabilise a radical centre.
Details of radical addition reactions and radical abstraction
reactions, both of which are very important in biological chemistry
and polymer chemistry, are also being examined.
Polymer Chemistry:
Free-radical polymerisation is an important industrial process, used to produce
a wide range of polymers. Methods for controlling free-radical polymerisation,
such as the Australian-invented RAFT procedure, are a major new development in
this field as they allow for production of polymers with narrow molecular weight
distributions, well-defined end-groups and special architectures, such as blocks
and stars. However, such procedures are difficult to optimise and have not as
yet been successfully applied to several important monomers. Researchers at the
Australian National University are currently using quantum chemistry to
study the mechanism and kinetics of these processes, with a view to providing
guidelines for optimising them, and extending their application to new systems.
Quantum chemistry is also being used to improve models for copolymerisation
kinetics, and to develop strategies for achieving end-group control in
conventional radical polymerisation.
Oxides and Hydroxides of Alkali and Alkaline Earth Metals:
Researchers at the
University of Sydney,
in collaboration with the
Weizmann Institute of Science in Israel, and the Argonne National
Laboratory and the University of North Texas in the USA, the alkali
metal oxides and hydroxides are being examined as a preliminary to
investigating their interesting acid and base properties. Reliable
experimental data are very sparse for these molecules and so it is
attractive to obtain the information theoretically. It turns out,
however, that the theoretical description of these molecules is not
entirely straightforward either and this is necessitating
incorporation of several new features in the theoretical procedures
that are being used, and the development of new basis sets.
Development of Improved Theoretical Procedures:
The ability to predict reliable thermochemistry represents a very
important application of ab initio molecular orbital theory.
Researchers at the
University of Sydney,
are designing and assessing
methods that are suitable for predicting accurate thermochemistry
for free radicals because these represent particular challenges for
theoretical investigation. Some of the recently developed methods
include G3-RAD, G3X-RAD, G3(MP2)-RAD and G3X(MP2)-RAD. Further work,
in collaboration with quantum chemists in the USA, is aimed at
handling systems that are not well described by a single-reference
wave function.
Small Molecule Activation in Transition Metal Complexes:
Manipulation of fundamental small
molecules such as N2, O2 and CO2 is crucial,
in both a biological and an industrial sense, for our continued wellbeing.
Finding new ways of achieving such activation is important due to the enormous
costs of current industrial processes which involve activating or cleaving the
multiple bonds in these molecules. In light of this, dinuclear metal systems
based on sterically-hindered, three-coordinate transition metal complexes of
the type (RnX)3M where
the RnX
are ancillary ligands and R is a bulky organic substituent, hold great promise
synthetically for the activation and scission of small, multiply-bonded
molecules, L(1) ≡ L(2) and
L(1) ≡ L(2)-L(3),
such as N2, NO, CO and N2O. Researchers at the
ANU
and
University of Tasmania
have employed DFT and hybrid QM/MM methods to design three-coordinate
transition metal complexes that are specific for the activation of N2
and other key small molecules. The calculations show that the level of
activation can be controlled through systematic variation of both the metal and
its substituents. Through judicious tuning of M, M', X and X', it is not only
possible to identify those metal/ligand combinations which achieve optimum
activation of each small molecule of interest, but also selective cleavage of
bonds in non-symmetric molecules such as N2O.
Structure and Dynamics of Small Metal
Clusters: The group at
Newcastle University have developed both theory and code in order to understand
the dynamics of small metal clusters, thereby assisting in their
possible detection.¡@ |
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Biomolecules
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While many biomolecular systems are treated using classical
forcefield based methods, to account for any sort of
electronic rearrangement requires the use of a quantum
method. The size of biological systems coupled with the
importance of the surrounding environment makes electronic
structure calculations in this arena particularly challenging.
Until relatively recently most electronic structure
computations on biomolecular systems were performed using
semiempirical methods, or hybrid QM/MM procedures. Now,
however, it is possible to perform limited numbers of first
principle HF and DFT calculations on systems containing
thousands atoms.
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The Potassium Ion Channel |
Oxidative Damage to Proteins:
An understanding of the oxidation of proteins by free radicals is of
great importance because of its implication in a number of human
disorders such as Alzheimer.s disease, atherosclerosis, and diabetes,
as well as aging. A collaborative venture between researchers at the
University of Sydney,
the
Australian National University, the
Heart Research Institute,
Sydney and the University of Calgary, Canada is
using ab initio molecular orbital calculations to address the
problem. Initial targets have included the cleavage of the peptide
backbone following radical formation, and migration of the radical
site within the peptide.
Enzyme-Catalysed Reactions:
Vitamin B12 is one of nature's essential vitamins. Quantum chemists
at the
University of Sydney,
are using ab initio calculations to model
reactions mediated by coenzyme B12. Although these reactions have
been extensively studied experimentally, there is certainly no
consensus as to how they proceed. The Sydney group has found that
protonation and/or deprotonation at appropriate sites facilitates the
reactions, and that reactions that are facilitated by protonation (or
deprotonation) are facilitated by the partial-proton-transfer that
enzymatic hydrogen bonding can provide. Supporting evidence for these
proposals has come from site-directed mutagenesis experiments. This
and other recent examples provides strong encouragement for the use of
computer calculations in a predictive manner in the study of
enzyme-catalysed reactions.
Interaction of Metal Ions With Biological Systems:
Metal ions are of great importance in biological function. In work at
the
University of Sydney,
a theoretical study has been initiated to
probe the interaction of metal ions with prototypical biological
molecules. The initial studies, in collaboration with a quantum
chemistry group in Madrid, Spain, have focused on the interaction of
calcium dications with simple model systems in order to establish
suitable theoretical procedures that can be applied to larger
molecules.
Computer aided drug design: At the
University of Tasmania
computational chemistry techniques are being used to model
biologically active compounds, and to
design new substrates in separation science. Techniques used include ab
initio and density functional theories for sophisticated calculations
and simpler molecular mechanics models.
Current work is focused on organometallic reaction
mechanisms (involving imidazole based carbenes and 3-coordinate
molybdenum complexes), and the intermolecular interaction of molecules
in medicinal and industrial applications.¡@ |
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Solid state
and Surfaces
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The advent of plastics, semiconductors, metals and superconductors has
revolutionized society, and there is now a worldwide search for other
solids that have novel properties like high temperature
superconductivity or high termoelectric efficiency. Reactions that
occur on the surface of solids may be advantageous, as in the case of
a catalysis or detrimental, as on the heat shield of an atmospheric
re-entry vehicle.
Electronic structure computations on solids and surfaces present
their own challenges, notably the possible periodic nature of the
systems and the possible high degree of electron
delocalization. To date the majority of computations have been
performed using density functional theory, although there is
interest in using wavefunction based methods like Hartree-Fock and
coupled-cluster theories. To study surface reactions the
Carr-Parinello method, which combined elements of electronic
structure theory with molecular dynamics is widely used.
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A simple cubic structure as typified by NaCl
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Surface Integrated Molecular Orbital Molecular Mechanics
(SIMOMM): this new method has recently been developed by network
members from the
Iowa State University
and is used for the description
of surface phenomena. Initial applications have been primarily to
the Si(100) surface, studying its structure, oxidation
and etching, functionalization and other reactions. SiC and diamond
surfaces have also been considered. Efforts are being made to expand
the capabilities of this method to many other types of surfaces. For
metals, embedded cluster methods like SIMOMM are, however, of
limited utility, hence work is under way to develop periodic
boundary condition capabilities for Hartree-Fock, density functional
theory and MCSCF wave functions. When combined with new linear scaling
techniques, these methods will enable the study of surface phenomena
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Excited states
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It is hard to underestimate the importance of electronic structure
methods that are capable of computing and characterising excited
electronic states. All the food we eat is a product of photosynthesis
- a reaction that involves adsorption of a photon by a chlorphyll
molecule to produce an excited electronic state. Computing such
excited states is, however, notoriously difficult. Two approaches are
common. In the first the excited electronic state is computed
directly, but this normally requires the use of multiconfigurational
methods. The alternative approach evaluates the excited state using
a time evolution of the ground state. The latter is commonly used with
density functional theory and coupled cluster methods.
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Development of quantum electronic-vibrational simulation techniques
for the interpretation of biochemical data including electronic
spectroscopy, Stark spectroscopy, EPR spectroscopy and
electrochemistry, including understanding the results of extensive
mutation studies
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Coupled Cluster Methods and Density Functional Theory (DFT):
Coupled Cluster Methods, such as SAC-CI or EOM-CC are currently the
most accurate, but most expensive method for studying excited
electronic states. DFT is a popular alternative approach to excited
states that is much more accurate than simple SCF theory, but
considerable less expensive than coupled-cluster theories.
Work at the
ANU is currently considering
both coupled-cluster and DFT methods for excited states, with
particular interest in ways of improving
the long range behaviour of DFT functionals, as this is important for
describing Rydberg states. Excited state gradients for DFT have been
developed but are not, as yet, widely available.
Multi-Reference Method Development:
Multi-reference methods are ideally suited for dealing with excited
electronic states, especially multireference configuration interaction
(MRCI) and multireference perturbation theory (MRPT), as well as the
simpler single excitation CI. The
introduction of energy derivatives for all of these methods
greatly facilitates the study
of excited state potential energy surfaces, that is, photochemistry,
photophysics and photobiology. At
Iowa State University
the GAMESS
quantum chemistry package has recently been augmented to include
the RESC
method and Douglas-Kroll through third order (gradients through
first order), as
well as the more traditional Breit-Pauli approach, we can now handle
spin-orbit
coupling and other relativistic effects at many levels of theory.
Future work plans to develop and implement derivative (i.e., vibronic)
coupling
capability in order to better handle such phenomena as conical
intersections. A new version of GAMES is also about to be released including
equations of
motion coupled cluster theory including triples, that is,
EOM-CCSD(T).¡@ |
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Intermolecular
Forces and Solvation
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Intermolecular forces determine, for example, the transition from
solid to liquid to gas, or whether two liquids are miscible or
not. Likewise reactions that occur only in a solvent, do so because of
the forces that exist between the solvent and the solute
molecules. Being able to
accurately account for such interactions is vital to being able to
understand these phenomena.
Depending on the system distant intermolecular interactions can
frequently be treated using some type of empirical interaction
potential. Development of such potentials often requires the use of
high quality electronic structure calculations. Thus models for
solvations are often based on using a few explicit water molecules
close to the solute coupled with a more appoximate treatment of more
distant waters. In some cases distant water molecules are treated
implicitly by placing the solute in a fictitious charged cavity.
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Cluster of 21 water molecules
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Simple models for hydrogen bond energies: Researchers at the
University of New England are pioneering techniques for making
quantitative predictions of hydrogen bond energies, demonstrating
the application of their techniques to
the extraction of intermolecular interaction energies from X-ray
diffraction data. Only in the last few years have experimental
methods enabled the application of these quantitative methods of
analysis. Recent work has provided a firm foundation for the extraction
of molecular moments and intermolecular interaction energies from
diffraction data.
Exploring Non-Covalent Solute-Solvent Interactions in the
Gas Phase: Non-covalent interactions between polypeptides and
proteins play a major role in determining the chemical and physical
behavior of biomolecular polymers. Indeed, a delicate balance between
intramolecular interactions and solvation has a significant impact
on whether or not many biomolecules exhibit biological and
ultimately physiological activity. Researchers at the
University of Adelaide
are studying small micro-solvated molecules of biological relevance in an
attempt to determine how non-covalent hydrogen bonding interactions determine
molecular and electronic structure. This work involves a combination of
theoretical calculation and gas phase |
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Metal centres |
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| DFT calculations show
that two-electron reduction of the peroxo-bridged manganese
dimer [Mn2IV(m-O)2(m-O2)(NH3)6]2+
(centre) leads to cleavage of the peroxo bridge and loss of
the trans NH3
ligand (left) whereas two-electron oxidation results in
evolution of dioxygen (right). |
Transition metal complexes exhibit an enormous variety of
structures including classic inorganic coordination compounds, multiply-bonded
polynuclear transition metal clusters, organometallic complexes and the metal
sites in metalloproteins. The calculation of the electronic structure and
properties of these systems however, remains a challenging area of study due to
the open-shell nature of many of these systems. Even with the enormous
developments in computer hardware, electronic structure calculations on
open-shell metal systems using ab initio
molecular-orbital methods are still a formidable task due to the high level of
electron correlation present, and really only feasible on the simplest systems.
In recent years however, density functional theory (DFT) has emerged as an
attractive alternative for electronic structure calculations on metal-based
systems. Because of the computational expediency of DFT methods, even large
systems can be easily handled. Furthermore, the inclusion of electron
correlation implicit within DFT ensures that the calculated properties are
often in better agreement with experiment than even post-Hartree-Fock ab initio methods. More recently, the
development of hybrid QM/MM methods has allowed calculations on very large
systems containing many hundreds of atoms, making it now possible to perform
calculations on biomolecules containing metal ions.
Modelling Oxomanganese Clusters in Metalloproteins:
Researchers at the
ANU
are using
density functional methods combined with the broken-symmetry approach to
analyzing the magnetic interactions between neighbouring metal ions, to
investigate dinuclear and polynuclear oxo-bridged Mn complexes as models for
the oxygen-evolving site of Photosystem II. The broken-symmetry approach allows
the determination of the magnetic exchange coupling constants for these
complexes as well as the dependence of the magnetic interactions on the
bridging architecture and the oxidation state of the metal centers. Mechanisms
for the redox-induced O-O bond formation and evolution of dioxygen in these Mn
clusters are also being examined.
Metal-Metal Interactions:
Metal-metal
interactions are very common in dinuclear and polynuclear metal complexes and
play an important role in determining their magnetic, electronic and catalytic
properties. Researchers at the
ANU
are studying metal-metal bonding in
dinuclear and polynuclear transition metal complexes with the overall aim to
identify and quantify the underlying electronic factors that affect the extent
and type of metal-metal interaction. Density functional methods combined with
the broken-symmetry approach to analyzing the magnetic interactions between
metal centers, has proven to be a reliable and efficient procedure for
calculating the geometries and magnetic properties of dinuclear complexes
spanning the whole range of metal-metal interactions from weak magnetic
coupling through to multiple metal-metal bonding. Using this approach, they have
determined the periodic and redox-induced trends in metal-metal bonding for a
whole series of dndn (n = 1-5) dinuclear complexes as
well as dndn-1 (n = 2-5) mixed-valence systems. These
calculations have established the strong dependence of the metal-metal bonding
on key electronic factors such as the unpaired spin-density on the metal
centers.
Nitrogen Activation via 3-Coordinate Molybdenum Complexes:
Using the ONIOM hybrid approach researchers at the
University of Tasmania
are studying the
activation of nitrogen (N2) using three-coordinate molybdenum
complexes. The aim of this project is to find facile pathways for
the conversion of atmospheric nitrogen to synthetically useful
products.
Heavy metal systems: To describe correctly the electronic
structure of heavy metals is particularly challenging. Researchers
at the University of Melbourne are working on the development of
relativistic models. Of particular interest is the modelling of
radiative processes in X-ray spectroscopy, providing tests for
models incorporating quantum electrodynamics.¡@ |
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Scaleable methods
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Electronic structure methods are generally considered to be scalable
if the time to solution both increases linearly with respect to the size
of the system AND can also be reduced linearly by using multiple
computers at the same time to perform the computation (i.e. via parallel
processing). Early electronic structure methods were far from
scalable, with a computational cost that typically increased as the
fourth power of the number of atoms involved or worse. It has really
only been within the last decade that methods that scale linearly with
system size have emerged.
Developing scalable methods has been strongly driven by technology.
In the first instance developing a
method for which the cost increases linearly with system size requires
careful use of distant dependent cutoffs; this is only possible once
the molecule has dimensions larger than
the relevant cutoff radius. Roughly speaking this requires molecules with a
hundred plus atoms, and developing non-scalable
electronic structure methods to tackle systems of this size is a
challenge in its own right. In the second instance developing
methods where the
cost decreases linearly with number of processors (computers) required
the development of parallel computers. Such hardware really only
emerged in the late 80's and was not widespread until the mid to late
90's. Today, although it is possible for a university research group
to build their own parallel computing environment using off the shelf
technology (so called Beowulf clusters), developing codes
that can utilize this environment efficiently remains a
considerable challenge.
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The Pentium IV Cluster at the APAC National Facility |
The ANU Supercomputer Facility: For several years the
computational chemistry group at the
ANU Supercomputer Facility
have been working with Fujitsu to produce highly efficient parallel
versions of a number of computational chemistry codes. Recent work has
focused on the widely used Gaussian quantum chemistry code and the
Amber molecular dynamics code. The group are working in collaboration
with researchers in the John Curtin School of Medical research to
apply linear scaling and hybrid quantum mechanical/molecular
mechanical methods to study enzyme reaction pathways.
Scalable Electronic Structure Methods for Shared Memory
Systems: Researchers in the
ANU department of computer science are working with Sun Microsystems
and Gaussian Inc to further develop and improve the parallel
performance of the linear
scaling methods within the Gaussian quantum chemistry package. The
focus is on shared memory architectures and use of the OpenMP parallel
programming paradigm. In addition to measuring performance on existing
computer architectures the project also aims to simulation performance on
possible future architectures. Using only 8 processors related
application work is performing computations on systems containing
several thousand atoms.
The GAMESS Code: The group at
Iowa State University
and
its collaborators have undertaken significant work to parallelise
the GAMESS electronic structure code. This is especially true for
correlated wave functions. The implementation is based around the
distributed data interface (DDI) which allows
very large arrays of data, such as the electron repulsion integrals,
to be distributed among all available nodes on a parallel machine.
Highly parallel codes already exist for
closed and unrestricted open shell second order perturbation theory
energies and gradients. These scale to at least 512 processors.
Analogous code for spin-restricted open shell second order
perturbation theory gradients is in progress. Parallel
multi-reference second order perturbation methods have been
implemented and work is underway on a scalable MCSCF and full CI
code. As well as producing efficient parallel implementation
consideration is also being given to reducing the effort required
for highly correlated calculations; this aims to dramatically
increase the sizes of problems that can be addressed.¡@ |
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