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Chapter
Symmetry and Thermodynamics from Structured Molecules to Liquid Drops
By idealizing both limits, one can construct a correlation diagram for the quantum states of a system of N identical particles whose extremes are a molecule-like polyhedron with separable vibrations and rigid-...
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Chapter
A General Phenomenology for Small Clusters, However Floppy
The central topic of this Advanced Study Institute, “The Quantum Dynamics of Molecules”, is a new incarnation of a subject very old in molecular physics, the description of quantum states of molecules that do ...
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Chapter
Quantum Mechanical Angular Distributions and Group Representations on Banach Spaces
In large classes of scattering experiments in atomic, molecular, and nuclear physics the angular distribution of a product of the reaction can be described by simple trigonometric formulae. For example, the an...
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Chapter and Conference Paper
Are Atoms and Small Molecules Almost the Same?
A basis is laid for interpreting the electronic structure of atoms, the atomic structure of molecules and clusters, and perhaps eventually the nucleonic structure of nuclei on something of a common basis. The ...
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Chapter and Conference Paper
Collective and Independent-Particle Motion in Simple Atoms and Molecules: a Unification?
The evidence is reviewed that implies electrons in doubly-excited states of helium behave like the atoms of a linear triatomic molecule. The relation between molecule-like collective motion and independent- pa...
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Chapter and Conference Paper
Electron Correlation and the Mechanism of Atomic Autoionization
This review deals with our present understanding of the nature of the quantum states of two-electron atoms. The exposition, a description of new insights into the dynamics of electron correlation and origins o...
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Chapter
Stability Analysis and Optimal Control of a Photochemical Heat Engine
We examine a class of heat engines in which selectively absorbed radiant energy drives an exothermic reaction. The chemical reactor, a cylinder fitted with a piston, Incorporates the dissipative losses of fric...
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Chapter and Conference Paper
Phase Changes: The Interplay of Dynamics and Equilibrium in Finite Systems
Finite systems may exhibit solid-like and liquid-like “phases”, whose conditions for mutual equilibrium do not correspond to those of any traditional bulk phase transition, whether first-order, second-order or...
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Chapter
Steepest-Descent Quenches and the Melting of Microclusters
Extensive molecular dynamics simulations have been performed on clusters of argon atoms to investigate the microscopic mechanism for the melting transition. The steepest-descent quench technique has been emplo...
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Chapter
Melting and Freezing of Microclusters
One of the most intriguing unsolved problems in the physical sciences is the elucidation at the atomic level of freezing and melting. Despite the great advances in the description of the critical region, the “...
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Chapter
Annealing of Fine Powders: Initial Shapes and Grain Boundary Motion
This paper describes the evolution of shapes of powder particles during the first stage of sintering, assuming initial spherical shapes. Although this model has been proposed in 1949, it is solved exactly for ...
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Chapter
Molecules: Rigid/Floppy or Solid/Liquid?
Nearly-rigid molecules and clusters are identified with solid-like systems and very nonrigid molecules and clusters, with liquid-like counterparts. Evidence from analytic theory and simulations is building to ...
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Chapter
Time Scale Considerations in the Characterization of Melting and Freezing in Microclusters
In spite of their size, some microclusters exhibit distinct solid and liquid forms, according to diffraction and simulation studies. Both isothermal and isoergic simulations show that several free Ar ...
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Chapter
Small Molecules and Ions: A Thing or Two We Still don’t Understand
This essay is intended as a thorn to start off the discussions of the Workshop on the Structure of Small Molecules and Ions in memory of Professor Itzhak Plesser, by reviewing some of the aspects of small mole...
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Chapter and Conference Paper
How We and Molecules Explore Molecular Landscapes
The multidimensional potential surfaces of clusters and polyatomic molecules can now be mapped by efficient techniques for finding minima and saddle points and, from them, “reaction paths”. How the geometry an...
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Chapter
Phase Changes for Clusters and for Bulk Matter
Two kinds of phase changes are analyzed and compared, in the context of clusters and in terms of their implications for bulk matter. The homogeneous melting and freezing transition is reviewed briefly with reg...
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Chapter
Pseudomolecular Electron Correlation in Atoms
The D-dimensional scaling properties of the three-body Coulomb problem in atomic and molecular physics have been discussed in part 1 of this volume. Here we examine some new features of the adiabatic molecular...
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Chapter
Exploring Potential Surface Landscapes and How they Govern Dynamics
The subject of multidimensional potential surfaces and the dynamics on those surfaces was just reviewed by this writer 1, and the closely related topic of the analytic representation of potential surfaces, largel...
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Chapter
Phase Transitions in Clusters: A Bridge to Condensed Matter
Clusters of atoms or molecules, consisting of as few as three and as many as many thousands of particles, exhibit some properties of individual molecules, some properties of bulk matter and some properties cha...
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Chapter
Probing The Collective and Independent-Particle Character of Atomic Electrons
Niels Bohr and Arnold Sommerfeld developed their model of the hydrogen atom and other one-electron atoms based on the concepts of discrete, stationary states and quantized energies and angular momenta of these...