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  • 1
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 87 (1987), S. 5882-5891 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The boundaries defining the electronic energy level set topologies in abstract nuclear charge space NZ of molecular systems are analyzed. Several rigorous properties are derived, from which new results on geometry-independent constraints of electronic energy hypersurfaces are obtained. The asymptotic behavior of the boundaries at atomic pairwise–infinite separation is approximated making use of density functional theory. The relationships obtained for such a boundary allow one to evaluate very simply (just with a pocket calculator) upper and lower bounds to the electronic energy which are of interest in the study of chemical reactions and conformations. The procedure is also applied to discuss the feasibility of certain molecular ionization processes, as well as to derive some inequalities concerning atomic ionization potentials.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 115 (2001), S. 10557-10565 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Experiments on anhydrous proteins diffusing in a low-pressure gas reveal transitions that share common features with the unfolding and refolding processes observed in solution. These phenomena force us to re-evaluate the specific role played by solvent on large-scale protein rearrangements. Computer simulations, in combination with tools for molecular shape analysis, provide insights into in vacuo processes. In this work, we deal with one particular aspect of this problem: the conditions and the mechanism for spontaneous unfolding in a globally neutral protein. When coupling the protein to a simulated thermal bath, the flow of energy between rotational modes and internal modes can produce a centrifugal effect leading to unfolding. Using hen lysozyme as a system, we study the reproducibility of the unfolding transition and its dependence on the bath relaxation constant. In addition, we monitor the evolution of large-scale molecular shape features (e.g., chain entanglements) that take place during unfolding. Our results show that a change in bath relaxation constant affects the time scale of the transition and the population of intermediates, without changing the basic unfolding mechanism. We also discuss possible cycles of unfolding–refolding transitions, and their implications for our understanding of the denatured state. © 2001 American Institute of Physics.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 29 (1988), S. 119-127 
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: Some basic properties of the energy level sets for parameter-dependent systems are analyzed. A class of Hamiltonians depending linearly on two parameters is considered as a working example. It is shown that an approximate computation of the boundary of the level set can be useful to derive analytical representations of the eigenvalues of the system. The expressions deduced for the eigenenergies have the correct analytic behavior in the whole range of all physical parameters. In the simplest case, a nonvariational upper bound to the ground state energy is derived that satisfies both virial and Hellmann–Feynman theorems, as well as first-order perturbation theory. Furthermore, some approximations are obtained, within the framework of the scaling variational method, that are numerical upper and lower bounds to the exact eigenvalues. Applications are illustrated with a family of anharmonic oscillators.
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 111 (1999), S. 4774-4779 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Chain collapse and the formation of a near-native tertiary structure are believed to be two key features controlling the progress of a protein folding transition. In this work, we study the interrelation between these two properties along computer-simulated relaxation trajectories of unfolded in vacuo lysozyme. Large-scale molecular shape transitions are monitored within a space defined by two discriminating descriptors of chain compactness and entanglement (or "topological") complexity. For the system studied here, results indicate that successful refolding into native-like conformers requires a balance between polymer collapse and a topologically "correct" organization of chain loops. Although no single factor dominates the relaxation paths, compactization appears to be a necessary condition for near-native refolding. Whenever initial collapse is limited or absent, we find a "derailed" folding path with high configurational frustration. We also show that disulfide-reduced lysozyme unfolds differently, yet relaxes to the pattern of molecular shapes characteristic of the folded states of disulfide-intact lysozyme. © 1999 American Institute of Physics.
    Type of Medium: Electronic Resource
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  • 5
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 85 (1986), S. 6713-6719 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: A new method is developed for studying real singularities of functions from their power series expansions. It is based on an appropriate calculation of the least-squares deviation of the Taylor coefficients from their asymptotic behavior. Under certain conditions the procedure is shown to lead to the widely used ratio method and it is applied to perturbation-theory problems and virial series. The convergence radii of the Rayleigh–Schrödinger perturbation series for the ground-state energy levels of the plane and linear polar rigid rotators in uniform electric fields are calculated. The occurrence of the singularities in the compressibility factor for hard disks and spheres predicted by the Percus–Yevick and scaled-particle theory is verified. The critical parameters characterizing the Kirkwood "phase transition'' near close-packing density and the asymptotic form of the equation of state in the neighborhood of the singularities are verified. Present results elucidate a critical-exponent paradox.
    Type of Medium: Electronic Resource
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  • 6
    Electronic Resource
    Electronic Resource
    s.l. : American Chemical Society
    The @journal of physical chemistry 〈Washington, DC〉 98 (1994), S. 2318-2324 
    Source: ACS Legacy Archives
    Topics: Chemistry and Pharmacology , Physics
    Type of Medium: Electronic Resource
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  • 7
    Electronic Resource
    Electronic Resource
    s.l. : American Chemical Society
    The @journal of physical chemistry 〈Washington, DC〉 97 (1993), S. 13831-13840 
    Source: ACS Legacy Archives
    Topics: Chemistry and Pharmacology , Physics
    Type of Medium: Electronic Resource
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  • 8
    Electronic Resource
    Electronic Resource
    s.l. : American Chemical Society
    The @journal of physical chemistry 〈Washington, DC〉 93 (1989), S. 4746-4751 
    Source: ACS Legacy Archives
    Topics: Chemistry and Pharmacology , Physics
    Type of Medium: Electronic Resource
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  • 9
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 28 (1987), S. 323-329 
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: A simple and accurate method is developed for calculating singular points from Taylor series. It consists of finding the least-squares deviation of the Taylor coefficients from a proposed asymptotic form. Sequences are obtained that converge quickly to the closest singularity to the origin. Some simple mathematical examples and physically interesting eigenvalue problems are discussed to illustrate the procedure. The branch points of the eigenvalues for the solutions of period 2π of the Mathieu equation and those of the Stark shifts for rigid symmetric-top molecules, which were not obtained before, are shown.
    Type of Medium: Electronic Resource
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  • 10
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 84 (1986), S. 1624-1628 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: A simple method for studying real singularities from power series expansions is developed. Singularity positions, critical exponents, and critical amplitudes are calculated for a number of quantum-mechanical eigenvalue problems. Special attention is devoted to the Z−1 perturbation series for two-electron atoms. Present results for the states (1s2) 1S, (2p2) 3P, and (1s2s) 3S reveal inaccuracies in previous calculations. In particular it is suggested that the singularity for the 3S state occurs at Z=1 and that the energy lies in the limit of the continuous spectrum of H−.
    Type of Medium: Electronic Resource
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