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  • 11
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 82 (1985), S. 5099-5101 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The problem of calculating dissociation energies of all but the lightest molecules remains a formidable one in quantum chemistry. However, the calculation of equilibrium internuclear distances is much simpler. Therefore, in this paper, we have explored whether the dissociation energies of diatomic molecules can be directly related to the nuclear–nuclear potential energy Vnn, plus molecular invariants. These latter quantities are the total number of electrons N and the "approximate'' invariant, the total kinetic energy of the separated atoms, denoted by T. For chemically similar series, a marked correlation of D with Vnn/T is demonstrated, which for the N2, P2, etc. series can be represented approximately by D/N1/2=[300(Vnn/T)−6] kcal which would mean no binding above a limiting atomic number, lying higher, however, than those that span the Periodic Table. The existence of a minimum value of Vnn/T in groups of chemically stable homonuclear diatomic molecules is then contrasted with the situation in chemically similar series of heteronuclear diatomic molecules. Here, no minimum value of Vnn/T is found, due, it is argued, to the stabilization of these molecules by charge transfer.
    Type of Medium: Electronic Resource
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  • 12
    Electronic Resource
    Electronic Resource
    [S.l.] : International Union of Crystallography (IUCr)
    Acta crystallographica 34 (1978), S. 19-26 
    ISSN: 1600-5724
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Chemistry and Pharmacology , Geosciences , Physics
    Notes: General methods for treating the elastic X-ray scattering from solids containing non-rigid pseudoatoms are developed. The methods are based on a model which involves the assumption of the adiabatic approximation and the representation of the total electron density as a sum of electron densities from dynamically deformable pseudoatoms. A basic result derived for this model is an expression for the X-ray structure factor in terms of generalized Born β parameters, the calculation being carried out to first order in the strength of the dynamic deformations. If the dynamic-deformation contribution is treated in the harmonic approximation, it is shown that considerable simplification of the expression for the structure factor can be achieved, especially at high temperature (i.e. T 〉 θM, where θM is the Debye temperature). Another, fairly drastic, approximation discussed is that in which only the self-deformation contribution is retained. This latter approximation is used to estimate the effect of dynamic deformation for solid NaCI and NaF, utilizing some β's calculated from a shell model. Though the calculated effects are small, they are such as to be measurable in highly accurate experiments. Other cases are discussed where the effects of dynamic deformation may be expected to be somewhat larger.
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  • 13
    Electronic Resource
    Electronic Resource
    [s.l.] : Nature Publishing Group
    Nature 174 (1954), S. 179-179 
    ISSN: 1476-4687
    Source: Nature Archives 1869 - 2009
    Topics: Biology , Chemistry and Pharmacology , Medicine , Natural Sciences in General , Physics
    Notes: [Auszug] We have now considered in detail the effect of exchange on the energy curves for methane (CH4), silane (SiH4) and germane (GeHJ, for which molecules the smoothing approximation referred to above seems physically very reasonable. The Thomas-Fermi electron densities obtained previously have been used ...
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  • 14
    Electronic Resource
    Electronic Resource
    [s.l.] : Nature Publishing Group
    Nature 168 (1951), S. 1039-1039 
    ISSN: 1476-4687
    Source: Nature Archives 1869 - 2009
    Topics: Biology , Chemistry and Pharmacology , Medicine , Natural Sciences in General , Physics
    Notes: [Auszug] (1) One of us (N. H. M.a) has made detailed calculations of the actual electronic density in benzene at points in the molecular plane and in a parallel plane chosen to exhibit the influence of the re-electrons as much as possible. It appears that, except for certain small regions just above and ...
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  • 15
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Journal of Applied Physics 89 (2001), S. 3627-3630 
    ISSN: 1089-7550
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Motivated by experiments showing decreasing tensile modulus of nylons with increasing plasticizer content, a model involving the disruption of nylon hydrogen bonding by addition of plasticizer is proposed. This leads to proposed further experiments and suggests a complementary phenomenological analysis that involves the bulk modulus. The surface energy as a function of plasticizer concentration is then incorporated into the phenomenology. The importance of varying the temperature in the proposed thermodynamic measurements is stressed. © 2001 American Institute of Physics.
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  • 16
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 83 (1985), S. 4562-4564 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: For eleven neutral diatomic systems and one positive ion we have numerically evaluated the three terms in the gradient expansion of the molecular kinetic energy T=T0+T2+T4. Hartree–Fock–Roothaan molecular densities were used throughout. For the molecules studied T2/T0 ∼0.1, T4/T2 ∼0.2. The contributions to these integrals from different regions of space were examined. We have also estimated the values of the two terms in the gradient expansion of the mean momentum P=P0+P2 and find P2/P0 ∼0.5. Lastly we make contact with earlier work of Mucci and March. D/N2 is found to correlate grossly with T2, where D is the dissociation energy and N the total number of electrons in the molecule.
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  • 17
    Electronic Resource
    Electronic Resource
    s.l. : American Chemical Society
    The @journal of physical chemistry 〈Washington, DC〉 86 (1982), S. 2262-2267 
    Source: ACS Legacy Archives
    Topics: Chemistry and Pharmacology , Physics
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  • 18
    Electronic Resource
    Electronic Resource
    s.l. : American Chemical Society
    The @journal of physical chemistry 〈Washington, DC〉 98 (1994), S. 9486-9487 
    Source: ACS Legacy Archives
    Topics: Chemistry and Pharmacology , Physics
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  • 19
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Journal of Applied Physics 84 (1998), S. 209-212 
    ISSN: 1089-7550
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Lattice models to describe the steady-state propagation of (i) a screw dislocation and (ii) a crack as a pileup of screw dislocations appear to be useful. This prompts us to exhibit a solitary wave equation which describes the continuum limit of the lattice model of Celli and Flytzanis for a screw dislocation. Some numerical consequences of this continuum equation are also presented. © 1998 American Institute of Physics.
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  • 20
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 26 (1985), S. 554-555 
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: Using density functional theory in the asymptotic limit of very heavy positive ions, it is demonstrated that the well-known scaling property of the total energy E3(Z, N) of an ion with N electrons and atomic number Z is a special case of the d-dimensional result Ed(Z, N)=Z(4+4d−d2)/d(4−d)fd (N/Z):d≠4.
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