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  • 1
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 99 (1993), S. 7305-7313 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Microwave measurements were made on the rotational spectrum of 2-sulpholene using a modified Flygare–Balle pulsed beam Fourier transform spectrometer. Analysis and calculations provided information on the large amplitude ring puckering vibration of this system. Twelve and six rotational transitions were measured for the v=0 and v=1 states of the ring puckering vibration, respectively. The transitions for each vibrational state were fitted to a Watson's A reduced Hamiltonian including terms for quartic distortion yielding for v=0 the values B=2125.96(6), C=1983.28(8), ΔJK=0.664(4), ΔK=−0.34(4) MHz, and for v=1 the values A=3995(26), B=2128.3(1), C=1984.6(1), ΔJK=−0.8(1), ΔK=−32(6) MHz. Subsequently, ab initio calculations were performed at the self-consistent-field (SCF)/3-21G*, MP2/6-31G*, and MP4/6-31G* levels of theory to determine the barrier to inversion. The MP4/6-31G* barrier was ΔE=116 cm−1, and can be considered to be the most accurate barrier value calculated in this study. An ab initio potential energy curve was calculated at the SCF/3-21G* level in terms of a single parameter (ω) describing the large amplitude motion of the ring puckering. Vibration-coordinate dependence of the effective reduced mass associated with this large amplitude motion and the resultant kinetic energy expression was determined. The solutions of a one-dimensional Schrödinger equation solved within this double well potential yield a separation between the v=0 and v=1 large amplitude motion vibrational states of 8 cm−1 when the effective reduced mass was assumed constant, and a separation of 9 cm−1 when the effective reduced mass was expressed as a function of the ω coordinate. The v=0 and v=1 eigenfunctions for the SCF ring puckering potential were found to give vibrationally averaged rotational constants in good agreement with those obtained from the microwave spectrum.
    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 103 (1995), S. 656-662 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The out-of-plane vibrations of the amino group in 2-aminopyrimidine have large amplitudes, and cannot be properly described within the harmonic approximation. The normal mode analysis carried out at this level of approximation at the restricted Hartree–Fock level and at the second-order Møller–Plesset perturbation theory level failed to match the experimental transition frequency of ν≈200 cm−1 of the inversion vibration in this compound. In an effort to better understand this vibration motion, we went beyond the harmonic approximation. The inversion vibration was treated as being uncoupled from all other nuclear degrees of freedom. An internal coordinate (ω) was chosen whose displacement mimicked the out-of-plane distortion of the amino group during the inversion vibration. Electronic energy was calculated at the second-order Møller–Plesset perturbation theory level at selected values of ω to form a double-well curve describing a model potential within which the nuclei move during the vibration. This potential was incorporated into a one-dimensional Hamiltonian, and vibrational energy expectation values were variationally determined by utilizing the harmonic wavefunctions as the basis set. Two sets of calculations were performed: one in which the mirror plane of symmetry was preserved throughout the vibrational deformation limiting the internal coordinates to 17, and another in which the symmetry was unconstrained permitting description by 3N−6=30 internal coordinates. These calculations resulted in prediction of the v=0→v=1 transition energy of ν=130.1 cm−1 and ν=206.7 cm−1, respectively, reasonably matching the experimental value of ≈200 cm−1. © 1995 American Institute of Physics.
    Type of Medium: Electronic Resource
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  • 3
    ISSN: 1520-6882
    Source: ACS Legacy Archives
    Topics: Chemistry and Pharmacology
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    s.l. : American Chemical Society
    Analytical chemistry 39 (1967), S. 690-690 
    ISSN: 1520-6882
    Source: ACS Legacy Archives
    Topics: Chemistry and Pharmacology
    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 108 (1998), S. 10116-10128 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The out-of-plane vibrations of the amino group in primary amines involve its inversion and rotation relative to the rest of the molecule. These two vibrations in 2-aminopyrimidine (see Fig. 1) were investigated with the combined use of matrix-isolation IR spectroscopy and ab initio quantum mechanical methodology. The ab initio methodology was also applied to another primary amine, formamide, for which a gas-phase IR spectra have been previously assigned. Ab initio potential energy surfaces were calculated in internal coordinates, ω and τ, whose displacements mimicked the inversion and internal rotation normal-mode distortions of the amino group, respectively. Vibrations along these two coordinates were considered uncoupled from all other nuclear motions. Total energy was calculated at the second-order Møller–Plesset perturbation theory level at selected values of ω and τ to allow a least-squares fitting of an analytical function depicting the potential energy curves and surface. A numerical procedure for determining the values of the kinetic energy operator in internal coordinates was also implemented to which an analytical function was fit. Vibrational energy expectation values were variationally determined by utilizing products of Gaussian and sinusoidal functions as the basis set. The resultant calculated fundamental transition energies for the coupled inversion and internal rotation vibrations of 2-aminopyrimidine are vinv=140.6 cm−1 and vrot=440.3 cm−1, respectively. These theoretical values reasonably match the experimental quantities of v(approximate)200 cm−1 and v(approximate)500 cm−1, and allow firm assignment of these two experimental infrared spectral bands to the inversion and internal rotation vibrations of the amino group in 2-aminopyrimidine, respectively. For formamide (see Fig. 2), the calculated transition energies for the inversion and internal rotation vibrations, vinv=249 cm−1 and νrot=602, match the experimental frequencies of (approximate)289 cm−1 and (approximate)602 cm−1, and confirm the accuracy of the theoretical method. © 1998 American Institute of Physics.
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  • 6
    Electronic Resource
    Electronic Resource
    Springer
    Cellular and molecular life sciences 44 (1988), S. 310-315 
    ISSN: 1420-9071
    Keywords: Firewalking ; occult ; paranormal events ; pain perception ; thermodynamics ; magic ; mysticism
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Medicine
    Notes: Summary Firewalking is known throughout recorded history and around the world. Ordinarily it is associated with religious beliefs or mystical states of mind in which the gods or unusual mental powers provide extraordinary protection for true believers or those with proper training. However, firewalking commonly involves hot materials of low heat capacity and poor thermal conductivity and sometimes the use of insulation. The excited or trance-like states of firewalkers contribute to the firewalkers' subjective experience but are not required for a successful walk. We conclude that elementary knowledge of physics and psychology is sufficient to explain the known observations of firewalking.
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