Laser Stark spectroscopy of formaldehyde-d2: The Coriolis coupled ν4 and ν6 fundamentals

Using CO₂ and N₂O lasers, we have measured and assigned nineteen ν₄ and nine ν₆ rotation-vibration resonances of the type ΔM = 0 and M = J. These transitions were combined with the zero-field pure rotational spectra in order to determine the two fundamental vibrational frequencies, the rotational constants of both excited states, the Coriolis coupling constant, and the dipole moments of each of the three states. The ground-state rotational constants and centrifugal distortion constants were taken from a microwave study and the centrifugal distortion constants of the excited states were assumed equal to those of the ground state. The following results were obtained (standard deviations in parentheses):

     

63.

Quasiparticle decay effects in the superconducting density of states: Evidence for d-wave pairing in the cuprates     

Coffey D  Coffey L 《Physical review letters》1993,70(10):1529-1532

     

64.

Erratum: Effect of the operator nature of the superconducting order parameter in the presence of an added quasiparticle     

Coffey D 《Physical review. B, Condensed matter》1993,47(1):593

     

65.

Semiempirical MO calculations on symmetry governed reactions     

Patrick Coffey  Karl Jug 《Theoretical chemistry accounts》1974,34(3):213-224

Two symmetry governed reactions, the electrocyclic transformation of planar cyclopropyl cation to allyl cation and the dimerization of ethylene to cyclobutane, are examined using a modified INDO method. Results for the cyclopropyl-allyl cation reaction agree well with previously publishedab initio results, and are much improved over previously published CNDO results. The symmetry-allowed disrotatory path is predicted to be significantly favored over the forbidden conrotatory transition. For the ethylene-cyclobutane system two surprising results are predicted within the constraints imposed upon the reaction path: first, that the entire reaction should occur within a small range in the separation of the two ethylene molecules as they approach one another, and second, that the symmetry-forbidden [2 _s +2 _s addition should be slightly favored over the symmetry-allowed [2 _s +2 _a addition. Since the Woodward-Hoffmann rules deal exclusively with changes in electronic energy, it is suggested that they should be applied with some caution to reactions in which changes in nuclear repulsion are quite large during the reaction process.     

66.

Inconsistencies of the U(1) Theory of Electrodynamics: Stress Energy Momentum Tensor     

Peter K. Anastasovski  T. E. Bearden  C. Ciubotariu  W. T. Coffey  L. B. Crowell  G. J. Evans  M. W. Evans  R. Flower  S. Jeffers  A. Labounsky  D. Leporini  B. Lehnert  M. Mészáros  J. K. Moscicki  P. R. Molnár  H. Múnera  E. Recami  D. Roscoe  S. Roy 《Foundations of Physics Letters》1999,12(2):187-192

The internal gauge space of electrodynamics considered as a U(1) gauge field theory is a scalar. This leads to the result that in free space, and for plane waves, the Poynting vector and energy vanish. This result is consistent with the fact that U(1) gauge field theory results in a null third Stokes parameter, meaning again that the field energy vanishes in free space. A self consistent definition of the stress energy momentum tensor is obtained with a Yang Mills theory applied with an O(3) symmetry internal gauge space. This theory produces the third Stokes parameter self consistently in terms of the self-dual Evans-Vigier fields B(3).     

67.

SU(2)×SU(2) ELECTROWEAK THEORY IN LEP 1 DATA ON Z PARTICLE PRODUCTION     

L. B. Crowell  P. K. Anastasovski  T. E. Bearden  C. Ciubotariu  W. T. Coffey  G. J. Evans  M. W. Evans  R. Flower  S. Jeffers  A. Labounsky  B. Lehnert  M. Mészáros  P. R. Molnár  J. P. Vigier  S. Roy 《Foundations of Physics Letters》2000,13(2):193-196

Recent data obtained by LEP1 are discussed and their potential implication for the existence of a Z particle. This letter advocates that this fits within the basic tenet of an SU(2)×SU(2) extended theory of the standard model of electroweak interactions. This extended electroweak model is motivated by nonabelian electrodynamics that provides an effective calculus for nonlinear optics.     

68.

The gas-phase decomposition of methylsilane. Part I. Mechanism of decomposition under shock-tube conditions     

B. A. Sawrey  H. E. O'Neal  M. A. Ring  D. Coffey 《国际化学动力学杂志》1984,16(1):7-21

The gas-phase decompositions of methylsilane and methylsilane-d₃ have been investigated in a single-pulse shock tube at 4700 torr total pressure in the temperature range of 1125–1250 K. For CH₃SiD₃ at 1200 K three primary steps occur in the homogeneous decomposition with efficiencies in parentheses: , , and . For CH₃SiH₃ at 1200 K the primary CH₄ elimination efficiency is 0.09 while the total primary H₂ elimination efficiency is 0.91. Minor product formations of C₂H₄, acetylene, dimethylsilane, and SiH₄ are discussed.     

69.

Microwave spectrum of tetracyclo[3.2.0.0^2,7.0^4,6]heptan-3-one and the effect of cyclopropyl-carbonyl group interactions on the dipole moment     

Dewitt Coffey 《Journal of Molecular Spectroscopy》1977,68(1):21-31

The microwave spectrum of tetracyclanone has been analyzed, resulting in a dipole moment of 3.65 ± 0.02 D. This rather large dipole moment is explained as another manifestation of interactions between the Walsh orbitals of cyclopropyl groups and π-orbitals on substituent groups. We have developed an empirical model, based on the ideas of Hoffmann, for the effect of such an interaction on the dipole moment, and show that the model gives good quantitative agreement with the dipole moments of many related compounds. The ground state rotational constants, obtained from an iterative least-squares fit to a rigid rotor, are A = 4361.92 ± 0.07, B = 2469.960 ± 0.003, and C = 2028.872 ± 0.003 MHz. The uncertainties are standard deviations determined solely from the goodness of fit to 10 transition frequencies.     

70.

Derivation of O(3) Electrodynamics from the Irreducible Representations of the Einstein Group     

P. K. Anastasovski  T. E. Bearden  C. Ciubotariu  W. T. Coffey  L. B. Crowell  G. J. Evans  M. W. Evans  R. Flower  A. Labounsky  B. Lehnert  M. Mészáros  P. R. Molnár  S. Roy  J. P. Vigier 《Foundations of Physics Letters》2002,15(2):179-187

By considering the irreducible representations of the Einstein group (the Lie group of general relativity), Sachs [1] has shown that the electromagnetic field tensor can be developed in terms of a metric q , which is a set of four quaternion-valued components of four-vector. Using this method, it is shown that the electromagnetic field vanishes [1] in flat spacetime, and that electromagnetism in general is a non-Abelian field theory. In this paper the non-Abelian component of the field tensor is developed to show the presence of the B ⁽³⁾ field of the O(3) electrodynamics, and the basic structure of O(3) electrodynamics is shown to be a sub-structure of general relativity as developed by Sachs. The extensive empirical evidence for both theories is summarized.     

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		$\text{ν}{}_4$		$\text{ν}{}_6$
$\text{ν}{}_0$		938.0345 (6)		989.2519 (18)		(cm?1)
$\text{A}$		139 579 (150)		143 323 (150)		(MHz)
$\text{B}$		31 873.6 (5)		32 379.5 (7)		(MHz)
$\text{C}$		26 242.9 (6)		25 994.4 (8)		(MHz)
$\text{ξ}{}_{64}{}^{\mathrm{(a)}}$			136 178 (770)			(MHz)
μ		2.319 (10)		2.347 (4)		(D)
μ(ground state)			2.3464 (8)			(D)

Semiempirical MO calculations on symmetry governed reactions

Two symmetry governed reactions, the electrocyclic transformation of planar cyclopropyl cation to allyl cation and the dimerization of ethylene to cyclobutane, are examined using a modified INDO method. Results for the cyclopropyl-allyl cation reaction agree well with previously publishedab initio results, and are much improved over previously published CNDO results. The symmetry-allowed disrotatory path is predicted to be significantly favored over the forbidden conrotatory transition. For the ethylene-cyclobutane system two surprising results are predicted within the constraints imposed upon the reaction path: first, that the entire reaction should occur within a small range in the separation of the two ethylene molecules as they approach one another, and second, that the symmetry-forbidden [2 _s +2 _s addition should be slightly favored over the symmetry-allowed [2 _s +2 _a addition. Since the Woodward-Hoffmann rules deal exclusively with changes in electronic energy, it is suggested that they should be applied with some caution to reactions in which changes in nuclear repulsion are quite large during the reaction process.     

Inconsistencies of the U(1) Theory of Electrodynamics: Stress Energy Momentum Tensor

The internal gauge space of electrodynamics considered as a U(1) gauge field theory is a scalar. This leads to the result that in free space, and for plane waves, the Poynting vector and energy vanish. This result is consistent with the fact that U(1) gauge field theory results in a null third Stokes parameter, meaning again that the field energy vanishes in free space. A self consistent definition of the stress energy momentum tensor is obtained with a Yang Mills theory applied with an O(3) symmetry internal gauge space. This theory produces the third Stokes parameter self consistently in terms of the self-dual Evans-Vigier fields B(3).     

SU(2)×SU(2) ELECTROWEAK THEORY IN LEP 1 DATA ON Z PARTICLE PRODUCTION

Recent data obtained by LEP1 are discussed and their potential implication for the existence of a Z particle. This letter advocates that this fits within the basic tenet of an SU(2)×SU(2) extended theory of the standard model of electroweak interactions. This extended electroweak model is motivated by nonabelian electrodynamics that provides an effective calculus for nonlinear optics.     

The gas-phase decomposition of methylsilane. Part I. Mechanism of decomposition under shock-tube conditions

The gas-phase decompositions of methylsilane and methylsilane-d₃ have been investigated in a single-pulse shock tube at 4700 torr total pressure in the temperature range of 1125–1250 K. For CH₃SiD₃ at 1200 K three primary steps occur in the homogeneous decomposition with efficiencies in parentheses: , , and . For CH₃SiH₃ at 1200 K the primary CH₄ elimination efficiency is 0.09 while the total primary H₂ elimination efficiency is 0.91. Minor product formations of C₂H₄, acetylene, dimethylsilane, and SiH₄ are discussed.     

Microwave spectrum of tetracyclo[3.2.0.02,7.04,6]heptan-3-one and the effect of cyclopropyl-carbonyl group interactions on the dipole moment

The microwave spectrum of tetracyclanone has been analyzed, resulting in a dipole moment of 3.65 ± 0.02 D. This rather large dipole moment is explained as another manifestation of interactions between the Walsh orbitals of cyclopropyl groups and π-orbitals on substituent groups. We have developed an empirical model, based on the ideas of Hoffmann, for the effect of such an interaction on the dipole moment, and show that the model gives good quantitative agreement with the dipole moments of many related compounds. The ground state rotational constants, obtained from an iterative least-squares fit to a rigid rotor, are A = 4361.92 ± 0.07, B = 2469.960 ± 0.003, and C = 2028.872 ± 0.003 MHz. The uncertainties are standard deviations determined solely from the goodness of fit to 10 transition frequencies.     

Derivation of O(3) Electrodynamics from the Irreducible Representations of the Einstein Group

By considering the irreducible representations of the Einstein group (the Lie group of general relativity), Sachs [1] has shown that the electromagnetic field tensor can be developed in terms of a metric q , which is a set of four quaternion-valued components of four-vector. Using this method, it is shown that the electromagnetic field vanishes [1] in flat spacetime, and that electromagnetism in general is a non-Abelian field theory. In this paper the non-Abelian component of the field tensor is developed to show the presence of the B ⁽³⁾ field of the O(3) electrodynamics, and the basic structure of O(3) electrodynamics is shown to be a sub-structure of general relativity as developed by Sachs. The extensive empirical evidence for both theories is summarized.