Molecular vibrational constants of some simple polyatomic molecules : Valence force constants and compliance constants of some halogenated methanes, silanes and germanes

The valence force constants and compliance constants of twenty-six halogenated methanes, silanes and germanes of symmetry C_3v and C_2v are reported. Correlations have been found between the primary force constants and the nature of the central atom and of the halogen, and the number of attached halogen atoms. Relationships have also been confirmed between the force and compliance constants and the bond lengths and strengths.     

Ueber Orsat's Apparat zur schnellen Untersuchung der Rauchgase

Ohne Zusammenfassung     

Krull dimension and integrality of symmetric algebras

For a finitely generated moduleE over the Noetherian ringR we consider formulas for the Krull dimension of the symmetric algebraS(E). A result of Huneke and Rossi is re-proved and an effective formula is derived that reads the dimension ofS(E) from a presentation ofE. They provide a first line of obstructions forS(E) to be an integral domain. For algebras of codimension at most four we give methods, including computer-assisted ones, to ascertain whetherS(E) is a Cohen-Macaulay domain.AMS 1980 Mathematics Subject Classification (1985 Revision). Primary 13H10; Secondary 13-04, 13C05, 13C15Partially supported by CNPq, BrazilPartially supported by the NSF     

The divisor class group of ordinary and symbolic blow-ups

Mathematische Zeitschrift -     

Straightforward sustainability assessment of sugar-derived molecules from first-generation biomass

1. Download : Download high-res image (173KB)
2. Download : Download full-size image

     

A stochastic approach to the hadron spectrum. III

The connection with the quarks of the stochastic model proposed in the two preceding papers is studied; the slopes of the baryon trajectories are calculated with reference to the quarks. Suggestions are made for the interpretation of the model (quadratic or linear addition of the contributions to the mass, dependence of the decay on the quantum numbers of the hadrons involved, etc.) and concerning its link with the quarkonium model, which describes the mesons with charm or beauty. The controversial question of the subquantum level is examined.     

A stochastic approach to the hadron spectrum. II

The definition of mass as a random variable is applied to the study of the decay rates. A decay is assumed possible when the fluctuation of the Gaussian variables involved makes a definite relation satisfied. Computing the probability of this process leads to the determination of the decay amplitude. This calculation, unified for baryons and mesons, is worked out in the lower and medium spectrum (up to2000 MeV for baryons and mesons), and fits to20 MeV the accurate measurements of width and branching ratios.     

Hyperspherical coordinates in quantum mechanical collinear reactive scattering

A new hyperspherical coordinate method for performing atom—diatom quantum mechanical collinear reactive scattering calculations is described. The method is applicable at energies for which breakup channels are open. Comparison with previous results and new results at high energies for H H₂ are given. The usefulness of this approach is discussed.