Morse Model Research Articles

Integrated intensity measurements and relative band strengths of CO (Ångstrom) bands

Relative integrated intensities of the bands of the (B 1 Σ +→A 1 π) system of carbon monoxide of astrophysical significance have been determined by the method of heterochromatic photographic photometry. A Morse model is used to calculate the Franck-Condon factors and r-centroids. The variation of the electronic transition moments R e( r) with the internuclear separation “ r” is found to be R e( r)=const (1−1.748 r+0.766 r 2). Accurate values of smoothed relative band strengths are presented.

Dalton Settlement Systems: Reply to Schiffer(2)

Schiffer’s comments on Dalton settlement patterns in the November 1975 issue of the Plains Anthropologist neglects important environmental considerations, references a questionable factor analysis, relies on unsubstantiated statements about human behavior and does not provide adequate test implications for the Schiffer model. A refinement of the Morse model is presented in addition to these criticisms.

Potential energy curves for theB 2 Σ andX 2 Σ states of scandium monoxide

For theB2Σ andX2Σ states of scandium monoxide, the potential energy curves are constructed by the Rydberg-Klein-Rees and the Morse methods. Morse model is shown to be adequate for the (B→X) band system of ScO. The re values are found to be 1.717 A and 1.665 A for theB andX states respectively.

Intensity measurements and relative band strengths of the bands (B to X) system of lanthanum oxide

Relative integrated intensities for the 40 bands of the (B to X) system of lanthanum oxide have been measured by the technique of photographic photometry. A Morse model is employed to compute the Franck-Condon factors and the r-centroids. The variation of the electronic transition moment Re(r) with the internuclear separation r is found to be R/sub /e(r)=const*exp(1.98r) in the range 1.643AA<r<1.995AA. Smoothed relative band strengths are derived for the 27 bands. Effective vibrational temperature of the source is determined.

Interatomic Potentials for HeNe, HeAr, and NeAr

Semiempirical potentials for HeNe, HeAr, and NeAr are determined according to Nesbet's scheme from Hartree–Fock (H–F) repulsions and the experimental Boyle temperature in terms of the (exp-6) and Morse models. For the Morse model, the agreement with potentials determined entirely from experimental data is within about 10%; it is poorer for the (exp-6) model. However, both models afford poor agreement with the theoretical − C6r−6 dispersion attraction. Hybrid model potentials, constructed by equating the H–F repulsion with the repulsive term of the model potential and requiring a first-order contact with the theoretical dispersion, have much too shallow a well. Possible means for obtaining improved hybrids are explored.

Franck-Condon factors and r centroids for the B-X and C-X systems of the MgF molecule

Arrays of Franck-Condon factors (qνprimeν−or+) and r centroids (rνprimeν−or+), which are closely related to relative vibrational transition probabilities, have been computed upon a Morse model for the B - X and C - X systems of the MgF molecule. This molecule is of importance to astrophysicists as it occurs in the spectra of sunspots. The r centroids for a given (νprime, ν−or+) band have been found to decrease smoothly with increase of corresponding wavelength λνprimeν−or+. The value of Δr identical with rνprime + 1,ν−or+ + 1 -rνprimeν−or+ in a sequence has also been found to remain constant. The computed values of the r centroids indicate that the potentials are neither very anharmonic nor very wide.

Franck-Condon factors andrcentroids for band systems of ZrO

Electronic states and transitions of zirconium oxide, noting Franck-Condon factors and r centroids, calculated from Morse model

Transition probability parameters of molecular spectra arising from combustion processes

The dependence of intensity distributions in molecular spectra upon ( a) source conditions and (b) molecular constants (particularly transition probabilities) is discussed briefly. Knowledge of transition probabilities is essential to the interpretation of spectral intensities in terms of source conditions. Arrays of Franck-Condon factors q v′v″, which are closely related to relative vibrational transition probabilities. p v′v″, have been computed upon a Morse model and are presented for a comprehensive range of band systems of significance in combustion processes for the molecules C 2, CN, B 2, BO, BH, BN, OH, O 2, NO, PbO. Where available, values of smoothed relative vibrational transition probabilities p v′v″ and band intensities at infinite temperature I ∞r′r″ are also given.

Reservoir Volumetric Parameters Defined by Capillary Pressure Studies

Published in Petroleum Transactions, AIME, Volume 210, 1957, pages 252–259. Abstract Volumetric reservoir analysis is dependent upon a firm relationship between porosity, connate water, and net pay. Capillary pressure data on core samples interrelate these three factors. It is shown that other reservoir problems may be resolved:whether water production is indigenous or extraneous to the oil producing interval,an oil-water contact is being approached, andwhether the oil-water contact is remotely situated. Introduction Volumetric analysis of carbonate reservoirs challenges the ingenuity of the reservoir engineer due to an absence of data on the minimum oil-bearing and oil-producing pores of a given reservoir rock. Many studies with this as the ultimate objective are available on the physical characteristics and fluid-flow behaviors of the carbonate reservoir. Some of these publications are: Hassler, Brunner and Deahl's study of the role of capillarity in oil production; Jan Law's and A. C. Bulnes statistical treatment of core analysis data; Chalkley's method for estimating specific surface areas and porosity; Walter Rose's report on porosity, reserves, and recovery; Archie's textural classification of carbonate rocks; Stewart and Spurlock's large core analysis; Purcell's mercury injection method in studying capillary pressure phenomena; Stewart, Craig, and Morse's model multiple-phase flow test in investigating the relative permeability effect; and Fatt's illuminating network model of porous media. The present study shows that the static reservoir parameters of porosity, connate water, and net productive thickness may be interrelated by utilizing a statistical arrangement of mercury capillary pressure data in addition to routine core analysis. This report summarizes the techniques that are followed to obtain these relations which are applicable to carbonate and sandstone reservoirs that do not contain clays. Capillary pressure statistical studies may be extended to include clay-bearing rocks by utilizing water capillary pressure data.