Pentane model

Dupasquier D, Revaii S, Auria R (2002) Biofiltration of methyl tert-butyl ether vapors by cometabolism with pentane. Modelling and experimental approach. Environ Sci Technol 36 247-253... 

Fig. 4.12. Vibrations of ball and spring models representing the planar skeletal vibrations of some normal hydrocarbons. The extremes of the vibrations are illustrated. For one of these extremes, bonds which are stretched are labeled S, and those which are contracted, C. Those angles which become smaller are labeled B for bend, and those which become larger, O for open. A dash (—) means no change. Nonpianar skeletal vibrations are not shown. The butane model has one nonpianar vibration, the torsion of the middle bond, and the pentane model has two, the in- and out-of-phase torsion of the two middle bonds. Model construction 7/16-in. diameter ball bearings, 16 mil helical spring, 9 coils 11/16 in. diameter, 2 in. between atoms, supporting threads 8 ft long.

Figure A3.6.5. Photoisomerization rate constant of (ran.s -stilbene m n-pentane versus inverse of the self-diflfrision coefficient. Points represent experimental data, the dashed curve is a model calculation based on an...

Figure A3.6.13. Density dependence of die photolytic cage effect of iodine in compressed liquid n-pentane (circles), n-hexane (triangles), and n-heptane (squares) [38], The solid curves represent calculations using the diffusion model [37], the dotted and dashed curves are from static caging models using Camahan-Starling packing fractions and calculated radial distribution fiinctions, respectively [38],...

FIGURE 2 13 Tube (top) and space filling bottom) models of (a) pentane (b) 2 methylbutane and (c) 2 2 dimethylpropane The most branched isomer 2 2 dimethylpropane has the most compact most spherical three dimensional shape... 

FIGURE 3 9 Ball and spoke models of pentane and hexane in their all anti (zigzag) conformations... 

Analysis of such a correlation may reveal the significant variables and interactions, and may suggest some model, say of the L-H type, that could be analyzed in more detail by a regression process. The variables Xi could be various parameters of heterogeneous processes as well as concentrations. An application of this method to isomerization of /i-pentane is given by Kittrel and Erjavec (Ind. Eng. Chem. Proc. Des. Dev., 7,321 [1968]). 

Figure 2.8 Attractive dispersion forces in nonpolar molecules are caused by temporary dipoles, as shown in these models of pentane, C5H12-...

The dilated van Laar model is readily generalized to the multicomponent case, as discussed in detail elsewhere (C3, C4). The important technical advantage of the generalization is that it permits good estimates to be made of multicomponent phase behavior using only experimental data obtained for binary systems. For example, Fig. 14 presents a comparison of calculated and observed -factors for the methane-propane-n-pentane system at conditions close to the critical.7... 

The observed selectivities are consistent with a model introduced by Danishefsky [53], which invokes a synclinal approach of the crotylsilane with the crotyl methyl group pointed away from the ring (Fig. 5). In the case of compound 148, such an approach results in a 5jyn-pentane interaction between the crotyl methyl group and the equatorial methyl group, leading to the turnover in selectivity that was observed. 

The product selectivities in propane metathesis can also be explained by using the same model in which [1,3]- and [1,2]-interactions determine the ratio of products. For instance, the butane/pentane ratios are 6.2 and 4.8 for [(= SiO)Ta(= CHfBu)(CH2tBu)2] and [(= SiO)2Ta - H], respectively (Table 5). A similar trend is observed for the isobutane/isopentane ratio, which are 4.1 and 3.0, respectively. The higher selectivity in butanes (the transfer of one carbon via metallacyclobutanes involving [l,3]-interactions) than that of pentanes (the transfer of two carbons via metallacyclobutanes involving [1,2]-interactions) is consistent with this model (Scheme 28). 

The identification and quantification of potentially cytotoxic carbonyl compounds (e.g. aldehydes such as pentanal, hexanal, traw-2-octenal and 4-hydroxy-/mAW-2-nonenal, and ketones such as propan- and hexan-2-ones) also serves as a useful marker of the oxidative deterioration of PUFAs in isolated biological samples and chemical model systems. One method developed utilizes HPLC coupled with spectrophotometric detection and involves precolumn derivatization of peroxidized PUFA-derived aldehydes and alternative carbonyl compounds with 2,4-DNPH followed by separation of the resulting chromophoric 2,4-dinitrophenylhydrazones on a reversed-phase column and spectrophotometric detection at a wavelength of378 nm. This method has a relatively high level of sensitivity, and has been successfully applied to the analysis of such products in rat hepatocytes and rat liver microsomal suspensions stimulated with carbon tetrachloride or ADP-iron complexes (Poli etui., 1985). 

Hydroformylation of 1-butene in the presence of the Rh catalyst gave pentanal (P) and 2-methyl bntanal as the main products. Just trace amounts of c/5-and trans-1-butene were detected as by-prodncts. No butane was detected in experiments, where a stoichiometric ratio of CO and H2 were used. Based on preliminary considerations of prodnct distribntions, a kinetic model was developed. The kinetic parameters obtained from the model were well identified and physically reasonable. The prodnct concentrations are predicted very well by the kinetic model. The kinetic model can be further refined by considering detailed reaction mechanisms and extending it to the domain of lower partial pressures of CO and H2. 

With chiral aldehydes, reagent approach is generally consistent with a Felkin model.163 This preference can be reinforced or opposed by the effect of other stereocenters. For example, the addition of allyl stannane to l,4-dimethyl-3-(4-methoxybenzyloxy)pentanal is strongly in accord with the Felkin model for the anti stereoisomer but is anti-Felkin for the syn isomer. 

Muller et al. focused on polybead molecules in the united atom approximation as a test system these are chains formed by spherical methylene beads connected by rigid bonds of length 1.53 A. The angle between successive bonds of a chain is also fixed at 112°. The torsion angles around the chain backbone are restricted to three rotational isomeric states, the trans (t) and gauche states (g+ and g ). The three-fold torsional potential energy function introduced [142] in a study of butane was used to calculate the RIS correlation matrix. Second order interactions , reflected in the so-called pentane effect, which almost excludes the consecutive combination of g+g- states (and vice-versa) are taken into account. In analogy to the polyethylene molecule, a standard RIS-model [143] was used to account for the pentane effect. 

The 50.31 MHz 13C NMR spectra of the chlorinated alkanes were recorded on a Varian XL-200 NMR spectrometer. The temperature for all measurements was 50 ° C. It was necessary to record 10 scans at each sampling point as the reduction proceeded. A delay of 30 s was employed between each scan. In order to verify the quantitative nature of the NMR data, carbon-13 Tj data were recorded for all materials using the standard 1800 - r -90 ° inversion-recovery sequence. Relaxation data were obtained on (n-Bu)3SnH, (n-Bu)3SnCl, DCP, TCH, pentane, and heptane under the same solvent and temperature conditions used in the reduction experiments. In addition, relaxation measurements were carried out on partially reduced (70%) samples of DCP and TCH in order to obtain T data on 2-chloropentane, 2,4-dichloroheptane, 2,6-dichloroheptane, 4-chloroheptane, and 2-chloroheptane. The results of these measurements are presented in Table II. In the NMR analysis of the chloroalkane reductions, we measured the intensity of carbon nuclei with T values such that a delay time of 30 s represents at least 3 Tj. The only exception to this is heptane where the shortest T[ is 12.3 s (delay = 2.5 ). However, the error generated would be less than 10%, and, in addition, heptane concentration can also be obtained by product difference measurements in the TCH reduction. Measurements of the nuclear Overhauser enhancement (NOE) for carbon nuclei in the model compounds indicate uniform and full enhancements for those nuclei used in the quantitative measurements. Table II also contains the chemical... 

Using toothpicks and marshmallows or gumdrops, make a model of pentane. The angles between the toothpicks must be 109.5°. Show that the following represent the same compound ... 

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