Microwave Spectroscopy and Structures of Several Substituted Acetylenes and Fluorocarbons

The structures of two substituted acetylene compounds have been characterized from their microwave rotational spectra. In the first study, two structures of 6-methyl-3-heptyne have been determined. This compound can be thought of as an ethyl group separated from an isobutyl group by a C≡C spacer. Both structures have the ethyl and isobutyl groups eclipsed, consistent with the dominant interaction determining the orientation about the acetylene axis being the weak dispersion attraction between the end groups. One structure is with the isobutyl group in a symmetric conformation and the other with the isobutyl group asymmetric. In addition, the microwave spectrum of the butane analogue 3,5-octadiyne has been observed. This compound consists of two ethyl groups separated by two C≡C spacers. The study is still in progress, but it appears that the ethyl end groups are freely rotating. Therefore, it seems that the dispersion attractions between the end groups are too weak at this longer distance of about 7 Å. The structures of several fluorocarbons have also been studied by microwave spectroscopy. The structures of perfluoropentane and perfluorohexane have been shown to be helical, like the polymer polytetrafluoroethylene (Teflon©). The structure of perfluoropropane and two conformers of 1H-heptafluoropropane have been determined to be non-helical. It is apparent that the steric and dipole repulsions between fluorine atoms that have been attributed to the helical structure of longer fluorocarbon chains are not sufficient in a three carbon chain to cause a twist in the structures.

Measuring Scale Efficiency from the Translog Multi-Input, Multi-Output Distance Function

Ray (1998) developed measures of input- and output-oriented scale efficiency that can be directly computed from an estimated Translog frontier production function. This note extends the earlier results from Ray (1998) to the multiple-output multiple input case.

The Directional Distance Function and Measurement of Super-Efficiency: An Application to Airlines Data

Lovell and Rouse (LR) have recently proposed a modification of the standard DEA model that overcomes the infeasibility problem often encountered in computing super-efficiency. In the LR procedure one appropriately scales up the observed input vector (scale down the output vector) of the relevant super-efficient firm thereby usually creating its inefficient surrogate. An alternative procedure proposed in this paper uses the directional distance function introduced by Chambers, Chung, and Färe and the resulting Nerlove-Luenberger (NL) measure of super-efficiency. The fact that the directional distance function combines features of both an input-oriented and an output-oriented model, generally leads to a more complete ranking of the observations than either of the oriented models. An added advantage of this approach is that the NL super-efficiency measure is unique and does not depend on any arbitrary choice of a scaling parameter. A data set on international airlines from Coelli, Perelman, and Griffel-Tatje (2002) is utilized in an illustrative empirical application.