Rotations, Precursor to Rotational Spectroscopy, and Group Theory

Rotations are an integral part of the study of rotational spectroscopy, as well as a part of group theory, hence this introduction.

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.

Scaling the Costs of 404 Testing to Fit the Needs of Small Public Companies

In July of 2002, the Sarbanes-Oxley Act was passed by Congress, including section 404 which requires the auditors to test and opine on the company's internal controls. Since that time there has been much debate about whether the intended benefits of increased investor confidence and financial statement transparency trump the unexpectedly high compliance costs, especially for public companies with market-caps less than $75 million. Before these companies begin complying in the upcoming year, interest groups are calling for the requirements to be 'scaled' to better fit the needs of these companies. While auditors already are expected to scale their audit approach to each individual client, more must be done to significantly decrease the costs in order to reverse the trend of small companies foregoing listing on U.S. capital markets. Increased guidance from the PCAOB, SEC, and other related parties could help the small-cap companies and their auditors be aware of best practices. Also, exempting industries that already follow similar guidelines or are significantly injured by the compliance requirements could help. Lastly, the controversial proposal of rotational audits could be put in place if the affected parties cooperate to remove the undue burden on these small-cap companies. Without some form of significant action, the investors could soon lose the ability to buy small-cap companies in U.S. markets.

Molecular Dynamics and the Diatomic Molecule as Harmonic Oscillator and Rigid Rotor

The HCl molecule is simulated (using Maple) in its dynamics, for both vibrational (and implied) rotational motions. A discussion of the center of mass transformations involved is part of the total presentation.