CD spectrometric methods for the simultaneous determination of ethisterone and its delta5-isomer

Quick and accurate direct and indirect circular dichroism (CD) spectrometric methods were developed for the simultaneous determination of ethisterone (17alpha-ethinyl-17-hydroxy-4-androstene-3-one) and its delta(5)-isomer (delta(5)-ethisterone). The direct method is based on the selective negative Cotton effect of the delta(4)-3-oxo group in ethisterone (negative maximum at 348 nm in dioxan) and measurement of the ellipticity at 296 nm (positive maximum of delta(5)-ethisterone), where the measured ellipticity is the sum of those of the two isomers. In the indirect procedure delta(5)-ethisterone is transformed to ethisterone by base-catalysed isomerization and the ellipticities are measured at 339 nm in ethanol before and after isomerization. Preliminary experiments show the usefulness of CD detector in the HPLC determination of the mixture of the isomers. A major advantage of the direct CD spectrometric and the HPLC/CD methods is that the delta(5)-isomer with extremely low UV activity can also be directly measured with high sensitivity.     

Partitions with certain intersection properties

Partitions of the n ‐element set are considered. A family of m such partitions is called an ( n, m, k )‐pamily, if there are two classes for any pair of partitions whose intersection has at least k elements, and any pair of elements is in the same class for at most two partitions. Let f ( n, k ) denote the maximum of m for which an ( n, m, k )‐pamily exist. A constructive lower bound is given for f ( n, k ), which is compared with the trivial upper bound. Copyright © 2011 Wiley Periodicals, Inc. J Combin Designs 19:345‐354, 2011     

Special Relativity over the Field of Rational Numbers

We investigate the question: what structures of numbers (as physical quantities) are suitable to be used in special relativity? The answer to this question depends strongly on the auxiliary assumptions we add to the basic assumptions of special relativity. We show that there is a natural axiom system of special relativity which can be modeled even over the field of rational numbers.     

Comparative studies of the underlying local order corresponding to different radial distribution functions of disordered materials

We have investigated characteristics of the local symmetry, such as cosine distribution of bond angles and second-order invariants of spherical harmonics for simple disordered systems with systematically varied radial distributions. Two types of variation were used at three different packing fraction values. None of the perturbations affected the basic features, but the extent of local order changed considerably. The most significant alterations were found for the case with the lowest packing fraction. The results presented in this paper may be used as guidelines for assessing the quality of agreement between radial distribution functions from different sources, such as that of simulations and diffraction experiments.