Locality and bounding-box quality of two-dimensional space-filling curves

Space-filling curves can be used to organise points in the plane into bounding-box hierarchies (such as R-trees). We develop measures of the bounding-box quality of space-filling curves that express how effective different space-filling curves are for this purpose. We give general lower bounds on the bounding-box quality measures and on locality according to Gotsman and Lindenbaum for a large class of space-filling curves. We describe a generic algorithm to approximate these and similar quality measures for any given curve. Using our algorithm we find good approximations of the locality and the bounding-box quality of several known and new space-filling curves. Surprisingly, some curves with relatively bad locality by Gotsman and Lindenbaum's measure, have good bounding-box quality, while the curve with the best-known locality has relatively bad bounding-box quality.     

Time-resolved spatially offset Raman spectroscopy for depth analysis of diffusely scattering layers

The objective of this study is to use time-resolved (TR) Raman spectroscopy, spatially offset Raman spectroscopy (SORS), and a combination of these approaches to obtain high quality Raman spectra from materials hidden underneath an opaque layer. Both TR Raman and SORS are advanced techniques that allow for an increased relative selectivity of photons from deeper layers within a sample. Time-resolved detection reduces fluorescence background, and the selectivity for the second layer is improved. By combining this with spatially offset excitation we additionally increased selectivity for deeper layers. Test samples were opaque white polymer blocks of several mm thicknesses. Excitation was carried out with a frequency-doubled Ti:sapphire laser at 460 nm, 3 ps pulse width and 76 MHz repetition rate. Detection was either with a continuous-wave CCD camera or in time-resolved mode using an intensified CCD camera with a 250 ps gate width. The Raman photons were collected in backscatter mode, with or without lateral offset. By measuring the delay of the Raman signal from the second layer (polyethylene terephthalate/PET/Arnite), the net photon migration speeds through Teflon, polythene, Delrin and Nylon were determined. Raman spectra could be obtained from a second layer of PET through Teflon layers up to 7 mm of thickness. The ability to obtain chemical information through layers of diffusely scattering materials has powerful potential for biomedical applications.     

Fluidics of a nanogap

We have determined the filling properties of nanogaps with chemically heterogeneous walls. The quantitative criteria we present allow the prediction of the liquid loading of the nanostructure. They can easily be applied in combination with contact-angle measurements on planar substrates of the nanogap materials. We present an application of the theory to a recently developed nanogap biosensor. Chemical force microscopy (CFM) is employed to characterize the initial silanol properties of the gap. The functionality of the complex surface chemistry of the biosensor is demonstrated by the observation of functionalized nanoparticles in the gap with its resulting characteristic current-voltage relationship.     

Sensitized phosphorescence as detection method for the enantioseparation of bupropion by capillary electrophoresis

A new CE detection method was developed for the chiral drug bupropion (a second-generation antidepressant), based on phosphorescence both in the direct and in the sensitized mode using pulsed laser excitation at 266 nm. Electrokinetic chromatography using 5 mM sulfated-α-CD as chiral selector in 25 mM phosphate buffer at pH 3 allowed the separation of bupropion enantiomers with a high chiral resolution (Rs>3). In the sensitized phosphorescence detection mode, excitation energy is transferred from the analyte to an acceptor (1-bromo-4-napthhalenesulfonic acid or biacetyl) followed by time-resolved phosphorescence detection under deoxygenated buffer conditions. Using 2 × 10(-4) M biacetyl as the acceptor an LOD of 2 × 10(-7) M was obtained for each enantiomer, about 40 times better than in the direct mode. Under these separation conditions, no significantly different phosphorescence lifetimes (measured on-line) were obtained for the two bupropion enantiomers. The suitability of the method was demonstrated with the quantification of bupropion in a pharmaceutical formulation and its determination in a spiked urine sample.     

Energy transfer in chiral co-assemblies of triple hydrogen-bonded oligo(p-phenylene vinylene)s and porphyrin

Pi-pi stacking of hydrogen-bonded porphyrin and oligo(p-phenylene vinylene)s (OPVs) yields helical co-assemblies which exhibit energy transfer from OPV to porphyrin.     

Auflichtphotometrie von Mikroautoradiogrammen für quantitative Einbaustudien an Einzelzellen

By means of micro-autoradiography incorporation studies of labelled compounds can be performed at the cellular level. The procedure described here aims at determining the amount of substances in terms of moles, incorporated into single cells. ¹⁴C is used as a label, since in contrast to tritium, the influence of β-self-absorption of this isotope is negligible. Every autoradiograph is exposed together with a standard consisting of ¹⁴C-methacrylate. Hereby the relation of grain density to radioactivity in an autoradiograph is given. Grain counts are performed in an incident light microphotometer which makes use of the linear relationship between silver grain number and amount of light reflected by the grains. Therefore, measurements are performed in an integrating manner. The usual transmitted light is available for selecting the labelled cells for measurement.     

A survey and new results on computer enumeration of polyhex and fusene hydrocarbons

After a short historic review, we briefly describe a new algorithm for constructive enumeration of polyhex and fusene hydrocarbons. In this process our algorithm also enumerates isomers and symmetry groups of molecules (which implies enumeration of enantiomers). Contrary to previous methods often based on the boundary code or its variants (which records orientation of edges along the boundary) or on the DAST code, which uses a rigid dualist graph (whose vertices are associated with faces and edges with adjacency between them), the proposed algorithm proceeds in two phases. First inner dual graphs are enumerated; then molecules obtained from each of them by specifying angles between adjacent edges are obtained. Favorable computational results are reported. The new algorithm is so fast that output of the structures is by far the most time-consuming part of the process. It thus contributes to enumeration in chemistry, a topic studied for over a century, and is useful in library making, QSAR/QSPR, and synthesis studies.