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Ideal Mott‐Schottky plots were obtained for TiO2 single crystal electrodes after a special surface preparation procedure. Precise flatband potentials were determined as a function of pH for three different types of TiO2 boules; significant differences between boules were observed. These differences were reflected in corresponding differences in the electrode potential for the onset of anodic photocurrent. Surface treatments that produced linear Mott‐Schottky plots but with frequency dispersion results in apparent flatband potentials that did not correlate with the potential for the onset of anodic photocurrent. Ideal Mott‐Schottky behavior could only be obtained for the specially prepared crystals if the electrolyte concentration was greater than 0.25M.

Fine structure in the region of the isoscalar giant quadrupole resonance (ISGQR) in 58Ni, 89Y, 90Zr, 120Sn, 166Er, and 208Pb has been observed in high-energy-resolution ( E1/2 35–50 keV) inelastic proton scattering measurements at E0 = 200 MeV at iThemba LABS. Calculations of the corresponding quadrupole excitation strength functions performed within models based on the random-phase approximation (RPA) reveal similar fine structure when the mixing of one-particle one-hole states with two-particle two-hole states is taken into account. A detailed comparison of the experimental data is made with results from the quasiparticle-phonon model (QPM) and the extended time-dependent Hartree-Fock (ETDHF) method. For 208Pb, additional theoretical results from second RPA and the extended theory of finite Fermi systems (ETFFS) are discussed. A continuous wavelet analysis of the experimental and the calculated spectra is used to extract dominant scales characterizing the fine structure. Although the calculations agree with qualitative features of these scales, considerable differences are found between the model and experimental results and amongst different models. Within the framework of the QPM and ETDHF calculations it is possible to decompose the model spaces into subspaces approximately corresponding to different damping mechanisms. It is demonstrated that characteristic scales mainly arise from the collective coupling of the ISGQR to low-energy surface vibrations

Edge enhancement in potential-field data helps geologic interpretation. There are many methods for enhancing edges, most of which are high-pass filters based on the horizontal or vertical derivatives of the field. Normalized standard deviation (NSTD), a new edge-detection filter, is based on ratios of the windowed standard deviation of derivatives of the field. NSTD is demonstrated using aeromagnetic data from Australia and gravity data from South Africa. Compared with other filters, the NSTD filter produces more detailed results.

Fine structure has been shown to be a general phenomenon of nuclear giant resonances of different multipolarities over a wide mass range. In this article we assess various techniques that have been proposed to extract quantitative information from the fine structure in terms of characteristic scales. These include the so-called local scaling dimension, the entropy index method, Fourier analysis, and continuous and discrete wavelet transforms. As an example, results on the isoscalar giant quadrupole resonance in 208 Pb from high-energy-resolution inelastic proton scattering and calculations with the quasiparticle-phonon model are analyzed. Wavelet analysis, both continuous and discrete, of the spectra is shown to be a powerful tool to extract the magnitude and localization of characteristic scales.