Sorption and direct speciation of neptunium(V) on aluminium oxide and montmorillonite

This study comprised batch experiments, direct speciation studies via EXAFS, and modelling with the 2SPNE SC/CE model to elucidate the mechanisms of Np(V) sorption on montmorillonite and, for reference, on γ-Al2O3. The sorption of pM 239Np(V) and µM 237Np(V) on montmorillonite (STx-1, 4 g/L) and γ-Al2O3 (0.5 g/L) was studied at room temperature in the presence and absence of ambient CO2 covering a pH-range from 2.5 (STx-1) or 5 (γ-Al2O3) to 10.5 with 0.01 or 0.1M NaClO4 as background electrolyte. The Np(V) uptake was determined by γ spectroscopy of the supernatants and calculated as percentage as well as distribution coefficient Kd. Sorption starts from pH ~6 and, under exclusion of CO2, increases continuously, while, in the presence of ambient air, it reaches a maximum at pH ~8.5 (γ-Al2O3: log Kd max ≈ 4 mL/g; STx-1: log Kd max ≈ 2.7 mL/g). Beyond that it decreases again due to the formation of queous neptunium carbonate complexes. Furthermore, neptunium sorption on montmorillonite is influenced by ionic strength at pH <6 through ion exchange processes pointing towards the formation of outer-sphere surface complexes there. Isotherms measured at the sorption maximum showed the precipitation of resumably neptunium carbonate complexes above 3∙10^-5 M under ambient air conditions. Additionally, they indicated progressive saturation of the sorption sites of γ-Al2O3. At selected pH (STx-1: 5.0, 7.0, 8.0, 8.5, 9.0, 9.5; γ-Al2O3: 8.5, 9.5) EXAFS samples were prepared as wet pastes with µM 237Np and measured at room temperature in fluorescence mode at ANKA and ESRF. Several spectra were averaged and analysed with EXAFSPAK and FEFF 8.20 employing models of NaNpO2(CO3) or soddyite, (UO2)2SiO4∙2(H2O). The shorter atomic distances of the neptunyl ion at pH 5 compared to the others hinted at the retention of the hydration shell and, thus, at outer-sphere sorption. On average the bond lengths for Np(V) sorbed on STx-1 at high pH were Oax ≈ 1.84 Å and Oeq ≈ 2.53 Å. At high pH, ternary neptunyl carbonate surface complexes could be identified for montmorillonite (C ≈ 3.00 Å), but not for γ-Al2O3, where an interaction of neptunium with the aluminium surface atoms according to the soddyite model gave better agreement with the experimental data. However, neither structure as suggested by the two models could be excluded for both systems rendering a combination most likely. Modelling of the sorption data provided further evidence for the existence of ternary neptunium carbonate surface complexes in both cases. The results of this study can aid environmental risk assessment for clay-based nuclear waste repositories by providing valuable input data for simulations of radionuclide migration from a final disposal site.

Periodicities in the Hodgkin-Huxley model and versions of this model with stochastic input

A field of computational neuroscience develops mathematical models to describe neuronal systems. The aim is to better understand the nervous system. Historically, the integrate-and-fire model, developed by Lapique in 1907, was the first model describing a neuron. In 1952 Hodgkin and Huxley [8] described the so called Hodgkin-Huxley model in the article “A Quantitative Description of Membrane Current and Its Application to Conduction and Excitation in Nerve”. The Hodgkin-Huxley model is one of the most successful and widely-used biological neuron models. Based on experimental data from the squid giant axon, Hodgkin and Huxley developed their mathematical model as a four-dimensional system of first-order ordinary differential equations. One of these equations characterizes the membrane potential as a process in time, whereas the other three equations depict the opening and closing state of sodium and potassium ion channels. The membrane potential is proportional to the sum of ionic current flowing across the membrane and an externally applied current. For various types of external input the membrane potential behaves differently. This thesis considers the following three types of input: (i) Rinzel and Miller [15] calculated an interval of amplitudes for a constant applied current, where the membrane potential is repetitively spiking; (ii) Aihara, Matsumoto and Ikegaya [1] said that dependent on the amplitude and the frequency of a periodic applied current the membrane potential responds periodically; (iii) Izhikevich [12] stated that brief pulses of positive and negative current with different amplitudes and frequencies can lead to a periodic response of the membrane potential. In chapter 1 the Hodgkin-Huxley model is introduced according to Izhikevich [12]. Besides the definition of the model, several biological and physiological notes are made, and further concepts are described by examples. Moreover, the numerical methods to solve the equations of the Hodgkin-Huxley model are presented which were used for the computer simulations in chapter 2 and chapter 3. In chapter 2 the statements for the three different inputs (i), (ii) and (iii) will be verified, and periodic behavior for the inputs (ii) and (iii) will be investigated. In chapter 3 the inputs are embedded in an Ornstein-Uhlenbeck process to see the influence of noise on the results of chapter 2.