is considered, where α > 0, α ≠ 1, p ∈ C[t0; ∞), p(t) > 0 for t ≧ t0, τ ∈ C[t0; ∞), limt→∞τ(t) = ∞, τ(t) < t for t ≧ t0. Every eventually positive solution x(t) satisfying limt→∞x(t) ≧ 0. The structure of solutions x(t) satisfying limt→∞x(t) > 0 is well known. In this paper we study the existence, nonexistence and asymptotic behavior of eventually positive solutions
x(t) satisfying limt→∞x(t) = 0.
Authors:H. Imura, H. Sakamoto, K. Ohashi, T. Shirasaki, and K. Oishi
A novel analytical method, the substoichiometric isotope dilution mass spectrometry (SIDMS) has been proposed. This method consists of the substoichiometric separation of the element in question and the subsequent intensity measurement of a stable isotope of the element with a mass spectrometer. In SIDMS, the correction of the mass discrimination of isotope measurement is not necessary and the use of expensive enriched stable isotopes may be avoided. The validity and the usefulness of SIDMS are demonstrated by the substoichiometric extraction of iron(III) with 4-isopropyltropolone and 3,5-dichlorophenol following microwave-induced plasma mass spectrometry.
Authors:K. Sakamoto, Y. Hamajima, S. Yamaguchi, T. Takashima, and K. Itoh
Samples of an andesite (Asama-yama, Japan) and a basalt (Kilauea, Hawaii) were finely fractioned by density and the U distributions
among the separates were determined by homogenized fission track method. Groundmass was found to be enriched with U; one half
of the andesite U and almost all of the basalt U are accounted for by the groundmass U. Cerium and other REE are correlated
with U. In the andesite separates Na is accompanied by these elements, but Fe and Co are rather anticorrelated. Uranium concentrations
in the bulk samples and some of the separates were then compared with those determined by133Xe extracted by heating at 1600°C. Fissiogenic133Xe seems to become labile in groundmass, especially of the andesite, during reactor irradiations for 5 h or more. Stepwise
heating experiments suggested that133Xe in U-rich groundmass tends to escape at low temperatures and the remaining133Xe is mostly retained in highly refractory sites in phenocryst rather poor in U.
Authors:A. Yamazaki, Y. Inoue, M. Koike, T. Sakamoto, and R. Otsuka
Thomsonite with ideal chemical composition and with an ordered framework structure was synthesised hydrothermally from zeolite
Na−A, which was ground to X-ray amorphous, with 0.05 mol dm−3 CaCl2 solution at 200°C. The dehydration behaviour of the prepared thomsonite was examined by TG-DTA. It was revealed that thomsonite
lost most of zeolitic water below 450°C in three steps at about 180°, 340° and 390°C. The peak profiles of, the two higher-temperature
endotherms were sharp and similar, and the weight loss at each step was approximately equal.
Authors:K. Sakamoto, K. Itoh, T. Takashima, S. Yokoyama, and K. Yamazaki
Uranium concentrations in three types of inclusions of the Allende (C III), a bulk sample of the Plainview (H5), and a bulk
and 5 to 15 density separates of the Huckitta pallasite were determined and discussed by comparing the results from homogenized
fission track and/or239Np analyses with the133Xe results. Stepwise heating experiment revealed that the133Xe release from the Plainview is bimordal and incomplete by a simple heating at 1600 °C, and that the133Xe releases in the Huckitta bulk and metallic samples are multitudinous but can be extracted rather completely at 1600–1700
°C. In the Huckitta, uranium-rich phase (∼100 ppb) was in the lightest density fraction of d=2.9–3.3, but the bulk uranium
was found to be mostly from the heavy metal-rich fraction of d>4.2.
Authors:Y. Miyamoto, A. Kajikawa, J. Zaidi, T. Nakanishi, and K. Sakamoto
INAA, RNAA and IPAA were employed to determine upto 26 trace elements in 32 spices of 18 species and 16 pulses of 8 species originating from different localities. The results are compared with each other and the reported values. The concentration levels, their variations and the correlations of the analysed elements in these samples were also investigated. The variability of concentrations among the samples of different origin are small. The levels and ranges of the concentration are highly variable which are found to be characteristic to each element. High elemental correlations exist in some sets of elements, reflecting characteristics of chemical nature of elements and/or of their physiological functions.
Authors:S. Nagao, Y. Sakamoto, T. Tanaka, and R. Rao
The association properties of Pu with aquatic humic substances in a 0.01M NaClO4 solution at pH 6–8 were studied on the basis of molecular size distribution. Seven humic substances were isolated from river
water and groundwaters using XAD extraction technique. They were used for comparing their effects on the association of Pu.
In the presence of humic acid, the dominant molecular size of Pu was 100–30 kDa. In the presence of fulvic acid, Pu exhibited
three dominant molecular sizes: 30–10 kDa, 30–5 kDa, and less than 5 kDa. The association of Pu-humus complexes might be controlled
by the molecular size distribution of humic substances and characteristics of their respective size fractions.
Authors:K. Sakamoto, N. Aota, Y. Miyamoto, S. Kosanda, Y. Oura, T. Okui, M. Igarashi, and T. Nakanishi
Fifteen GSJ (Geological Survey of Japan) and six KIER (Korean Institute of Energy and Resources; now Korean Institute of Geology, Mining and Materials, KIGAM) igneous rock series and nine GSJ sedimentary rock series reference samples were analysed for 21–29 elements by neutron and/or photon activation analysis (NAA and PAA); 14 MeV-NAA for Si and Al, fission track method for U, radiochemical and instrumental NAA for rare earth elements, with reactor neutrons for the latter two. Instrumental neutron and photon AA for the remaining elements were performed with reactor neutrons and bremsstrahlung of end-point energy of 30 MeV, respectively. The reactor irradiations were performed at core sites and also a thermal column of the Kyoto University Research Reactor. All of the radioassays were performed by -ray spectrometry with HPGe-detectors. The present results from the different types of irradiation are compared and discussed in terms of elemental abundances and rock types.
Authors:K. Masumoto, T. Ohtsuki, Y. Miyamoto, J. Zaidi, A. Kajikawa, H. Haba, and K. Sakamoto
Iodine, thallium and uranium were determined by photon activation analysis. Two electron linear accelerators were used for
the analysis of several kinds of environmental, biological and geochemical reference materials under different irradiation
conditions. Both analytical results for iodine were in good agreement with each other but not with literature values in the
case of environmental samples. The results of thallium and uranium agreed well with their reference values. The detectable
concentration levels of iodine, thallium and uranium were almost 0.3μg/g.