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131.
Berry and Klein [J. Mod. Opt.
43, 2139-2164 (1997)] showed that the Talbot effects in classical optics are naturally expressed by Gauss sums in number theory. Their result was obtained by a computation of Helmholtz equation. In this article, we calculate the effects using Fresnel integral and show that the result is also represented by Gauss sums. However function forms of these two computational results are apparently different. We show that the reciprocity law of Gauss sums connects these results and both completely agree with. The Helmholtz equation can be regarded as an equation based upon wavy nature in optics whereas the Fresnel integral is defined by a sum over the paths based upon a particle picture in optics. Thus the agreement of these two computational results could be interpreted in terms of the concept of the wave-particle complementarity, though the concept is for quantum mechanical phenomenon. This interpretation leads us to a relation between the reciprocity of Gauss sums in number theory and the wave-particle complementarity in wave physics. We discuss it in detail. 相似文献
132.
Ryota Matsuoka Ryojun Toyoda Ryota Sakamoto Mizuho Tsuchiya Ken Hoshiko Tatsuhiro Nagayama Yoshiyuki Nonoguchi Kunihisa Sugimoto Eiji Nishibori Tsuyoshi Kawai Hiroshi Nishihara 《Chemical science》2015,6(5):2853-2858
One-dimensional coordination polymers (1D-CPs) tend either to dissociate into constitutive ligands and metals readily in solution, or to aggregate randomly and amorphously, which prevents them from widespread application. In the present research, 1D-CPs comprising bridging dipyrrin ligands and divalent metal ions (Zn2+, Ni2+, and Cu2+) are synthesized. A liquid/liquid interfacial reaction gives rise to single crystals suitable for X-ray diffraction analysis: A dichloromethane solution of the ligand is layered with aqueous metal(ii) acetate, such that the coordination reaction proceeds at the liquid/liquid interface. Isolated single fibers of the zinc coordination polymer may be exfoliated from the single crystal or bulk solid upon ultrasonication. Atomic force microscopy (AFM) detects the isolated fibers with lengths of more than several μm. The exfoliated 1D-CP wires feature good processability, realizing a conjugate with single-wall carbon nanotubes (SWCNTs), and a thin film on a transparent SnO2 electrode. The processed materials show electric conversion ability: For example, the modified SnO2 electrode serves as a photoanode for a photoelectric conversion system. The designability and tunability of the present 1D-CPs is demonstrated by a ligand modification, affording a luminescent property and an extension of the photoelectric conversion response to longer wavelengths. 相似文献
133.
Mizuho Nisizawa 《高分子科学杂志,A辑:纯化学与应用化学》2013,50(5):919-924
When protein was irradiated by γ-rays from a 60Co source, a post-irradiation effect of protein reaction was caused. An empirical equation for the optical rotation was obtained, and the phenomena were explained on the basis of the molecular mechanism. The general equation for the optical rotation is given by [α] f= a ? b log t, where [α] f is the final specific rotation of the solution, t is time after γ irradiation, and a and b are adjustable constants. 相似文献
134.
Mizuho Nisizawa 《高分子科学杂志,A辑:纯化学与应用化学》2013,50(4):707-714
When protein in various liquids containing aromatic hydrocarbons, such as benzene, naphthalene, and phenanthrene, is irradiated by γ-rays from a 60Co source, the breaking of secondary bonding in the protein molecule varies with the irradiation liquids containing aromatic hydrocarbons. Protein irradiated by γ-rays from a 60Co source in air showed the effect of pH on the breaking of secondary bonding in the protein molecule. In both cases an empirical equation for the viscosity change was obtained, and the phenomena were explained on the basis of the molecular mechanism. 相似文献
135.
136.
137.
138.
Yoshinori Saito Mizuho Taniguchi Teppei Komiyama Ayumi Ohsaki Yasuko Okamoto Xun Gong Chiaki Kuroda Motoo Tori 《Tetrahedron》2013
Four new compounds, rearranged noreremophilan-8,6-olide, rearranged dinoreremophilanone, epoxy γ-lactone, and 2α-hydroxyermophil-11-en-9-one, along with eremophilenolides related to ligularol and other known terpenoids, were isolated from Ligularia virgaurea (ligularol type) collected from the northern Sichuan Province of China. Three of the new compounds had degraded and unique structures. The absolute configuration of 2α-hydroxyermophil-11-en-9-one was determined on the basis of density functional theory calculation. The back octant rule cannot be applied to this compound because of the contribution of the hydroxy group to the front octant. 相似文献
139.
Susumu Chikazawa Toshikazu Satō Yoshihito Miyako Y.G. Yuochunas 《Physics letters. A》1979,72(6):470-472
Anisotropy of the susceptibility, which depends on vanadium concentration, was observed for (Ti1?xVx)2O3(x=0.005, 0.015, 0.02) single crystals. The anisotropy is hard to interpret by localized magnetic states of vanadium ions. 相似文献
140.