[en] The application of the renormalization group (RG) method to the study of critical phenomena is described. The exposition starts with a description of the scaling invariance concept introduced by L.P. Kadanoff and the RG strategy as developed by K.G. Wilson, including RG transformation, recursive formulas and their solution. It is shown how the solution of linearized recursive formulas leads to the non-trivial values of the critical exponents. The spin dedication method and its application to the 2D Ising model is mentioned. The importance of the renormalization group concept in quantum field theory is also highlighted. (author)

[en] Monte-Carlo calculations of the order parameter and the string tension in SU(2) lattice gauge theory are performed. The parametrization of the group elements of SU(2) used in our contribution differs from the standard one. The comparison with papers using standard parametrization is given and the obtained results are discussed. (author)

[en] The theory of electron scattering by a disordered plane monolayer is developed. The muffin-tin model is used. The coherent potential approximation is applied and the relation between coherent scattering and coherent potential is found. (author)

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[en] This work was aimed to the preparation of yttrium-texaphyrin or lutetium-texaphyrin complex and the characterization of these complexes by various methods. The yttrium-texaphyrin complex (or the lutetium-texaphyrin complex) was prepared via transmetallation of the calcium-texaphyrin complex in ethanol at 70 deg C. The complexes prepared were purified on reverse-phase SepPak^TM columns (C18). Mass spectrometry (MS-ESI) and UV-VIS spectrophotometry were used for analytical determination of the yttrium-texaphyrin complex and lutetium-texaphyrin complex in the transmetallation product. The complexes were characterized by UV-VIS spectrophotometry, IRFT spectroscopy, FT-Raman spectroscopy, etc. The complexes were also labelled with radionuclides such as ⁹⁰Y and ¹⁷⁷Lu. These complexes are conjugated with the monoclonal antibody and labelled with ⁹⁰Y or ¹⁷⁷Lu nuclides. After clinical testing, the radionuclide-texaphyrin-monoclonal antibody immunoconjugates can be used for diagnosis and therapy. (author)

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[en] Radioactive labelling of guanidine-bearing tetraphenylporphyrin and Dy-texaphyrin with selected radionuclides (¹⁶⁶Ho and ⁹⁰Y) is described. A basic characterisation of studied porphyrin and texaphyrin, including their behaviour in a wide range of pH values and data on holmium and yttrium complexation with these compounds was probed using UV-VIS absorption spectrometry. The labelling yield of these macrocyclic molecules depends on the pH of the reaction mixture, metal:ligand ratio and time of incubation. Optimal reaction conditions for formation of porphyrin and texaphyrin radioactive complexes were determined by thin layer chromatography with the detection of β^- activity. The ability of porphyrin derivatives to bind anions was examined as well. Our experiments were focused on perrhenate ion (ReO₄^-) because radiopharmaceuticals labelled with isotopes ¹⁸⁶Re and ¹⁸⁸Re play an important role in therapy of numerous tumour diseases. The possibility of applying ReO₄^- anion directly for labelling purposes, without the necessity of its reduction to lower oxidation state, was not proved. (author)

[en] Radioactive labelling of guanidine bearing tetraphenylporphyrin and Dy-texaphyrin with ¹⁶⁶Ho and ⁹⁰Y is described. UV-VIS absorption spectrometry was used to describe porphyrin and texaphyrin, including their behaviour over a wide pH range. This technique also provided preliminary information about the complexation of holmium and yttrium with porphyrin and texaphyrin. The labelling yield of the macrocyclic molecules depends on the pH of the reaction mixture, metal-to-ligand ratio and time of incubation. The optimum reaction conditions for the formation of radioactive complexes of porphyrin and texaphyrin were determined by thin layer chromatography combined with beta activity measurement. The ability of porphyrin derivatives to bind anions was also examined. Our experiments were focused on perrhenate ion (ReO₄^-) because radiopharmaceuticals labeled with ¹⁸⁶Re and ¹⁸⁸Re play an important role in the therapy of many tumorous diseases. The possibility of using the ReO₄^- anion directly for labeling without reduction to a lower oxidation state can simplify considerably the preparation of the radiotherapeutic pharmaceuticals. Neither UV-Vis spectrometry nor TLC gave evidence of any incorporation of the ReO₄^- anion into the porphyrin ring