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We dedicate this paper to late Academician Alexander Konovalov in connection with his centennial anniversary. During the last two decades this outstanding scientist made a significant contribution to the science of water systems. Не actively participated in Water Conferences presenting convincing evidence that ultra-high dilutions (UHD) of solutions of various chemical compounds differ in their biological activity and physico-chemical properties from pure water used as a solvent [1]. In this paper, we compared the properties of UHD of hydrated fullerene C60 (HyFnC60) and deionized water used for dilutions. HyFnC60 is a supramolecular object in which a nanoscale fullerene C60 molecule is enclosed in a multilayer shell of water molecules. HyFnC60 UHD was obtained by successive 100-fold dilutions of its initial solution (10-7 M) with water to an estimated HyFnC60 “concentration” of 10-31 M with intensive shaking at each stage. The corresponding “dilutions” of water (controls) were obtained in the same way. It turned out that HyFnC60 UHD has a significantly higher buffer capacity against HCl acidification than the corresponding controls. Differences in buffer capacity were observed between successive dilutions of HyFnC60 during their titration, especially in the high dilution range corresponding to the calculated “concentrations” 10-17 – 10-31 M. By drying droplets containing microspheres, the aqueous bases of which were either UHD of HyFnS60 or water controls, it was found that UHD of HyFnS60 are characterized by mesoscopic heterogeneity. These features of the HyFnC60 UHD may be due to the complexity of the structural properties of water systems, which, presumably, may arise due to the appearance of heterogeneous water regions during successive dilutions with intensive mixing at each stage. UHD of HyFnC60 possess also biological activity. They stabilize a number of enzymes from spontaneous or thermal inactivation. With an increase in the degree of dilution, the stabilizing effect was enhanced. Solutions of HyFnC60 affected free radical processes occurring in human blood accompanied by luminescence. Depending on the state of human health, either an increase or decrease in the intensity of blood luminescence was observed. The dependence of the HyFnC60 effect on the degree of dilution was non-monotonic. In healthy donors, dilutions of HyFnC60 in estimated concentrations of 10-6 M and 10-19 M increased luminescence of blood of healthy donors, and in intermediate concentrations did not affect it. Our results are consistent with a number of phenomena described by A.I. Konovalov and his colleagues. REFERENCES 1. Konovalov A.I., Ryzhkina I.S. Geochem Inter, 2014,52, 1207–1226. 2. Yablonskaya O.I., et al. Front. Phys.,2021, 9, 64. 3. Voeikov V.L., Yablonskaya O.I. Electromagnetic biology and medicine,2015, 34, 160-166.