Usually, in age-determination procedures, the experimenter is interested in the mean concentrations of parent and daughter substances. However, the structure of a solution of the Fick's diffusion equation enables one to specify a procedure, allowing, through macroscopic experiments, one to determine the distribution of radiogenic argon (as well as any of other isotopes) within a mineral grain. Argon, influenced in the geological past by a metamorphic event, has a half-sinusoidal distribution, whereas argon preserved in geological time has a rectangular distribution. The ratio of the quantity of argon of the first type to the total argon is called an alpha-factor. It is believed that this coefficient can be of great interest for geochronological studies, being a symptom of virtual Ar losses and the time instant, at which they happened. A laboratory procedure and a mathematical algorithm to determine the alpha-factor are developed. As an example, a determination of the alpha-factor on a vein-phlogopite from the well-studied Sludyanka deposit, Southern Baikal, Siberia, Russia, is described. Rb-Sr isochron age on phlogopite-calcite-apatite paragenetic assemblage yielded 460+/-7 Ma and is constrained by U-Pb zircon ages of 471+/-1 and 447+/-2 Ma, respectively, on an emplacement of early syenites and monzonites and later 'post-phlogopitic' pegmatites [E.B. Salnikova, S.A. Sergeev, A.B. Kotov, S.Z. Yakovleva, R.H. Steiger, L.Z. Reznitskiy, E.P. Vasil'ev. U-Pb zircon dating of granulite metamorphism in the Sludyanskiy complex, Eastern Siberia. Gondwana Res., 1, 195-205 (1998). L.Z. Reznitskii, G.P. Sandimirova, Y.A. Pakhol'chenko, S.V. Kuznetsova. The Rb-Sr age of phlogopite deposits in Sludyanka, southern Baikal region. Dokl. Earth Sci., 367, 711-713 (1999). L.Z. Reznitskii, A.B. Kotov, E.B. Salnikova, E.P. Vasil'ev, S.Z. Yakovleva, V.P. Kovach, A.M. Fedoseenko. The age and time span of the origin of phlogopite and lazurite deposits in the Southwestern Baikal area: U-Pb geochronology. Petrology, 8, 66-76 (2000).]. In this study, the phlogopite gave an apparent K-Ar age of 365.6+/-10.4 Ma which has no geological meaning. The alpha-factor of 0.27 was derived from a laboratory kinetic experiment. The age determined by the rectangularly distributed argon corresponded to alphax0.129 nmm3/g (total radiogenic argon in the sample)=94.17 nmm3/g, and an age of approximately 274 Ma (e.g. a period without any argon losses). Here, at the first sight, we deal with common argon losses not conjugated with any geological event, because after 447 Ma only lower temperature (in a range of 50-300 degrees C) hydrothermal processes were recorded. A paragenetic phlogopite-bearing vein mineral, hyalophane, having a disturbed Rb-Sr isotopic system, however, yielded 40Ar/39Ar subplateau age of 271+/-2 Ma [V.V. Ivanenko, M.I. Karpenko, M.A. Litsarev. Age of the Sludyanka phlogopite deposits (in Russian; data of the 39Ar-40Ar method). In Geological Series 5, pp. 92-98, Izvestiya Akademii Nauk SSSR, Moskva (1990).], marking similar timing of the K-A...
