Modification of Bowen’s Reaction Series of Rock Forming Minerals Using Mathematical Mapping Method and Models with Respect to Thermodynamic Principles

Abstract

During sequence of crystallization, the crystallization of rock forming minerals R from magma , was mapped using mathematical mapping method and Bowens and Goldschmidt combined models were developed under thermodynamic conditions. The problem involving the distribution of chemical elements and elemental substitutions in rock during crystallization of magma M from the beginning of crystallization to the end of crystallization was mathematically resolved using Bowen’s and Goldschmidt combined model. “This research was focused on the modification of Bowen’s reaction series by election and elimination of minerals under thermodynamic change into Bowen’s and Goldschmidt combined model using mathematical mapping method during crystallization of magma”. Finally, findings have shown that, by using mathematical mapping method, two reactions series were propounded to define the sequence of crystallization of rock forming minerals during crystallization of magma. These two reactions series were Polymerization and Isomorphous reactions series. In mathematical context, it was concluded that continuous and discontinuous reactions series in Bowen’s Model were replaced by both Polymerization and Isomorphous reactions series when both Bowen and Goldschmidt concepts were used for concise explanation of rock forming minerals from the beginning to the end of crystallization and with these combined concepts, Bowen’s reaction series was modified. This modification would help the ‘beginners’ especially students of Earth sciences such as Geology, Mineralogy, Petrology and other chemical sciences such as Geochemistry and Petroleum Geology to have clear  understanding of rock forming minerals from the Magma R.