{"knowledge_schema": {"broad_category": "Astronomy \u2192 Stellar Abundances \u2192 Elemental Composition", "refinement": "This problem involves calculating the relative elemental abundances of silicon in two stars based on their metallicity and the solar composition as a reference.", "specific_scope": "The focus is on determining the ratio of silicon atoms in the photospheres of two stars using given elemental abundance ratios and solar photospheric composition.", "goal": "Calculate the ratio of silicon atoms in the photospheres of Star_1 and Star_2 based on their respective elemental abundances."}, "summary": "This problem requires understanding stellar abundances and how to calculate the ratio of silicon atoms in two stars based on their elemental compositions. By using the given abundance ratios and the solar photospheric composition as a reference, we can derive the relative amounts of silicon in Star_1 and Star_2. The goal is to find the ratio of silicon atoms, which is determined to be 12.6."}