An Approach to Estimate the Refractive Index and the Electronic Polarizability of the Ternary Ag ₂ O‐B ₂ O ₃ ‐TeO ₂ Glasses

Each of the static properties such as refractive index (n₀), cation ( <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:semantics><mml:mrow><mml:mo>∑</mml:mo> <mml:msub><mml:mi>α</mml:mi> <mml:mi>i</mml:mi></mml:msub> </mml:mrow> <mml:annotation>$$ \sum {\alpha}_i $$</mml:annotation></mml:semantics> </mml:math> ), and anion ( <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:semantics> <mml:mrow><mml:msubsup><mml:mi>α</mml:mi> <mml:mi>O</mml:mi> <mml:mrow><mml:mn>2</mml:mn> <mml:mo>-</mml:mo></mml:mrow> </mml:msubsup> </mml:mrow> <mml:annotation>$$ {\alpha}_O^{2-} $$</mml:annotation></mml:semantics> </mml:math> ) oxide polarizabilities for the ternary 30Ag₂O⋅xB₂O₃⋅(70 - x)TeO₂ (30AgBTe) glasses has been predicted theoretically from those of the binary 30Ag₂O-70B₂O₃ and 30Ag₂O-70TeO₂ glasses. This can be done based on two assumptions: that each of these static properties (n₀, <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:semantics><mml:mrow><mml:mo>∑</mml:mo> <mml:msub><mml:mi>α</mml:mi> <mml:mi>i</mml:mi></mml:msub> </mml:mrow> <mml:annotation>$$ \sum {\upalpha}_i $$</mml:annotation></mml:semantics> </mml:math> , and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:semantics> <mml:mrow><mml:msubsup><mml:mi>α</mml:mi> <mml:mi>O</mml:mi> <mml:mrow><mml:mn>2</mml:mn> <mml:mo>-</mml:mo></mml:mrow> </mml:msubsup> </mml:mrow> <mml:annotation>$$ {\upalpha}_{\mathrm{O}}^{2-} $$</mml:annotation></mml:semantics> </mml:math> ) can be considered as an additive property and that ternary 30AgBTe glasses can be treated as a mixture of two binary 30Ag₂O-70B₂O₃ and 30Ag₂O-70TeO₂ glasses. In addition, n₀ values for the ternary 30AgBTe glasses can be predicted in terms of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:semantics> <mml:mrow><mml:msubsup><mml:mi>α</mml:mi> <mml:mi>O</mml:mi> <mml:mrow><mml:mn>2</mml:mn> <mml:mo>-</mml:mo></mml:mrow> </mml:msubsup> </mml:mrow> <mml:annotation>$$ {\upalpha}_{\mathrm{O}}^{2-} $$</mml:annotation></mml:semantics> </mml:math> and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:semantics><mml:mrow><mml:mo>∑</mml:mo> <mml:msub><mml:mi>α</mml:mi> <mml:mi>i</mml:mi></mml:msub> </mml:mrow> <mml:annotation>$$ \sum {\upalpha}_i $$</mml:annotation></mml:semantics> </mml:math> values for the ternary 30AgBTe glasses, and these later properties can be predicted from that of two binaries like as n₀ at first stage. The n₀ values obtained by using two methods are exactly the same for the corresponding compositions in the studied glasses, confirming the validity of the two assumptions and the procedure described in the present work. This conclusion is valid for the ternary glasses with a fixed content of either basic former/or modifier oxides for all compositions such as xPbO⋅(40 - x)Sb₂O₃⋅60B₂O₃ and 30Ag₂O⋅xB₂O₃⋅(70 - x)TeO₂ glasses, respectively.