Step 1: Understanding coupled substitution.
Coupled substitution occurs when two ions simultaneously substitute for two others in a crystal lattice, maintaining overall charge balance. This allows solid solution between different mineral end-members.
Step 2: Examine each pair.
- (A) Albite (NaAlSi$_3$O$_8$) and Anorthite (CaAl$_2$Si$_2$O$_8$): Solid solution exists in the plagioclase feldspar series. The coupled substitution is:
\[
\text{Ca}^{2+} + \text{Al}^{3+} \leftrightarrow \text{Na}^+ + \text{Si}^{4+}
\]
This is a classic example of coupled substitution.
- (B) Albite – Orthoclase: Both are feldspars, but substitution between Na$^+$ and K$^+$ is simple ionic substitution, not coupled substitution.
- (C) Grossular – Andradite: These are garnet end-members (Ca$_3$Al$_2$Si$_3$O$_{12}$ and Ca$_3$Fe$_2$Si$_3$O$_{12}$). Their substitution is Fe$^{3+}$ ↔ Al$^{3+}$, a simple substitution.
- (D) Jadeite – Aegirine: Both pyroxenes (NaAlSi$_2$O$_6$ and NaFeSi$_2$O$_6$). Substitution of Fe$^{3+}$ ↔ Al$^{3+}$ is again a simple substitution, not coupled.
Step 3: Conclusion.
Only Albite–Anorthite exhibits true coupled substitution.
Final Answer:
\[
\boxed{\text{Albite – Anorthite}}
\]
The following table provides the mineral chemistry of a garnet. All oxides are in weight percentage and cations in atoms per formula unit. Total oxygen is taken as 12 based on the ideal garnet formula. Consider Fe as Fetotal and Fe\(^{3+}\) = 0. The Xpyrope of this garnet is _.
The following table provides the mineral chemistry of a garnet. All oxides are in weight percentage and cations in atoms per formula unit. Total oxygen is taken as 12 based on the ideal garnet formula. Consider Fe as Fetotal and Fe\(^{3+}\) = 0. The Xpyrope of this garnet is _.

Choose the correct combination of minerals (listed in Group A) with the corresponding locations of their deposits (listed in Group B).

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The mean of the posterior distribution is (Answer in integer)
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