In the orthosilicate garnet, the formula unit has three SiO4 ^4- units and is balanced by Ca^2+

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In the orthosilicate garnet, the formula unit has three SiO4...

In the orthosilicate garnet, the formula unit has three $\mathrm{SiO}_{4}{ }^{4-}$ units and is balanced by $\mathrm{Ca}^{2+}$ and $\mathrm{Al}^{3+}$ cations. Determine the formula unit of garnet.

Key Concepts

Formula Unit

A formula unit is the simplest ratio of the constituent ions or atoms in an ionic compound that represents the overall composition. It is particularly useful for describing complex crystals like minerals, where the repeating unit encapsulates the structural and charge balance requirements.

Polyatomic Ions

Polyatomic ions are groups of atoms bonded together that carry a net charge. In compounds containing these ions, such as many minerals, their fixed internal composition must be balanced against other ions to achieve overall electrical neutrality.

Charge Balance

Charge balance is the principle that in a stable ionic compound, the sum of positive charges must equal the sum of negative charges. This ensures electrical neutrality and guides the determination of the proper ratios of ions in a compound.

Stoichiometry

Stoichiometry involves the calculation of the relative quantities of atoms or ions in a compound. It is essential in determining formulas since it ensures that the proportion of each element corresponds to both the compound's physical makeup and its balanced charge.

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