Chemical formulas are a shorthand representation of the elements within a compound and their respective quantities. When constructing formulas for ionic compounds, we strive for charge neutrality, which means the total positive charges must equal the total negative charges.
In the case of the uranyl cation \( \mathrm{UO}_2^{2+} \), forming compounds with different anions involves balancing both their charges:
- With fluoride \( \mathrm{F}^- \) having a single negative charge, two fluoride ions are needed to match the 2+ charge of the uranyl ion, yielding \( \mathrm{UO}_2\mathrm{F}_2 \) (uranyl fluoride).
- Sulfate \( \mathrm{SO}_4^{2-} \) matches perfectly with one uranyl cation as both have equal and opposite charges, forming \( \mathrm{UO}_2\mathrm{SO}_4 \) (uranyl sulfate).
- Phosphate \( \mathrm{PO}_{4}^{3-} \) is a bit more complex, requiring two uranyl cations and three phosphate ions, resulting in the formula \( \left(\mathrm{UO}_2\right)_3\left(\mathrm{PO}_4\right)_2 \) (uranyl phosphate).
Mastering how to form and understand chemical formulas is essential for grasping the nature of ionic compounds.