Fluorapatite, a principal component of phosphate rock, has the empirical formula Ca₅(PO₄)₃F. Hydroxyapatite, the mineral found in human bone, has the empirical formula Ca₁₀(PO₄)₆(OH)₂.
Using these formulas as your only data source, respond to the following prompts fully and systematically.
a. Verify that Ca₅(PO₄)₃F is electrically neutral by assigning charges to all constituent ions and showing that the overall charge sums to zero.
b. Write the complete systematic name for Ca₅(PO₄)₃F.
c. Repeat part (a) for Ca₁₀(PO₄)₆(OH)₂, confirming overall charge neutrality.
d. Provide the systematic name for Ca₁₀(PO₄)₆(OH)₂ and explain why roman numerals are not required in either of the names you have written for these two minerals.