7.3 FORMULA OF AN IONIC COMPOUND

To determine the formula of an ionic compound from the ionic charges and oxidation numbers of the constituent ions, you must determine the simplest whole-number ratio of cations (positively charged ions) to anions (negatively charged ions) that results in a neutral compound. Ionic compounds are electrically neutral, meaning that the total positive charge of the cations is equal to the total negative charge of the anions. Let's go through step by step to derive the formula:

Example: Calcium chloride

Step 1: Identify the ions in the compound and their charges. Consider, for example, the combination of calcium ions (Ca2+) and chloride ions (Cl-).
Step 2: Determine the ratio of charges needed to balance each other. In this case, calcium has a charge of +2 and chloride has a charge of -1. You need two chloride ions for every calcium ion to balance the charges.
Step 3: Write a formula with assignments that represents the relationship defined in Step 2. The formula for calcium chloride is CaCl2.

Example: Magnesium oxide

Step 1: Identify the ions and their charges - magnesium ions (Mg2+) and oxide ions (O2-).
Step 2: Determine the charge - the magnesium has a charge of +2 and the oxide has a charge of -2. Thus, one magnesium ion is required for each oxide ion.
Step 3: Write the formula - MgO.

Example: Aluminum sulphate

Step 1: Identify the ions and their charges - aluminum ions (Al3+) and sulphate ions (SO42-).
Step 2: Determine the charge - aluminum has a charge of +3 and sulphate has a charge of -2. You need two aluminum ions for every three sulphate ions to balance the charges.
Step 3: Write the formula - Al2(SO4)3.

It is important to remember that when writing a formula, parentheses must be used to add polyatomic ions when more than one is needed to balance the charges. By following these steps and understanding the charges on the ions, you can derive the formulas of various ionic compounds.

7.3.1 Use of Roman numerals as oxidation number

Roman numerals are used to indicate the oxidation states of elements in compounds, when a metal exhibits variable oxidations in compounds. For examples in transition metal compounds.
CuSO4 is written as copper (II) sulphate.
FeCl2 is written as iron (II) chloride.
FeCl3 is written as iron (III) chloride.