Determine the chemical formula for the compound that is formed when each of the following pairs of ions interact.
a. Na^{+} and P^{3-} b. Be^{2+} and P^{3-}
a. The Na^{+} and P^{3-} ions combine in a three-to-one ratio because this combination causes the charges to add to zero. Three Na^{+} ions give a total positive charge of 3. One P^{3-} ion results in a total negative charge of 3. Thus the chemical formula for the compound is Na_{3}P.
b. The numbers in the charges for these ions are 2 and 3. The lowest common multiple of 2 and 3 is 6 (2 × 3 = 6). Thus we need 6 units of positive charge and 6 units of negative charge. Three Be^{2+} ions are needed to give the 6 units of positive charge, and two P^{3-} ions are needed to give the 6 units of negative charge. The combining ratio of ions is three to two, and the chemical formula is Be_{3}P_{2}.
\quad\quadThe strategy of finding the lowest common multiple of the numbers in the charges of the ions always works, and it is a faster process than that of drawing the Lewis structures.