When ranking ionic radii, it is essential to consider the total number of electrons in the atoms or ions being compared. Generally, a greater number of electrons corresponds to a larger ionic radius. However, when dealing with isoelectronic species—atoms or ions that possess the same number of electrons—additional criteria must be applied to determine their relative sizes.
To illustrate this, consider the following example where we arrange ions in order of decreasing ionic radius. The first step involves calculating the total number of electrons for each element or ion. For instance, iron (Fe) has an atomic number of 26, meaning it has 26 electrons when neutral. If it loses 2 electrons to become Fe2+, it retains 24 electrons. Manganese (Mn), with an atomic number of 25, loses 1 electron to become Mn+1, also resulting in 24 electrons. Nickel (Ni), with an atomic number of 28, loses 2 electrons to become Ni2+, leaving it with 26 electrons. Zinc (Zn), having an atomic number of 30, loses 2 electrons to become Zn2+, resulting in 28 electrons.
From this analysis, we can initially rank the ions based on their electron counts: Zn2+ (28 electrons) is the largest, followed by Ni2+ (26 electrons). To differentiate between Fe2+ and Mn+1, both of which have 24 electrons, we apply the second step. For isoelectronic species, the ionic radius increases with more negative charges. Thus, since Mn+1 has a less positive charge compared to Fe2+, it has a larger ionic radius.
In summary, when comparing ionic radii, remember that more electrons lead to a larger ionic radius. If the number of electrons is equal, the ionic radius is determined by the charge: the more negative the charge, the larger the ionic radius. This principle is crucial for understanding the behavior of ions in various chemical contexts.