Decoding Isoelectronic Species
When you encounter the term isoelectronic, the secret is hidden right in the name. The prefix iso- means "equal" or "same," and electronic refers to the electrons. Therefore, an isoelectronic series is simply a group of atoms or ions that possess the exact same number of electrons.
To determine the number of electrons in any given ion, we use a very straightforward formula:
Number of Electrons=Z−Charge
Here, Z represents the atomic number (the number of protons), which tells us how many electrons a neutral atom of that element would have. The charge tells us how many electrons have been gained or lost. Remember, electrons are negatively charged, so a negative ion (anion) has gained electrons, while a positive ion (cation) has lost electrons.
The Electron Counting Game
Let's put our formula to the test by analyzing the species given in the first option.
First, we have the oxide ion, O2−. Oxygen has an atomic number of Z=8. The −2 charge indicates it has gained two extra electrons to complete its octet.
Electrons in O2−=8−(−2)=10
Next is the fluoride ion, F−. Fluorine's atomic number is Z=9. With a −1 charge, it has accepted one additional electron.
Electrons in F−=9−(−1)=10
Now, let's look at the cations. The sodium ion, Na+, comes from sodium, which has an atomic number of Z=11. The +1 charge means it has lost one of its valence electrons.
Electrons in Na+=11−(+1)=10
Finally, we evaluate the magnesium ion, Mg2+. Magnesium starts with Z=12. The +2 charge tells us it has donated two electrons.
Electrons in Mg2+=12−(+2)=10
Analyzing the Winning Group
Look at the beautiful symmetry we just uncovered! Every single ion in this group—O2−, F−, Na+, and Mg2+—has exactly 10 electrons. They all share the stable, closed-shell electron configuration of the noble gas Neon (1s22s22p6). Because they all have the same number of electrons, they perfectly fit the definition of an isoelectronic series.
Why the Others Fail
If we quickly glance at the other options, it becomes obvious why they are incorrect. For instance, options (b) and (c) include neutral Sodium (Na), which has 11 electrons, breaking the pattern of 10. Option (d) includes O−, which only has 8+1=9 electrons.
This is a classic, high-yield concept in chemistry. Always be meticulous with your signs when counting electrons—it is the easiest place to make a silly mistake!