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JEE Main 2017
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Animated Solution for Chemistry - Periodicity in Properties: The group having isoelectronic species is

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\text{Concept of Isoelectronic Species}

  • \text{Isoelectronic species are atoms or ions that have the same number of electrons.}
  • \text{Number of electrons} = Z - \text{charge}

\text{Electrons in } O^{2-}

  • \text{Atomic number of Oxygen } (Z) = 8
  • \text{Charge} = -2
  • \text{Electrons} = 8 - (-2) = 10

\text{Electrons in } F^{-}

  • \text{Atomic number of Fluorine } (Z) = 9
  • \text{Charge} = -1
  • \text{Electrons} = 9 - (-1) = 10

\text{Electrons in } Na^{+}

  • \text{Atomic number of Sodium } (Z) = 11
  • \text{Charge} = +1
  • \text{Electrons} = 11 - (+1) = 10

\text{Electrons in } Mg^{2+}

  • \text{Atomic number of Magnesium } (Z) = 12
  • \text{Charge} = +2
  • \text{Electrons} = 12 - (+2) = 10
  • \text{All ions have 10 electrons.}

\text{Checking other options}

  • \text{Option (b): } Na \text{ has } 11 e^{-}
  • \text{Option (c): } Na \text{ has } 11 e^{-}
  • \text{Option (d): } O^{-} \text{ has } 9 e^{-}

The Sigma Insight: Periodic Table and Periodic Properties

Solution Diagram

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:
Here, 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, . Oxygen has an atomic number of . The charge indicates it has gained two extra electrons to complete its octet.
Next is the fluoride ion, . Fluorine's atomic number is . With a charge, it has accepted one additional electron.
Now, let's look at the cations. The sodium ion, , comes from sodium, which has an atomic number of . The charge means it has lost one of its valence electrons.
Finally, we evaluate the magnesium ion, . Magnesium starts with . The charge tells us it has donated two electrons.

Analyzing the Winning Group

Look at the beautiful symmetry we just uncovered! Every single ion in this group—, , , and —has exactly 10 electrons. They all share the stable, closed-shell electron configuration of the noble gas Neon (). 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 (), which has electrons, breaking the pattern of . Option (d) includes , which only has 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!

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