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Which of the following is correct?...

Which of the following is correct?

A

`r_("ionic") prop Z`

B

`r_("ionic") prop Z_(eff)`

C

`r_("ionic") prop (1)/(Z_(eff))`

D

`r_("ionic") prop Z_(eff)^2`

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question regarding the correct statement about ionic radius and effective nuclear charge (Z-effective), we can break it down into a step-by-step analysis: ### Step-by-Step Solution: 1. **Understanding Ionic Radius**: - Ionic radius refers to the size of an ion in a crystal lattice. It is an important factor in determining the properties of ionic compounds. 2. **Relationship Between Ionic Radius and Size**: - The ionic radius is directly proportional to the size of the ion. This means that larger ions will have a larger ionic radius. 3. **Understanding Effective Nuclear Charge (Z-effective)**: - The effective nuclear charge is the net positive charge experienced by an electron in a multi-electron atom. It accounts for the shielding effect of inner electrons. 4. **Relationship Between Ionic Radius and Z-effective**: - The size of an ion is inversely proportional to the effective nuclear charge. This means that as the effective nuclear charge increases, the ionic radius decreases. This is because a higher Z-effective means that the nucleus has a stronger pull on the electrons, drawing them closer and reducing the size of the ion. 5. **Conclusion**: - Based on the relationships discussed, we can conclude that the correct statement is that the ionic radius is inversely proportional to the effective nuclear charge (Z-effective). Thus, if Z-effective increases, the ionic radius decreases. ### Final Answer: The correct statement is: "Ionic radius is inversely proportional to Z-effective."

To solve the question regarding the correct statement about ionic radius and effective nuclear charge (Z-effective), we can break it down into a step-by-step analysis: ### Step-by-Step Solution: 1. **Understanding Ionic Radius**: - Ionic radius refers to the size of an ion in a crystal lattice. It is an important factor in determining the properties of ionic compounds. 2. **Relationship Between Ionic Radius and Size**: ...
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