Chapter 11, Problem 33A

Interpretation Introduction

Interpretation:

The possible orbital designations should be determined.

Concept introduction:

Orbital define region in space where there is possibility to find electron. It is function of set of 4 quantum numbers as follows:

1. Principal quantum number $\left(n\right)$

2. Angular momentum quantum number $\left(l\right)$

3. Magnetic quantum number $\left(m\right)$ .

Answer to Problem 33A

Correct Answer: (a), (c) and (d).

Explanation of Solution

Reason for correct option:

  $n$ gives information about the energy of the principal energy shell/level and how far the shell lies from nucleus. Its acceptable values are all positive whole numbers.

  $l$ gives information on shape of orbital. Its acceptable values are all positive integers from 0 to $n-1$ .The table for the $l$ values is as follows:

  $\begin{array}{cccccccc}l& 0& 1& 2& 3& 4& 5& 6\\ \text{Subshell}& s& p& d& f& g& h& i\end{array}$

(a)

Orbital designation of $1s$ is possible because it represent $n=1$ principal energy level with 1 allowed orbital that is $s$ .

(c)

Orbital designation of $2p$ is possible as $n=2$ principal energy level have only 2 allowed orbitals, those are $s$ and $p$ .

(d)

Orbital designation of $4f$ is possible as $n=4$ principal energy level have 4 allowed orbitals, those are $s$ , $p$ , $d$ and $f$ .

Conclusion

Reason for incorrect option:

(b)

Orbital designation of $2d$ is not possible as $n=2$ principal energy level have only 2 allowed orbitals, those are $s$ and $p$ .