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Chapter 6: Problem 57

Give the numerical values of \(n\) and \(l\) corresponding to each of the following orbital designations: (a) \(3 p\), (b) \(2 s,(\mathbf{c}) 4 f,\) (d) $5 d$.

Short Answer

Expert verified
The numerical values of $n$ and $l$ for each orbital designation are as follows: (a) \(3p\) : \(n = 3\) and \(l = 1\) (b) \(2s\) : \(n = 2\) and \(l = 0\) (c) \(4f\) : \(n = 4\) and \(l = 3\) (d) \(5d\) : \(n = 5\) and \(l = 2\)

Step by step solution

01

Identify n and l for 3p orbital

In the orbital designation, the number preceding the orbital type gives the value of n. Here, n = 3. Next, look at the orbital type, which is p. p orbitals correspond to l = 1. Therefore, for a 3p orbital, we have n = 3 and l = 1. (b) 2s
02

Identify n and l for 2s orbital

In the orbital designation, the number preceding the orbital type gives the value of n. Here, n = 2. Next, look at the orbital type, which is s. s orbitals correspond to l = 0. Therefore, for a 2s orbital, we have n = 2 and l = 0. (c) 4f
03

Identify n and l for 4f orbital

In the orbital designation, the number preceding the orbital type gives the value of n. Here, n = 4. Next, look at the orbital type, which is f. f orbitals correspond to l = 3. Therefore, for a 4f orbital, we have n = 4 and l = 3. (d) 5d
04

Identify n and l for 5d orbital

In the orbital designation, the number preceding the orbital type gives the value of n. Here, n = 5. Next, look at the orbital type, which is d. d orbitals correspond to l = 2. Therefore, for a 5d orbital, we have n = 5 and l = 2.

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Most popular questions from this chapter

Using the periodic table as a guide, write the condensed electron configuration and determine the number of unpaired electrons for the ground state of (a) $\mathrm{Cl},(\mathbf{b}) \mathrm{Al},(\mathbf{c}) \mathrm{Zr},(\mathbf{d})\( As, (e) \)\mathrm{Sb},(\mathbf{f}) \mathrm{W}$

Label each of the following statements as true or false. For those that are false, correct the statement. (a) Visible light is a form of electromagnetic radiation. (b) Ultraviolet light has longer wavelengths than visible light. (c) X rays travel faster than microwaves. (d) Electromagnetic radiation and sound waves travel at the same speed.

Classify each of the following statements as either true or false: (a) A hydrogen atom in the \(n=3\) state can emit light at only two specific wavelengths, \((\mathbf{b})\) a hydrogen atom in the \(n=2\) state is at a lower energy than one in the \(n=1\) state, and (c) the energy of an emitted photon equals the energy difference of the two states involved in the emission.

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