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Chapter 6: Q6.9CYL (page 310)

How many orbitals havel= 2 andn= 3?

Short Answer

Expert verified

When n=3 and l=2, then it represents 3d- subshell.

3d-subshell has five orbitals.

Step by step solution

01

Shells and subshells

The value of 鈥渘鈥� represents the principle quantum number. It represents the size of the orbit/shell.

Quantum number l represents the shape of orbitals.

l = 0 represents s- subshell and it has one orbital.

l = 1 represents p-subshell. p-subshell has three orbitals.

l = 2 represents d-subshell. d-subshell has five orbitals.

l = 3 represents f-subshell. F-subshell has

02

The number of orbitals in a subshell

The 鈥渘鈥� and 鈥渓鈥� values of the given subshell are: \(n = 3,l = 2\).

These values represent 3d-subshell.

The d-subshell has five orbitals.

Hence, the answer is five orbitals.

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Question:Consider the orbitals shown here in the outline.

(a) What is the maximum number of electrons contained in an orbital of type (x)? Of type (y)? Of type (z)?

(b) How many orbitals of type (x) are found in a shell withn= 2? How many of type (y)? How many of type (z)?

(c) Write a set of quantum numbers for an electron in an orbital of type (x) in a shell withn= 4. Of an orbital of type

(y) in a shell withn= 2. Of an orbital of type (z) in a shell withn= 3.

(d) What is the smallest possiblenvalue for an orbital of type (x)? Of type (y)? Of type (z)?

(e) What are the possiblelandmlvalues for an orbital of type (x)? Of type (y)? Of type (z)?
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