Questions: An orbital with the quantum numbers n=5, l=2, ml=2 may be found in which subshell? 5 s 5 p 5 d 5 f 5 g

An orbital with the quantum numbers n=5, l=2, ml=2 may be found in which subshell?
5 s
5 p
5 d
5 f
5 g
Transcript text: An orbital with the quantum numbers $n=5, l=2, m_{l}=2$ may be found in which subshell? 5 s $5 p$ $5 d$ $5 f$ 5 g
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Solution

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Solution Steps

Step 1: Identify the Quantum Numbers

The given quantum numbers are:

  • Principal quantum number: \( n = 5 \)
  • Azimuthal quantum number: \( l = 2 \)
  • Magnetic quantum number: \( m_l = 2 \)
Step 2: Determine the Subshell from \( l \)

The azimuthal quantum number \( l \) determines the subshell:

  • \( l = 0 \) corresponds to the \( s \) subshell
  • \( l = 1 \) corresponds to the \( p \) subshell
  • \( l = 2 \) corresponds to the \( d \) subshell
  • \( l = 3 \) corresponds to the \( f \) subshell
  • \( l = 4 \) corresponds to the \( g \) subshell

Given \( l = 2 \), the subshell is \( d \).

Step 3: Combine with Principal Quantum Number

The principal quantum number \( n = 5 \) indicates the energy level. Combining this with the subshell \( d \), we get the \( 5d \) subshell.

Final Answer

\(\boxed{5d}\)

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