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The azimuthal quantum number indicates …...

The azimuthal quantum number indicates …..of the orbital

A

Size

B

Shape

C

Orientation

D

Spin

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To answer the question "The azimuthal quantum number indicates …..of the orbital," we need to understand what the azimuthal quantum number represents in quantum mechanics. ### Step-by-Step Solution: 1. **Definition of Azimuthal Quantum Number**: - The azimuthal quantum number is denoted by the symbol \( l \). - It is associated with the angular momentum of an electron in an atom. 2. **Range of Azimuthal Quantum Number**: - The value of \( l \) can range from \( 0 \) to \( n-1 \), where \( n \) is the principal quantum number. - For example, if \( n = 2 \), then \( l \) can be \( 0 \) or \( 1 \). 3. **Indication of Orbital Shape**: - The azimuthal quantum number primarily indicates the shape of the orbital. - Different values of \( l \) correspond to different types of orbitals: - \( l = 0 \) corresponds to an s orbital (spherical shape). - \( l = 1 \) corresponds to a p orbital (dumbbell shape). - \( l = 2 \) corresponds to a d orbital (cloverleaf shape), and so on. 4. **Conclusion**: - Therefore, the azimuthal quantum number indicates the **shape** of the orbital. ### Final Answer: The azimuthal quantum number indicates the **shape** of the orbital.
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