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Chapter 36: Problem 25

What are the possible \(j\) values for a hydrogen atom in the \(3 D\) state?

Short Answer

Expert verified
The possible \(j\) values for a hydrogen atom in the 3D state are \(3/2\) and \(5/2\).

Step by step solution

01

Determine the azimuthal quantum number (\(l\))

For a hydrogen atom in 3D state, the orbital type is represented by the letter 'D' which corresponds to the azimuthal quantum number (\(l\)) equal to 2.
02

Find the possible \(j\) values

The \(j\) values range from \(l - 1/2\) to \(l + 1/2\), including both halves. Therefore, the possible \(j\) values in this case are \(3/2\) and \(5/2\).

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