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How many different possible states can there be for an atom with n =5 and I= 3?

University Physics Volume 3

17th Edition

ISBN:9781938168185

Author:William Moebs, Jeff Sanny

Publisher:William Moebs, Jeff Sanny

Chapter8: Atomic Structure

Section: Chapter Questions

Problem 38P: How many polar angles are possible for an electron in the l = 5 state?

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Question

How many different possible states can there be for an atom with n =5 and I= 3?

Expert Solution

Step 1

Consider a one-electron atom. The state of electron in the atom is given by four quantum numbers namely, principal quantum number, Azimuthal quantum number, principal quantum number(n), orbital quantum number(l), magnetic quantum number(m_l) and spin quantum number(m_s).

For every given l state, m_l takes value from -l to +l. For every m_l, there are two possible spin states, up and down.

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