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Chapter 40: Q71P (page 1251)

An electron in a multi-electron atom is known to have the quantum number I = 3. What are its possible n,m1,andmsquantum numbers?

Short Answer

Expert verified

The possible quantum numbers are given by:

The values of are any value greater than 3.

The values of m1are-3,-2,-1,0,-1,2,or3.

The values of msare+12or-12.

Step by step solution

01

The given data

The given quantum state, I = 3

02

Understanding the concept of quantum numbers:

A quantum number is a value used to describe the energy levels that atoms and molecules have.

For a given orbital quantum number I, the principal quantum can have values greater than I . Again, for the given I , the magnetic orbital quantum numbers range from -I to +I. Now, irrespective of all quantum numbers, the spin quantum number has only two values due to the case of Pauli's exclusion Principle.

03

Calculation of the possible quantum numbers:

From the concept, we can say that the value of the principal quantum number n can have values greater than 3 for I = 3 .

Now, the possible values for considering the concept are -3,-2,-1,0,-1,2, or 3 .

Now, using the concept, the possible values for msis+12or-12.

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