Questions: Quantum numbers are interrelated values that indicate a specific orbital: the principal quantum number, n; the angular momentum quantum number, l; and the magnetic quantum number, ml. 0,1, ..., n-1 +1 / 2,-1 / 2 -l ...0 ...+l What are the allowed values for the principal quantum number n ? 1,2,3, ...

Quantum numbers are interrelated values that indicate a specific orbital: the principal quantum number, n; the angular momentum quantum number, l; and the magnetic quantum number, ml.
0,1, ..., n-1
+1 / 2,-1 / 2
-l ...0 ...+l
What are the allowed values for the principal quantum number n ?
1,2,3, ...

Transcript text: QUESTION ⓘ ANSWER Quantum numbers are interrelated values that indicate a specific orbital: the principal quantum number, $n$; the angular momentum quantum number, $l$; and the magnetic quantum number, $m_{l}$. $0,1, \ldots, n-1$ $+1 / 2,-1 / 2$ $-l . . .0 \ldots+l$ What are the allowed values for the principal quantum number $n$ ? $1,2,3, \ldots$

Solution

Solution Steps

Step 1: Understanding the Principal Quantum Number

The principal quantum number, denoted as $ n $, is a positive integer that determines the overall size and energy of an orbital in an atom. It can take any positive integer value.

Step 2: Listing the Allowed Values

The allowed values for the principal quantum number $ n $ are $ 1, 2, 3, \ldots $. This means $ n $ can be any positive integer starting from 1 and increasing without any upper limit.

Final Answer

$\boxed{1, 2, 3, \ldots}$

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