Question

For atoms with Principle Quantum number 4, what are the possible values for (Secondary Quantum Number) and mı (Magnetic Quantum Number)?

Answer 1

There are total 4 types of quantum number which are

1. Principal quantum number (n)

2. Secondary quantum number(l)

3. Magnetic quantum number (m_{​​​​​​l})

4. Magnetic spin quantum number (m_{​​​​​​s})

Possible values of this quantum numbers can be calculated by following general rules

To calculate l , l $\leq$ n-1. Therefore, all the values which are less than equal to n-1 are the possible values of l. It can not be negative.

To calculate m_{​​​​​​l} , -l $\leq$ m_{​​​​​​l}$\leq$ l. Thus, all the values between -l and l are the possible values of this quantum number.

Valuea of m_{​​​​​​s} is always +1/2 or -1/2.

Here, n=4

According to the above rule, l= 0,1,2,3.

m_{​​​​​​l} = 0, if l=0

m_{​​​​​​l} = -1,0,1 if l=1

m_{​​​​​​l} = -2,-1,0,1,2 if l=2

m_{​​​​​​l}= -3,-2,-1,0,1,2,3 if l=3.