Chemistry Practice Problems Quantum Numbers Practice Problems Solution: If ml = 4, what can you say about l?a. l = 4b. l &...

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Solution: If ml = 4, what can you say about l?a. l = 4b. l > 4c. l ≥ 4 d. l < 4e. l ≤ 4

Problem

If ml = 4, what can you say about l?

a. = 4

b. > 4

c. l ≥ 4 

d. l < 4

e. ≤ 4

Solution

We are asked to determine the value of ℓ when m= 4.

Possible values of the quantum numbers:

principal quantum number  energy level in orbitals and its value could be any positive integer starting from 1 to infinity

angular momentum quantum number (ℓ) → (l) has to be at least 1 less than n, range of values from 0 up to (n-1)

▪ Each ℓ value corresponds to a subshell:

 = 0 → s subshell
 = 1 → p subshell 
 = 2 → d subshell
 = 3 → f subshell

 = 4 → g subshell

• magnetic quantum number (m) → range of values from - to + 

▪ The m values (for each ℓ) represent electron orbitals for the subshell:

s subshell→ 1 orbital
p subshell→ 3 orbitals
d subshell → 5 orbitals
f subshell → 7 orbitals

g subshell → 9 orbitals

spin quantum number (ms) → can only have two possible values +½ (spin up electron) or ½ (spin down electrons)

• Note that 1 orbital can hold a maximum of 2 electrons → 1 spin up (+½) and 1 spin down (–½) 


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