Question

iii. How many number of maximum electrons have quantumnumber n=4, ms= -4/2 in
an atom?

Answer 1

Answer:

n = 4, ml=+1 means 4p-subshell which can have maximum 6 electrons.

Answer 2

Answer:

If the quantum number n = 4 and the magnetic spin number ms = -1/2, the maximum of electrons with those quantum numbers is 16

Explanation:

• If n = 4, that means it is the fourth energy level
• The maximum number of electrons in the nth energy level is 2n²
• The shells 4s, 4p, 4d, and 4f are possible
• 4s has 1 orbital, 4p has 3 orbitals, 4d has 5 orbitals and 4 f has7 orbitals
• The total number of orbitals in the 4th energy level is 1+3+5+7= 16 orbitals
• Each orbital can contain a maximum of 2 electrons
• The total number of electrons is 32 in the 4th energy level
• We get 32 both by the formula and the above proof
• An electron can have the magnetic spin number -1/2 or 1/2
• Half of the total number of electrons have the magnetic spin number ms = -1/2
• So 32/2 = 16 electrons have magnetic spin number ms = -1/2

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