Find out all quantum numbers for 15th electron of chlorine?

1 Answer
Junaid Mirza
Apr 4, 2018

#3, 1, +-1, +1/2#

Explanation:

Electronic configuration of chlorine #(""_17"Cl")# is

#"1s"^2 color(white)(.)"2s"^2 color(white)(.) "2p"^6 color(white)(.) "3s"^2 color(white)(.) "3p"^5#

#15^"th"# electron is in #"3p"^5# subshell. This #"3p"^5# can be written as

#underline( color(white)(.) uarr darr color(white)(.)color(white)(.) uarr darr color(white)(.) color(white)(.) color(blue)(uarr) color(white)(.))#
# color(white)(...) "3p"_"x" color(white)(.......)"3p"_"z" color(white)(....) "3p"_"y" color(white)(...)#

#15^"th"# electron is the one marked blue

Quantum numbers of #15^"th"# electron are

  • Principle quantum number #("n") = 3#
    Because it’s in #3^"rd"# shell

  • Angular momentum quantum number #(l) = 1#
    Because it’s in p-subshell

  • Magnetic momentum quantum number #(m) = +-1#
    #"p"_"z"# corresponds to #"m = 0"# orbital, #"p"_"x"# and #"p"_"y"# are mixtures of #"m = +1"# and #"m = -1"# orbitals.

  • Spin quantum number #(s) = +1/2#
    Because it’s the first electron in the #"3p"_"y"# orbital.

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