Before writing any quantum numbers because that phosphorus" 5 valence electrons, let"s compose the atom"s electron configuration, since this will give you an idea on what you"re dealing with.

Phosphorus is situated in duration 3, group 15 the the regular table and also has an atom number same to 15. This means that neutral phosphorus has a complete of 15 electrons bordering its nucleus.

Now, orbitals are filled in order of increasing energy using a collection of rules referred to as the Pauli-Aufbau-Hund rules.

So, as soon as filling orbital diagrams, start from the lowest-energy orbitals and work your means up. A an extremely important thing to mental is the same-energy orbitals must be completely filled before moving to greater energy ones.

So, if you begin filling the orbit diagram for phosphorus, and keeping in mind the electrons will rather occupy empty orbitals on the same energy level before pairing up with another electron that"s currently present in that orbital, you"ll gain something that looks choose this

Now for the quantum numbers that describe the 5 valence electrons. As you know, there room a complete of 4 quantum numbers

Notice that all five valence electrons are on the third energy level, which way their principal quantum number will be n = 3.

You are watching: Give the quantum number sets for each electron in the 3p sublevel of a phosphorus (p) atom.

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The angular momentum quantum number, or l, defines the form of the orbit in which an electron sits, the magnetic quantum number, or #"m"_l#, defines the orientation that that details orbital, and the spin quantum number, or #"m"_s#, describes an electron"s spin - either spin-up or spin-down.

So, here are the four quantum numbers for each the the 5 valence electrons

#"n=3 "# #"l=0 "# #"m"_l"=0 "# #"m"_s"=+1/2"# #-># (1)

#"n=3 "# #"l=0 "# #"m"_l"=0 "# #"m"_s"=-1/2"# #-># (2)

#"n=3 "# #"l=1 "# #"m"_l"=-1 "# #"m"_s"=+1/2"# #-># (3)

#"n=3 "# #"l=1 "# #"m"_l"=0 "# #"m"_s"=+1/2"# #-># (4)

#"n=3 "# #"l=1 "# #"m"_l"=+1 "# #"m"_s"=+1/2"# #-># (5)

In order, the electrons explained will it is in

(1) - this is the very first electron inserted in the 3s-orbital; an alert that it has spin-up;

(2) - the 2nd electron inserted in the 3s orbital; this one must have actually an opposite spin, that is why it"s spin-down;

(3) - the very first electron in the 3p-subshell, an ext specifically in the #3p_x# orbital;

(4) - the second electron situated in the 3p-subshell - an alert that it"s put in the #3p_y# orbit - same spin;

(5) - the 3rd electron situated in the 3p-subshell - this time in the #3p_z# orbital - tho spin-up.