# Quantum - For l = 2 and m l =-2-1,0,1,2 it tells you that...

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Quantum Numbers for Electron Orbitals to n = 4 Energy Level Value of n Value(s) of l* Value(s) of m l ** Orbital Sublevel Designation Orbitals in Energy Level (n 2 ) Electrons Possible in Energy Level (2n 2 ) 1 1 0 (s orbital) 0 (1 orbital) 1s 1 2 2 2 0 (s orbital) 1 (p orbital) 0 (1 orbital) -1, 0, 1 (3 orbitals) 2s 2p 1+3=4 8 3 3 0 (s orbital) 1 (p orbital) 2 (d orbital) 0 (1 orbital) -1, 0, 1 (3 orbitals) -2, -1, 0, 1, 2 (5 orbitals) 3s 3p 3d 1+3+5=9 18 4 4 0 (s orbital) 1 (p orbital) 2 (d orbital) 3 (f orbital) 0 (1 orbital) -1, 0, 1 (3 orbitals) -2, -1, 0, 1, 2 (5 orbitals) -3,-2,-1,0,1,2,3 (7 orbitals) 4s 4p 4d 4f 1+3+5+7=16 32 * l = 0,. ..,n-1 (increments of 1). So l tells you the shape AND type of orbital. If l = 0, then it is an s orbital. If l = 1, it is a p orbital. If l = 2, it is a d orbital. If l = 3, it is a f orbital. ** m l = -l,. ..,l (increments of 1). So it tells you how many orbitals there are in a sublevel. For l = 0 and m l = 0, it tells you that there is only one s orbital allowed. For l = 1 and m l = -1,0,1, it tells you that there are three p orbitals.
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Unformatted text preview: For l = 2 and m l = -2,-1,0,1,2, it tells you that there are five d orbitals. For l = 3 and m l = -3,-2,-1,0,1,2,3, it tells you that there are seven f orbitals. Note that this Table also tells you at what energy level a given type of orbital is allowed. For example, there are no 1p orbitals: the first p orbitals begin at energy level 2, for 2p. Also, there are no 1d or 2d orbitals, and there are no 1f, 2f, or 3f orbitals. This is why you can tell how many sublevels there are from the n value. For n = 1, there is only 1 sublevel; for n=2, there are 2 sublevels, etc. The principal energy level, or the value of n, gives you two other pieces of information quickly. The number of orbitals per energy level is just n 2 , while the number of electrons which can fill an energy level is 2n 2 . So for n=2, there are 2 2 = 4 orbitals, and (2)2 2 = 8 electrons can fill this energy level....
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## This note was uploaded on 06/25/2008 for the course CHEM 400-401 taught by Professor Dr.samples during the Fall '06 term at American River.

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