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Lacey_Che131_F2011_Lect-24

# Lacey_Che131_F2011_Lect-24 - Lec-24 Electron configurations...

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Unformatted text preview: Lec-24: Electron configurations Lec 24: Electron configurations Roy A. Lacey, Stony Brook University; Che 131, Fall 2011 1 Quantum numbers Solution leads to orbitals The shape, phase & electron occupancy are described by four quantum numbers n, l, m l , m s Quantum numbers are related to each other Quantum numbers are related to each other Roy A. Lacey, Stony Brook University; Che 131, Fall 2011 2 Solutions to the wave equation Solutions are characterized by quantum numbers ` The principle quantum number, n , is a positive integer that indicates the shell and relative size of orbital(s) Solutions are characterized by quantum numbers orbital(s). ` The angular momentum quantum number, l , is an integer from zero to n-1. It defines the shape of the orbital and subshell. V a l u e o f l 1 2 3 4 Letter identifier s p d f g ` The magnetic quantum number, m l , is an integer with a value from -l to +l. It defines the orientation of an orbital in the space around the nucleus of an atom orbital in the space around the nucleus of an atom. ` The spin magnetic quantum number, m s , is to account for the two possible spin orientations. The values for m are +1/2 and 1/2 Roy A. Lacey, Stony Brook University; Che 131, Fall 2011 3 m s are +1/2 and -1/2. Quantum numbers n l m l # orbitals Quantum numbers are related to each other Quantum numbers are related to each other 1 1 2 1 1-1 0 +1 3 1-1,0,+1 3 3 1 1-1,0,+1 3 2-2.-1,0,+1,+2 5 4 1 1-1,0,+1 3 2-2.-1,0,+1,+2 5 Roy A. Lacey, Stony Brook University; Che 131, Fall 2011 4 3-3,-2.-1,0,+1,+2,+3 7 Quantum numbers Quantum numbers are related to each other Quantum numbers are related to each other Roy A. Lacey, Stony Brook University; Che 131, Fall 2011 5 Quantum numbers are related to each other Quantum numbers are related to each other Quantum numbers Write the possible sets of quantum numbers for an electron in the...
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