Lecture 24 - Electron Configurations

Lecture 24 - Electron Configurations - Oct 26, 2011 Lec 24:...

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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 Roy A. Lacey, Stony Brook University; Che 131, Fall 2011 2 Oct 26, 2011 www.chemreview.net/SB.htm Orbital - The space where an electron is likely to be found. 1-5 1-6
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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) 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. Value of l 0 1 2 3 4 Letter identifier s p df 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 1 0 0 1 20 0 1 1 -1 0 +1 3 -1,0,+1 30 0 1 1 -1,0,+1 3 2 -2.-1,0,+1,+2 5 40 0 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 2-1 n total orbitals n types of orbitals =(n-1)
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Quantum numbers Quantum numbers are related to each other Roy A. Lacey, Stony Brook University; Che 131, Fall 2011 5 Quantum numbers Write the possible sets of quantum numbers for an electron in the Write the possible sets of quantum numbers for an electron in the third shell (n=3) that have an l value = 1 and spin m s = +1/2 l = 0, … n-1 1m=- 1 0 + 1 l l s 1, m = -1 0 +1 11 1 m 22 2 ± ± ± Roy A. Lacey, Stony Brook University; Che 131, Fall 2011 6
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Shapes of orbitals ` Psi squared, \ 2 , defines the space, called an orbital, in an atom where the probability of finding an electron is high electron is high. ` A radial distribution plot is a graphical representation of the probability of finding an electron in a thin spherical layer near the nucleus of electron in a thin spherical layer near the nucleus of an atom.
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Lecture 24 - Electron Configurations - Oct 26, 2011 Lec 24:...

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