selection rules for electronic transitions · 2011-11-21 · 7 calculate ground state term symbols...

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UMass Amherst Created by Karsten Theis Chem 341 Coordination Chemistry – Electronic Spectra Chapter 11: pp 409-418 HW: 1 2 3c 4c 5a 6 7 8 9 10 Goals: Use Beers Law to calculate Abs; convert wavelength into wavenumbers; Derive ground state term symbols Upcoming: 11/18, 11/21: Ch. 11. Electronic transitions in metal complexes 11/23 no class 11/28, 11/30: Acc. Chem. Res. 2003, 36, 876-887 Photochemistry for solar energy 12/2: Exam III 2 Selection Rules for electronic transitions Laporte selection: transitions between states of same parity are not allowed (g->u or u->g are OK) Spin selection: transitions involving a change in spin multiplicity are not allowed ( 4 A 2 4 T 1 ok; 4 A 2 1 T 1 not OK) Charge transfers are often very intense ...

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UMass Amherst Created by Karsten Theis

Chem 341

Coordination Chemistry – Electronic SpectraChapter 11: pp 409-418HW: 1 2 3c 4c 5a 6 7 8 9 10

Goals: Use Beers Law to calculate Abs; convert wavelength into wavenumbers; Derive ground state term symbols

Upcoming: 11/18, 11/21: Ch. 11. Electronic transitions in metal complexes11/23 no class11/28, 11/30: Acc. Chem. Res. 2003, 36, 876-887

Photochemistry for solar energy12/2: Exam III

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Selection Rules for electronic transitions

Laporte selection: transitions between states of same parity are not allowed (g->u or u->g are OK)

Spin selection: transitions involving a change in spin multiplicity are not allowed (4A2 4T1 ok; 4A2 1T1 not OK)

Charge transfers are often very intense

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Which is the ground state for an octahedral d2 ion, with weak-field ligands?

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Which is the ground state for an octahedral d2 ion, with weak-field ligands?

t2g2 3T1g (?)

t2geg3T2g (?)

t2g2 1T2g(?)

t2g2 1A1g(?)

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Which electronic transition is most intense?

a) A B b) A C c) A D

3T1g 3T2g

3T1g 1T2g

3T1g 1A1g

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Which electronic transition is most intense?

a) A B

3T1g 3T2g

But note the g g parity! (not intense)

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Calculate Ground state Term Symbols Describe angular momentum (spin and orbital)

using LS coupling (Russell-Suanders) Write out electron config. Find L and S

ML = ml MS = ms

ML = 0, ±1, ±2…±L MS = 0, ±1, ±2…±S

The ground state has maximal spin mulitpliticity!

The ground state has highest S (Hunds rule) Tiebreaker; state with highest L

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Easy way for ground state term symbols To find maximal spin multiplicity (2S+1) and highest

orbital angular momentum (L): Write ml values for the valence subshell(s) Eg: d4 ion

s1p1 ion

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All Terms: go through the microstates! Ex: 15 microstates for p2 ion (eg: C atom)

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Reducing microstates to the Free Atom States (AKA Terms) Break down microstates into

rectangular groups, to figure out L. (2S+1)L for spin multiplicity Ground state has maximum

multiplicity

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Beers Law A = lc l (pathlength); c (mol/L); (M-1 cm-1) A = log (Io/I) E = h = hc/= hc

h = 6.626 x 10-34 Js c = 2.998 x 108 m s-1

(frequency, s-1) (wavenumber, cm-1)

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450 550 650

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