chem 125 lecture 17 10/10/2005 projected material this material is for the exclusive use of chem 125...
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![Page 1: Chem 125 Lecture 17 10/10/2005 Projected material This material is for the exclusive use of Chem 125 students at Yale and may not be copied or distributed](https://reader030.vdocuments.net/reader030/viewer/2022032522/56649d6b5503460f94a4a6c0/html5/thumbnails/1.jpg)
Chem 125 Lecture 1710/10/2005
Projected material
This material is for the exclusive use of Chem 125 students at Yale and may not
be copied or distributed further.
It is not readily understood without reference to notes from the lecture.
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•CH3
SOMOPlanar Bent
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Structural Isotope Effect:
CH3
spendsmore time more bent
than
CD3 (thus uses mores-character for
SOMO electron)
C
HH
H
C
HH
H
C
H H
H
• • •
CH3
CD3
36 Gauss38 Gauss
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CF3•
Repulsion between F atoms? Flatter than CH3
•
Since Fluorine holds the lion's share of the bonding electron pair, Carbon has less reason to use its valuable s-character in the bonding orbitals. Use it for the SOMO.
More Bent than CH3•
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•CF3
SOMO
271 Gauss!
20% s
(vs. 38 for •CH3)
sp4
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Tension!
Goals
ComputerChem 125
StudentMinimize kinetic
plus coulomb energies of
electrons and nuclei by
“settling down”
Minimize kinetic plus coulomb energy using Schrödinger equation
with “realistic” constraints
Understand structure and reactivity with
the simplest“realistic” model
ExperimentalMolecule
e.g. limited set of AOs,SCF, some correlation
e.g. hybridization,bonds, lone pairs,E-match/overlapHOMO/LUMO
Validationwith
Experiment& Computer
Validationwith
Experiment
Structure e-Density (X-Ray)
Energies (IR)Nuclear Density (EPR)Dipole Moment, etc.
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Dunitz et al. (1981)
Experiment: Pathological Bonding
MissingBond !
BentBonds !
BestOverlapPossiblefor 60°
Very PoorOverlap
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Computer:
B
H
HH
ElectronCloud of
by "Spartan"
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BH3
Total e-Density0.30 e/Å3
Mostly1s Core
of Boron
B
H
HH
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BH3
Total e-Density0.15 e/Å3
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BH3
Total e-Density (0.05 e/Å3)
Dimple
H atoms take e-densityfrom valence orbitals of B
BH+••H •
B•
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BH3
Total e-Density0.02 e/Å3
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BH3
Total e-Density0.002 e/Å3
van der Waalssurface
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BH3
Total e-Density0.002 e/Å3
ElectrostaticPotential
Energy of a+ probe onthe surface
low (-) high (+)
H
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Computer PartitionsTotal e-Density
intoSymmetrical MOs
(à la Chladni)
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BH3
8 low-energy AOs 8 low-energy MOs
B : 1s , 2s , 2px , 2py , 2pz
3 H : 1s
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noccupied
BH3
8 electrons / 4 pairs
B : 5 electrons3 H : 3 1 electron
••••
••
••
OMOs
UMOs
LUMO
HOMO(s) •• ••
ccupied
ighest
owest
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1s
••••
••
••
1s ••Boron Core
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2s ••••
••
••
Radial Node
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2px ••••
••
••
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2py••
••
••
••
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2pz
••••
••
••
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3s
••••
••
••
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3dx2-y2
••••
••
••
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3dxy
••••
••
••
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Computer PartitionsTotal e-Density
intoSymmetrical MOs
(à la Chladni)
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We PartitionTotal e-Density
intoAtom-Pair Bonds
(and anti-bonds)
& Lone Pairs(and vacant atomic orbitals)
(à la Lewis)
usually
When thisdoesn't work,and we must
use moresophisticatedorbitals, wesay there is
RESONANCE
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2pz
••
••
••
•••••• ••BHHB
Same Total e-Density
Same Total Energy
BH
HB
For Many Purposes Localized Orbitals are Not Bad
Boron Core
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Where are We?
MoleculesPlum-Pudding Molecules ("United Atom" Limit)
Understanding Bonds (Pairwise LCAO)"Energy-Match & Overlap"
Structure (and Dynamics) of XH3 MoleculesParsing Electron Density
Atoms3-Dimensional Reality (H-like Atoms)
HybridizationOrbitals for Many-Electron Atoms (Wrong!)Recovering from the Orbital Approximation
Recognizing Functional Groups
Payoff forOrganic
Chemistry!
ReactivitySOMOs, high HOMOs, and low LUMOs
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The Localized Orbital Picture(Pairwise MOs and Isolated AOs)
Is Our Intermediate betweenH-like AOs and Computer MOs
When must we think more deeply?
When mixing of localized orbitals causes
Reactivityor
Resonance
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Which MOMixings Matter
forReactivity?
••
••
••
••
etc.
••
••
••
etc.
UMOs
OMOsOMOs
B A
UMOs
Myr
iad
Pos
sibl
e P
airw
ise
Mix
ings
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Which MOMixings Matter
forReactivity?
••
••
••
••
etc.
••
••
••
etc.
UMOs
OMOsOMOs
••SOMO SOMO••
B A
SOMO-SOMO(when they exist)
UMOs
many atoms"free radicals"
e.g. •H •Cl •CH3
not so common
ingly
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Which MOMixings Matter
forReactivity?
••
••
••
••
etc.
UMOs
••
••
••
etc.
UMOs
OMOsOMOs
••
••
B A
Nothing
Weak NetRepulsion
••
Negligiblemixing
BadE-match
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Which MOMixings Matter
forReactivity?
••
••
••
••
etc.
UMOs
••
••
••
etc.
UMOs
OMOsOMOs
B ABonding!
Unusually High
HOMOwith
Unusually Low
LUMO
••
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Which MOMixings Matter
forReactivity?
••
••
••
••
etc.
UMOs
••
••
••
etc.
UMOs
OMOsOMOs
B A••
Bonding!
Unusually High
HOMOwith
Unusually Low
LUMO
BASE
ACID
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Acid-Base Theories
Lavoisier(1789)
OxidizedSubstance
Substance tobe Oxidized
Arrhenius(1887)
H+ Source OH- Source
Incr
easi
ng G
ener
ality
THEORY ACID BASE
Brønsted/Lowry(1923)
H+ Donor H+ Acceptor
Lewis(1923)
e-Pair Acceptor"Electrophile"
e-Pair Donor"Nucleophile"
HOMO/LUMO(1960s)
unusually
High HOMOunusually
Low LUMO
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Unusual:Compared to What?
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End of Lecture 17