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Richmond Lee
Quantum
Chemical
Studies into
Mechanism &
Reactivity of
Catalytic and
Oxidative
Reactions
Approach
2
Plausible?
1] Experimental observations
3] Choice/level of theory*
2] Propose mechanism
HΨ = EΨ
YES Rationalization for
Chemical Reactivity!
4] Modeling
NO
* Critical
Richmond Lee
Choice and level of theory
3
Plausible?
1] Experimental observations
3] Choice/level of theory*
2] Propose mechanism
HΨ = EΨ
YES Rationalization for
Chemical Reactivity!
4] Modeling
NO
* Critical
• DFT: fast optimization and
good geometries
• Composite methods or non-
canonical CCSD(T): highly
accurate scaled coupled
cluster calculations
• Speed and accuracy!
Richmond Lee
4
Plausible?
1] Experimental observations
3] Choice/level of theory*
2] Propose mechanism
HΨ = EΨ
YES Rationalization for
Chemical Reactivity!
4] Modeling
NO
* Critical
Energy
FMO
Electron density
(topological)
Computational toolkit for chemical reactivity &
mechanism
Richmond Lee
5
Materials,
eg polymers:
Degradation/
durability
Biomolecules:
Pathology/
disease
Catalyst:
Reactivity
Prediction/OutcomesIn silico modelingExperiments
Richmond Lee
- Part I -
Catalysis
7
Cinchona Alkaloids Catalysts
Yield 60-70%
% enantioselectivity excess (ee) > 99
(DHQD)2AQN =
Chem. Eur. J. 2011, 17, 8066
Richmond Lee
1 2
3
8
Origin of stereoselectivity
ProposedMechanism
Richmond Lee
9
Origin of stereoselectivity
Outcome: agreement to experimentProposed
DFT B3-LYP functional with mixed basis set: 6-31G(d,p) on core atoms
and 6-31G(d) on other atoms. Values in parenthesis are PCM (toluene)
single-point energies.
Richmond Lee
COOMe
Ph
N
cis-R
cis-S
Nu
N
Ph
MeOOC
trans-R
trans-S
10
*Cat
N
O
R1
H H
*Cat
N
H
O
R1
N
O
O
R3
R2
+ 9
-alkylation
-alkylation
Mechanism
Angew. Chem. Int. Ed. 2013, 52, 6666 Yield > 88%; % ee > 90
Mechanistic Questions:
• Stereochemistry?
• Why is γ-alkylation
preferred over α-
alkylation?
Richmond Lee
Thiourea Catalysts
11
Regio- and stereo-selectivity
∆∆G‡ = 3.2
∆∆G‡ = 8.6 ∆∆G‡ = 5.5
∆∆G‡ = 0.0
Kinetically
preferred -
Agrees to
Expt.!
B3-LYP /6-31G(d,p)
Richmond Lee
12
Explaining regio- and stereo-selectivities
Values in parenthesis are Mayer bond orders*
*Bond orders were analyzed with AOmix
Richmond Lee
13
Catalysis: Chemo- and stereo-divergence
Mechanistic Questions:
• Origin of stereo- and chemo-selectivity?
• What causes the switch?
Angew. Chem. Int. Ed. 2016,
55, 1299
Richmond Lee
14Richmond Lee
15
M06-2X(D3)/def2TZVP+SMD//B3LYP/6-31G(d,p)+SMD
Richmond Lee
16
Michael addition
Formal Mannich
Protonation
[4+2] product: first resting state
Richmond Lee
17
[4+2] product
retro-cyclization
Reorientation of substrates
Richmond Lee
• B3-LYP, an economical DFT method is sufficient to
study catalytic asymmetric reactions: geometry
optimizations and even give accurate energies
• Improvement to energies could be done with a single-
point meta-hybrid M06-2X functional to correct for
deficiencies like dispersion effects
• Weak non-covalent interactions, eg non-classical H-
bonding Cα-H· · ·X (X= O,N) interactions play important
role in stereo-discrimination
18
Key findings - Part I
Richmond Lee
- Part II -
Oxidative Cleavage of Cholesterol by
Dual O2 activation and Sulfide
Reduction to Secosterol Aldehyde
20
Oxidative C=C bond cleavage
Lin, Chen & Jiao, Org. Lett. 2012, 14, 4158
R2
R1
R4
R3
O3/ Zn or Me2S
Cat. Mn(III); Os(VIII); Ru(III)
Stiochiometric oxone/NaIO4
Organic oxidant: PhIO/ HBF4
enzymes: oxygenase; peroxidases
Review: Adv. Synth. Catal. 2013, 355, 3321
Richmond Lee
Reactivity of triplet O2 with acene
21
Reddy & Bendikov Chem. Commun. 2006, 1179
UB3LYP/6-31G(d) level of theory
Richmond Lee
22
Metabolites have
pathological links to…
Heart disease
Alzheimer’s Parkinson
Inflammation
Richmond Lee
Cholesterol metabolites causing Aβ aggregation
Kelly and coworkers, Proc. Natl. Acad. Sci. 2004, 4752
23Richmond Lee
AFM image of amyloid assemblies
24Richmond Lee
25
HH
HO
H
3
Cholesterol
[O]
HH
HO
H
3
O
O
H
Aldol
HH
HO
H
OH
O
H
3
Susceptible to attack
to form plaque conjugate
HH
HO
H
3
O3
O
OO
HH
HO
H
3
O
OO
H
HO
H
3
O
O
O
Base/acid
Oxidation of cholesterol by oxidant
with chemical signature of ozone
Wentworth, Lerner and coworkers:
Proc. Natl. Acad. Sci. U.S.A. 2003, 100, 3031
Science 2003, 302, 1053
NaO3S
N
H
O
SO3Na
O3
NaO3S
N
H
O
O2
Richmond Lee
26
J. Am. Chem. Soc. 2008, 130, 12224
Oxidation cleavage of C=C bond with singlet O2
Richmond Lee
DFT method
• Unrestricted broken-symmetry diradicaloid calculation
• Yamaguchi’s spin-projection energy to remove triplet
contamination
27
HSBS
SP
EEEBS )1(  
22
22
SS
SS
BSHS
LS
exact
HS



Functional/
6-31+G(d,p)
EBS EHS ESP
BS
HS<S2> BS<S2> ∆ES-T
B3LYP -150.3110038 -150.327576 -150.294430 2.0000 1.0000 20.8
M06-2X -150.2639480 -150.279856 -150.219285 1.9969 0.9969 28.0
M11 -150.2495452 -150.266872 -150.232213 2.0000 1.0000 21.7
M11-L -150.2238629 -150.244360 -150.203372 1.9997 0.9997 25.7
Richmond Lee
28
Broken symmetry UM11/6-
31+G(d,p) level of theory for
step-wise TS while
concerted TS are closed
shell optimized at RM11/6-
31+G(d,p).
Most preferred
Richmond Lee
How about triplet ground state O2?
• Re-examine the C=C cleavage process
computationally by following…
– Only with ground state 3O2 molecule(s) to cleave
C=C bond of cholesterol
– Oxygen incorporation comes solely from O2
– Metal-independent process
29Richmond Lee
Retrosynthetic analysis
30Richmond Lee
31
Triplet O2 addition to C=C bond
Energetically preferred
Richmond Lee
32Richmond Lee
33
Peroxo reduction & C-C bond cleavage
J. Am. Chem. Soc. 1993, 115, 11376-11383; Antioxid. Redox Signal. 2003, 5, 577-582;
Antioxid. Redox Signal. 2013, 19, 823-835
Richmond Lee
Theozyme modeling – mimicking enzyme
• ‘Theozyme’ or theoretical enzyme model by
Houk, Chen and Tantillo [Curr. Opin. Chem. Biol. 1998, 2,
743-750]
• Considers strategic placement of functional
groups that aim to stabilize the TS
• Goto & Klinman found methionine to be
important in O2 binding affinity in amine oxidase
[Biochemistry 2002, 41, 13637-13643]
34Richmond Lee
Richmond Lee 35
36Richmond Lee
37
Reactivity studies
Oxygen is more
polarized by Me2S
making it more
electrophilic
Binding chol to 2x 3O2 and
Me2S is exothermic
Non-polarized
oxygen
Richmond Lee
38
Entry Molecule ∆Gsol
≠ (kcal mol-1) N° (eV)
1 chol 27.2 0.102
2 styrene 27.8 0.110
3 isoprene 26.7 0.104
4 acrylate 34.9 0.037
5 butenone 32.4 0.063
6 vinyl methyl ether 30.8 0.098
Cyclohexenes & derivatives
7 R1= H, R2= H, R3= H 29.2 0.095
8 R1= CH3, R2= H, R3= H 27.0 0.107
9 R1= H, R2= CH3, R3= H 29.6 0.094
10 R1= H, R2= H, R3= CH3 29.3 0.094
11 R1=CH3, R2= CH3, R3= H 27.1 0.106
12 R1=CH3, R2= H, R3= CH3 26.6 0.107
N° is the global nucleophilicity
index of the alkenes
Richmond Lee
39
Key findings - Part II
• New oxidative cleavage mechanism of C=C mediated
by dual 3O2 and sulfide reduction
• 3O2 addition rate acceleration with theozyme
• Reaction possible without photo-sensitizer
• Enzyme catalysis vs autoxidation
Richmond Lee
- Part III -
Ozone in Promoting Polymer
Degradation
OO
n
Ozone reacts rapidly with rubber
41
Chem. Rev. 1930
Rubber cracking by ozone:
Richmond Lee
Mass spec studies
42
pMMA with unsat. chain ends exposed to UV and heat to mimic outdoor conditions
Richmond Lee
Defects or irregularities inherent in pMMA
43
Bulk
Benzene solvent
Richmond Lee
O2 inhibition towards polymer degradation
44
NO + O3  NO2 + O2
Richmond Lee
45
Senescence of leaves
Richmond Lee
46
Dechelation of metal
[O]
Richmond Lee
Further implications in fruit ripening?
47Richmond Lee
What do experiments tell us?
• [O] oxidation on pMMA is crucial for polymer
degradation
• Happens to chlorophylls for irreversible chemical
change in breaking C=C bond
• Which [O] oxidant is strong enough to break
C=C bonds?
• That is also naturally occurring in atmosphere?
48Richmond Lee
49
O3 - Oxidative cleavage of double bonds
Ozone as oxidant for breaking C=C bonds
R2
R4
R1
R3
O3 R2
R4
R1
R3
O O
O
R1 R3
O
O
R2
O
R4
+
Primary ozonide
1,2,3-trioxolane
Criegee
Intermediate
R1
R3
O O
R2
O
R4
Secondary ozonide
1,2,4-trioxolane
R2
R4
R1
R3
O3 Zn
H2O R1
O
R3
+
R2
O
R4
Richmond Lee
Addition of ozone to ω-unsat. bond
50
Values are G3(MP2)-RAD composite method free energies with solvent corrections in kcal mol-1
Richmond Lee
51
∆G≠ = +55.6
∆G≠ = +11.5
Richmond Lee
O-O bond rupture
52
∆E = 58.6
Singlet channel
Richmond Lee
53
Singlet channel
∆G = +25.1
O-O bond rupture
Richmond Lee
54
Singlet channel
∆EMECP = +41.9
Minimum energy crossing point (MECP)
O-O bond rupture
Richmond Lee
55
Singlet channel
4
1.464
C2
O3
C4
D(O1‐C2‐O3‐C4) = ‐18.58°
O5
D(O5‐C4‐O3‐C2) = ‐12.16°
5
3.246
D(O1‐C2‐O3‐C4) = ‐63.26°
D(O5‐C4‐O3‐C2) = ‐40.94°
MECP
2.023
D(O1‐C2‐O3‐C4) = ‐15.96°
D(O5‐C4‐O3‐C2) = ‐28.54°
Richmond Lee
56
∆G≠ = +27.2
∆G≠ = +31.9
∆G≠ = +36.0
Richmond Lee
57
∆G≠ = +18.9
∆G≠ = +15.2
∆G≠ = +12.3
Richmond Lee
58
∆G≠ = +33.7
∆G≠ = +31.0
Richmond Lee
• Experimental studies of the thermal degradation kinetics of PMMA
reported the process as having activation energy of 52.6 kcal/mol in
air.
• By assuming Arrhenius pre-exponential factors of both processes to
be similar, the ratio of kozone[O3]/kair[O2] offers a straightforward
comparison of their relative magnitudes.
• Under ambient conditions the concentration of O3 is 100 ppbv and
O2 2.1×108 ppbv. Using our computed MECP barrier of 41.9
kcal/mol and the experimental barrier of 52.6 kcal/mol, the computed
ratio of rate coefficients is ~33 at 298 K, implying that ozone initiated
damage to polymers is more than competitive, despite its very low
concentration
59
Key findings & conclusion
Richmond Lee
Richmond Lee 60
Work-in-progress
H
O3+
H
O3
cage
H
O3
step-wise
H
O O
O tertiary H abstraction
primary H abstraction
O3
H
HH
O
H
H
H
O
O
concerted
concerted
TS1a
TS1b
TS1c
TS1d
int-1
∆HRCCSD(T)
b ∆HRM11
d
iBu + O3 0.0 (0.026) 0.0
int-1 -0.4 (0.018) -1.8
TS1a 16.0 (0.018) 17.7
TS1b 23.6 (0.020) 27.1
TS1c 21.8 (0.051) 22.4
TS1d 34.2 (0.028) 29.5
Richmond Lee 61
Energy
FMO
Electron density
(topological)
Cost (not to scale)
Accuracy
CCSD(T) –
errors within
1 kcal/mol
Meta-hybrid DFT:
M06-2X, etc
MP2
Hybrid DFT: B3-LYP, etc
Semi-empirical: PM3, etc
Fast, accurate, and
communicable insights!
+
Thank you for
your attention…
Questions?
62Richmond Lee

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Solvay-ppt

  • 1. Richmond Lee Quantum Chemical Studies into Mechanism & Reactivity of Catalytic and Oxidative Reactions
  • 2. Approach 2 Plausible? 1] Experimental observations 3] Choice/level of theory* 2] Propose mechanism HΨ = EΨ YES Rationalization for Chemical Reactivity! 4] Modeling NO * Critical Richmond Lee
  • 3. Choice and level of theory 3 Plausible? 1] Experimental observations 3] Choice/level of theory* 2] Propose mechanism HΨ = EΨ YES Rationalization for Chemical Reactivity! 4] Modeling NO * Critical • DFT: fast optimization and good geometries • Composite methods or non- canonical CCSD(T): highly accurate scaled coupled cluster calculations • Speed and accuracy! Richmond Lee
  • 4. 4 Plausible? 1] Experimental observations 3] Choice/level of theory* 2] Propose mechanism HΨ = EΨ YES Rationalization for Chemical Reactivity! 4] Modeling NO * Critical Energy FMO Electron density (topological) Computational toolkit for chemical reactivity & mechanism Richmond Lee
  • 6. - Part I - Catalysis
  • 7. 7 Cinchona Alkaloids Catalysts Yield 60-70% % enantioselectivity excess (ee) > 99 (DHQD)2AQN = Chem. Eur. J. 2011, 17, 8066 Richmond Lee 1 2 3
  • 9. 9 Origin of stereoselectivity Outcome: agreement to experimentProposed DFT B3-LYP functional with mixed basis set: 6-31G(d,p) on core atoms and 6-31G(d) on other atoms. Values in parenthesis are PCM (toluene) single-point energies. Richmond Lee COOMe Ph N cis-R cis-S Nu N Ph MeOOC trans-R trans-S
  • 10. 10 *Cat N O R1 H H *Cat N H O R1 N O O R3 R2 + 9 -alkylation -alkylation Mechanism Angew. Chem. Int. Ed. 2013, 52, 6666 Yield > 88%; % ee > 90 Mechanistic Questions: • Stereochemistry? • Why is γ-alkylation preferred over α- alkylation? Richmond Lee Thiourea Catalysts
  • 11. 11 Regio- and stereo-selectivity ∆∆G‡ = 3.2 ∆∆G‡ = 8.6 ∆∆G‡ = 5.5 ∆∆G‡ = 0.0 Kinetically preferred - Agrees to Expt.! B3-LYP /6-31G(d,p) Richmond Lee
  • 12. 12 Explaining regio- and stereo-selectivities Values in parenthesis are Mayer bond orders* *Bond orders were analyzed with AOmix Richmond Lee
  • 13. 13 Catalysis: Chemo- and stereo-divergence Mechanistic Questions: • Origin of stereo- and chemo-selectivity? • What causes the switch? Angew. Chem. Int. Ed. 2016, 55, 1299 Richmond Lee
  • 16. 16 Michael addition Formal Mannich Protonation [4+2] product: first resting state Richmond Lee
  • 18. • B3-LYP, an economical DFT method is sufficient to study catalytic asymmetric reactions: geometry optimizations and even give accurate energies • Improvement to energies could be done with a single- point meta-hybrid M06-2X functional to correct for deficiencies like dispersion effects • Weak non-covalent interactions, eg non-classical H- bonding Cα-H· · ·X (X= O,N) interactions play important role in stereo-discrimination 18 Key findings - Part I Richmond Lee
  • 19. - Part II - Oxidative Cleavage of Cholesterol by Dual O2 activation and Sulfide Reduction to Secosterol Aldehyde
  • 20. 20 Oxidative C=C bond cleavage Lin, Chen & Jiao, Org. Lett. 2012, 14, 4158 R2 R1 R4 R3 O3/ Zn or Me2S Cat. Mn(III); Os(VIII); Ru(III) Stiochiometric oxone/NaIO4 Organic oxidant: PhIO/ HBF4 enzymes: oxygenase; peroxidases Review: Adv. Synth. Catal. 2013, 355, 3321 Richmond Lee
  • 21. Reactivity of triplet O2 with acene 21 Reddy & Bendikov Chem. Commun. 2006, 1179 UB3LYP/6-31G(d) level of theory Richmond Lee
  • 22. 22 Metabolites have pathological links to… Heart disease Alzheimer’s Parkinson Inflammation Richmond Lee
  • 23. Cholesterol metabolites causing Aβ aggregation Kelly and coworkers, Proc. Natl. Acad. Sci. 2004, 4752 23Richmond Lee
  • 24. AFM image of amyloid assemblies 24Richmond Lee
  • 25. 25 HH HO H 3 Cholesterol [O] HH HO H 3 O O H Aldol HH HO H OH O H 3 Susceptible to attack to form plaque conjugate HH HO H 3 O3 O OO HH HO H 3 O OO H HO H 3 O O O Base/acid Oxidation of cholesterol by oxidant with chemical signature of ozone Wentworth, Lerner and coworkers: Proc. Natl. Acad. Sci. U.S.A. 2003, 100, 3031 Science 2003, 302, 1053 NaO3S N H O SO3Na O3 NaO3S N H O O2 Richmond Lee
  • 26. 26 J. Am. Chem. Soc. 2008, 130, 12224 Oxidation cleavage of C=C bond with singlet O2 Richmond Lee
  • 27. DFT method • Unrestricted broken-symmetry diradicaloid calculation • Yamaguchi’s spin-projection energy to remove triplet contamination 27 HSBS SP EEEBS )1(   22 22 SS SS BSHS LS exact HS    Functional/ 6-31+G(d,p) EBS EHS ESP BS HS<S2> BS<S2> ∆ES-T B3LYP -150.3110038 -150.327576 -150.294430 2.0000 1.0000 20.8 M06-2X -150.2639480 -150.279856 -150.219285 1.9969 0.9969 28.0 M11 -150.2495452 -150.266872 -150.232213 2.0000 1.0000 21.7 M11-L -150.2238629 -150.244360 -150.203372 1.9997 0.9997 25.7 Richmond Lee
  • 28. 28 Broken symmetry UM11/6- 31+G(d,p) level of theory for step-wise TS while concerted TS are closed shell optimized at RM11/6- 31+G(d,p). Most preferred Richmond Lee
  • 29. How about triplet ground state O2? • Re-examine the C=C cleavage process computationally by following… – Only with ground state 3O2 molecule(s) to cleave C=C bond of cholesterol – Oxygen incorporation comes solely from O2 – Metal-independent process 29Richmond Lee
  • 31. 31 Triplet O2 addition to C=C bond Energetically preferred Richmond Lee
  • 33. 33 Peroxo reduction & C-C bond cleavage J. Am. Chem. Soc. 1993, 115, 11376-11383; Antioxid. Redox Signal. 2003, 5, 577-582; Antioxid. Redox Signal. 2013, 19, 823-835 Richmond Lee
  • 34. Theozyme modeling – mimicking enzyme • ‘Theozyme’ or theoretical enzyme model by Houk, Chen and Tantillo [Curr. Opin. Chem. Biol. 1998, 2, 743-750] • Considers strategic placement of functional groups that aim to stabilize the TS • Goto & Klinman found methionine to be important in O2 binding affinity in amine oxidase [Biochemistry 2002, 41, 13637-13643] 34Richmond Lee
  • 37. 37 Reactivity studies Oxygen is more polarized by Me2S making it more electrophilic Binding chol to 2x 3O2 and Me2S is exothermic Non-polarized oxygen Richmond Lee
  • 38. 38 Entry Molecule ∆Gsol ≠ (kcal mol-1) N° (eV) 1 chol 27.2 0.102 2 styrene 27.8 0.110 3 isoprene 26.7 0.104 4 acrylate 34.9 0.037 5 butenone 32.4 0.063 6 vinyl methyl ether 30.8 0.098 Cyclohexenes & derivatives 7 R1= H, R2= H, R3= H 29.2 0.095 8 R1= CH3, R2= H, R3= H 27.0 0.107 9 R1= H, R2= CH3, R3= H 29.6 0.094 10 R1= H, R2= H, R3= CH3 29.3 0.094 11 R1=CH3, R2= CH3, R3= H 27.1 0.106 12 R1=CH3, R2= H, R3= CH3 26.6 0.107 N° is the global nucleophilicity index of the alkenes Richmond Lee
  • 39. 39 Key findings - Part II • New oxidative cleavage mechanism of C=C mediated by dual 3O2 and sulfide reduction • 3O2 addition rate acceleration with theozyme • Reaction possible without photo-sensitizer • Enzyme catalysis vs autoxidation Richmond Lee
  • 40. - Part III - Ozone in Promoting Polymer Degradation OO n
  • 41. Ozone reacts rapidly with rubber 41 Chem. Rev. 1930 Rubber cracking by ozone: Richmond Lee
  • 42. Mass spec studies 42 pMMA with unsat. chain ends exposed to UV and heat to mimic outdoor conditions Richmond Lee
  • 43. Defects or irregularities inherent in pMMA 43 Bulk Benzene solvent Richmond Lee
  • 44. O2 inhibition towards polymer degradation 44 NO + O3  NO2 + O2 Richmond Lee
  • 47. Further implications in fruit ripening? 47Richmond Lee
  • 48. What do experiments tell us? • [O] oxidation on pMMA is crucial for polymer degradation • Happens to chlorophylls for irreversible chemical change in breaking C=C bond • Which [O] oxidant is strong enough to break C=C bonds? • That is also naturally occurring in atmosphere? 48Richmond Lee
  • 49. 49 O3 - Oxidative cleavage of double bonds Ozone as oxidant for breaking C=C bonds R2 R4 R1 R3 O3 R2 R4 R1 R3 O O O R1 R3 O O R2 O R4 + Primary ozonide 1,2,3-trioxolane Criegee Intermediate R1 R3 O O R2 O R4 Secondary ozonide 1,2,4-trioxolane R2 R4 R1 R3 O3 Zn H2O R1 O R3 + R2 O R4 Richmond Lee
  • 50. Addition of ozone to ω-unsat. bond 50 Values are G3(MP2)-RAD composite method free energies with solvent corrections in kcal mol-1 Richmond Lee
  • 51. 51 ∆G≠ = +55.6 ∆G≠ = +11.5 Richmond Lee
  • 52. O-O bond rupture 52 ∆E = 58.6 Singlet channel Richmond Lee
  • 53. 53 Singlet channel ∆G = +25.1 O-O bond rupture Richmond Lee
  • 54. 54 Singlet channel ∆EMECP = +41.9 Minimum energy crossing point (MECP) O-O bond rupture Richmond Lee
  • 55. 55 Singlet channel 4 1.464 C2 O3 C4 D(O1‐C2‐O3‐C4) = ‐18.58° O5 D(O5‐C4‐O3‐C2) = ‐12.16° 5 3.246 D(O1‐C2‐O3‐C4) = ‐63.26° D(O5‐C4‐O3‐C2) = ‐40.94° MECP 2.023 D(O1‐C2‐O3‐C4) = ‐15.96° D(O5‐C4‐O3‐C2) = ‐28.54° Richmond Lee
  • 56. 56 ∆G≠ = +27.2 ∆G≠ = +31.9 ∆G≠ = +36.0 Richmond Lee
  • 57. 57 ∆G≠ = +18.9 ∆G≠ = +15.2 ∆G≠ = +12.3 Richmond Lee
  • 58. 58 ∆G≠ = +33.7 ∆G≠ = +31.0 Richmond Lee
  • 59. • Experimental studies of the thermal degradation kinetics of PMMA reported the process as having activation energy of 52.6 kcal/mol in air. • By assuming Arrhenius pre-exponential factors of both processes to be similar, the ratio of kozone[O3]/kair[O2] offers a straightforward comparison of their relative magnitudes. • Under ambient conditions the concentration of O3 is 100 ppbv and O2 2.1×108 ppbv. Using our computed MECP barrier of 41.9 kcal/mol and the experimental barrier of 52.6 kcal/mol, the computed ratio of rate coefficients is ~33 at 298 K, implying that ozone initiated damage to polymers is more than competitive, despite its very low concentration 59 Key findings & conclusion Richmond Lee
  • 60. Richmond Lee 60 Work-in-progress H O3+ H O3 cage H O3 step-wise H O O O tertiary H abstraction primary H abstraction O3 H HH O H H H O O concerted concerted TS1a TS1b TS1c TS1d int-1 ∆HRCCSD(T) b ∆HRM11 d iBu + O3 0.0 (0.026) 0.0 int-1 -0.4 (0.018) -1.8 TS1a 16.0 (0.018) 17.7 TS1b 23.6 (0.020) 27.1 TS1c 21.8 (0.051) 22.4 TS1d 34.2 (0.028) 29.5
  • 61. Richmond Lee 61 Energy FMO Electron density (topological) Cost (not to scale) Accuracy CCSD(T) – errors within 1 kcal/mol Meta-hybrid DFT: M06-2X, etc MP2 Hybrid DFT: B3-LYP, etc Semi-empirical: PM3, etc Fast, accurate, and communicable insights! +
  • 62. Thank you for your attention… Questions? 62Richmond Lee