3. Potentials of Aromatics Huckle HOMO/LUMO splitting Hammet parameters Lowry and Richardson, Mechanism and Theory in Organic Chemistry, 2nd Ed. Review of MO theory: Benzene Gbenzene 4 2 2 Gbenzene 6 8 2 Reference State is the p orbital, 2 bonds lie lower http://www.ch.ic.ac.uk/vchemlib/course/mo_theory/main.html Review of MO theory: Benzene Gbenzene 6 8 GB 3 2 2 GB 5 7 2 Reference State is the p orbital, B e B G 2 Note the notation here: We still write the oxidation Reaction as a reduction, But we signal that it is an Oxidation reaction by writing Eoxo nFE oxo ~ G HOMO nFEoxo HOMO Csolvation,ox Csolvation,red Dreference electrode IF Csolvation,ox ~ Csolvation,red nFEoxo HOMO Csolvation Dreference electrode E o ox a HOMO b A similar analysis can take place for the reduction potentials E o red a' LUMO b' You do it Prove that the free energy change for the reaction of o Ered Benzene Benzene e o o Grxo G Benzene G Benzene Is related to the energy (in terms of and ) of the LUMO Eredo LUMO p m HOMO Eoxo More conjugation Is referenced to benzene Prediction of one-electron electrode potentials of some quinones in dimethylsulfoxide, J. Electroanal. Chem., 2004, 573, 49-53; M. Namazian, P. Norouzi Peover, M. E., in Electroanalytical Chem. Vol. 2, 1967 Where would decacylene and biphenyl fit (relatively speaking) on this graph? 0 decacylene biphenyl -0.5 coronene acenapapthylene E (V vs SCE) -1 pyrene -1.5 quaterphenyl -2 tetracene -2.5 naphthalene y = -2.7431x - 0.7306 R2 = 0.949 -3 fluoranthene stilbene -3.5 0 0.1 0.2 0.3 0.4 0.5 0.6 Orbital Energy (units of Beta) by Huckel Theory 0.7 0.8 Peover, M. E., in Electroanalytical Chem. Vol. 2, 1967 Where would decacylene and biphenyl fit (relatively speaking) on this graph? 0 decacylene -0.5 coronene acenapapthylene E (V vs SCE) -1 pyrene -1.5 quaterphenyl -2 tetracene -2.5 naphthalene y = -2.7431x - 0.7306 R2 = 0.949 -3 fluoranthene stilbene biphenyl -3.5 0 0.1 0.2 0.3 0.4 0.5 0.6 Orbital Energy (units of Beta) by Huckel Theory 0.7 0.8 Streitwieser, 1962 2 Oxidation ~ HOMO 1.5 1 0.5 E vs SCE 0 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 -0.5 -1 -1.5 -2 -2.5 -3 absolute value m What sets the intercept scale? – reference electrode is SCE Reduction ~ LUMO Reduction absolute value m -3 -2.5 -2 E vs SCE -1.5 -1 -0.5 0 0.5 1 1.5 2 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 Reference Electrodes The absolute reference is 2 H 2e H 2 , g aq V 0 The standard conditions for this reaction are PH2 RT o V V ln nF H PH2 1atm H 1M An electrode configured this way = Normal Hydrogen Electrode = NHE Common Reference Systems NHE Ag/AgCl SCE Fc/Fc+ 0V Re action Ag aq e Ag s AgCls Ag Cl aq aq Cons tan t Free Energy V 0.7996 K sp 18 . x10 10 nF V RT ln K sp Controlled by the presence of KCl solid, saturated 4 M solution of KCl You Finish This Problem…………………. Why might this make a good reference system….. Hint think of what you would like a reference electrode to be….. V Answer 0197 . Common Reference Systems NHE Ag/AgCl SCE Fc/Fc+ 0V Re action Ag aq e Ag s Cons tan t Free Energy V 0.7996 AgCls Ag Cl aq aq K sp 18 . x10 10 nF V RT ln K sp You Finish This Problem…………………. Why might this make a good reference system….. Hint think of what you would like a reference electrode to be….. V Answer 0197 . Common Reference Systems NHE Ag/AgCl SCE Fc/Fc+ 0V 0.2412 Saturated Calomel Electrode Hg2 Cl2 ,s 2e 2 Hg 2Cl V 0.2412 Write out the Nernst equation for this reaction Looking at the Nernst equation – explain how this reaction is one particularly suited for a reference system Common Reference Systems NHE Ag/AgCl SCE Fc/Fc+ 0V 0.2412 0.40 (water) Fe Fc =Ferrocence = Fe(Cp)2 Fc e Fc Used as a reference in nonaqueous solvents because The potential is relatively solvent independent Fc Eo vs NHE Water 0.40 Acetonitrile 0.69 DMF 0.72 Dimethylsulfoxide 0.68 Electrochemical Window******** Streitwieser, 1962 2 Oxidation ~ HOMO 1 0.5 E vs SCE 0 0 -0.5 -1 -1.5 Pt in MeCN, 0.1 M TBABF Hg, Water Pt, Water 1.5 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 -2 -2.5 -3 absolute value m Reduction ~ LUMO Can we make measurements of all of these easily? – related to solvents and electrodes Electron affinity Ionization Potential Expect (for a homologous series) correlations between a) Ered and A, Electron affinity b) Eox and Ionization Potentials Eredo LUMO p m HOMO Eoxo 9.5 S 9 CH3 S 8.5 H3C CH3 H3C H3C IP (eV) 8 7.5 7 6.5 H3C CH3 H3C 6 CH3 H3C CH3 5.5 5 0.5 1 1.5 2 Eox (V vs NHE) Eberson, L. Electron-Transfer Reactions in Organic Chemistry, 1982, 79-185 2.5 3 3.5 Doesn’t fit the series – can only Do this for compounds which have Similar solvation effects N 3 N 2.5 2 EA 1.5 1 0.5 0 -0.5 -1 -3 -2.8 -2.6 -2.4 -2.2 -2 Ered (V) -1.8 -1.6 -1.4 -1.2 -1 1. Accurate Calculation of Absolute One-Electron Redox Potentials of Some para-Quinone Derivatives in Acetonitrile, JPCA, 2007, 111, 7227, Mansoor Namzian and Michelle L. Coote. 2. Quantum Chemical Modeling of the Reduction of Quinones, J. R. T. Johnsson Waas, E. Ahlberg, Itai Panas, D. J. Schiffrin, JPC A, 2006, 110, 2005 3. Substituent Effect ona Family of Quinones in Aprotic Solvents: An Experimental and Theoretical Approach; JPC A, 2006, 110, 9411; C. Frontana, A. Vazquez-Mayagoitia, J. Garza, R. Vargas, I. Gonzalez 4. Quantum-Chemical Predictions of Absolute Standard Redox Potentials of Diverse Organic Molecules and Free Radicals in Acetonitrile, JACS, 2005, 127, 7227, Yao Fu, Lei Liu, Hai-Zhu Yu, Yi-Min Wang and QingZiang Guo 5. DFT calculation of electrode potentials for substituted quinones in aqueous solution. Chem Phys Letters, 396, 2004, 424; M Namzian, Hora A. Almodarresieh, M. R. Noorbala, H. R. Zare 6. Prediction of one-electron electrode potentials of some quinones in dimethylsulfoxide, J. Electroanal. Chem., 2004, 573, 49-53; M. Namazian, P. Norouzi 7. Using Cyclic Voltammetry and Molecular Modeling to Determine Substituent Effects in the One-Electron Reduction of Benzoquinones, J. E. Heffner, J. C. Raber, O. A. Moe, C. T. Wigal, J. Chem Ed., 1998, 75, 3, 365 8. Calculated One-Electron Reduction Potentials and Solvation Structures for Selected p-Benzoquinones in Water; JPCB, 1997, 101,. 623, K. Raymond, A. K. Grafton, R. A. Wheeler 9. A Method for Computing One-Electron Reduction Potentials and Its Application to pBenzoquinone in Water at 300 K, R. A. Wheeler, JACS, 1994, 116, 11048 The main advance in calculations has been in the solvation effects Difference in HOMO/LUMO electron 4. Quantum-Chemical Predictions of Absolute Standard Redox Potentials of Diverse Organic Molecules and Free Radicals in Acetonitrile, JACS, 2005, 127, 7227, Yao Fu, Lei Liu, Hai-Zhu Yu, Yi-Min Wang and QingZiang Guo Computation methods for the solvation effects now allows Relatively good predictions of formal potentials even accounting for Changes in the series structure 1. Accurate Calculation of Absolute One-Electron Redox Potentials of Some para-Quinone Derivatives in Acetonitrile, JPCA, 2007, 111, 7227, Mansoor Namzian and Michelle L. Coote. 0.6 Cl Cl O O 0.4 Cl 0.2 NC Cl O CN O Cl Cl 0 O Cl O CH3 O Computed E O Cl -0.2 O O CH3 -0.4 O O O O Cl Expensive calc. Cl O O H3C -0.6 O O -0.8 CH3 O O O CH3 -1 O NH2 O O -1.2 O -1.4 -1.4 Notice that the amine groups No longer fall out of line! NH2 NH2 O -1.2 -1 -0.8 -0.6 -0.4 -0.2 Experimental E 0 0.2 0.4 0.6 The POINT? Can now calculate Despite major solvation effects! 4. Quantum-Chemical Predictions of Absolute Standard Redox Potentials of Diverse Organic Molecules and Free Radicals in Acetonitrile, JACS, 2005, 127, 7227, Yao Fu, Lei Liu, Hai-Zhu Yu, Yi-Min Wang and Qing-Ziang Guo BQ e Q What accounts for this difference? More difficult to reduce H3C Implies that Cl has ability To stabilize The charge introduced By reduction but CH3 Does not! CH3 duroquinone O O H3C quinone chloranil O -0.26- -0.23 4.52-4.54 0.08-0.1 Cl O O Cl 4.18-4.21 CH3 O Cl VvsNHE eV 4.78 0.34 Cl 1J C 16 . x10 19 C 1eV 1electron 16 . x10 19 J 1V V electron 8. Calculated One-Electron Reduction Potentials and Solvation Structures for Selected p-Benzoquinones in Water; JPCB, 1997, 101,. 623, K. Raymond, A. K. Grafton, R. A. Wheeler Hammet Parameters and Formal Potentials OH H OH O +H+ O RCOO H Ko OH X OX O K log Ko RCOOH +H+ O XRCOO H K XRCOOH As increases greater acid dissociation, Implies negative charge can be more easily stabilized Implies electron withdrawing group A general trend: greater electron withdrawing = easier reduction http://www.wiredchemist.com/chemistry/data/hammett_sigma_constants.html A large list of hammett sigma constants Group σpara σ N ( C H N H O O 3 ) 2 2 H C H 3 OCH2CH3 t-C4H9 CH3 n-C4H9 C2H5 i-C3H7 NHCOCH3 n-C3H7 Si(CH3)3 H2C=CH** C6H5** H m e t - 0 . 8 3 - 0 . 1 5 - 0 . 6 6 - 0 . 1 6 - 0 . 3 7 0 . 1 2 - 0 . 2 7 0 . 1 2 -0.24 -0.2 -0.17 -0.16 -0.15 -0.15 -0.15 -0.13 -0.07 -0.02 -0.01 0 a 0.1 -0.1 -0.07 -0.08 -0.07 -0.07 0.07 -0.07 -0.04 0.05 0.06 0 G r S N o C H u H C σ p H H 2 a 3 O F C p C l SH I Cl Br CHO CO2H** COCH3 CF3 CN NO2** N(CH3)3+ NO r a σ m e t 0 0 . 1 5 0 0 . 1 9 0 . 0 6 0 . 3 4 0 . 1 2 0 . 1 1 0.15 0.18 0.23 0.23 0.42 0.45 0.5 0.54 0.66 0.78 0.82 0.91 a 0.25 0.35 0.37 0.39 0.35 0.37 0.38 0.43 0.56 0.71 0.88 0.62 A good description of the effect of electron withdrawing and donating groups on an arene: http://www.chem.ucalgary.ca/courses/351/Carey5th/Ch12/ch12-8d.html VvsNHE eV H3C CH3 duroquinone O O H3C Electron withdrawing quinone chloranil O 4.52-4.54 0.08-0.1 Cl O O Cl -0.26- -0.23 CH3 O Cl 4.18-4.21 4.78 0.34 Cl Explains the trend: Easier to reduce (less negative potential) with greater Hammet value more electrons withdrawn 7. Using Cyclic Voltammetry and Molecular Modeling to Determine Substituent Effects in the One-Electron Reduction of Benzoquinones, J. E. Heffner, J. C. Raber, O. A. Moe, C. T. Wigal, J. Chem Ed., 1998, 75, 3, 365 0.8 0.6 Cl Cl O Ered, V vs Ag/AgCl 0.4 O NC 0.2 Cl Cl O 0 O Cl O O Cl Cl O -0.2 CN O H3C O O -0.4 H3C O H3C O -0.6 H3C O H3C -1 O CH3 O -0.8 O CH3 -0.5 0 0.5 1 1.5 Hammet parameter, sigma 2 2.5 3 3. Substituent Effect ona Family of Quinones in Aprotic Solvents: An Experimental and Theoretical Approach; JPC A, 2006, 110, 9411; C. Frontana, A. Vazquez-Mayagoitia, J. Garza, R. Vargas, I. Gonzalez 1 Second publication gives exact same trend, but uses different reference Electrode so the value are displaced Ered, V vs Ag/AgCl or Fc 0.5 0 Cl -0.5 O F Same sigma But different Locations on The ring O Cl F Cl O -1 O O F O F Cl -1.5 -1 -0.5 0 0.5 1 1.5 Hammet parameter, sigma 2 2.5 3 OH para O- X X O O OH OH O X ortho +H+ O OH X O X meta para Electron Withdrawing = Easier Reduction The withdrawing effect occurs for a variety of reasons: http://www.chem.ucalgary.ca/courses/351/Carey5th/Ch12/ch12-8d.html Electron Withdrawing Groups “1. Substituents with pi bonds to electronegative atoms (e.g. -C=O, -NO2) adjacent to the pi system are electron withdrawing groups (EWG) - they deactivate the aromatic ring by decreasing the electron density on the ring through a resonance withdrawing effect. The resonance decreases the electron density at the ortho- and para- positions. Hence these sites are less nucleophilic, and so the system tends to react with electrophiles at the meta sites. 2. Substituents with several bonds to electronegative atoms (e.g. -CF3) adjacent to the pi system are electron withdrawing groups (EWG) - they deactivate the aromatic ring by decreasing the electron density on the ring through a inductive withdrawing effect. The net overall effect is similar to that described above for other electron withdrawing groups. 3. Halogen substituents are a little unusual in that they are deactivating but still direct ortho- / para-. The reason is that they are both inductive electron withdrawing (due to their electronegativity) but they are also resonance donating (lone pair donation). The inductive effect lowers the reactivity of the starting material but the resonance effect controls the regiochemistry due the stability of the intermediate carbocations.” Electron Donating 1. “Substituents with lone pairs (e.g. -OCH3, -NH2) on the atoms adjacent to the p system are electron donating groups (EDG) - they activate the aromatic ring by increasing the electron density on the ring through a resonance donating effect. The resonance effect only allows electron density to be positioned at the ortho- and para- positions. Hence these sites are more nucleophilic, and the system tends to react with electrophiles at these ortho- and para- sites. 2. Alkyl substituents (e.g. -CH3, -CH2CH3) are also electron donating groups - they activate the aromatic ring by increasing the electron density on the ring through an inductive donating effect. This is the same effect that allows alkyl groups to stabilise simple carbocations. They overall effect is similar to that described above. 3. Substituents with C=C (e.g. -vinyl or -aryl) are also electron donating groups - they activate the aromatic ring by a resonance donating effect. This is a similar effect to that for type 1 except that the electrons are from a bonded pair not a lone pair.” Because of these variety of mechanisms – it is not possible to necessarily assume that there is an equivalent rise in the HOMO with a decrease in the LUMO – such that easier to reduce = easier to oxidize This principle is Demonstrated in the Next study Daminelli, J. Chem. Phys., Vol. 115, No. 10, 8 September 2001 Withdrawing: here generally shifts both HOMO/LUMO down so these should be harder to oxidize and easier to reduce Group N ( C H N H O O 3 ) 2 2 H C H 3 OCH2CH3 t-C4H9 CH3 n-C4H9 C2H5 i-C3H7 NHCOCH3 n-C3H7 Si(CH3)3 H2C=CH** C6H5** H σpara σ m . e t 5 0 . 8 3 - - 0 . 6 6 - - 0 . 3 7 0 . 1 2 - 0 . 2 7 0 . 1 2 -0.24 -0.2 -0.17 -0.16 -0.15 -0.15 -0.15 -0.13 -0.07 -0.02 -0.01 0 0 1 - 0 . 1 a 6 0.1 -0.1 -0.07 -0.08 -0.07 -0.07 0.07 -0.07 -0.04 0.05 0.06 0 G r S N o C H u C σ p H H H 2 a O C r a 0 0 F C p 3 l SH I Cl Br CHO CO2H** COCH3 CF3 CN NO2** N(CH3)3+ NO σ m e t 0 . 1 5 0 . 1 9 0 . 0 6 0 . 3 4 0 . 1 2 0 . 1 1 0.15 0.18 0.23 0.23 0.42 0.45 0.5 0.54 0.66 0.78 0.82 0.91 Donating: here generally Shifts both HOMO/LUMO Up so these should be easier to oxidize and harder to reduce a 0.25 0.35 0.37 0.39 0.35 0.37 0.38 0.43 0.56 0.71 0.88 0.62 P-sigma: 0.66 0.5 ? 0.78 -0.83 -0.66 -0.27 0 Thus far…… Eo correlates with HOMO/LUMO EA IP Hammett parameters One more important correlation – very significant for photoelectrochemistry: pi-pi* optical transitions The optical transition should be correlated to the difference in HOMO/LUMO…. which is correlated to the difference between Eox and Ered hv E E o ox o red a HOMO b a' LUMO b' LUMO, Ered p p HOMO, Eox This equation shows that the relationship between the observed wavelength And the formal potentials is complicated by solvation energies: h E o R R 5 fluorancene 0.618 delta E =3.68 lambda= 277 4.5 4 3.5 log E 3 biphenyl m=0.704 deltaE=4.18V lamba=246 nm anthracene m=0.414 delta E=2.8 lambda=362 or344 2.5 2 1.5 phenanthene m=0.605 delta E =3.69 lambda=249 1 0.5 0 220 240 260 280 300 320 340 360 380 400 nm UV-Vis spectra is from the NIST webbook data base http://webbook.nist.gov/chemistry/ (Should get a much better correlation With more pi pi* transitions) 400 350 hV, nm 300 250 y = -89.041x + 602.93 R2 = 0.8921 200 150 2 2.5 3 3.5 Delta E 4 4.5 Streitwieser, 1962 2 Oxidation ~ HOMO 1.5 1 0.5 E vs SCE 0 0 -0.5 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 Pi-pi* wavelength -1 -1.5 -2 -2.5 -3 absolute value m Reduction ~ LUMO Metal phthalocyanines (porphyrins) as a good example class 1. Metal centered electron transfer (d orbitals) 2. Ligand centered electron transfer (HOMO/LUMO) Quinone On Graphite electrode wave O O graphite Metal phthalocyanines (porphyrins) as a good example class 1. Metal centered electron transfer (d orbitals) 1. Shifted by ligand strength (electron withdrawing donating toward the Nitrogens 2. Ligand centered electron transfer (HOMO/LUMO) Cobalt metalloporphyrins 1. Shifted by sigma parameters Of interest in Vitamin B 3. Related to spectroscopic transitions calculated Metal centered Ligand centered Experimental By spectroscopy Metal centered redox chemistry of substituted cobalt phthalocyanines adsorbed on graphite and correlations with MO calculations and Hammett parameters. Electrocatalytic reduction of a disulfide, Zagal et al Polyhedron 19 2000, 2255. Vitamin B12 is a cobalt phtalocyanin Cyanocobalamin 5,6-dimethylbenzimidazolylcanocobamide CN Co3+ +e ? N http://www.3dchem.com/imagesofmolecules/vitaminb12.gif What do you think will happen from what we have learned so far? 1. Co2+ less able to hold ligand 2. Following chemical reaction (substitution by water) CN CN +e +e Co2+ Co3+ N CN Ered,on N Co2+ Ered,L N H2O CN CN CN +e Co3+ Co2+ Ered,off H2O H2O N N Ered,on<<Ered,off +e Co2+ Ered,L H2O N H O Co 2 CN L N off Co 2 CN L N on 2 Co 3 CN L( N on ) e 2 Co 3 CN L( N on ) e Co CN L N on Co 2 CN L N on H2 O Co 2 CN L H2 O( N off ) fast H O e Co 3 CN L N off 2 Example using the potentials shifts for a sensor Notice it is shifted from Zero because of Electron withdrawing Effect of porphyrin 810 370 630 280 Irreversible formation of isoporphyrin Ring ring interaction Bucher et al Chem Comm. 2003 Shape reflects the individual Binding strengths effect on electron N pyridine N imidazole N H N H3C N H D-methylimidazole Effect of non-bonding electrons? High HOMO or NBMO = easier oxidation LUMO NBMO HOMO OH Benzene phenol SH Benzenethiol NH2 aniline Montilla Electrochimica Acta, 2002, 47, 4399 Benzene Phenol Aniline V vs NHE=~1.5 An example of this NHE 0 ~1.5 Ag/AgCl +0.197 ~1.05 OH SCE +0.2412 ~1.259 You calc this 1.0058 ~0.92 Do you notice anything Diagnostic about these CVs? Oliviera, Chemosphere 2007, 66, 2152 Boron Doped Diamond Electrode NH2 V vs Ag/AgCl~ 1.05 Vs SCE~0.92 An examples of this Direct CV of benzenethiol and aniline are Difficult to get because the resulting radicals Polymerize so here are some corresponding IP Of substituted anthracene which should follow same rend Ionization potential 7.4eV SH Eberson, L. Electron-Transfer Reactions in Organic Chemistry, 1982, 79-185 NH2 Kim, JACS 2006 One Last Example of HOMO/LUMO correlations Oxygen p orbital overlap with Si-C sigma Bond is at a maximum when Si-C-O-H bond Angle is 90o Mixing of the bonds results in A different HOMO of higher Energy: Predict – Easier Oxidation With rotation Yoshida, J.; Maekawa, T. Murata, T.; Matsunaga, S.; and Isoe, S. JACS, 1990, 112, 1962-1970 Some Rules of Thumb ? Some Rule of Thumbs? 1. Ease of oxidation related to HOMO. The higher the HOMO, easier to oxidize (less positive Eox) 2. HOMO energy related to delocalization. Sigma bonds least delocalized, lowest HOMO, hardest to oxidize (Most positive Eox) a) Sigma hardest i. affected by hybridization involved. b) pi easier i. pi electrons within a ring are generally stable unless activated by electron donors c) n (non bonding) easiest of all 3. Molecules with heteroatoms contain Non-Bonding Molecular Orbitals lying above HOMO – easiest to oxidize a) Availability of NBMO electrons related to electronegativity of first row elements (C>N>O) 4. General relationship – harder to oxidize harder to reduce (lower the HOMO, higher the LUMO) 5. Dispersing charge across the molecule enhances the stability of the system Summary Points thus far Metal complex oxidation/reduction kinetics fit d/d induced bond length changes Potential related to attraction between metal and ligand 1) Dq (driven by crystal field splitting) of Mn+ or 2) Ligand …Metal covalent bond Ligand oxidation reduction related to resonance substituents END here SAWYER PROPOSES Metal solid oxidations are facilitated by solvent oxidation (electron donation to the metal) electrolyte anion oxidation ligand electron donation. N N 7.6V Ligand oxidation is 2.32V vs NHE Removal of an electron (IP) from d6sp would Require 7.9eV activation energy Fe II bpy3 Fe II bpy 3 Fe( III )bpy3 2 3 e 3 +N N -e N N Fe(II) Fe(II) + N -e Fe(II) N N Fe(III) N Measure of the covalent bond between The metal (III) center and the ligand 250 200 Co Cu(II) delta G (kJ/mol) O 150 O N O N 100 O Fe H3C 50 OH CH3 Mn N N 0 -2.5 -2 -1.5 -1 -0.5 delta E (V) Sawyer shows a nice correlation between the difference in oxidation potential and the Ligand M(III) binding energy – consistent with their theory 0