Abstract
The bis(μ-oxo)/μ-η2:η2-peroxo equilibria for seven supported Cu2O2 cores were studied with different hybrid and nonhybrid density functional theory models, namely, BLYP, mPWPW, TPSS, TPSSh, B3LYP, mPW1PW, and MPW1K. Supporting ligands 3,3′-iminobis(N,N-dimethylpropylamine), N,N,N′,N′,N″-pentamethyldipropylenetriamine, N-[2-(pyridin-2-yl)ethyl]-N,N,N′-trimethylpropane-1,3-diamine, bis[2-(2-pyridin-2-yl)ethyl]methylamine, bis[2-(4-methoxy-2-pyridin-2-yl)ethyl]methylamine, bis[2-(4-N,N-dimethylamino-2-pyridin-2-yl)ethyl]methylamine, and 1,4,7-triisopropyl-1,4,7-triazacyclononane were chosen on the basis of the availability of experimental data for comparison. Density functionals were examined with respect to their ability accurately to reproduce experimental properties, including, in particular, geometries and relative energies for the bis(μ-oxo) and side-on peroxo forms. While geometries from both hybrid and nonhybrid functionals were in good agreement with experiment, the incorporation of Hartree–Fock (HF) exchange in hybrid density functionals was found to have a large, degrading effect on predicted relative isomer energies. Specifically, hybrid functionals predicted the μ-η2:η2-peroxo isomer to be too stable by roughly 5–10 kcal mol−1 for each 10% of HF exchange incorporated into the model. Continuum solvation calculations predict electrostatic effects to favor bis(μ-oxo) isomers by 1–4 kcal mol−1 depending on ligand size, with larger ligands having smaller differential solvation effects. Analysis of computed molecular partition functions suggests that nonzero measured entropies of isomerization are likely to be primarily associated with interactions between molecular solutes and their first solvation shell.
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References
Bertini I, Gray HB, Stiefel EI, Valentine JS (eds) (2007) Biological inorganic chemistry. University Science Books, Sausalito, pp 338–413
Solomon EI, Baldwin MJ, Lowery MD (1992) Chem Rev 92:521–542
Kitajima N, Moro-oka Y (1994) Chem Rev 94:737–757
Fox S, Karlin KD (1995) In: Valentine JS, Foote CS, Greenberg A, Liebman JF (eds) Active oxygen in biochemistry. Blackie/Chapman & Hall, Glasgow, pp 188–231
Kaim W, Rall J (1996) Angew Chem Int Ed Engl 35:43–60
Klinman JP (1996) Chem Rev 96:2541–2562
Solomon EI, Sundaram UM, Machonkin TE (1996) Chem Rev 96:2563–2605
Solomon EI, Chen P, Metz M, Lee SK, Palmer AE (2001) Angew Chem Int Ed Engl 40:4570–4590
Gamez P, Koval IA, Reedijk J (2004) Dalton Trans 4079–4088
Mirica LM, Ottenwaelder X, Stack TDP (2004) Chem Rev 104:1013–1045
Solomon EI, Tuczek F, Root DE, Brown CA (1994) Chem Rev 94:827–856
Cole AP, Mahadevan V, Mirica LM, Ottenwaelder X, Stack TDP (2005) Inorg Chem 44:7345–7364
Kitajima N, Fujisawa K, Fujimoto C, Morooka Y, Hashimoto S, Kitagawa T, Torinmi K, Tatsumi K, Nakamura A (1992) J Am Chem Soc 114:1277–1291
Mahapatra S, Halfen JA, Wilkinson EC, Pan G, Cramer CJ, Que L, Tolman WB (1995) J Am Chem Soc 117:8865–8866
Tolman WB (1997) Acc Chem Res 30:227–237
Lewis EA, Tolman WB (2004) Chem Rev 104:1047–1076
Holland PL, Tolman WB (1999) Coord Chem Rev 192:855–869
Halfen JA, Mahapatra S, Wilkinson EC, Kaderli S, Que L, Zuberbühler AD, Tolman WB (1996) Science 271:1397–1400
Cahoy J, Holland PL, Tolman WB (1999) Inorg Chem 38:2161–2168
Que L, Tolman WB (2002) Angew Chem Int Ed Engl 41:1114–1137
Hatcher LQ, Karlin KD (2004) J Biol Inorg Chem 9:669–683
Pidcock E, DeBeer S, Obias HV, Hedman B, Hodgson KO, Karlin KD, Solomon EI (1999) J Am Chem Soc 121:1870–1878
Liang HC, Zhang CX, Henson MJ, Sommer RD, Hatwell KR, Kaderli S, Zuberbühler AD, Rheingold AL, Solomon EI, Karlin KD (2002) J Am Chem Soc 124:4170–4171
Henson MJ, Vance MA, Christina XZ, Liang HC, Karlin KD, Solomon EI (2003) J Am Chem Soc 125:5186–5192
Liang HC, Henson MJ, Hatcher LQ, Vance MA, Zhang CX, Lahti D, Kaderli S, Sommer RD, Rheingold AL, Zuberbühler AD, Solomon EI, Karlin KD (2004) Inorg Chem 43:4115–4117
Hatcher LQ, Vance MA, Narducci Sarjeant AA, Solomon EI, Karlin KD (2006) Inorg Chem 45:3004–3013
Mizuno M, Hayashi H, Fujinami S, Furutachi H, Nagatomo S, Otake S, Uozumi K, Suzuki M, Kitagawa T (2003) Inorg Chem 42:8534–8544
Mahadevan V, Henson MJ, Solomon EI, Stack TDP (2000) J Am Chem Soc 122:10249–10250
Liang H-C, Zhang CX, Henson MJ, Sommer RD, Hatwell KR, Daderli S, Zuberbuehler AD, Rheingold AL, Solomon EI, Karlin KD (2002) J Am Chem Soc 124:4170–4171
Stack TDP (2003) Dalton Trans 1881–1889
Costas M, Ribas X, Poater A, LopezValbuena JM, Xifra R, Company A, Duran M, Sola M, Llobet A, Corbella M, Uson MA, Mahia J, Solans X, Shan X, Benet-Buchholz J (2006) Inorg Chem 45:3569–3581
Company A, Lamata D, Poater A, Sola M, Rybak-Akimova EV, Que L, Fontrodona X, Parella T, Llobet A, Costas M (2006) Inorg Chem 45:5239–5241
Cramer CJ, Smith BA, Tolman WB (1996) J Am Chem Soc 118:11283–11287
Mahapatra S, Halfen JA, Wilkinson EC, Pan G, Wang X, Young VG, Cramer CJ, Que L, Tolman WB (1996) J Am Chem Soc 118:11555–11574
Bérces A (1997) Inorg Chem 36:4831–4837
Yoshizawa K, Ohta T, Yamabe T (1997) Bull Chem Soc Jpn 70:1911–1917
Flock M, Pierloot K (1999) J Phys Chem A 103:95–102
Henson MJ, Mukherjee M, Root DE, Stack TDP, Solomon EI (1999) J Am Chem Soc 121:10332–10345
Holland PL, Cramer CJ, Wilkinson EC, Mahapatra S, Rodgers KR, Itoh S, Taki M, Fukuzumi S, Que L, Tolman WB (2000) J Am Chem Soc 122:792–802
Lam BMT, Halfen JA, Young VG Jr, Hagadorn JR, Holland PL, Lledos A, Cucurull-Sanchez L, Novoa JJ, Alvarez S, Tolman WB (2000) Inorg Chem 39:4059–4072
Siegbahn PEM (2003) J Biol Inorg Chem 8:577–585
Rode MF, Werner HJ (2005) Theor Chem Acc 114:309–317
Cramer CJ, Wloch M, Piecuch P, Puzzarini C, Gagliardi L (2006) J Phys Chem A 110:1991–2004
Cramer CJ, Kinal A, Wloch M, Piecuch P, Gagliardi L (2006) J Phys Chem A 110:11557–11568
Aboelella NW, Gherman BF, Hill LMR, York JT, Holm N, Young VG Jr, Cramer CJ, Tolman WB (2006) J Am Chem Soc 128:3445–3458
Kowalski K, Piecuch PJ (2000) Chem Phys 113:5644–5652
Piecuch P, Kowalski K (2000) In: Leszczynski J (ed) Computational chemistry: reviews of current trends, vol 5. World Scientific, Singapore, pp 1–104
Kowalski K, Piecuch PJ (2000) Chem Phys 113:18–35
Piecuch P, Kowalski K, Pimienta ISO, McGuire MJ (2002) Int Rev Phys Chem 21:527–655
Piecuch P, Pimienta ISO, Fan PD, Kowalski K (2003) In: Maruani J, Lefebvre R, Brändas E (eds) Progress in theoretical chemistry and physics, vol 12. Kluwer, Dordrecht, pp 119–206
Piecuch P, Kowalski K, Pimienta ISO, Fan PD, Lodriguito M, McGuire MJ, Kucharski SA, Kus T, Musial M (2004) Theor Chem Acc 112:349–393
Dolg M, Wedig U, Stoll H, Preuss HJ (1987) Chem Phys 86:866–872
Hehre WJ, Radom L, Schleyer PvR, Pople JA (1986) Ab initio molecular orbital theory. Wiley, New York
Dunning TH (1989) J Chem Phys 90:1007–1023
Woon DE, Dunning TH (1995) J Chem Phys 103:4572–4585
Becke AD (1988) Phys Rev A 38:3098–3100
Lee C, Yang W, Parr RG (1988) Phys Rev B 37:785–789
Perdew JP (1991) In: Ziesche P, Eschrig H (eds) Electronic structure of solids ‘91. Akademie, Berlin, pp 11–20
Perdew J, Wang Y (1992) Phys Rev B 45:13244–13249
Adamo C, Barone VJ (1998) Chem Phys 108:664–675
Tao J, Perdew JP, Staroverov VN, Scuseria GE (2003) Phys Rev Lett 91:146401
Becke AD (1993) J Chem Phys 98:5648–5652
Staroverov VN, Scuseria GE, Tao J, Perdew JP (2003) J Chem Phys 119:12129–12137
Stephens PJ, Devlin FJ, Chabalowski CF, Frisch MJ (1994) J Phys Chem 98:11623–11627
Lynch BJ, Fast PL, Harris M, Truhlar DG (2000) J Phys Chem A 104:4811–4815
Cramer CJ (2004) Essentials of computational chemistry, 2nd edn. Wiley, Chichester
Ziegler T, Rauk A, Baerends EJ (1977) Theor Chim Acta 43:261–271
Yamaguchi K, Jensen F, Dorigo A, Houk KN (1988) Chem Phys Lett 149:537–542
Lim MH, Worthington SE, Dulles FJ, Cramer CJ (1996) In: Laird BB, Ross RB, Ziegler T (eds) Chemical applications of density functional theory, vol 629. American Chemical Society, Washington, pp 402–422
Isobe H, Takano Y, Kitagawa Y, Kawakami T, Yamanaka S, Yamaguchi K, Houk KN (2002) Mol Phys 100:717–727
Gräfenstein J, Cremer D (2001) Mol Phys 99:981–989
Frisch MJ, Trucks GW, Schlegel HB, Scuseria GE, Robb MA, Cheeseman JR, Montgomery JA Jr, Vreven T, Kudin KN, Burant JC, Millam JM, Iyengar SS, Tomasi J, Barone V, Mennucci B, Cossi M, Scalamani G, Rega N, Petersson GA, Nagatsuji H, Hada M, Ehara M, Toyota K, Fukuda R, Hasegawa J, Ishida M, Nakajima T, Honda Y, Kitao O, Nakai H, Klene M, Li X, Knox JE, Hratchian HP, Cross JB, Adamo C, Jaramillo J, Gomperts R, Stratmann RE, Yazyev O, Austin AJ, Cammi R, Pomelli C, Ochterski JW, Ayala PY, Morokuma K, Voth GA, Salvador P, Dannenberg JJ, Zakrzewski VG, Dapprich S, Daniels AD, Strain MC, Farkas O, Malick DK, Rabuck AD, Raghavachari K, Foresman JB, Ortiz JV, Cui Q, Baboul AG, Clifford S, Cioslowski J, Stefanov BB, Liu G, Liashenko A, Piskorz P, Komaromi I, Martin RL, Fox DJ, Keith T, Al-Laham MA, Peng CY, Nanayakkara A, Challacombe M, Gill PMW, Johnson B, Chen W, Wong MW, Gonzalez C, Pople JA (2003) Gaussian 03, revisions C.01 and D.01. Gaussian, Wallingford
Miertus S, Scrocco E, Tomasi J (1981) J Chem Phys 55:117–129
Cramer CJ, Truhlar DG (eds) (1994) Structure and reactivity in aqueous solution, ACS symposium series 568. American Chemical Society, Washington, pp 10–23
Cossi M, Scalamani G, Rega N, Barone VJ (2002) Chem Phys 117:43–54
Mennucci B, Tomasi J (1997) J Chem Phys 106:5151–5158
Cancés MT, Mennucci B, Tomasi J (1997) J Chem Phys 107:3032–3041
Cossi M, Barone V, Mennucci B, Tomasi J (1998) Chem Phys Lett 286:253–260
Barone V, Cossi M, Tomasi J (1997) J Chem Phys 107:3210–3221
Kelly CP, Cramer CJ, Truhlar DG (2006) J Phys Chem B 110:16066–16081
Liu X-Y, Palacios AA, Novoa JJ, Alvarez S (1998) Inorg Chem 37:1202–1212
Acknowledgements
This work was supported by the National Science Foundation (CHE-0610183), the Arnold and Mabel Beckman Foundation, and the University of Minnesota Gleysteen Chemistry Summer Research Program. We thank Ben Gherman for technical assistance and Bill Tolman, Ken Karlin, Laura Gagliardi, Piotr Piecuch, and Kristin Pierloot for stimulating discussions.
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Lewin, J.L., Heppner, D.E. & Cramer, C.J. Validation of density functional modeling protocols on experimental bis(μ-oxo)/μ-η2:η2-peroxo dicopper equilibria. J Biol Inorg Chem 12, 1221–1234 (2007). https://doi.org/10.1007/s00775-007-0290-2
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DOI: https://doi.org/10.1007/s00775-007-0290-2