References
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2. Voet D, Voet J (2004) Biochemistry, 3rd edn. Wiley, New York
3. Baker EN (2006) Int Tables Crystallogr F:546–552
4. Graham JD, Buytendyk AM, Wang D, Bowen KH, Collins KD (2013) Biochemistry 53:344
5. DeCoursey TE (2003) Physiol Rev 83:475
6. Garczarek F, Gerwert K (2006) Nature 439:109
7. Lee J, Kim CH, Joo T (2013) J Phys Chem A 117:1400–1405
8. Pimentel GC, McClellan AL (1960) The hydrogen bond. Freeman and Company, San
Francisco
9. Hilbert GE, Wulf OR, Hendricks SB, Liddel U (1936) J Am Chem Soc 58:548–555
10. Ellis JW (1939) J Am Chem Soc 51:1384
11. Schwarz HA (1980) J Chem Phys 72:284–287
12. Price JM, Crofton MW, Lee YT (1989) J Chem Phys 91:2749–2751
13. Price JM, Crofton MW, Lee YT (1989) J Chem Phys 95:2182–2195
14. Roscioli JR, McCunn LR, Johnson MA (2007) Science 316:249–254
15. Scheiner S, Harding LB (1981) J Am Chem Soc 103:2169–2173
16. Asada T, Haraguchi H, Kitaura K (2001) J Phys Chem A 105:7423–7428
17. Yang Y, Kühn O (2011) Chem Phys Lett 505:1–4
18. Asmis KR, Yang Y, Santambrogio G, Brümmer M, Roscioli JR, McCunn LR, Johnson MA,
Kühn O (2007) Angew Chem Int Ed 46:8691–9694
19. Yang Y (2008) PhD Dissertation, Freie Universität Berlin
20. Ishibashi H et al (2008) Chem Phys Chem 9:383
21. Frisch MJ, Trucks GW, Schlegel HB, Scuseria GE, Robb MA, Cheeseman JR, Scalmani G,
Barone V, Mennucci B, Petersson GA, Nakatsuji H, Caricato M, Li X, Hratchian HP,
Izmaylov AF, Bloino J, Zheng G, Sonnenberg JL, Hada M, Ehara M, Toyota K, Fukuda R,
Hasegawa J, Ishida M, Nakajima T, Honda Y, Kitao O, Nakai H, Vreven T, Montgomery JA,
Jr.,Peralta JE, Ogliaro F, Bearpark M, Heyd JJ, Brothers E, Kudin KN, Staroverov VN,
Kobayashi R, Normand J, Raghavachari K, Rendell A, Burant JC, Iyengar SS, Tomasi J, Cossi
M, Rega N, Millam JM, Klene M, Knox JE, Cross JB, Bakken V, Adamo C, Jaramillo J,
Gomperts R, Stratmann RE, Yazyev O, Austin AJ, Cammi R, Pomelli C, Ochterski JW,
Martin RL, Morokuma K, Zakrzewski VG, Voth GA, Salvador P, Dannenberg JJ, Dapprich S,
Daniels AD, Farkas O, Foresman JB, Ortiz JV, Cioslowski J, Fox DJ (2009) Gaussian, Inc.,
Wallingford. Gaussian 09, Revision A.02
22. Tuckerman ME, Marx D, Klein ML, Parrinello (1996) J Chem Phys 104:5579
23. Marx D, Tuckerman ME, Hutter J, Parrinello M (1999) Nature 397:601
24. Grotendorst J, Marx D, Muramatsu A (2002) Path integration via molecular dynamics. In: Von
Neumann J (ed) Quantum simulations of complex many-body systems: from theory to
algorithms, vol 10. Institute for Computing, Julich, p 269
25. Simons J, Nichols J (1997) Quantum mechanics in chemistry. Oxford University Press,
New York
26. Ratner MA, Schatz GC (2000) Introduction to quantum mechanics in chemistry. Prentice Hall,
Englewood Cliffs
Proton Quantum Confinement on Symmetric …
89
1. Cleland WW, Kreevoy MM (1994) Science 264:1887
2. Voet D, Voet J (2004) Biochemistry, 3rd edn. Wiley, New York
3. Baker EN (2006) Int Tables Crystallogr F:546–552
4. Graham JD, Buytendyk AM, Wang D, Bowen KH, Collins KD (2013) Biochemistry 53:344
5. DeCoursey TE (2003) Physiol Rev 83:475
6. Garczarek F, Gerwert K (2006) Nature 439:109
7. Lee J, Kim CH, Joo T (2013) J Phys Chem A 117:1400–1405
8. Pimentel GC, McClellan AL (1960) The hydrogen bond. Freeman and Company, San
Francisco
9. Hilbert GE, Wulf OR, Hendricks SB, Liddel U (1936) J Am Chem Soc 58:548–555
10. Ellis JW (1939) J Am Chem Soc 51:1384
11. Schwarz HA (1980) J Chem Phys 72:284–287
12. Price JM, Crofton MW, Lee YT (1989) J Chem Phys 91:2749–2751
13. Price JM, Crofton MW, Lee YT (1989) J Chem Phys 95:2182–2195
14. Roscioli JR, McCunn LR, Johnson MA (2007) Science 316:249–254
15. Scheiner S, Harding LB (1981) J Am Chem Soc 103:2169–2173
16. Asada T, Haraguchi H, Kitaura K (2001) J Phys Chem A 105:7423–7428
17. Yang Y, Kühn O (2011) Chem Phys Lett 505:1–4
18. Asmis KR, Yang Y, Santambrogio G, Brümmer M, Roscioli JR, McCunn LR, Johnson MA,
Kühn O (2007) Angew Chem Int Ed 46:8691–9694
19. Yang Y (2008) PhD Dissertation, Freie Universität Berlin
20. Ishibashi H et al (2008) Chem Phys Chem 9:383
21. Frisch MJ, Trucks GW, Schlegel HB, Scuseria GE, Robb MA, Cheeseman JR, Scalmani G,
Barone V, Mennucci B, Petersson GA, Nakatsuji H, Caricato M, Li X, Hratchian HP,
Izmaylov AF, Bloino J, Zheng G, Sonnenberg JL, Hada M, Ehara M, Toyota K, Fukuda R,
Hasegawa J, Ishida M, Nakajima T, Honda Y, Kitao O, Nakai H, Vreven T, Montgomery JA,
Jr.,Peralta JE, Ogliaro F, Bearpark M, Heyd JJ, Brothers E, Kudin KN, Staroverov VN,
Kobayashi R, Normand J, Raghavachari K, Rendell A, Burant JC, Iyengar SS, Tomasi J, Cossi
M, Rega N, Millam JM, Klene M, Knox JE, Cross JB, Bakken V, Adamo C, Jaramillo J,
Gomperts R, Stratmann RE, Yazyev O, Austin AJ, Cammi R, Pomelli C, Ochterski JW,
Martin RL, Morokuma K, Zakrzewski VG, Voth GA, Salvador P, Dannenberg JJ, Dapprich S,
Daniels AD, Farkas O, Foresman JB, Ortiz JV, Cioslowski J, Fox DJ (2009) Gaussian, Inc.,
Wallingford. Gaussian 09, Revision A.02
22. Tuckerman ME, Marx D, Klein ML, Parrinello (1996) J Chem Phys 104:5579
23. Marx D, Tuckerman ME, Hutter J, Parrinello M (1999) Nature 397:601
24. Grotendorst J, Marx D, Muramatsu A (2002) Path integration via molecular dynamics. In: Von
Neumann J (ed) Quantum simulations of complex many-body systems: from theory to
algorithms, vol 10. Institute for Computing, Julich, p 269
25. Simons J, Nichols J (1997) Quantum mechanics in chemistry. Oxford University Press,
New York
26. Ratner MA, Schatz GC (2000) Introduction to quantum mechanics in chemistry. Prentice Hall,
Englewood Cliffs
Proton Quantum Confinement on Symmetric …
89