Abstract
In contrast to reactions at metal electrodes, charge transfer processes at semiconductor electrodes can be controlled by light excitation if minority carriers are involved. Since electron and hole transfer always occur via one of the energy bands, valuable information on the energy parameters determining the reaction rates can be obtained. In the present paper, models of the charge transfer processes at semiconductor electrodes are presented, and the kinetics of various reactions in the dark and under illumination are discussed in detail. During the last decade it has become very popular to investigate photoinduced charge transfer reactions at small semiconductor particles, i.e. at micoroheterogeneous systems, because of the large surface area. Here, various fundamental processes in suspensions or colloidal solutions are compared with corresponding reactions at extended electrodes. Finally, several applications of photoinduced reactions at semiconductor electrodes and particles are briefly described.
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Gerischer H (1960) (Z Phys Chem N F) 26: 223; 26: 325: (1961) 27: 48
Marcus RA (1964) Ann Rev Phys Chem 15: 155
Dogonadze RR, Kuznetsov AM, Chizmadzhev (1964) Russ I Phys Chem 38: 652
Levich VG (1966) In: Delahay P, Tobias CW (eds) Advances in electrochemistry and electrochemical engineering. Wiley Interscience, New York, vol 4, p 249
Gerischer H (1970) In: Eyring M, Jos W, Henderson D, (eds) Physical chemistry, Academic, New York, vol 4 A, p 463
Memming R (1979) In: Bard AJ (ed) Electroanalytical chemistry. Marcel Dekker, New York vol 11, p 1
Morrison SR (1980) Electrochemistry at semiconductor and oxidized metal electrodes. Plenum, New York
Gomes WP, Cardon F (1982), Progr Surf Sci 12: 155
Pleskov Yu V (1980) In: Conway BE, Bockris IO'M, Yeager E (eds) Comprehensive treatise of electrochemistry. Plenum, New York, vol 1, p 291
Memming R (1983) in: Conway BE, Bockris IOM, Yeager E (eds) Comprehensive treatise of electrochemistry. Plenum, New York, vol 7, p 529
Pleskov Yu V; Gurevick YU (1986) Semiconductor Photoelectrochemistry, Consultant Bureau, New York
Jaegermann W, Tributsch H (1988) Prog Surf Sci 29: 1
Fujishima A, Honda K (1972) Nature 238: 37
Gerischer H, Willig F (1976) In: Topics in current chemistry. Springer, Berlin Heidelberg New York, vol 61, p 33
Memming R (1984) Progr Surf Sci 17: 7
Henglein A (1988) Topics of curr chem 143: 113
Henglein A (1989) Chem Rev 89: 1861
Bahnemann DW (1991) In: Pelizzetti E, Schiavello M (eds) Photochemical conversion and storage of solar energy, Kluwer, The Netherlands, p 251
Kittel Ch (1976) Introduction to solid state physics. John Wiley, New York
Sze S (1981) Physics of semiconductor devices, 2nd edn. John Wiley, New York
Brillson LI (1982) Surf Sci Rep 2: 123
Zimann IM (1972) Principles of theory of solids. Cambridge University Press, Cambridge, UK
Pankove IL (1971) Optical Processes in semiconductors. Prentice Hall, Englewood Cliffs, UK
Knox RS, Dexter KL (1965) Excitons, New York
Gutmann F, Lyons LE (1967) Organic semiconductors. John Wiley, New York
Berry CR (1967) Phys Rev 161: 611
Meehan EI, Miller IK (1968) J Phys Chem 72: 1523
Fojtik A, Weller H, Koch U, Henglein A (1984) Ber Bunsenges Phys Chem 88: 969
Rossetti R, Ellison IL, Gibson IM, Brus LE (1984) J Chem Phys 80: 4464
Chestnoy N, Hall R, Brus LE (1986) J Chem Phys 85: 2237
Weller H, Fojtik A, Henglein A (1985) Chem Phys Lett 117: 485
Brus LE (1986) J Phys Chem 90: 2555
Bawendi MG, Steigerwald ML, Brus LE (1990) Annu Rev Phys Chem 41: 477
Schmidt HM, Weller H (1986) Chem Phys Lett 129: 615
Weller H, Schmidt HM, Koch U, Fojtik A, Baral S, Henglein A, Kunath W, Weiss K, Dieman E (1986) Chem Phys Lett 124: 557
Bahnemann DW, Kormann C, Hoffmann MR (1987) J Phys Chem 91: 3789
Atkins PW (1978) Physical chemistry. Oxford University Press, Oxford, UK
Hodes G, Albu-Yaron A, Decker F, Motisuke P (1987) Phys Rev B 36: 4215
Hodes G, Howell IDJ, Peter LM (1992) J Electrochem Soc 139: 3136
Ekimor AI, Onushchenko AA (1984) Pisma Zh Eksp Teor Fis 40: 337
Wang Y, Herron N (1987) J Phys Chem 91: 257
Dingle R (1975) In: Queisser HI (ed) Advances in solid state physics. Pergamon Viehweg, Braunschweig, vol 53, p 136
Gerischer H (1960) Z Phys Chem NF 26: 232 and 325; (1961): 27: 48
Möllers F, Memming R (1976) Ber Bunsenges Phys Chem 76: 469
Memming R, Möllers F (1976) Ber Bunsenges Phys Chem 76: 475
Memming R (1969) J Electrochem Soc 116: 785
Lohmann F (1966) Ber Bunsenges Phys Chem 70: 428
Bolts IM, Wrighton MS (1976) J Phys Chem 80: 2641
Pleskov Yu V (1973) Prog Surf Membr Sci 7: 57
Memming R, Schwandt G (1968) Electrochem Acta 13: 1299
Van den Berghe RAL, Cardon F, Gomes WP (1973) Surf Sci 39: 368
Gerischer H, Mindt W (1966) Surface Sci 4: 440
Gerischer H, Hoffmann-Perez M, Mindt W (1965) Ber Bunsenges Phys Chem 69: 130
Memming R, Neumann G (1969) J Electroanal Chem Interfac Electrochem 21: 295
Schröder K, Memming R (1985) Ber Bunsenges Phys Chem 89: 385
Meissner D, Memming R, Kastening B (1988) J Phys Chem 92: 3476
Meissner D, Benndorf C, Memming R (1987) Appl Surf Sci 27: 423
Rimmasch J (1992) Die Untersuchung von Ladungstransferprozessen an der Phasengrenze TiO2/Electrolyt. Thesis, University of Hamburg, Germany
Lewerenz HJ, Gerischer H, Lübke M (1984) J Electrochem Soc 131: 100
Mc Evoy AI, Etman M, Memming R (1985) Electroanal Chem 190: 225
Bard AI, Bocarsly AB, Fan F, Walton EW, Wrighton MS (1980) J Am Chem Soc 102: 3671
Ennaoui A, Tributsch H (1986) J Electrochem Soc 204: 185
Mishra KK, Osseo-Asare K (1992) J Electrochem Soc 139: 749
Fantini MCA, Shen WM, Tonkiewicz M, Gambino JP (1989) J Appl Phys 65: 4884
Ba B, Fotouhi BB, Gabouze N, Gorochov O, Cachet H (1993) J Electroanal Chem, 334, 263
Dutoit EC, Cardon F, Gomes WP (1976) Ber Bunsenges 80: 475
Kiwiet NJ, Fox MA (1990) J Electrochem Soc 137: 1240
Memming R, Kelly JJ (1980) Connolly (ed), Photochemical conversion and storage of solar energy. Academic Press, New York, p 243
Kelly JJ, Memming R (1982) J Electrochem Soc 129: 730
Mc Intyre R, Gerischer H (1985) Ber Bunsenges Phys Chem 88: 963
Van den Meerakker JEAM (1985) Electrochim Acta 30: 435
Allongue P, Cachet H (1985) Sol State Electron 55: 44
Lincot D, Vedel J (1987) J Electroanal Chem 220: 179
Van den Meerakker JEAM, Kelly JJ, Notten PHL (1985) J Electrochem Soc 132: 638
Meissner D, Lauermann I, Memming R, Kastening B (1988) J Phys Chem 92: 3484
Scholz GA, Gerischer H (1992) J Electrochem Soc 139: 165
Sinn Ch, Meissner D, Memming R (1990) J Electrochem Soc 137: 168
Kühne HM, Tributsch H (1986) J Electroanal Chem 201: 263
Meissner D, Memming R (1988) In: Grassi G, Hall DO (eds) Photocatalytic production of energy-rich compounds. Elsevier, London, p 138
Jägermann W, Kühne HM (1986) Appl Surf Sci 26: 1
Dogonadze RR, Kutzenov (1983) In: Conway BE, Bockris JOM, Yeager E, Khan SUM, White RE (eds) comprehensive treatise of electrochemistry, vol 7
Schefold J, Kühne HM (1991) J Electroanal Chem 300: 211
Memming R (1987) Ber Bunsenges Phys Chem 91: 353
Reichman J (1980) Appl Phys Lett 36: 574
Gärtner WW (1959) Phys Rev 116: 84
Butler MA (1977) J Appl Phys 48: 1914
Wilson RH (1977) J Appl Phys 48: 4292
Memming R (1991) In: Pelizzetti E, Schiavello M (eds) Photochemical conversion and storage of solar energy. Kluwer, The Netherlands, p 193
Shockley W (1950) Electrons and Holes in Semiconductors, Van Norstrand, New York
Williams F, Nozik AI (1984) Nature 311: 5989
Reineke R, Memming R (1989) In: Hall DO, Grassi G (eds) Photo conversion pro-cesses for energy and chemicals. Elsevier, Essex, UK, p 129
Reineke R, Memming R (1992) J Phys Chem 96: 1310
Vanmaekelbergh D, Gomes WP, Cardon F (1982) J Electrochem Soc 129: 564
Lu Shou Yun, Vanmaekelbergh D, Gomes WP (1987) Ber Bunsenges Phys Chem 91: 390
Vanmaekelbergh D, Lu Shou Yun, Gomes WP (1987) J Electroanal Chem 221: 187
Notten PHL (1987) Electrochim Acta 32: 575
Notten PHL, Kelly JJ (1987) J Electrochem Soc 134: 444
Kelly JJ, Reynders AC (1987) Appl Surf Sci 29: 149
Notten PHL, Damen AAJM (1987) Appl Surf Sci 28: 331
Notten PHL (1984) J Electrochem Soc 131: 2641
Inoue T, Watanabe T, Fujishima A, Honda, K, Kohayakawa (1977) J Electrochem Soc 124: 719
Memming R (1977) Ber Bunsenges Phys Chem 81: 732
Memming R (1978) J Electrochem Soc 125: 117
Gerischer H (1977) J Electrochanal Chem 82: 133
Bard AJ, Wrighton MS (1977) In: Heller A (ed) Semiconductor-liquid junctions. Electrochemical Society, Princeton NY, Proc. vol 77-3, p 195
Gerischer H (1979) In: Seraphin BO (ed) Topics in appl physics. Springer, Berlin Heidelberg New York, p 115
Gerischer H, Mindt W (1968) Electrochim Acta 13: 1329
Memming R, Schwandt G (1966) Surf Sci 5: 97
Frese K, Madou MJ, Morrison SR (1980) J Phys Chem 84: 3172; (1981) J Electrochem Soc 128: 1528
Gerischer H, Lübke M (1983) Ber Bunsenges Phys Chem 87: 123
Memming R (1985) In: Schiavello (ed) Photoelectrochemistry, photocatalysis and photoreactors. D. Reidel, Dordrecht, p 107
Cardon F, Gomes WP, Kerchove F, Vanmaekelbergh D, v. Overmeire F (1980) Faraday Discussions 70: 153
Memming R (1988) In: Topics in current chemistry. Springer Verlag, Berlin, vol 143, p 79
Menezes S, Miller B (1983) J Electrochem Soc 130: 517
Gomes WP, v. Overmeire F, Vanmaekelbergh D, v. d. Kerchove F, Cardon F (1981) In: Nozik AJ (ed) Photophysics at semiconductor-elektrolyte interfaces. ACS-Series No. 146, p 120
Vanmaekelbergh D, Gomes WP (1990) J Phys Chem 94: 1571
Meissner D, Sinn Ch, Memming R, Notten PHL, Kelly JJ (1986) In: Pelizzetti E, Serpone N (eds) Homogeneous and heterogeneous photocatalysis. D Reidel, The Netherlands, p 343
Allongue P, Blonkowsky S, Lincot D (1991) J Electroanal Chem 300: 261
Tributsch H (1977) Ber Bunsenges Phys Chem 81: 361
Tributsch H, Bennett JC (1977) J Electroanal Chem 81: 97
Tributsch H (1982) In: Structure and bonding. Springer, Berlin Heidelberg, New York, vol 49, p 129
Kautek W, Gerischer H (1982) Surf Sci 119: 46
Kautek W, Gerischer H (1981) Electrochim Acta 26: 1771
Kautek W, Willig F (1981) Elektrochim Acta 26: 1709
Tributsch H (1979) Sol Energy Mat 1, 257
Hale JM (1971) In: Hush NS (ed) Reactions of molecules at electrodes. Wiley, New York, p 229
Vetter K (1961) Elektrochemische Kinetik, Springer, Berlin Heidelberg New York
Lewis NS (1991) Ann Rev Phys Chem 42: 543
Marcus RA (1990) J Phys Chem 94: 4152 and 94: 7742
Gerischer H (1991) J Phys Chem 95: 1356
Morrison SR (1969) Surf Sci 15: 363
Marcus RA (1990) J Phys Chem 94: 1050
Gurevich Yu Ya, Pleskov Yu V (1982) Elektrokhimiya 18: 1477
Reineke R, Memming R (1992) J Phys Chem 96: 1317
Uhlendorf I, Rimmasch J, Reineke R, Meissner D (1991), presented at the 42nd Meeting of the Internat Soc of Electrochem, Montreux
Meissner D, Memming R (1992) Electrochim Acta 37: 799
Allongue P, Blonkowski S, Souteyrand E (1992) Electrochim Acta 37: 781
Rosenwaks Y, Thacker BR, Ahrenkiel RK, Nozik AJ (1993) Nature, in press
Minks BP, Oskam G, Vanmaekelbergh D, Kelly JJ (1989) J Electroanal Chem 273: 119
Minks BP (1991) Photoetching of GaAs: The Cathodic Reaction. Thesis, University of Utrecht (Holland)
Uhlendorf I, Reineke R, Memming R (publication in preparation)
Nozik AJ (1993) Second Internat Conference on solar energy storage and appl photochemistry (cairo), Proc (in press)
Rosenbluth ML, Lieber CM, Lewis NS (1984) Appl Phys Lett 45: 423
Rosenbluth ML, Lewis NS (1986) J Am Chem Soc 108: 4689
Lewis NS (1990) Acc Chem Res 23: 176
Kumar A, Lewis NS (1991) J Phys Chem 95: 7021
Kobayashi H, Tsubomura H (1989) J Electroanal Chem 272: 37
Kobayashi H, Chigami A, Takeda N, Tsubomura H (1990) J Electroanal Chem 287: 239
Memming R (1969) J Electrochem Soc 116: 785
Beckmann KH, Memming R (1969) J Electrochem Soc 116: 368
Memming R, Möllers F (1972) Ber Bunsenges Phys Chem 76: 609
Gerischer H, Müller N, Haas O (1981) J Electroanal Chem 119: 41
Notten PHL (1987) J Electroanal Chem 224: 211
Kelly JJ, Minks BP, Verhaegh AM, Stumper J, Peter LM (1992) Electrochim Acta 37: 909
Morrison SR, Freund T (1968) Electrochim Acta 13: 1343
Morrison SR, Freund T (1967) J Chem Phys 47: 1543
Micka K, Gerischer H (1972) J Electroanal Chem 38: 397
Yamagata S, Nakabayashi S, Sancier KM, Fujishima A (1988) Bull Chem Soc Jap 61: 3429
Hykaway N, Sears WM, Morisaki H, Morrison SR (1986) J Phys Chem 90: 6663
Lee J, Kato T, Fujishima A, Honda K (1984) Bull Chem Soc Jap 57: 1179
Lilie J, Beck G, Henglein A (1971) Ber Bunsenges Phys Chem 75: 458
Maeda Y, Fujishima A, Honda K (1981) J Electrochem Soc 128: 1731
Williams F, Nozik AJ (1978) Nature 271: 137
Ross RT, Nozik AJ (1982) J Appl Phys 53: 3813
Cooper G, Turner JA, Parkinson BA, Nozik AJ (1983) J Appl Phys 54: 6463
Boudreaux DS, Williams F, Nozik AJ (1980) J Appl Phys 51: 2158
Turner JA, Nozik AJ (1982) Appl Phys Lett 41: 101
Koval CA, Segar PR (1989) J Am Chem Soc 111: 2004
Frese KW, Chen C (1992) J Electrochem Soc 139: 3234
Chen C, Frese KW (1992) J Electrochem Soc 139: 3243
Fox MA (1987) In: Topics in current chemistry. Springer Verlag, vol 143: 42
Grätzel M, Frank AJ (1982) J Phys Chem 86: 2964
Minoura H, Katoh Y, Sugiura T, Ueno Y, Matsui M, Shibata K (1990) Chem Phys Lett 173: 220
Minoura H, Inayoshi N, Ueno Y, Matsui M, Shibata K (1992) J Electroanal Chem 332: 279
Wolf K, Bahnemann DW (publication in preparation)
Bahnemann DW, Henglein A, Spanhel L (1984) Faraday Discuss Chem Soc 78: 151
Rothenburger G, Moser I, Grätzel M, Serpone N, Sharma DK (1985) J Am Chem Soc 107: 8054
Baral S, Fojtik A, Weller H, Henglein A (1986) J Am Chem Soc 108: 375
Chen G, Zen IM, Fan F, Bard AI (1991) J Phys Chem 95: 3682
Nedeljkovic IM, Nenadovic MT, Micic OI, Nozik AJ (1986) J Phys Chem 90: 12
Micic OI, Rajh T, Comor MV (1992) In: Mackay RA, Texter J (eds) Electrochemistry in colloids and dispersions. VCH, New York (USA), p 457
Kraeutler B, Bard AJ (1977) J Am Chem Soc 99: 7729; (1978) 100: 5985
Meissner D, Memming R, Kastening B (1983) Chem Phys Lett 96: 34
Kormann C, Bahnemann DW, Hoffmann MR (1990) Langmuir 6: 555
Kormann C, Bahnemann DW, Hoffmann MR (1991) Environ Sci Techn 25: 494
Henglein A, Gutiérrez M (1983) Ber Bunsenges Phys Chem 87: 852
Müller B, Majoni S, Meissner D (publication in preparation)
Yanagida S, Ishimaru Y, Miyake Y, Shiragami T, Pac C, Hashimoto K, Sakata T (1989) J Phys 93: 2576
Müller B (1993) Photoeletrochem Untersuchungen an Halbleiterteilchen unterschiedlicher Größe Thesis, University of Hamburg (Germany)
Henglein A, Gutiérrez M, Fischer CH (1984) Ber Bunsenges Phys Chem 88: 170
Inoue H, Torimoto T, Sakata T, Mori H, Yoneyama H (1990) Chem Lett 1483
Tributsch H (1982) In: Solar energy materials, structure and bonding. Springer, Berlin Heidelberg New York, vol 49, p 127
Lewis NS (1984) Ann Rev Mater Sci 14: 95
Hodes G (1985) In: Grätzel M (ed) Energy resources through photochemistry and catalysis. Academic, New York, p 521
Memming R (1990) In: Rabek JF (ed) Photochemistry and photophysics. CRC Boca Raton (USA), vol II, p 143
Tributsch H (1988) In: Schiavello (ed) New trends and applications of photocatalysis and photochemistry for environmental problems. D. Reidel. Dordrecht (Holland), p 297
Honda K, Fujishima A, Watanabe T (1982) In: Ohta T (ed) Solar hydrogen energy systems. Pergamon Press, Oxford, UK, p 137
Memming R (1991) In: Pelizzetti E, Schiavello M (eds) Photochemical conversion and storage of solar energy. Kluwer (Holland), p 193
Ennaoui A, Tributsch H (1986) Sol Energy Mat 14: 461
Ennaoui A, Fiechter S, Pettenhofer Ch, Allonso-Vante N, Büker K, Bronold M, Höpfner C, Tributsch H (1993) In: Solar energy materials and solar cells, in press
Tributsch H, Calvin M (1971) Photochem Photobiol 14: 95
Matsumura N, Nomura Y, Tsubomura H (1977) Bull Chem Soc Jap 50: 2533
Alonso N, Beley VM, Chartier P, Erns N (1981) Rev Phys Appl 16: 5
Stalder C, Augustynsky J (1979) J Electrochem Soc 126: 2007
Desilvestro I, Grätzel M, Kavau L, Moser I, Augustynsky J (1985) J Am Chem Soc 107: 2988
O'Regan B, Grätzel M (1991) Nature 353: 737
Mavroides JG, Dafalos JA, Kolesar DF (1976) Appl Phys Lett 28: 241
Nozik AJ (1975) Nature 257: 5527
Yeh LSR, Hackermann N (1977) J Electrochem Soc 124: 833
Piazza S, Kühne HM, Tributsch H (1985) J Electroanal Chem 196: 53
Vogel R Pohl K, Weller H (1990) Chem Phys Lett 174: 241
Ennaoui A, Fiechter S, Tributsch H, Giersig M, Vogel R, Weller H (1992) J Electrochem Soc 139: 2514
Sayama K, Tanaka A, Domen K, Maruya K, Onishi T (1991) J Phys Chem 95: 1345
Kudo A, Sayama K, Tunaka A, Asakura K, Domen K, Maruya K, Onishi T (1989) J Catalysis 120: 337
Lauermann I, Meissner D, publication in preparation
Meissner D (1992) In: Veziroglu TN, Derive C, Pottier I (eds), Hydrogen energy progress IX, Proc 9th World Hydrogen Energy Conf Paris, vol 1, p 517
Nakato Y, Ueda K, Yano H, Tsubomura H (1988) J Phys Chem 92: 2316
Kormann C, Bahnemann DW, Hoffmann MR (1989) J Photochem Photobiol, A: Chemistry 48: 161
Bahnemann DW, Bockelmann D, Goslich R (1991) Solar Energy Mat 24: 564
Gerischer H, Heller A (1991) J Phys Chem 95: 5261
Gerischer H, Heller A (1992) J Electrochem Soc 139: 113
Bahnemann DW, Bockelmann D, Hilgendorff M, Weichgrebe D, Goslich R (1993) In: Ollis D, Al-Ekabi H (eds) TiO2 photocatalytic purification and treatment of water and air. Elsevier Science Publishers Amsterdam, in press
Jackson NB, Wang CM, Luo Z, Schwitzgebel J, Eckerdt JG, Brock JR, Heller A (1991) J Electrochem Soc 138: 3660
Möllers F, Tolle HJ, Memming R (1974) J Electrochem Soc 121: 1160
Jacobs JWM (1986) J Phys Chem 90: 6507
Jacobs JWM (1988) Laser initiated metal deposition on semiconductors from aqueous solutions. Thesis, University of Eindhoven (Holland)
Lauermann I, Meissner D, Memming R (1988) In: Ginley DS et al (eds) Proc. of the symposium of photoelectrochemistry and electrosynthesis on semiconductor materials. Proc vol 88-14, the Electrochemical Society, Pennington, NY, p 190
Kobayashi T, Taniguchi Y, Yoneyama H, Tamura H (1983) J Phys Chem 87: 768
Richter W, Rimmasch J, Kastening B, Memming R, Meissner D (1991) In: Datta M, Sheppard K, Snyder D (eds) Electrochemical Microfabrication, Proc. vol 2–3, The Electrochemical Society, Pennigton, NY, p 149
Ostermayer FW, Kohl PA, Burton RH (1983) Appl Phys Lett 43: 642
Kelly JJ, Notten PHL (1984) Electrochim Acta 29: 589
Kelly JJ, van den Meerakker JEAM, Notten PHL (ed) (1986) In: Behrens H (ed) Grundlagen von elektrodenreaktionen, dechema monographien. Verlag Chemie, vol 102, p 453
Minks BP, Vanmaekelbergh D, Kelly JJ (1989) J Electroanal Chem 273: 133
van de Ven J, Nabben HJP (1990) J Appl Phys 67: 7572
Ollis DF (1985) Environ Sci Technol 19: 486
Serpone N (1989) In: Norris JR, Meisel D (eds) Photochemical energy conversion. Elsevier, New York, p 297
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Memming, R. (1994). Photoinduced charge transfer processes at semiconductor electrodes and particles. In: Mattay, J. (eds) Electron Transfer I. Topics in Current Chemistry, vol 169. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-57565-0_75
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