Theoretical analysis of anharmonic coupling and cascading Raman signals observed with femtosecond stimulated Raman spectroscopy

Journal of Chemical Physics

Volumn 131, Issue 24, 2009, Pages

  Mehlenbacher, Randy D ^a   Lyons, Brendon ^a   Wilson, Kristina C ^a   Du, Yong ^a   McCamant, David W ^a  

^a UNIVERSITY OF ROCHESTER   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ANHARMONIC COUPLINGS; CASCADE MECHANISM; CLASSICAL MODEL; COHERENT ANTI-STOKES; COHERENT COUPLING; FEMTOSECOND-STIMULATED RAMAN; FREQUENCY VIBRATION; INTENSITY SIGNAL; LOW FREQUENCY; OPTICAL DENSITIES; PROBE WAVES; RAMAN PROCESS; RAMAN PUMP; RAMAN SIGNAL; SIGNAL FIELDS; STIMULATED RAMAN; STOKES RAMAN SPECTROSCOPY; STRETCHING MODES; THEORETICAL TREATMENTS; THIRD-ORDER; VIBRATIONAL COHERENCES; VIBRATIONAL SIDEBANDS;

CHLORINE COMPOUNDS; FREQUENCY MODULATION; MOLECULAR DYNAMICS; PULSE GENERATORS; PULSED LASER APPLICATIONS; PUMPS; RAMAN SCATTERING;

RAMAN SPECTROSCOPY;

EID: 73649133631     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3276684     Document Type: Article

References (92)

1. J. Dreyer, J. Chem. Phys. 0021-9606 122, 184306 (2005). 10.1063/1.1891727
2. V. M. Kenkre, A. Tokmakoff, and M. D. Fayer, J. Chem. Phys. 0021-9606 101, 10618 (1994) 10.1063/1.467876;
3. I. Navrotskaya and E. Geva, J. Chem. Phys. 0021-9606 127, 054504 (2007). 10.1063/1.2753155 (Pubitemid 47222487)
4. T. Brixner, J. Stenger, H. M. Vaswani, M. Cho, R. E. Blankenship, and G. R. Fleming, Nature (London) 0028-0836 434, 625 (2005) 10.1038/nature03429; (Pubitemid 40488551)
5. R. M. Hochstrasser, N. H. Ge, S. Gnanakaran, and M. T. Zanni, Bull. Chem. Soc. Jpn. 0009-2673 75, 1103 (2002) 10.1246/bcsj.75.1103;
6. J. Zheng, K. Kwak, J. Asbury, X. Chen, I. Piletic, and M. D. Fayer, Science 0036-8075 309, 1338 (2005). 10.1126/science.1116213 (Pubitemid 41209356)
7. J. B. Asbury, T. Steinel, K. Kwak, S. A. Corcelli, C. P. Lawrence, J. L. Skinner, and M. D. Fayer, J. Chem. Phys. 0021-9606 121, 12431 (2004) 10.1063/1.1818107; (Pubitemid 41046241)
8. J. B. Asbury, T. Steinel, and M. D. Fayer, J. Phys. Chem. B 1089-5647 108, 6544 (2004) 10.1021/jp036600c;
9. C. J. Fecko, J. D. Eaves, J. J. Loparo, A. Tokmakoff, and P. L. Geissler, Science 0036-8075 301, 1698 (2003) 10.1126/science.1087251;
10. J. D. Eaves, J. J. Loparo, C. J. Fecko, S. T. Roberts, A. Tokmakoff, and P. L. Geissler, Proc. Natl. Acad. Sci. U.S.A. 0027-8424 102, 13019 (2005). 10.1073/pnas.0505125102 (Pubitemid 41324971)
11. N. Demirdöven, C. M. Cheatum, H. S. Chung, M. Khalil, J. Knoester, and A. Tokmakoff, J. Am. Chem. Soc. 0002-7863 126, 7981 (2004) 10.1021/ja049811j; (Pubitemid 38812790)
12. A. W. Smith, H. S. Chung, Z. Ganim, and A. Tokmakoff, J. Phys. Chem. B 1089-5647 109, 17025 (2005) 10.1021/jp053949m;
13. C. Paul, J. P. Wang, W. C. Wimley, R. M. Hochstrasser, and P. H. Axelsen, J. Am. Chem. Soc. 0002-7863 126, 5843 (2004) 10.1021/ja038869f;
14. C. Fang, J. Wang, Y. S. Kim, A. K. Charnley, W. Barber-Armstrong, A. B. Smith, S. M. Decatur, and R. M. Hochstrasser, J. Phys. Chem. B 1089-5647 108, 10415 (2004) 10.1021/jp049893y;
15. H. Maekawa, C. Toniolo, Q. B. Broxterman, and N. H. Ge, J. Phys. Chem. B 1089-5647 111, 3222 (2007). 10.1021/jp0674874 (Pubitemid 46573469)
16. T. A. Heimer and E. J. Heilweil, Bull. Chem. Soc. Jpn. 0009-2673 75, 899 (2002). 10.1246/bcsj.75.899 (Pubitemid 34670222)
17. D. W. McCamant, P. Kukura, S. Yoon, and R. A. Mathies, Rev. Sci. Instrum. 0034-6748 75, 4971 (2004). 10.1063/1.1807566 (Pubitemid 40001826)
18. P. Kukura, D. W. McCamant, and R. A. Mathies, Annu. Rev. Phys. Chem. 0066-426X 58, 461 (2007). 10.1146/annurev.physchem.58.032806.104456 (Pubitemid 46877598)
19. P. Kukura, R. Frontiera, and R. A. Mathies, Phys. Rev. Lett. 0031-9007 96, 238303 (2006). 10.1103/PhysRevLett.96.238303 (Pubitemid 43909360)
20. A. Laubereau and W. Kaiser, Rev. Mod. Phys. 0034-6861 50, 607 (1978). 10.1103/RevModPhys.50.607
21. J. C. Dèk, L. K. Iwaki, and D. D. Dlott, J. Phys. Chem. A 1089-5639 102, 8193 (1998) 10.1021/jp9822743; D. D. Dlott, Chem. Phys. 0301-0104 266, 149 (2001) 10.1016/S0301-0104(01)00225-7;
22. I. Hartl, P. Gilch, and W. Zinth, Appl. Phys. B: Lasers Opt. 0946-2171 71, 397 (2000);
23. H. Graener, R. Zurl, and M. Hofmann, J. Phys. Chem. B 1089-5647 101, 1745 (1997). 10.1021/jp9624212
24. R. R. Frontiera and R. A. Mathies, J. Chem. Phys. 0021-9606 127, 124501 (2007). 10.1063/1.2780843 (Pubitemid 47502672)
25. K. Wilson, B. Lyons, and D. McCamant, International Conference on Time Resolved Vibrational Spectroscopy, 2009 (unpublished); American Chemical Society National Conference, 2008 (unpublished); Vibrational Spectroscopy Gordon Research Conference, 2008 (unpublished).
26. Z. Sun, B. Fu, D. H. Zhang, and S. -Y. Lee, J. Chem. Phys. 0021-9606 130, 044312 (2009). 10.1063/1.3068709
27. Y. Tanimura and S. Mukamel, J. Chem. Phys. 0021-9606 99, 9496 (1993) 10.1063/1.465484;
28. A. Tokmakoff, M. J. Lang, X. J. Jordanides, and G. R. Fleming, Chem. Phys. 0301-0104 233, 231 (1998) 10.1016/S0301-0104(98)00026-3;
29. T. Steffen and K. Duppen, J. Chem. Phys. 0021-9606 106, 3854 (1997). 10.1063/1.473106
30. S. Mukamel, A. Piryatinski, and V. Chernyak, Acc. Chem. Res. 0001-4842 32, 145 (1999) 10.1021/ar960206y;
31. S. Mukamel, Annu. Rev. Phys. Chem. 0066-426X 51, 691 (2000) 10.1146/annurev.physchem.51.1.691;
32. L. J. Kaufman, J. Heo, L. D. Ziegler, and G. R. Fleming, Phys. Rev. Lett. 0031-9007 88, 207402 (2002) 10.1103/PhysRevLett.88.207402;
33. T. Steffen and K. Duppen, Chem. Phys. Lett. 0009-2614 290, 229 (1998) 10.1016/S0009-2614(98)00469-2;
34. K. Tominaga and K. Yoshihara, Phys. Rev. A 1050-2947 55, 831 (1997) 10.1103/PhysRevA.55.831;
35. K. Tominaga and K. Yoshihara, Phys. Rev. Lett. 0031-9007 76, 987 (1996) 10.1103/PhysRevLett.76.987;
36. Y. L. Li, L. Huang, R. J. D. Miller, T. Hasegawa, and Y. Tanimura, J. Chem. Phys. 0021-9606 128, 234507 (2008) 10.1063/1.2927311;
37. K. J. Kubarych, C. J. Milne, S. Lin, and R. J. D. Miller, Appl. Phys. B: Lasers Opt. 0946-2171 74, s107 (2002). 10.1007/s00340-002-0908-6 (Pubitemid 34964566)
38. D. A. Blank, L. J. Kaufman, and G. R. Fleming, J. Chem. Phys. 0021-9606 111, 3105 (1999). 10.1063/1.479591
39. M. Cho, D. A. Blank, J. Sung, K. Park, S. Hahn, and G. R. Fleming, J. Chem. Phys. 0021-9606 112, 2082 (2000). 10.1063/1.480777
40. L. J. Kaufman, D. A. Blank, and G. R. Fleming, J. Chem. Phys. 0021-9606 114, 2312 (2001) 10.1063/1.1337042; (Pubitemid 32873146)
41. V. Astinov, K. J. Kubarych, C. J. Milne, and R. J. D. Miller, Chem. Phys. Lett. 0009-2614 327, 334 (2000) 10.1016/S0009-2614(00)00819-8;
42. K. J. Kubarych, C. J. Milne, and R. J. D. Miller, Chem. Phys. Lett. 0009-2614 369, 635 (2003). 10.1016/S0009-2614(03)00039-3 (Pubitemid 36198388)
43. K. J. Kubarych, C. J. Milne, S. Lin, V. Astinov, and R. J. D. Miller, J. Chem. Phys. 0021-9606 116, 2016 (2002). 10.1063/1.1429961 (Pubitemid 34159915)
44. K. J. Kubarych, C. J. Milne, and R. J. D. Miller, Int. Rev. Phys. Chem. 0144-235X 22, 497 (2003). 10.1080/0144235031000121544
45. K. Wilson, B. Lyons, R. Mehlenbacher, R. Sabatini, and D. M. McCamant, J. Chem. Phys. 0021-9606 131, 214502 (2009). 10.1063/1.3263909
46. S. Mukamel, Principles of Nonlinear Optical Spectroscopy (Oxford University Press, New York, 1995).
47. M. D. Levenson and S. S. Kano, Introduction to Nonlinear Laser Spectroscopy (Academic, San Diego, CA, 1988).
48. D. Lee and A. C. Albrecht, in Advances in Infrared and Raman Spectroscopy, edited by, R. J. H. Clark, and, R. E. Hester, (Wiley, New York, 1985), Vol. 12, p. 179.
49. P. Kukura, D. W. McCamant, S. Yoon, D. B. Wandschneider, and R. A. Mathies, Science 0036-8075 310, 1006 (2005). 10.1126/science.1118379 (Pubitemid 41611910)
50. I. Chabay, G. K. Klauminzer, and B. S. Hudson, Appl. Phys. Lett. 0003-6951 28, 27 (1976). 10.1063/1.88553
51. J. E. Ivanecky and J. C. Wright, Chem. Phys. Lett. 0009-2614 206, 437 (1993). 10.1016/0009-2614(93)80164-K
52. D. J. Ulness, J. C. Kirkwood, and A. C. Albrecht, J. Chem. Phys. 0021-9606 108, 3897 (1998). 10.1063/1.475837
53. D. A. Blank, L. J. Kaufman, and G. R. Fleming, J. Chem. Phys. 0021-9606 113, 771 (2000). 10.1063/1.481851 (Pubitemid 30904294)
54. G. R. Fleming, D. A. Blank, M. H. Cho, and A. Tokmakoff, in Ultrafast Infrared and Raman Spectroscopy, edited by, M. D. Fayer, (Dekker, New York, 2001).
55. M. D. Levenson and S. Kano, Introduction to Nonlinear Laser Spectroscopy, Revised ed. (Academic, Boston, 1988).
56. M. Yoshizawa, Y. Hattori, and T. Kobayashi, Phys. Rev. B 0163-1829 49, 13259 (1994). 10.1103/PhysRevB.49.13259
57. S. Laimgruber, H. Schachenmayr, B. Schmidt, W. Zinth, and P. Gilch, Appl. Phys. B: Lasers Opt. 0946-2171 85, 557 (2006). 10.1007/s00340-006-2386-8 (Pubitemid 44837364)
58. G. Cerullo and S. De Silvestri, Rev. Sci. Instrum. 0034-6748 74, 1 (2003). 10.1063/1.1523642
59. S. Yamaguchi and H. O. Hamaguchi, Appl. Spectrosc. 0003-7028 49, 1513 (1995) 10.1366/0003702953965434;
60. R. Trebino, K. W. DeLong, D. N. Fittinghoff, J. N. Sweetser, M. A. Krumbugel, B. A. Richman, and D. J. Kane, Rev. Sci. Instrum. 0034-6748 68, 3277 (1997). 10.1063/1.1148286
61. M. J. Frisch, G. W. Trucks, H. B. Schlegel, GAUSSIAN 03, Revision C.02, Gaussian, Inc., Wallingford, CT, 2004.
62. D. Begue, P. Carbonniere, and C. Pouchan, J. Phys. Chem. A 1089-5639 109, 4611 (2005). 10.1021/jp0406114 (Pubitemid 40786042)
63. V. Barone, J. Chem. Phys. 0021-9606 120, 3059 (2004) 10.1063/1.1637580;
64. J. Dreyer, Int. J. Quantum Chem. 0020-7608 104, 782 (2005). 10.1002/qua.20598 (Pubitemid 41305534)
65. V. Barone, J. Chem. Phys. 0021-9606 122, 014108 (2005). 10.1063/1.1824881 (Pubitemid 41047751)
66. S. Y. Lee, D. Zhang, D. W. McCamant, P. Kukura, and R. A. Mathies, J. Chem. Phys. 0021-9606 121, 3632 (2004). 10.1063/1.1777214
67. Y. -X. Yan, J. E. B. Gamble, and K. A. Nelson, J. Chem. Phys. 0021-9606 83, 5391 (1985). 10.1063/1.449708
68. J. C. Kirkwood, D. J. Ulness, A. C. Albrecht, and M. J. Stimson, Chem. Phys. Lett. 0009-2614 293, 417 (1998). 10.1016/S0009-2614(98)00815-X
69. We will use mass-weighted vibrational coordinates throughout, with units of amu1/2 Å.
70. J. A. Cina and T. J. Smith, J. Chem. Phys. 0021-9606 98, 9211 (1993) 10.1063/1.464429;
71. S. Ruhman, A. G. Joly, and K. A. Nelson, IEEE J. Quantum Electron. 0018-9197 24, 460 (1988). 10.1109/3.146 (Pubitemid 18612372)
72. G. P. Zhang and T. F. George, Phys. Rev. Lett. 0031-9007 93, 147401 (2004). 10.1103/PhysRevLett.93.147401
73. E. Gershgoren, Z. H. Wang, S. Ruhman, J. Vala, and R. Kosloff, J. Chem. Phys. 0021-9606 118, 3660 (2003) 10.1063/1.1539844;
74. A. Kahan, O. Nahmias, N. Friedman, M. Sheves, and S. Ruhman, J. Am. Chem. Soc. 0002-7863 129, 537 (2007) 10.1021/ja064910d;
75. M. Kubo, F. Gruia, A. Benabbas, A. Barabanschikov, W. R. Montfort, E. M. Maes, and P. M. Champion, J. Am. Chem. Soc. 0002-7863 130, 9800 (2008) 10.1021/ja800916d;
76. A. T. N. Kumar, F. Rosca, A. Widom, and P. M. Champion, J. Chem. Phys. 0021-9606 114, 701 (2001) 10.1063/1.1329640;
77. F. Rosca, A. T. N. Kumar, D. Ionascu, T. Sjodin, A. A. Demidov, and P. M. Champion, J. Chem. Phys. 0021-9606 114, 10884 (2001) 10.1063/1.1363673; (Pubitemid 32611182)
78. X. O. Ye, A. Demidov, F. Rosca, W. Wang, A. Kumar, D. Ionascu, L. Y. Zhu, D. Barrick, D. Wharton, and P. M. Champion, J. Phys. Chem. A 1089-5639 107, 8156 (2003) 10.1021/jp0276799;
79. I. Iwakura, A. Yabushita, and T. Kobayashi, J. Am. Chem. Soc. 0002-7863 131, 688 (2009) 10.1021/ja801829n;
80. S. Ruhman, B. Kohler, A. G. Joly, and K. A. Nelson, IEEE J. Quantum Electron. 0018-9197 24, 470 (1988) 10.1109/3.147; (Pubitemid 18612373)
81. S. Ruhman and K. A. Nelson, J. Chem. Phys. 0021-9606 94, 859 (1991). 10.1063/1.459975
82. S. Takeuchi, S. Ruhman, T. Tsuneda, M. Chiba, T. Taketsugu, and T. Tahara, Science 0036-8075 322, 1073 (2008). 10.1126/science.1160902
83. S. Seely, Electron-Tube Circuits, 2nd ed. (McGraw-Hill, New York, 1958).
84. C. J. Tranter, Bessel Functions with Some Physical Applications (Hart, New York, 1969).
85. E. B. J. Wilson, J. C. Decius, and P. C. Cross, Molecular Vibrations: The Theory of Infrared and Raman Vibrational Spectra (Dover, New York, 1955).
86. J. L. McHale, Molecular Spectroscopy (Prentice-Hall, Upper Saddle River, NJ, 1999).
87. C. E. Foster, B. P. Barham, and P. J. Reid, J. Chem. Phys. 0021-9606 114, 8492 (2001). 10.1063/1.1362297 (Pubitemid 32512396)
88. D. Bermejo, R. Escribano, and J. M. Orza, J. Raman Spectrosc. 0377-0486 6, 151 (1977). 10.1002/jrs.1250060310
89. C. W. Freudiger, W. Min, B. G. Saar, S. Lu, G. R. Holtom, C. He, J. C. Tsai, J. X. Kang, and X. S. Xie, Science 0036-8075 322, 1857 (2008). 10.1126/science.1165758
90. O. Golonzka, N. Demirdoven, M. Khalil, and A. Tokmakoff, J. Chem. Phys. 0021-9606 113, 9893 (2000). 10.1063/1.1330236 (Pubitemid 32076881)
91. T. C. Jansen, J. G. Snijders, and K. Duppen, J. Chem. Phys. 0021-9606 114, 10910 (2001). 10.1063/1.1374959 (Pubitemid 32611184)
92. P. Kukura and A. Tokmakoff (personal communication).