本論文是針對一套創新的切片式螢光成像實驗所發展的理論架構。此成像方法是在流動槽環境中，利用雙共振實驗技巧，獲取三維牛頓球的中央切片影像，研究包括光解、彈性及非彈性碰撞之動態過程。為了了解反應的動態資訊，並考慮熱運動對牛頓球殼厚度的影響，推導出成像的中央切片強度公式理論架構，用來分析實驗的成像，可獲得反應的動態資訊，譬如微分截面，以探討光啟動化學的動態過程。

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摘要 I
目錄 II
圖目 IV
表目 VI
壹、緒論 1
一、化學動態學的發展 1
二、動態學的理論框架 5
貳、實驗 7
參、理論架構 11
　一、空間中牛頓球的座標定義 11
二、中央切片影像的數學表示式 16
三、中央切片強度公式的推導 20
四、考慮熱運動的影響 24
肆、結果與討論 30
一、後續反應牛頓球在XZ平面上的截面 30
二、中央切片成像的模擬 31

伍、結論 42
陸、參考資料 42

[1] J. C. Polanyi, Angew. Chem. Int. Ed. Engl.,1987, 26, 952.
[2] D. R. Herschbach, Angew. Chem. Int. Ed. Eng., 1987, 26, 1221
[3] Y. T. Lee, Science, 1987, 236, 793.
[4] R. N. Zare and P. J. Dagdigian, Science, 1974, 185, 739.
[5] J. L. Kinsey, Annu. Rev. Phys. Chem., 1977, 28, 349.
[6] M. N. R. Ashfold, S. G. Clement, J. D. Howe, and C. M. Western, J. Chem. Soc. Faraday Trans., 1993, 89, 1153.
[7] M. N. R. Ashfold and J. D. Howe, Annu. Rev. Phys. Chem., 1994, 45, 57.
[8] K. Liu, Annu. Rev. Phys. Chem., 2001, 52, 139.
[9] K. Liu, J. Chem. Phys., 2006, 125, 132307.
[10] N. E. Shafer-Ray, A. J. Orr-Ewing, and R. N. Zare, J. Phys. Chem., 1995, 99, 7591.
[11] T. P. Rakitzis, S. A. Kandel, and R. N. Zare, J. Chem. Phys., 1997, 107, 9382.
[12] J. L. Kinsey, J. Chem. Phys., 1977, 66, 2560.
[13] G. E. Hall and P. L. Houston, Annu. Rev. Phys. Chem., 1989, 40, 375.
[14] M. Brouard and J. P. Simons, “The stereodynamics of photon initiated bimolecular reactions”, in The Chemical Dynamics and Kinetics of Small Radicals, Part II, ed. K. Liu and A. Wagner, World Scientific, Singapore, 1995, pp. 795-841
[15] W. R. Simpson, A. J. Orr-Ewing, T. P. Rakitzis, S. A. Kandel, and R. N. Zare, J. Chem. Phys., 1995, 103, 7299.
[16] A. J. Orr-Ewing, and R. N. Zare, “Orientation and alignment of the product of bimolecular reactions”, in The Chemical Dynamics and Kinetics of Small Radicals, Part II, ed. K. Liu and A. Wagner, World Scientific, Singapore, 1995, pp. 936-1063
[17] D. W. Chandler and P. L. Houston, J. Chem. Phys., 1987, 87, 1445.
[18] A. J. R. Heck and D. W. Chandler, Annu. Rev. Phys. Chem., 1995, 46, 335.
[19] A. T. J. B. Eppink and D. H Parker, Rev. Sci. Instrum., 1997, 68, 3477.
[20] L. H. Lai, D. C. Che, and K. Liu, J. Phys. Chem., 1996, 106, 6376.
[21] S. H. Lee and K. Liu, “Doppler-selected time- of- flight technique: A versatile three-dimensional velocity mapping approach”, in Modern Trends in Chemical Reaction Dynamics, Part II, ed. X.Yang and K. Liu, World Scientific, Singapore, 2004, pp. 1-42
[22] C. R. Gebhardt, T. P. Rakitzis, P. C. Samartzis, V. Ladopoulos, and T. N. Kitsopoulos, Rev. Sci. Instrum., 2001, 72, 3848.
[23] J. J. Lin, J. Zhou, W. Shiu, and K. Liu, Rev. Sci. Instrum., 2003, 74, 2495.
[24] D. Townsend, M. P. Minitti, and A. G. Suits, Rev. Sci. Instrum., 2003, 74, 2530.
[25] K. Chen, Chem. Phys. Lett., 1992, 198, 288.
[26] K. Chen and C. Pei, Chem. Phys. Lett., 1994, 217, 471.
[27] K. Chen, C. Kuo, M. Tzeng, M. Shian, and S. Chung, Chem. Phys. Lett., 1994, 221, 341.
[28] Y. W. Chen, T. H. Yang and K. M. Chen, Phys. Chem. Chem. Phys., 2009, 11, 7111.
[29] N. E. Shafer, A. J. Orr-Ewing, W. R. Simpson, H. Xu, and R. N. Zare, Chem. Phys. Lett., 1993, 212, 155.
[30] W. R. Simpson, A. J. Orr-Ewing, and R. N. Zare, Chem. Phys. Lett., 1993, 212, 163.
[31] N. E. Shafer, H. Xu, R. P. Tuckett, M. Sprinfer, and R. N. Zare, J. Phys. Chem., 1994, 98, 3369.
[32] F. J. Aoiz, M. Brouard, P. A. Euriquez, and R. Sayos, J. Chem. Soc. Faraday Trans., 1993, 89, 1427.
[33] F. J. Aoiz, M. Brouard, and P. A. Euriquez, J. Chem. Phys., 1996, 105, 4964.
[34] M. Brouard, D. W. Hughes, K. S. Kalogerakis, and J. P. Simons, J. Chem. Phys., 2000, 112, 4557.
[35] M. Brouard, P. O’Keeffe, and C. Vallance, J. Phys. Chem. A, 2002, 106, 3629.
[36] M. J. Bass, M. Brouard, A. P. Clark, and C. Vallance, J. Chem. Phys., 2002, 117, 8723.
[37] M. J. Bass, M. Brouard, C. Vallance, T. N. Kitsopoulos, P. C. Samartzis, and R. L. Toomes, J. Chem. Phys., 2004, 121, 7175.
[38] M. J. Bass, M. Brouard, R. Cirease, A. P. Clark, and C. Vallance, J. Chem. Phys., 2005, 123, 094301.