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研究生: 鄭君平
Cheng, Chuen-Ping
論文名稱: 分析鈉分子電子態nd1Δg(n=6,7,8)的Λ雙重簡併
Studying the degeneracy of Λ-doubling in Na2 nd1Δg(n=6,7,8) states
指導教授: 黃守仁
Whang, Thou-Jen
蔡錦俊
Tsai, Chin-Chun
學位類別: 碩士
Master
系所名稱: 理學院 - 化學系
Department of Chemistry
論文出版年: 2011
畢業學年度: 93
語文別: 中文
論文頁數: 95
中文關鍵詞: 雷射光譜Λ-簡併雙光子共振光譜鈉分子
外文關鍵詞: Na2, laser spectroscopy, Λ-degenerate, OODR
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  •   本實驗利用雙光子共振光譜法(Optical–Optical Double Resonance, OODR)來偵測雙原子鈉分子其g (gerade) 對稱的高能位單重態(singlet state)。首先使用氬離子雷射將雙原子鈉分子由基態(X1Σg+)激發到B1Πu電子態,再使用染料雷射(R6G)將雙原子鈉分子由B1Πu電子態激發至欲偵測之上態。而偵測方法,則是偵測鈉分子從高能位的單重態經由碰撞後到高能位的三重態,再躍遷回a3Σu+電子態的螢光訊號。

      實驗中,共偵測得到6d1Δg電子態88個振轉能階,其中包括43個e-level和45個f-level,振動能階值v=0~11,而轉動能階分佈在J=11~83。7d1Δg電子態79個振轉能階,其中包括51個e-level和28個f-level,振動能階值v=0~10,而轉動能階分佈在J=11~83。8d1Δg電子態49個振轉能階,其中包括30個e-level和19個f -level,振動能階值v=0~10,而轉動能階分佈在J=11~65。將偵測所得之實驗數據經計算得到一組分子常數,並建立其RKR位能曲線。

      分析L-耦合分離的部分,6d1Δg電子態的L-偶合分離現象隨著振動和轉動量子數的增加有變明顯的趨勢,7d1Δg電子態L-耦合分離的現象隨著振動量子數的增加有變明顯的趨勢,但在看和轉動量子數的關係時無法判斷其趨勢。8d1Δg電子態L-耦合分離的現象隨著轉動量子數的增加有變明顯的趨勢,但在看和振動量子數的關係時無法判斷其趨勢。

      Using optical-optical double resonance spectroscopy (OODR), three singlet Rydberg electronic states with gerade-symmetry of Na2 have been observed. Na2 molecules were pumped from the X1Σg+ state to the intermediate B1Πu state by a single line Ar+ laser. Then, the ring dye laser(operated with R6G dye) further probed molecules from the intermediate B1Πu state to the higher excited states. The transitions can be described as:
    B1Πu(v’, J’) ← X1Σg+ (v”, J”) + hν1
    nd1∆g(n=6,7,8) ← B1Πu(v’, J’) + hν2
     
     Some triplet Rydberg states were populated from the singlet states probed via collision energy transfer. The violet fluorescence from those triplet electronic states to a3Σu+ state was monitored by a filtered- PMT.

     We have observed 88 rovibrational levels in the 6d1Δg state, which includes 43 e-levels and 45 f-levels with the vibrational and rotational quantum in the range of 0≦v≦11 and 11≦J≦83, respectively. We have observed 79 rovibrational levels in the 7d1Δg state, which includes 51 e-levels and 28 f-levels with the vibrational and rotational quantum in the range of 0≦v≦10 and 11≦J≦83, respectively. We have observed 49 rovibrational levels in the 8d1Δg state, which includes 30 e-levels and 19 f-levels with the vibrational and rotational quantum in the range of 0≦v≦10 and 11≦J≦65, respectively. The Dunham coefficients with Λ-doubling constants and RKR potential energy curve were determined for these states (nd1Δg n=6,7,8).

     In this study, the splitting of Λ-doubling in these states could be measured under our experimental resolution. This splitting is due to the Hund's coupling transition from case (a) to case (d) and should be increased as increasing the principal quantum number n.

    中文摘要.............................I 英文摘要.............................III 目錄.................................V 表目錄...............................VII 圖目錄...............................IX 第一章 緒論..........................1 1-1 雙原子鈉分子雷射光譜的歷史研究簡述......................1 1-2 雙原子鈉分子X1Σg+及B1Πu電子態的研究歷史...............1 1-3 雙原子鈉分子nd1Δg(n=6,7,8)電子態的研究歷史.............2 1-4 分子的L-耦合分離及Λ-簡併態分離研究歷史.................3 1-5 研究動機................................................4 第二章 理論..........................9 2-1 雙原子分子的波函數與能量................................9 2-2 同核雙原子電子態的項符.................................14 2-3 罕德耦合(Hund's coupling cases)........................17 2-4 耦合分離(Uncoupling phenomenon)........................21 2-5 雙原子分子電子態躍遷選擇律(Selection rules)............25 2-6 法蘭克-康登定理........................................26 第三章 實驗..........................28 3-1 實驗裝置與儀器介紹.....................................28 3-2 實驗方法及實驗步驟.....................................37 第四章 結果與討論....................46 4-1 確認訊號為nd1Δg(n=6,7,8)電子態的方式..................46 4-1-1 由文獻得知第一道雷射產生之激發躍遷...................46 4-1-2 確認雙光子共振光譜訊號...............................47 4-1-3 確認6d1Δg電子態之訊號...............................52 4-2 確認7d1Δg電子態之訊號.................................60 4-3 確認8d1Δg電子態之訊號.................................67 4-4 L-耦合分離(L-uncoupling)之分析.........................77 第五章 結論..........................82 參考文獻.............................84 附錄一...............................88

    1. M. E. Kaminsky, R. T. Hawkins, F. V. Kowalski, and A. L. Schawlow, Phys. Rev. Lett. 37, 683 (1976).

    2. K. K. Verma, J. T. Bahns, A. R. Rajaei-Rizi, W. C. Stwalley, and W. T. Zemke, J. Chem. Phys. 78, 3599 (1983).

    3. G. Herzberg, "Molecular Spectra and Molecular Structure: Vol. 1, Spectra of Diatomic Molecules", Robert E. Krieger Publishing Co., Malabar, Florida (1989).

    4. W. T. Zemke and W. C. Stwalley, J. Chem. Phys. 100, 2661 (1994).

    5. K. M. Jones, S. Maleki, S. Bize, and P. D. Lett, C. J. Williams, H. Richling, H. Knockel, E. Tiemman, H. Wang, P. L. Gould, and W. C. Stwalley, Phys. Rev. A 54, 1006 (1996).

    6. G. W. King and J. H. van Vleck, Phys. Rev. 55,1165 (1939).

    7. R. S. Mulliken, Phys. Rev. 120, 1674 (1960).

    8. W. Demtroder and M. Stock, J. Mol. Spectrosc. 55, 476 (1975).

    9. P. Kusch and M. M. Hessel, J. Chem. Phys. 68, 2591 (1978).

    10. W. Demtroder and M. Stock, J. Mol. Spectrosc. 55, 476 (1975).

    11. P. Kusch and M. M. Hessel, J. Chem. Phys. 68, 2591 (1978).

    12. W. Demtroder, M. McClintock, and R. N. Zare, J. Chem. Phys. 51, 5495 (1969).

    13. J. M. L. Poyato, J. J. Camacho, A. M. Polo, and A. Pardo, Spectrochim. Acta 51, 1879 (1995).

    14. J. M. L. Poyato, J. J. Camacho, A. M. Polo, and A. Pardo, Spectrochim. Acta 52, 409 (1996).

    15. J. J. Camacho, J. M. L. Poyato, A. M. Polo, and A. Pardo, J. Quant.Spectrosc. Radiat. Transfer 56, 353 (1996).

    16. J. J. Camacho, A. Pardo, A. M. Polo, D. Reyman, and J. M. L. Poyato, J. Mol. Spectrosc. 191, 248 (1998).

    17. A. Pardo, Chem. Phys. Lett. 309, 55 (1999).

    18. J. J. Camacho, J. Santiago, A. Pardo, D. Reyman, and J. M. L. Poyato, Spectrochim. Acta A 56, 769 (2000).

    19. J. J. Camacho, J. Santiago, A. Pardo, D. Reyman, and J. M. L. Poyato, J. Quant. Spectrosc. Radiat. Transfer 65, 729 (2000).

    20. A. Pardo, J. Mol. Spectrosc. 199, 225 (2000).

    21. J. J. Camacho, A. Pardo, and I. P. Acin, J. Phys. B: At. Mol. Opt. Phys. 34 , 2597 (2001).

    22. N. W. Carlson, A. J. Taylor, K. M. Jones, and A. L. Schawlow, Phys. Rev. A 24, 822 (1981).

    23. A. J. Taylor, K. M. Jones, and A. L. Schawlow, J. Opt. Soc. Am. 73, 994 (1983).

    24. Y. L. Pan, L. S. Ma, L. E. Ding, and D. P. Sun, J. Mol. Spectrosc. 162, 178 (1993).

    25. Y. L. Pan, D. P. Sun, L. S. Ma, L. E. Ding, and Z. G. Wang, J. Mol. Spectrosc. 169, 534 (1995).

    26.莊凱淵,"雙原子鈉分子的(7d)1Δg能態之雙光子共振光譜研究",國立成功大學化學所碩士論文(2000年六月)。

    27.紀兆盈,"雙原子鈉分子(7d)1Δg電子態之雙光子共振光譜研究與D1Πu電子態之探討",國立成功大學化學所碩士論文(2002年六月) 。

    28. S. Magnier, Ph. Millie, O. Dulieu, and F. Masnou-Seeuws, J. Chem. Phys. 98, 7113 (1993).

    29. L. Li, L. Yaoming, and A. M. Lyyra, J. Chin. Chem. Soc. 48, 293 (2001).

    30. F. H. Crawford , T. Jorgensen, and JR. Harvard, Phys. Rev. 45, 736(1934).

    31. M. Tamanis, M. Auzinsh, I. Klincare, O. Nikolayeva, and R. Ferber, Phys. Rev. A 58, 1932 (1998).

    32. S. O. Adamson, A. Zaitsevskii, E. A. Pazyuk, A. V. Stolyarov, M. Tamanis, R. Ferber, and R. Cimiraglia, J. Chem. Phys. 113, 8589 (2000).

    33. Y. Huang and R. J. Le Roy, J. Chem. Phys. 119, 7398(2003).

    34. X. L. Chen, H. M. Chen, J. Li, Y. M. Liu, X. C. Dai, G. H. Sha , J. C. Xie, C. H. Zhang, and Li Li, Chem. Phy. Letters, 318, 107 (2000).

    35. R. Y. Chang, T. J. Whang, C. P. Cheng, and C. C. Tsai,"Observation of L-uncoupling in the Rydberg state of Na2",Submitted to Phys. Rev. A, (2005).
    36. C. E. Moore, Atomic Energy Levels, Vol.I, p89, NSRDS-NBS Washington D.C. (1971).

    37.吳惠雯,"雙原子鈉分子21Δg與31Πg電子態之雙光子共振光譜",國立成功大學化學所碩士論文(2004年六月) 。

    38. L. Li and R. W. Field, J. Mol. Spectrosc. 117, 245(1986).

    39. J. T. Bahns, Ph.D. dissertation, The University of Iowa, Iowa, 1983.

    40.丁勝懋,"雷射工程導論",第三版,中央出版社,1993。

    41. J.I.Steinfeld,”Molecules and Radiation:An Introduction to Modern Molecular Spectroscopy”,1974.

    42. W. C. Martin and R. Zalubas, J. Phys. Chem. Ref. Data 10, 153 (1981).

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