本篇論文是利用Gaussian 98，以6-31G基底，計算分子RHF型波涵數，並用Weinhold的天然鍵性軌域( NBO )得到定域化鍵性軌域的LCBO( linear combination of bond orbital )數據，根據此鍵性軌域數據，探討delocalized π電子系統( butadiene、hexadiene、diarylethanes及其衍生物 )或含氮未鍵結電子對系統( diaminoethane、pyrazine、DMP+、diazabicyclooctane、azo-compound )及含碳自由基系統( benzyne、pyridinyl )等飽合分子分子內的軌域作用。
LCBO所得到的分子鍵性軌域數據結果顯示，分子內的軌域作用後最大對稱性組成分子軌域能量比最大非對稱性組成分子軌域能量低，分子主要為TSI，而最大非對稱性組成分子軌域能量比最大對稱性組成分子軌域能量低，則分子主要為TBI。
分子內的軌域作用會影響分子內中心鍵鍵結(σ)及反鍵結(σ*)佔有比例，σ%+σ*% < 10%，分子主要為TSI，σ%+σ*% > 10%，分子主要為TBI。同時，具TBI且同類型分子，其中心反鍵結在中心鍵的佔有比例(σ*% /σ% ＋σ*%)變大，中心鍵鍵序值有變小的趨勢。
利用NBO Fock matrix數據可以表現鍵性軌域彼此間的藕合強度，我們發現，兩含未鍵結電子對的原子插入四個(含四個)以上的σ鍵骨架，則分子只可能產生TSI。而NBO Fock matrix數據也可反映出，構形相同的分子上，連接同族且電負度較大的原子，其TBI效應會明顯大於電負度較小的原子。
另外，同一分子不同的構形會造成不同分子內的軌域作用，反式構形，分子主要為TBI，順式構形，則分子主要為TSI。從NBO Fock matrix數據同時可反映出，分子構形一旦越偏離了反式構形，TBI效應會降低，TSI效應開始增強。
利用分子內軌域作用探討有機反應，是一項很有力的解釋。分子內的軌域作用可解釋，同樣進行 [2+2+2]retro-cycloaddition的環己烷橋上連接的參環開環速度會比四環的開環速度來得快，且參環裂解後的產物也比四環穩定，這是因為環己烷橋上若連接的是參環時，產生裂解反應時具有TBI的效應產生。

We use Gaussian 98, 6-31G basis, to calculate the RHF-type wave functions of desired molecules. Also we gain the LCBO(linear combination of bond orbita) data of localized bond orbitals by using Weinhold Natural Bond Orbital (NBO). Based on those data, we make a serious studies on intramolecular orbital interactions of delocalized π-electron systems (ex. butadiene, hexadiene, diarylethanes and their derivatives), non-bonding electron pairs systems of nitro-molecules (ex. diaminoethane, pyrazine, DMP+, diazabicyclooctane, azo-compound), and carbon free radical system (ex. benzyne, pyridinyl).
The data of bond orbitals from LCBO show that after the interaction of orbital within a molecule, the MO potential which composed by symmetrical orbitals of maximum NBO coefficients is lower than that which composed by anti-symmetrical orbitals of maximum NBO coefficients, when TSI are the main part of a molecule. In the other way, when TBI are the main composition of a molecule, the results shown in the data would be opposite to those of TSI.
The intramolecular orbital interactions would affect the occupying
ratio of central bonding (σ) and central antibonding (σ*). σ%+σ*% < 10% , while TSI is the main part of a molecule, σ%+σ*% > 10% , while TBI is the main part of a molecule. Moreover, as the molecule is composed of TBI, the occupying ratio of its central antibonding in central bond(σ*% /σ%＋σ*%) would get larger and the value of bond order is tending to getting smaller.
It can show the coupling strength among the bond orbitals by NBO Fock matrix data. It is discovered that as two atoms composed of lone pairs are inserted into four (or above) σ-bonding framework, TSI can be only produced. On the other hand, the data of NBO Fock matrix also shows that as molecules of the same configuration connect atoms whose electronegativity is larger of the same group, the TBI effect would apparently stronger than those which connect atoms of smaller electronegativity.
In addiion, a molecule in different configurations would couse different intramolecular orbital interactions, TBI is the main part as it is anti-configuration while TSI is to trans configuration. From the data of NBO Fock matrix, as soon as the configuration is tendind to differ from anti-configuration, the TBI effect would get weaker since the TSI effect would be getting stonger.
It is shown to be a powerful tool that we can use the intramolecular orbital interactions to study chemical reactions. The intramolecular orbital interactions can explain that doing [2+2+2]retro-cyclo-addition, in hexamethylene, the three-membered rings connecting the bridge break the ring would faster than four-membered rings. After splitting the triple ring, the products are more stable than those of four-membered rings, which is because if it is three-membered rings to connect the bridge of hexamethylene, TBI effect would occur when splitting is happening.

(1)Hoffmann, R. Acc. Chem. Res. 1971, 4, 1-9.
(2)Sarneel, R.; Worrell, C. W.; Pasman, P.; Verhoeven, J. W.; Mes, G. F.
Tetrahedron 1980, 36, 3241-8.
(3)Pasman, P.; Rob, F.; Verhoeven, J. W. J. Am. Chem. Soc. 1982, 104, 5127-33.
(4)Paddon-Row, M. N. Acc. Chem. Res. 1982, 15, 245.
(5)Balaji, V.; Jordan, K. D.; Burrow, P. D.; Paddon-Row, M. N.; Patney, H. K. J. Am. Chem. Soc. 1982, 104, 6849-51.
(6)Calcaterra, L. T.; Closs, G. L.; Miller, J. R. J. Am. Chem. Soc. 1983, 105, 670-1.
(7)Balaji, V.; Jordan, K. D.; Gleiter, R.; Jaehne, G.; Mueller, G. J. Am. Chem. Soc. 1985, 107, 7321-3.
(8)Verhoeven, J. W.; Paddon-Row, M. N.; Hush, N. S.; Oevering, H.; Heppener, M. Pure Appl. Chem. 1986, 58, 1285-90.
(9)Miller, J. R. NATO ASI Ser., C 1987, 241-54.
(10)Oevering, H.; Paddon-Row, M. N.; Heppener, M.; Oliver, A. M.; Cotsaris, E.; Verhoeven, J. W.; Hush, N. S. J. Am. Chem. Soc. 1987, 109, 3258-69.
(11)Paddon-Row, M. N.; Jordan, K. D. Mol. Struct. Energ. 1998, 6, 115-94.
(12)Paddon-Row, M. N.; Jordan, K. D. J. Am. Chem. Soc. Commun. 1988, 1508-10.
(13)Oevering, H.; Verhoeven, J. W.; Paddon-Row, M. N.; Warman, J. M. Tetrahedron 1989, 45, 4751-66.
(14)Lawson, J. M.; Craig, D. C.; Paddon-Row, M. N.; Kroon, J.; Verhoeven, J. W. Chem. Phys. Lett. 1989, 164, 120-5.
(15)Jocachim, C.; Launay, J. P.; Woitellier, S. Chem. Phys. 1990, 147, 131-41.
(16)Falcetta, M. F.; Jordan, K. D.; McMurry, J. E.; Paddon-Row, M. N. J. Am. Chem. Soc. 1990, 112, 579-86.
(17)Paddon-Row, M. N.; Verhoeven, J. W. New J. Chem. 1991, 15, 107-16.
(18)Scholes, G. D.; Ghiggino, K. P.; Oliver, A. M.; Paddon-Row, M. N. J. Am. Chem. Soc. 1993, 115, 4345-9.
(19)Brunck, T. K.; Weinhold, F. J. Am. Chem. Soc. 1976, 98, 4392-3.
(20)Hoffmann, R.; Imamura. A.; Hehre, J. W. J. Am. Chem. Soc. 1968, 90, 1499-1509.
(21)Heilbronner, E.; Muszkat, K. A. J. Am. Chem. Soc. 1970, 92, 3818-21.
(22)Brunck, T. B.; Weihold, F. J. Am. Chem. Soc. 1976, 98, 4932.
(23)Koopmans, T. C. Physica. 1933, 1, 104.
(24)Bernard Miller. Advanced Organic Chemistry: Reactions and Mechanisms. 1998, 27-8.
(25)Bishof, P.; Hashmall, J. A.; Heilbron, E.; Hornung, V. Helv. Chim.
Acla, 1969, 52, 1745.
(26)Bodor, N.; Dewar, M. J. S.; Worley, S. D. ibid, 1970, 92, 19.
(27)Pople, J. A.; Beveridge, D. L. Approximate Molecular Orbital
Theory, McGraw-Hill, New York, 1970.
(28)Bischof, P.; Hashmall, J. A.; Heilbronner, E.; Hornung, V. Tetrahedron Lett. 1969, 4025-8.
(29)McWeeny, R. Coulson’s Valence, 3rd Ed., Oxford University Press, New York, 1979.
(30)Reed, A. E.; Curtiss, L. A.; Weihold, F. Chem. Rev. 1988, 88.
(31)Levine, I. N. Quantum Chemistry, 4th Ed., Prentice-Hall, New York, 1911.
(32) 陳邇浩，成功大學化學研究所博士論文，民國87年，第29頁。
(33) Chang, T. C. J. Chin. Soc. 1996, 43, 371
(34) Becke, A. D. Phys. Rev. A 1998, 38, 3098.
(35) Lee, C.; Yang, W.; Parr, R. G. Phys. Rev. B 1998, 37, 785.
(36) Brouwer, A. M.; Langkilde, F. W.; Bajdor, K.; Wilbrandt, R. Chem. Phys. Lett. 1994, 225, 386.
(37) Brouwer, A. M.; Langkilde, F. W.; Wilbrandt, R.; Zwier, J. M.; Mortensen, O. S. J. Am. Chem. Soc. 1998, 120, 3748-3757.
(38) Brundle, C. R.; Robin, M. B.; Kuebler, N. A. J. Am. Chem. Soc. 1971, 94, 1466.
(39) Brundle, C. R.; Robin, M. B.; Kuebler, N. A.; Basch, H. J. Am. Chem. Soc. 1972, 94, 1451.
(40) Heilbronner, E.; Maier, J. P. Helv. Chim. Acta. 1974, 57, 151.
(41) Armstrong, D. R.; Perkins, P. G.; Stewart, J. P. J. Chem. Soc. Dalton. 1973, 627.
(42) Grob, C. A. Angew. Chem., Int. Ed. Engl. 1969, 8, 535-622.
(43) Cookson, R. C.; Henstock, J.; Hudec, J. J. Am. Chem. Soc. 1966, 88, 1060-2.
(44) Hude, J. Chem. Commun. 1970, 829-31.
(45) Paddon-Row, M. N.; Wong, S. S.; Jordan, K. D. J. Am. Chem. Soc. 1990, 112, 1710.
(46) Spielmann, W.; Fick, H. H.; Meyer, L. U.; de Meijere, A.Tetrahedron Lett. 1976, 45, 4057.
(47) Rucker, C.; Muller-Botticher, H.; Braschwitz, W. D.; Prinzbach, H.;
Reifenstahl, U.; Imgartinger, H. Liebigs. Ann. Recueil. 1997, 967.
(48) Zipperer, B.; Muller, K. H.; Gallenkamp, B.; Hildebrand, R.;
Fletschinger, M.; Burger, D.; Pillat, M.; Hunkler, D.; Knothe, L.;
Fritz, H.; Prinzbach, H. Chem Ber. 1988, 121, 757.
(49) Sawicka, D.; Wilsey, S.; Houk, K. N. J. Am. Chem. Soc. 1999, 121, 864.
(50) Berson, J. A.; Olin, S. S.; Petrillo, E. W., Jr.; Pickart, P. Tetrahedron.
1974, 30, 1639.
(51) Chen, E. H.; Chang, T. C. J. Mol. Struct. (Theochem). 1998, 431, 127-36.
(52) Chen, E. H.; Chang, T. C. J. Mol. Struct. (Theochem). 1998, 429, 153-59.
(53) Chang, T. C. J. Mol. Struct. (Theochem). 1997, 391, 151-57.
(54) Chang, T. C. J. Mol. Struct. (Theochem). 1997, 398-99, 359-64.