在此篇論文裡，我們使用中國科學院北京天文台興隆觀測站大視野多色巡天計畫（BATC，Beijing-Arizona-Taipei-Connecticut）裡的觀測資料來推求我們所觀測到的正常星系的質光比（Mass-to-Luminosity ratio，M/L ratio）。對於一般正常星系來說，質光比能告訴我們在這個星系中可見物質與不可見物質的比例，在星系結構及演化上扮演一個基本而又重要的角色。近二十年來，由於天文學的急速發展，探索宇宙中黑暗物質（dark matter）與黑暗能量（dark energy）的比例及其組成一直是物理學界尖端研究的課題，透過星系的質光比能提供科學家了解在特定星系中黑暗物質的比例。
在BATC計畫中，我們選取了一組包含22個星系的樣本。這些星系是利用十五個三百埃左右的帶通濾鏡（band-pass filter），涵蓋範圍從近紫外的3360Å到近紅外的9745Å作出觀測。相較於文獻上只使用UBVRI系統單一濾鏡獲得星系的亮度，這十五個濾鏡的表現如同一個小型光譜，我們使用十五個濾鏡來求得星系在可見光波段下的總亮度。再與相關文獻上星系的光度相比較，我們希望根據BATC計畫得到的光度資訊與相關文獻之間建立一種新的關係，這種新的關係也能提供後人另外一個求得星系光度的方法。

In this paper, we use BATC (Beijing-Arizona-Taipei-Connecticut) Multi-color Sky Survey data to derive the mass-to-luminosity ratio (M/L ratio) for normal galaxies. The quantity M/L ratio gives us information on both stellar and galactic total energy efficiency. It tells us about the kinds of stars responsible for the generation of light. Form the M/L ratio, we could learn the relative amount of luminous and non-luminous matter in a galaxy and the distribution of luminosity among stars in the galaxy. It gives us clues to measure the relative distribution of luminous and dark matter for comparison with models of galaxy formation. BATC survey project uses 15 filters covering a range of effective wavelengths from 3360Å to 9745Å. In contrast to getting the single band luminosity of galaxies from literature, we use the BATC data to obtain the overall luminosity in the optical region. In comparing with the published literature (on mass and light distribution), a possible new relationship between mass and luminosity seems to exist. This relationship is useful for the inter-comparison of galactic M/L ratio derived by using various methods.

Anderson, Kurt S. ApJ, 162, 743, 1970
Arthur N. Cox editor, Allen’s Astrophysical Auantities, 4th edition, Springer press.
BATC Multi-Color Sky Survey project official website http://vega.bac.pku.edu.cn/batc/
B. Basu, A. K. Roy and Anuva Segupta, BAICz, 28, 144, 1977
Begeman K., Broeils A. H., Sanders R. H., MNRAS, 249, 523, 1991
Beichman, Charles; Helou, George; van Buren, Dave; Ganga, Ken; Desert, F. X. ApJ, 523, 559, 1999
B. Fuchs, ASPC, 117, 148, 1997
Blackman, C. P. MNRAS, 202, 379, 1983
Blumenthal, G. R.; Faber, S. M.; Flores, R.; and Primack, J. R., AJ, 301, 27, 1986
Boris N. V., Donzelli, C. J., Pastoriza, M. G., Rodriguez-Ardila, A., & Ferreiro, D. L. A&A, 384, 780, 2002
Boroson, T. A., Strom, K. M., Strom, S. E. ApJ, 274, 39, 1983
Bosma, A. AJ, 86, 1791, 1981
Bosma, A. AJ, 86, 1825, 1981
Bradley W. Carroll, Dale A. Ostlie, An Introduction to Modern Astrophysics, Addision-Wesley Publishing Company Press, 1996.
Brandt, John C., ApJ, 131, 293, 1960
Broeils, A. H.; Rhee, M.-H. A&A, 324, 877, 1997
Castro-Rodríguez, N.; López-Corredoira, M.; Sánchez-Saavedra, M. L.; Battaner, E., A&A, 391, 519, 2002
Chen, An-Chen. Mater Thesis, Institute of Astronomy, National Central University, 2003
Code, A. D.; Welch, G. A. ApJ, 256, 1, 1982
C. P. Blackman, MNRAS, 188, 93, 1979
de Vaucouleurs, G., de Vaucouleurs, A., H. G. Buta, R. J., Paturel, G., & Fouque, P. Third Reference Catalog of Bright Galaxies (RC3), version 3.9, University of Texas Press, Austin, 1991.
de Vaucouleurs, A., Longo, G. Catalogue of Visual and Infrared Photometry of Galaxies from 0.5 micron to 10 micron (1961-1985), 1988
D. M. Pierce; C. G. Mundell; A. S. Wilson; R. K. Riggs, AAS, 194, 4909, 1999
Dumke, M.; Krause, M.; Wielebinski, R. A&A, 355, 512, 2000
Edwin Hubble, The Realm of the Nebulae, New Haven: Yale University Press, 1936.
Faber, S. M., and Gallagher, J. S., Annu. Rev. Astron. Astrophys. 17, 135, 1979.
Fan, X. et al. AJ, 112, 628, 1996.
F. Combes, P. Boissé, A. Mazure, A. Blanchard, Galaxies and Cosmiology, second edition, Springer express.
Finoguenov, A.; Jones, C. ApJ, 539, 603, 2000
Forbes, D. A., ASPC, 176, 347F, 1999
Fry, Anne M.; Morrison, Heather L.; Harding, Paul; Boroson, Todd A., AJ, 118, 1209, 1999
Fukugita, M. et al. AJ, 111, 1748, 1996
Gallagher, J. S. ; Burstein, D. ; Faber, S. M. ApJ, 235, 743, 1980
Gavazzi, G.; Boselli, A. ApL&C, 35, 1, 1996
Giuricin, G.; Bertotti, G.; Mardirossian, F.; & Mezzetti, M. MNRAS, 250, 392, 1991
Glass, I. S. MNRAS, 297, 18, 1998
Godwin, J. G.; Bucknell, M. J.; Dixon, K. L.; Green, M. R.; Peach, J. V.; Wallis, R. E. Obs, 97, 238, 1977
Goudfrooij, P.; Hansen, L.; Jorgensen, H. E.; Norgaard-Nielsen, H. U.; de Jong, T.; & van den Hoek, L. B., A&AS, 104, 179, 1994
Gregory A. Shields, Evan D. Skillman and Robert C. Kennicutt. ApJ, 371, 82, 1991
Haojing Yan, David Burstein, Xiaohui Fan, et al., PASP, 112, 691, 2000
Heraudeau, P.; Simien, F. A&AS, 118, 111, 1996
Hirshfeld, Alan and Roger W. Sinnott edited, Sky catalogue 2000.0, Cambridge University Press Sky Pub Corp, 1982-1985.
Huchra, John & Braodie, Jean, AJ, 93, 779, 1987
Hunt L. K., Malkan M. A., Rush B., Bicay M. D., Nelson B. O., Stanga R. M. & Webb W. ApJS, 125, 349, 1999
I. Puerari; M. Valdez-Gutiérrez; M. Rosado, IAUS, 220, 321P, 2004
James Binney and Michael Merrifield, Galactic astronomy, Princeton University Press, 1998.
Jedrzejewski, R. I., MNRAS, 226, 747, 1987
Jensen, E. B., Thuan, T. X. ApJS, 50, 421, 1982
Johnson, Harold L., ApJ, 143, 187, 1966
J. Rossa and R. J. Dettmar, A&A, 406, 505, 2003
Julien Belley, Jean-Rene Roy, ApJS, 78, 61, 1992
Jurjen Kamphuis and Frank Briggs, A&A, 253, 335, 1992
Karachentsev, I. D.; Sharina, M. E., A&A, 324, 457, 1997
Kavelaars, J. J., ASPC, 182, 437, 1999
Leonard, Douglas C., Kanbur, Shashi M., Ngeow, Choong C., Tanvir, Nial R., ApJ, 594, 247, 2003
Li, Yang-Shyang. Mater Thesis, Institute of Astronomy, National Central University, 2003
Lu, N. Y., Hoffman, G. L., Groff, T., Roos, T.; Lamphier, C., ApJS, 88, 383, 1993
Mathewson, D. S., Ford, V. L. ApJS, 107, 97, 1996
McAlary, C. W., McLaren, R. A., McGonegal, R. J., Maza, J. ApJS, 52, 341, 1983
M. F. Duval and G. Monnet, A&AS, 61, 141, 1985
M. H. Rhee, T. S. van Albada, A&AS, 115, 407, 1996
M. S. Clemens, P. Alexander, MNRAS, 321, 1, 103, 2001
NED (NASA/IPAC Extragalactic Database). http://nedwww.ipac.caltech.edu/
Neininger, N., Guelin, M., Garcia-Burillo, S., Zylka, R., & Wielebinski, R., A&A, 310, 725, 1996.
N. W. Evans, M. I. Wilkinson, MNRAS, 316, 929, 2000
Oke, J. B., & Gunn, J. E., ApJ, 266, 713, 1983
Olling, Rob P., AJ, 112, 457, 1996
R. A. Jansen, J. H. Knapen, J. E. Beckman, R. F. Peletier, & R. Hes, MNRAS, 270, 373, 1994
R. Bottema, P. C. van der Kruit, and E. A. Valentijn, A&A, 247, 357, 1991
Rifatto, A., Longo, G., Capaccioli, M. A&AS, 114, 527, 1995
Rob P. Olling, AJ, 112, 457, 1996
Rubin, V. C., Ford, W. K., and Thonnard, N. ApJ, 238, 471, 1980
Rubin, V. C., Ford, W. K., Thonnard, N., and Burstein, D. ApJ, 261, 439, 1982
Rubin, V. C., Burstein, D., Ford, W. K., and Thonnard, N. ApJ, 289, 81, 1985
Roger A. Freedman, William J. Kaufmann Ⅲ, Universe, sixth edition, W. H. Freeman and Company, New York.
R. Sancisi, N. Thonnard, and R. D. Ekers, AJ, 315, L39, 1987
Sandage, A., & Tammann, G. A., A Revised Shapley Ames Catalog of Bright Galaxies, Carnegie Institute of Washington, Washington DC, 1987
Sandage, Allan, The Hubble Atlas of Galaxies, Carnegie Institution of Washington Publication. 1984.
Sandage, Allan, Classification and Stellar Content of Galaxies Obtained from Direct Photography, Published in "Galaxies and the Universe", edited by A. Sandage, M. Sandage and J. Kristian, 1975
Sandage, A. R., Becklin, E. E., Neugebauer, G., ApJ, 157, 55, 1969
Sandage, A., Visvanathan, N., ApJ, 223, 707, 1978
Sandage, A. ApJ, 183, 711, 1973
Sargent, W. L. W. & Tinsley, B. M., MNRAS, 168, 19, 1974
Shostak, G. S., A&A, 68, 321, 1978
Schweizer, L. Y., ApJS, 64, 427, 1987
S. Laine & S. T. Gottesman, MNRAS, 297, 1041, 1998
S. Laine, I. Shlosman and C. H. Heller, MNRAS, 297, 1052, 1998
Spinoglio, L. & Malkan, M. A. ApJ, 342, 83, 1989
Sofue, Yoshiaki; Wakamatsu, Ken-Ichi; Taniguchi, Yoshiaki; Nakai, Naomasa, PASJ, 45, 43, 1993
Stephen M. Kent, AJ, 91, 130, 1986
Stephen M. Kent, AJ, 93, 4, 816, 1987
Swaters, R. A., Sancisi, R., van der Hulst, J. M., ApJ, 491, 140, 1997
The NASA Astrophysics Data System (ADS) http://adswww.harvard.edu/abstract_service.html
Tifft, W. G., AJ, 66, 390, 1961
Tinsley, B. MNRAS, 194, 63, 1981
van Dokkum, P. G. & Franx, M., AJ, 110, 2027, 1995
V. P. Reshetnikov and N. Ya. Sotnikova, Astronomy Letters, 26, 5, 277, 2000
W. K. Huchtmeier, A&A, 45, 259, 1975
Wirth, A. AJ, 86, 981, 1981
Wu, Szu-Ying. Mater Thesis, Institute of Astronomy, National Central University, 2003.
Yan, H., Burstein, D., Fan, X. et al. PASP, 112, 691, 2000.
Yoshiaki Sofue, PASJ, 49, 17, 1997
Zhou, X., Jiang, Z., MA, J., Xue, S., WU, H., Chen, J., Zhu, J., Sun, W., & Windhorst, R. A. A&A, 397, 361, 2003
Zhou, X. et al. ChJAA, 1, 372, 2001
Zhou Xu et al. PASP, 111, 909, 1999
Zwicky, F., Herzog, E., Wild, P. Catalogue of Galaxies and of Clusters of Galaxies, volume I, Pasadena: California Institute of Technology, 1961
Zwicky, F., Herzog, E., Wild, P. Catalogue of Galaxies and of Clusters of Galaxies, volume Ⅱ, Pasadena: California Institute of Technology, 1963
Zwicky, F., Herzog, E., Catalogue of Galaxies and of Clusters of Galaxies, volume Ⅲ, Pasadena: California Institute of Technology, 1966
Zwicky, F., Herzog, E., Catalogue of Galaxies and of Clusters of Galaxies, volume Ⅳ, Pasadena: California Institute of Technology, 1968
Zwicky, F., Karpowicz, M., Kowal, C. T., Catalogue of Galaxies and of Clusters of Galaxies, volume V, Pasadena: California Institute of Technology, 1965
Zwicky, F., Kowal, C. T., Catalogue of Galaxies and of Clusters of Galaxies, volume VI, Pasadena: California Institute of Technology, 1968