Hostname: page-component-78c5997874-dh8gc Total loading time: 0 Render date: 2024-11-06T04:26:38.390Z Has data issue: false hasContentIssue false
  • English
  • Français

A Concise Reference to (Projected) Sérsic R1/n Quantities, Including Concentration, Profile Slopes, Petrosian Indices, and Kron Magnitudes

Published online by Cambridge University Press:  05 March 2013

Alister W. Graham  and
Simon P. Driver
Alister W. Graham*
Affiliation:
Mount Stromlo and Siding Spring Observatories, Australian National University, Weston Creek ACT 2611, Australia
Simon P. Driver
Affiliation:
Mount Stromlo and Siding Spring Observatories, Australian National University, Weston Creek ACT 2611, Australia
*
BCorresponding author. Email: [email protected]
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

Given the growing use of Sérsic's (1963, 1968) R1/n model for describing the stellar distributions in galaxies, and the lack of any single reference that provides the various associated mathematical expressions, we have endeavoured to compile such a resource here. We present the standard intensity profile, and its various guises such as the luminosity, surface-brightness, and aperture–magnitude profile. Expressions to transform the effective surface brightness into the mean effective and central surface brightness are also given, as is the expression to transform between effective radii and exponential scale-lengths. We additionally provide expressions for deriving the ‘concentration’ of an R1/n profile, and two useful equations for the logarithmic slope of the light-profile are given. Petrosian radii and fluxes are also derived for a range of Sérsic profiles and compared with the effective radii and total flux. Similarly, expressions to obtain Kron radii and fluxes are presented as a function of the Sérsic index n and the number of effective radii sampled. Illustrative figures are provided throughout. Finally, the core–Sérsic model, consisting of an inner power-law and an outer Sérsic function, is presented.

Keywords

galaxies: structuregalaxies: fundamental parametersmethods: analyticalmethods: data analysis
Type
Research Article
Information
Publications of the Astronomical Society of Australia , Volume 22 , Issue 2 , 2005 , pp. 118 - 127
Copyright
Copyright © Astronomical Society of Australia 2005

References

Abraham, R. G., Valdes, F., Yee, H. K. C., & van den Bergh, S. 1994, ApJ, 432, 75 CrossRefGoogle Scholar
Andredakis, Y. C., Peletier, R. F., & Balcells, M. 1995, MNRAS, 275, 874 CrossRefGoogle Scholar
Andreon, S. 2002, A&A, 382, 495 Google Scholar
Benitez, N., et al. 2004, ApJS, 150, 1 CrossRefGoogle Scholar
Bernstein, R. A., Freedman, W. L., & Madore, B. F. 2002, ApJ, 571, 107 CrossRefGoogle Scholar
Bershady, M. A., Jangren, A., & Conselice, C. J. 2000, AJ, 119, 2645 CrossRefGoogle Scholar
Bertin, E., & Arnouts, S. 1996, A&AS, 117, 393 Google Scholar
Bland-Hawthorn, J., Vlajić, M., Freeman, K. C., & Drain, B. T. 2005, ApJ, in press (astro-ph/0503488)Google Scholar
Blanton, M. R., et al. 2001, AJ, 121, 2358 CrossRefGoogle Scholar
Blanton, M. R., et al. 2003, ApJ, 594, 186 CrossRefGoogle Scholar
Calzetti, D. 2001, PASP, 113, 1449 CrossRefGoogle Scholar
Caon, N., Capaccioli, M., & D'Onofrio, M. 1993, MNRAS, 265, 1013 CrossRefGoogle Scholar
Caon, N., Capaccioli, M., D'Onofrio, M., & Longo, G. 1994, A&A, 286, 39 Google Scholar
Capaccioli, M. 1989, in The World of Galaxies, eds. H. G. Corwin, & L. Bottinelli (Berlin: Springer-Verlag), 208 CrossRefGoogle Scholar
Capaccioli, M., Caon, N., & D'Onofrio, M. 1992, MNRAS, 259, 323 CrossRefGoogle Scholar
Capaccioli, M., Caon, N., & D'Onofrio, M. 1994, MmSAI, 65, 919 Google Scholar
Capaccioli, M., & de Vaucouleurs, G. 1983, ApJS, 52, 465 CrossRefGoogle Scholar
Cellone, S. A., Forte, J. C., & Geisler, D. 1994, ApJS, 93, 397 CrossRefGoogle Scholar
Chołoniewski, J. 1991, MNRAS, 250, 486 CrossRefGoogle Scholar
Ciotti, L. 1991, A&A, 249, 99 Google Scholar
Ciotti, L., & Bertin, G. 1999, A&A, 352, 447 Google Scholar
Ciotti, L., Lanzoni, B., & Renzini, A. 1996, MNRAS, 282, 1 CrossRefGoogle Scholar
Conselice, C. J. 1997, PASP, 109, 1251 CrossRefGoogle Scholar
Conselice, C. J., et al. 2003, AJ, 125, 66 CrossRefGoogle Scholar
Conselice, C. J., Gallagher, J. S. III, & Wyse, R. F. G. 2002, AJ, 123, 2246 CrossRefGoogle Scholar
Cross, N. J. G., Driver, S. P., Liske, J., Lemon, D. J., Peacock, J. A., Cole, S., Norberg, P., & Sutherland, W. J. 2004, MNRAS, 349, 576 CrossRefGoogle Scholar
Dalcanton, J. J., & Bernstein, R. A. 2000, AJ, 120, 203 CrossRefGoogle Scholar
Davies, J. I., Phillipps, S., Boyce, P. J., & Disney, M. J. 1993, MNRAS, 260, 491 CrossRefGoogle Scholar
Davies, J. I., Phillipps, S., Cawson, M. G. M., Disney, M. J., & Kibblewhite, E. J. 1988, MNRAS, 232, 239 CrossRefGoogle Scholar
de Grijs, R., Kregel, M., & Wesson, H. 2001, MNRAS, 324, 1074 CrossRefGoogle Scholar
de Souza, R. E., Gadotti, D. A., & dos Anjos, S. 2004, ApJS, 153, 411 CrossRefGoogle Scholar
de Vaucouleurs, G. 1948, AnAp, 11, 247 Google Scholar
de Vaucouleurs, G. 1956, Mem. Commonwealth Obs., 3, No. 13Google Scholar
de Vaucouleurs, G. 1959, HDP, 53, 275 & 311 Google Scholar
de Vaucouleurs, G. 1977, in Evolution of Galaxies and Stellar Populations, eds. R. Larson, & B. Tinsley (New Haven: Yale University Observatory), 43 Google Scholar
Disney, M. J., Davies, J. I., & Phillipps, S. 1989, MNRAS, 239, 939 CrossRefGoogle Scholar
Djorgovski, S., & Spinrad, H. 1981, ApJ, 251, 417 CrossRefGoogle Scholar
Djorgovski, S., Spinrad, H., & Marr, J. 1984, in New Aspects of Galaxy Photometry, ed. J. L. Nieto (Heidelberg: Springer)Google Scholar
Doi, M., Fukugita, M., & Okamura, S. 1993, MNRAS, 264, 832 CrossRefGoogle Scholar
D'Onofrio, M. 2001, MNRAS, 326, 1517 CrossRefGoogle Scholar
D'Onofrio, M., Capaccioli, M., & Caon, N. 1994, MNRAS, 271, 523 CrossRefGoogle Scholar
Driver, S. P., Phillipps, S., Davies, J. I., Morgan, I., & Phillipps, S. 1994, MNRAS, 266, 155 CrossRefGoogle Scholar
Ellis, G. F. R., & Perry, J. J. 1979, MNRAS, 187, 357 CrossRefGoogle Scholar
Ferrari, F., Dottori, H., Caon, N., Nobrega, A., & Pavani, D. B. 2004, MNRAS, 347, 824 CrossRefGoogle Scholar
Fraser, C. W. 1972, Obs, 92, 51 Google Scholar
Graham, A. W. 2001a, AJ, 121, 820 CrossRefGoogle Scholar
Graham, A. W. 2001b, MNRAS, 326, 543 CrossRefGoogle Scholar
Graham, A. W. 2004, ApJ, 613, L33 CrossRefGoogle Scholar
Graham, A. W., & Colless, M. M. 1997, MNRAS, 287, 221 CrossRefGoogle Scholar
Graham, A. W., Erwin, P., Trujillo, I., & Asensio-Ramos, A. 2003a, in Carnegie Observatories Astrophysics Series, Vol. 1: Coevolution of Black Holes and Galaxies, ed. L. C. Ho (Pasadena: Carnegie Observatories)Google Scholar
Graham, A. W., Erwin, P., Trujillo, I., & Asensio-Ramos, A. 2003b, AJ, 125, 2951 CrossRefGoogle Scholar
Graham, A. W., & Guzmán, R. 2003, AJ, 125, 2936 CrossRefGoogle Scholar
Graham, A. W., Lauer, T., Colless, M. M., & Postman, M. 1996, ApJ, 465, 534 CrossRefGoogle Scholar
Graham, A. W., Trujillo, I., & Caon, N. 2001, AJ, 122, 1707 CrossRefGoogle Scholar
Graham, A. W., et al. 2005, AJ, submittedGoogle Scholar
Gunn, J. E., & Oke, J. B. 1975, ApJ, 195, 255 CrossRefGoogle Scholar
Hoessel, J. G. 1980, ApJ, 241, 493 CrossRefGoogle Scholar
Infante, I. 1987, A&A, 183, 177 Google Scholar
Iodice, E., D'Onofrio, M., & Capaccioli, M. 1997, ASP Conf. Ser., 116, 841 Google Scholar
Iodice, E., D'Onofrio, M., & Capaccioli, M. 1999, ASP Conf. Ser., 176, 402 Google Scholar
Jones, H., Davies, J. I., & Trewhella, M., 1996, MNRAS, 283, 316 CrossRefGoogle Scholar
Karachentseva, V. E., Prugniel, P., Vennik, J., Richter, G. M., Thuan, T. X., & Martin, J. M. 1996, A&ASS, 117, 343 Google Scholar
Kennicutt, R. C. 1989, ApJ, 344, 685 CrossRefGoogle Scholar
Khosroshahi, H. G., Wadadekar, Y., & Kembhavi, A. 2000, ApJ, 533, 162 CrossRefGoogle Scholar
Kjærgaard, P., Jorgensen, I., & Moles, M. 1993, ApJ, 418, 617 CrossRefGoogle Scholar
Kornreich, D. A., Haynes, M. P., & Lovelace, R. V. E. 1998, AJ, 116, 2154 CrossRefGoogle Scholar
Kregel, M., & van der Kruit, P. C. 2004, MNRAS, 355, 143 CrossRefGoogle Scholar
Kron, R. 1980, ApJS, 43, 305 CrossRefGoogle Scholar
Lima Nieto, G. B., Gerbal, D., & Márquez, I. 1999, MNRAS, 309, 481 CrossRefGoogle Scholar
MacArthur, L. A., Courteau, S., & Holtzman, J. A. 2003, ApJ, 582, 689 CrossRefGoogle Scholar
Marleau, F. R., & Simard, L. 1998, ApJ, 507, 585 CrossRefGoogle Scholar
Mazure, A., & Capelato, H. V. 2002, A&A, 383, 384 Google Scholar
Möllenhoff, C., & Heidt, J. 2001, A&A, 368, 16 Google Scholar
Morgan, W. W. 1958, PASP, 70, 364 CrossRefGoogle Scholar
Morgan, W. W. 1959, PASP, 71, 394 CrossRefGoogle Scholar
Morgan, W. W. 1962, ApJ, 135, 1 CrossRefGoogle Scholar
Narayan, C. A., & Jog, C. J. 2003, A&A, 407, L59 Google Scholar
Nieto, J.-L., Bender, R., & Surma, P. 1991, A&A, 244, L37 Google Scholar
Okamura, S., Kodaira, K., & Watanabe, M. 1984, ApJ, 280, 7 CrossRefGoogle Scholar
Peng, C. Y., Ho, L. C., Impey, C. D., & Hans-Walter, W. 2002, AJ, 124, 266 CrossRefGoogle Scholar
Petrosian, V. 1976, ApJ, 209, L1 CrossRefGoogle Scholar
Pierini, D., Gordon, K. D., Witt, A. N., & Madsen, G. J. 2004, ApJ, 617, 1022 CrossRefGoogle Scholar
Prieto, M., Aguerri, J. A. L., Varela, A. M., & Muñoz-Tuñon, C. 2001, A&A, 367, 405 Google Scholar
Pohlen, M., Dettmar, R., Lutticke, R., & Aronica, G. 2002, A&A, 392, 807 Google Scholar
Pohlen, M., Beckman, J. E., Hüttemeister, S., Knapen, J. H., Erwin, P., & Dettmar, R.-J. 2004, in Penetrating Bars Through Masks of Cosmic Dust, eds. D. L. Block, I. Puerari, K. C. Freeman, R. Groess, & E. K. Block, A&SS, 319, 713 Google Scholar
Prugniel, P., & Simien, F. 1997, A&A, 321, 111 Google Scholar
Rix, H.-W., & Zaritsky, D. 1995, ApJ, 447, 82 CrossRefGoogle Scholar
Rest, A., et al. 2001, AJ, 121, 2431 CrossRefGoogle Scholar
Sandage, A., & Perelmuter, J.-M. 1990, ApJ, 350, 481 CrossRefGoogle Scholar
Schade, D., Lilly, S. J., Crampton, D., Hammer, F., Le Fevre, O., & Tresse, L. 1995, ApJ, 451, L1 CrossRefGoogle Scholar
Schwarzkopf, U., & Dettmar, R.-J. 1997, AGM, 13, 238 Google Scholar
Seigar, M. S., & James, P. A. 1998, MNRAS, 299, 672 CrossRefGoogle Scholar
Sérsic, J.-L. 1963, BAAA, 6, 41 Google Scholar
Sérsic, J.-L. 1968, Atlas de Galaxias Australes (Cordoba: Observatorio Astronomico)Google Scholar
Trujillo, I., Aguerri, J. A. L., Cepa, J., & Gutiérrez, C. M. 2001a, MNRAS, 321, 269 CrossRefGoogle Scholar
Trujillo, I., Aguerri, J. A. L., Cepa, J., & Gutiérrez, C. M. 2001b, MNRAS, 328, 977 CrossRefGoogle Scholar
Trujillo, I., Asensio Ramos, A., Rubiño-Martin, J. A., Graham, A. W., Aguerri, J. A. L., Cepa, J., & Gutiérrez, C. M. 2002, MNRAS, 333, 510 CrossRefGoogle Scholar
Trujillo, I., Erwin, P., Asensio Ramos, A., & Graham, A. W. 2004, AJ, 127, 1917 CrossRefGoogle Scholar
Trujillo, I., Graham, A. W., & Caon, N. 2001c, MNRAS, 326, 869 CrossRefGoogle Scholar
Tuffs, R., Popescu, C. C., Volk, H. J., Kylafis, N. D., & Dopita, M. A. 2004, A&A, 419, 821 Google Scholar
van der Kruit, P. C. 1979, A&A, 38, 15 Google Scholar
van der Kruit, P. C. 2001, in Galaxy Disks and Disk Galaxies, eds. G. José, S. J. Funes, & E. M. Corsini, ASP Conf. Ser., 230, 119 Google Scholar
van der Kruit, P. C., & Searle, L. 1981, A&A, 95, 105 Google Scholar
Vennik, J., Hopp, U., Kovachev, B., Kuhn, B., & Elsässer, H. 1996, A&ASS, 117, 261 Google Scholar
Vennik, J., & Richter, G. M. 1994, AN, 315, H3, 245 Google Scholar
Young, C. K., & Currie, M. J. 1994, MNRAS, 268, L11 CrossRefGoogle Scholar
Young, C. K., & Currie, M. J. 1995, MNRAS, 273, 1141 CrossRefGoogle Scholar