The AMIGA sample of isolated galaxies: IV A catalogue of neighbours around isolated galaxies Verley, Simon Odewahn, S. C. Verdes-Montenegro, L. Leon, S. Combes, F. Sulentic, J. Bergond, G. Espada Fernández, Daniel García, E. Lisenfeld , Ute Sabater, J. Galaxies Fundamental parameters Formation Evolution Context.Studies of the effects of environment on galaxy properties and evolution require well defined control samples. Such isolated galaxy samples have up to now been small or poorly defined. The AMIGA project (Analysis of the interstellar Medium of Isolated GAlaxies) represents an attempt to define a statistically useful sample of the most isolated galaxies in the local (z $\leq$ 0.05) Universe. Aims.A suitable large sample for the AMIGA project already exists, the Catalogue of Isolated Galaxies (CIG, Karachentseva, 1973, Astrofizicheskie Issledovaniia Izvestiya Spetsial'noj Astrofizicheskoj Observatorii, 8, 3; 1050 galaxies), and we use this sample as a starting point to refine and perform a better quantification of its isolation properties. Methods.Digitised POSS-I E images were analysed out to a minimum projected radius R $\geq$ 0.5 Mpc around 950 CIG galaxies (those within Vr = 1500 km s-1 were excluded). We identified all galaxy candidates in each field brighter than B = 17.5 with a high degree of confidence using the LMORPHO software. We generated a catalogue of approximately 54 000 potential neighbours (redshifts exist for $\approx$30% of this sample). Results.Six hundred sixty-six galaxies pass and two hundred eighty-four fail the original CIG isolation criterion. The available redshift data confirm that our catalogue involves a largely background population rather than physically associated neighbours. We find that the exclusion of neighbours within a factor of four in size around each CIG galaxy, employed in the original isolation criterion, corresponds to $\Delta V_r \approx$ 18 000 km s-1 indicating that it was a conservative limit. Conclusions.Galaxies in the CIG have been found to show different degrees of isolation. We conclude that a quantitative measure of this is mandatory. It will be the subject of future work based on the catalogue of neighbours obtained here. 2013-10-10T09:44:59Z 2013-10-10T09:44:59Z 2007 info:eu-repo/semantics/preprint Verley, S.; et al. The AMIGA sample of isolated galaxies: IV A catalogue of neighbours around isolated galaxies. Astronomy and Astrophysics, 470(2): 505-513 (2007). [http://hdl.handle.net/10481/28404] 0004-6361 1432-0746 arXiv:0705.0479v1 http://hdl.handle.net/10481/28404 10.1051/0004-6361:20077307 eng http://creativecommons.org/licenses/by-nc-nd/3.0/ info:eu-repo/semantics/openAccess Creative Commons Attribution-NonCommercial-NoDerivs 3.0 License European Southern Observatory (ESO); Springer Verlag