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CHAPTER 1: INTRODUCTION<br />

optically classified as Type-2 AGN (see Figure 1.4).<br />

Unification schemes provide a simple description of the most general properties<br />

of AGN. X-ray observations show that Type-2 AGN are systematically weaker<br />

in the soft X-ray band than Type-1 AGN, as expected if their nuclear emission<br />

is obscured. However, the number of observational results that cannot be explained<br />

by the standard unified model are increasing rapidly. X-ray surveys are<br />

finding that not all X-ray obscured AGN have Type-2 optical spectra, and that<br />

not all Type-1 AGN are X-ray unobscured (e.g. [149], [150]).<br />

1.6 Evolution of AGN in X-rays<br />

1.6.1 The K-correction<br />

The luminosities of extragalactic objects such as AGN have to be corrected for<br />

their redshift, so that all luminosities are studied over the same emitted band<br />

(we would have different emitted bands for different redshifts otherwise).<br />

Formally, this can be expressed as:<br />

L = L obs × K corr (z) (1.6.1)<br />

where L obs is the luminosity in the observer bandpass and L is the luminosity<br />

over the same bandpass in the frame of reference of the emitting object. For an<br />

object with a power law spectrum (typical of AGN), the K-correction is:<br />

K corr (z) = (1 + z) α−1 (1.6.2)<br />

where α is the energy index defined in section 1.5.1. The K-correction is unity<br />

(and therefore has no effect at all) when α = 1. In any other cases, neglecting<br />

the K-correction would lead to spurious luminosity evolution with redshift.<br />

In this work, the spectral index of most AGN is known and therefore we have<br />

applied the K-correction for individual AGN. However, in some cases in which<br />

we do not know the spectral index for every single source in a sample we have<br />

applied an average K-correction.<br />

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