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SPEX User's Manual - SRON

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56 Spectral Models<br />

3. set=3: for R V = 5.5.<br />

Warning: For any instrument where the extraction region has a size comparable to the size of the dust<br />

scattering halo, this model should not be used, as the scattered X-rays will fall within the exctraction<br />

region. Take care when fitting data from different instruments simultaneously.<br />

Warning: This model only calculates the dust scattering, not the dust absorption<br />

The parameters of the model are:<br />

nh - Hydrogen column density in 10 28 m −2 . Default value: 10 −4 (corresponding to 10 24 m −2 , a typical<br />

value at low Galactic latitudes).<br />

f - The covering factor of the absorber. Default value: 1 (full covering)<br />

set - The set of cross sections being used. See table above.<br />

3.10 Etau: simple transmission model<br />

This model calculates the transmission T(E) between energies E1 and E 2 for a simple (often unphysical!)<br />

case:<br />

T(E) = e −τ(E) , (3.12)<br />

with the optical depth τ(E) given by:<br />

τ(E) = τ 0 E a . (3.13)<br />

In addition, we put here T ≡ 1 for E < E 1 and E > E 2 , where E 1 and E 2 are adjustable parameters.<br />

This allows the user for example to mimick an edge. Note however, that in most circumstances there are<br />

more physical models present in <strong>SPEX</strong> that contain realistic transmissions of edges! If you do not want<br />

or need edges, simply keep E 1 and E 2 at their default values.<br />

Note that τ 0 should be non-negative. For a > 0 the spectrum has a high-energy cut-off, for a < 0 it has<br />

a low-energy cut-off, and for a = 0 the transmission is flat. The larger the value of a, the sharper the<br />

cut-off is.<br />

The model can be used a s a basis for more complicated continuum absorption models. For example, if<br />

the optical depth is given as a polynomial in the photon energy E, say for example τ = 2 + 3E + 4E 2 ,<br />

one may define three etau components, with τ 0 values of 2, 3, and 4, and indices a of 0, 1 and 2. This is<br />

because of the mathematical identity e −(τ1+τ2) = e −τ1 × e −τ2 .<br />

The parameters of the model are:<br />

tau0 - Optical depth τ 0 at E = 1 keV. Default value: 1.<br />

a - The index a defined above. Default value: 1.<br />

e1 - Lower energy E 1 (keV). Default value: 10 −20 .<br />

e2 - Upper energy E 2 (keV). Default value: 10 20 .<br />

f - The covering factor of the absorber. Default value: 1 (full covering)<br />

3.11 Euve: EUVE absorption model<br />

This model calculates the transmission of gas with cosmic abundances as published first by Rumph et al.<br />

([1994]). It is a widely used model for the transimission at wavelenghts covered by the EUVE satellite<br />

(λ > 70 Å). As it these wavelengths metals are relatively unimportant, it only takes into account hydrogen<br />

and helium, but for these elements it takes into account resonances. However it is not recommended to<br />

use the model for harder X-rays, due to the neglect of metals such as oxygen etc.<br />

Otherwise the user is advised to use the ”absm” model or the ”hot” model with low temperature in<br />

<strong>SPEX</strong>, which gives the transmission of a slab in collisional ionisation equilibrium.<br />

The parameters of the model are:<br />

nh - Hydrogen column density in 10 28 m −2 . Default value: 10 −4 (corresponding to 10 24 m −2 , a typical<br />

value at low Galactic latitudes).

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