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A.4 RBF Transitions

A.4.1 Seaton Formula

(nth )s [ nth] sn = s0 ---- a + (1 - a) ---- n n

z4gII (nth) hydrogen - like : s0 = 2.815 .1029 ------------ n5effnth3

with the effective principal quantum number

---- R neff = z V~ ---- nth

gII is the bound-free gaunt factor

z core charge of the ion
3 input parameters: s0,a,s

A.4.2 Seaton Formula with Gaunt Factor

(n )s [ n ] sn = s0 -th- a + (1 - a) --th- gII (x, y,z) n n
6 input parameters: s0,a,s,x,y,z

A.4.3 Koester Formula for He I
A&A,

ln (gsn ) = a0 + a1 ln c + a2 ln2 c, c[šA]
3 input parameters: a0,a1,a2

A.4.4 Karzas & Latter data with Gaunt Factor

Tables taken from Karzas & Latter (1961, ApJS 6, 167) are used to calculate the photoionization cross-sections.

3 input parameters: zeff, n (principal quantum number), l (azimuthal quantum number)

A.4.10 Opacity Project Photoionization Cross-Sections

The Opacity Project data for a level of the ion XXXX are read from the file OP_RBF_XXXX (Sect. 8.1). The programs recognize an A10 label at the begin of the data set which represents the level name in TMAP code (Sect. 2.1). For the actual frequency grid FGRID (Sect. 3), the cross-sections are interpolated or extrapolated (including possible resonances etc.). Is formula 4 requested and a cross-section of 0.0 inserted, a mean cross-section (at the threshold energy) of the Opacity Project data is calculated and used as threshold cross-section.
no input parameter

A.4.12 DETAIL Fit Formula

sum 5 [ (nth )]i ln sn = ai . ln ---- i=0 n
6 input parameters: a0,...,a5

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