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A cheat sheet for X-ray analysis, providing formulas and conversions for various measurements. It includes information on effective area, photon and energy flux, power law spectrum, energy conversion factor, and luminosity. useful for students studying X-ray analysis in physics or astronomy. The University of California, Berkeley is a US university that likely offers courses related to this topic.
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X-ray analysis Cheat Sheet
keV to erg 1 keV = 1. 602 × 10 −^9 erg Plank constant h = 6. 626 × 10 −^27 erg s Exp time T sec Exp map (pix i,j) Eij cts photon−^1 sec cm^2 Exp map (src avg) ES =
∑
S
Eij /
∑
S
1 cts photon−^1 sec cm^2
≡ Aeff T Effective area * Time Effective area Aeff = 340 cm^2 (typical) Src counts CS Total cts in src reg cts Bkg counts CB Total cts in bkg reg cts Net counts CN = CS − CB
∑ ∑^ S^ Eij B Eij
cts Photon flux fp = CN /ES photons cm−^2 sec−^1 Energy flux f = fp · ECF erg cm−^2 sec−^1 Energy band hν 0 , hν 1 0.5, 8 keV Power law spectrum fν = kνα^ ≡ kν^1 −Γ^ erg cm−^2 sec−^1 Hz−^1 Energy index α Typical = -0. Photon index Γ Typical = 1. Energy Conv Factor ECF = hν 0
(ν 1 /ν 0 )α+1^ − 1 (ν 1 /ν 0 )α^ − 1
α α + 1
erg photons−^1
= 2. 83 × 10 −^9 erg photons−^1 (E=0.5-8 keV, Γ = 1.7) Redshift z Luminosity L =
∫ (^) ν 1
ν 0
Lν dν erg
∫ (^) ν 1 /(1+z)
ν 0 /(1+z)
4 πd^2 l · fν dν erg
4 πd^2 l (1 + z)α+^
· f erg
= Kcorr · 4 πd^2 l · f erg K correction Kcorr = (1 + z)Γ−^2 Luminosity dist dl = (from cosmology calc) cm