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{{Short description|Astronomical function}}
'''Planetary nebula luminosity function''' ('''PNLF''') is a secondary<ref name="Ferrareseetal2000" /> [[standard candle|distance indicator]] used in [[astronomy]]. It makes use of the [[O III|[O III]]] λ5007 [[forbidden line]] found in all [[planetary nebula]] (PNe) which are members of the old stellar populations ([[Population II]]).<ref name="Ferrareseetal2000">{{harvnb|Ferrarese|Ford|Huchra|Kennicutt|2000}}</ref>
It
== Procedure ==
PNe. The observed luminosity function is then fitted to some standard law.<ref name="Ciardullo2004">{{harvnb|Ciardullo|2004}}</ref>
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== Physics behind process ==
The PNLF method is unbiased by [[metallicity]]. This is because [[oxygen]] is a primary nebular coolant; any drop in its concentration raises the
uncorrelated to metallicity. This beneficial negation is in agreement with more precise models of PNe evolution. Only in extremely metal-poor PNe does the brightness of the PNLF cutoff dim by more than a small percentage.<ref name="Ciardullo2004" />
The relative independence of the PNLF cutoff with respect to population age is harder to understand. The [O III]
== Notes ==
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| first1 = Robin
| title = Distances from Planetary Nebulae
| journal =
<!-- Invited review at the International Workshop on "Stellar Candles for the Extragalactic Distance Scale", held in Concepcion, Chile -->
| date = January 2003
| arxiv = astro-ph/0301279 |bibcode = 2003astro.ph..1279C }}
* {{citation
| last1 = Ciardullo
| first1 = Robin
| title = The Planetary Nebula Luminosity Function
| journal =
| date = July 2004
| arxiv = astro-ph/0407290 |bibcode = 2004astro.ph..7290C }}
* {{citation
| last1 = Ferrarese
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| first3 = John
| last4 = Kennicutt
| first4 = Robert C.
| last5 = Mould
| first5 = Jeremy R.
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| first1 = George H.
| title = Planetary nebulae as standard candles. I - Evolutionary models
| journal = Astrophysical Journal
| date = April 1, 1989
| volume = 339
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| last4 = Sandin
| first4 = C.
| title = The evolution of planetary nebulae IV. On the physics of the luminosity function
| journal =
| date = August 2007
| volume =473
| issue = 2
| bibcode = 2007A&A...473..467S
| doi= 10.1051/0004-6361:20077437
| arxiv=0708.4292
| s2cid = 56363650
}}
{{refend}}
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