# Effects of extended components of \oiii on the correlation between the \oiii luminosity and the power-law continuum luminosity for active galactic nuclei

## TL;DR

This study analyzes the correlation between extsc{O III} line components and AGN luminosity, finding extended components provide a more accurate tracer of intrinsic AGN power than core components.

## Contribution

It demonstrates that extended extsc{O III} components correlate more strongly with AGN luminosity and are better indicators than core components, highlighting the importance of extended emission in AGN studies.

## Key findings

- Extended extsc{O III} components have a stronger correlation with AGN luminosity.
- Line width and luminosity correlations suggest virial effects, not radial flows.
- Extended components are less affected by obscuration, making them better luminosity tracers.

## Abstract

In this manuscript, we check the well-known correlation between \oiii luminosity and continuum luminosity (\loiiicon) for AGN by a large sample of 1982 SDSS QSOs with $z<0.8$ and with high quality spectra. The strong correlation of \loiiicon can be found, similar as previous results for AGN. Moreover, among the 1982 QSOs, there are 708 QSOs with the [O~{\sc iii}]$\lambda$5007\AA\ described by two components: one core component plus one extended component. Based on the luminosity from the core components ($L_{\rm [O~\textsc{iii}],~narrow}$) and from the extended components ($L_{\rm [O~\textsc{iii}],~ext}$), we confirm that the correlation of $L_{{\rm [O~\textsc{iii}],~ext}}~-~L_{{\rm 5100\textsc{\AA}}}$ is more stronger and tighter than the correlations on the total \oiii luminosity and on the luminosity of the core components of the \oiii lines. Therefore, the luminosity of the extended components should be better applied to trace AGN intrinsic luminosity. Meanwhile, we have found strong line width correlation and line luminosity correlation between the core components and the extended components, indicating the extended components of the \oiii lines should be not due to commonly considered radial flows in the common \oiii line clouds. And virial effects due to gravity of central black holes naturally lead to the wider extended components from regions more nearer to central black holes. Finally, we can say that the reported correlation of $L_{{\rm [O~\textsc{iii}],~narrow}}~-~L_{{\rm 5100\textsc{\AA}}}$ on the core components of the \oiii lines should be more better to estimate AGN intrinsic luminosity in Type-2 narrow line AGN, because of totally/partly obscured extended components.