The abundance discrepancy in ionized nebulae: which are the correct abundances?

Ionized nebulae are key to understanding the chemical composition and evolution of the Universe. Among these nebulae, H~{\sc ii} regions and planetary nebulae are particularly important as they provide insights into the present and past chemical composition of the interstellar medium, along with the nucleosynthetic processes involved in the chemical evolution of the gas. However, the heavy-element abundances derived from collisional excited lines (CELs) and recombination lines (RLs) do not align. This longstanding abundance-discrepancy problem calls into question our absolute abundance determinations. Which of the lines (if any) provides the correct heavy-element abundances? Recently, it has been shown that there are temperature inhomogeneities concentrated within the highly ionized gas of the H~{\sc ii} regions, causing the reported discrepancy. However, planetary nebulae do not exhibit the same trends as the H~{\sc ii} regions, suggesting a different origin for the abundance discrepancy. In this proceedings, we briefly discuss the state-of-the-art of the abundance discrepancy problem in both H~{\sc ii} regions and planetary nebulae.Comment: Submitted to the Proceedings of IAU Symposium 384: Planetary Nebulae: a Universal Toolbox in the Era of Precision Astrophysics. Eds: O. De Marco, A. Zijlstra, R. Szczerb

The kinematical behavior of Galactic PNe with [WC] central star

High resolution spectroscopic data of a large sample of galactic planetary nebulae with [WC] central stars ([WC]PNe) are analyzed to determine their kinematical behavior. Their heliocentric velocities have been determined with a precision better than a few km/s. Distances obtained from the literature are used to derive the peculiar velocities of the objects.Comment: Poster contribution (2 pages, 1 figure) to IAU Symposium 283: "Planetary Nebulae: An Eye to the Future" held in Puerto de la Cruz, Tenerife, Spain in July 25th-29th 201