# Revealing the dust grain size in the inner envelope of the Class I protostar Per-emb-50

## TL;DR

This study uses multi-wavelength millimeter observations and modeling to determine dust grain sizes in the inner envelope of a Class I protostar, revealing grains no larger than 100 micrometers, which informs early star formation and planet formation theories.

## Contribution

First to constrain dust grain sizes in the inner envelope of a Class I protostar using combined observational and radiative transfer modeling.

## Key findings

- Envelope dust grains are no larger than 100 micrometers.
- The envelope's structure influences millimeter emission from the disk.
- Dust spectral index in the envelope is similar to ISM values.

## Abstract

A good constraint of when the growth of dust grains from sub-micrometer to millimeter sizes occurs, is crucial for planet formation models. This provides the first step towards the production of pebbles and planetesimals in protoplanetary disks. Currently, it is well established that Class II objects have large dust grains. However, it is not clear when in the star formation process this grain growth occurs. We use multi-wavelength millimeter observations of a Class I protostar to obtain the spectral index of the observed flux densities $\alpha_\mathrm{mm}$ of the unresolved disk and the surrounding envelope. Our goal is to compare our observational results with visibility modeling at both wavelengths simultaneously. We present data from NOEMA at 2.7 mm and SMA at 1.3 mm of the Class I protostar, Per-emb-50. We model the dust emission with a variety of parametric and radiative transfer models to deduce the grain size from the observed emission spectral index. We find a spectral index in the envelope of Per-emb-50 of $\alpha_{\rm env}$=$3.3\pm0.3$, similar to the typical ISM values. The radiative transfer modeling of the source confirms this value of $\alpha_{\rm env}$ with the presence of dust with a $a_\mathrm{max}$$\leq$100 $\mu$m. Additionally, we explore the backwarming effect, where we find that the envelope structure affects the millimeter emission of the disk. Our results reveal grains with a maximum size no larger than $100$ $\mu$m in the inner envelope of the Class I protostar Per-emb-50, providing an interesting case to test the universality of millimeter grain growth expected in these sources.