The "Local Hot Bubble" is an irregularly shaped low-density cavity in the ISM surrounding the sun. It is filled with a million degree hot plasma emitting soft X-rays. We have discovered a neutral dense filament located in the Local Hot Bubble. It has low kinetic temperatures, high space densities and is seen to cast a deep shadow in the ROSAT C-Band soft X-ray observations. The existence of neutral dense matter in the LHB is surprising in the first place. Either the filament formed recently in the LHB, or it did survive for a very long time; both explanations are a challenge to our understanding of the ISM. This part of the proposal addresses the question about the temperature and composition variations of the dust across the filament. As it is located in a hot plasma region we expect a temperature gradient and an increased number of small particles towards the cloud core. This filament is a unique object to study the influence of a hot surrounding on the dust and gas phase on a predominatly atomic hydrogen cloud. As the cloud is located in the vicinity of the sun this analysis will provide additional information on the radiation field in the local surrounding.