Q.E.D., your post show a lot of knowledge and insight in various topics of physics, especially in the every day area. I have learned a lot from your posts.
Unfortunately this time you got it just wrong. Perhaps because it is a chemistry question?
The process running in a halogen bulb is called a “transport reaction”: A chemical reaction between a solid and a gas generates a new gaseous compound. The later is able to travel to a different point which shows different conditions and cause the reaction to run reverse. So the solid is deposited again, the gas is free for another round.
The trick with halogens, e.g. chlorine, and tungsten is, they react at cooler places to form the gas WCL6. This falls apart at hotter spots.
As in every light bulb the filament evaporates tungsten atoms which settle eventually down at the cool glass walls of the bulb. There the are picked up by the halogen and deposited preferably at the hottest spot around. This will be the thinnest part of the filament increasing its diameter again.
The filament in a halogen bulb is self-healing.
(Traces of water, for example, would work in the opposite direction and carry away material from the hottest/thinnest part of the filament.)
As a result you can make filaments in halogen lamps thinner from the beginning, making them hotter and increase the output ratio of visible light over infrared, reduce the amount of wasted heat.
The visible light output is nearly twice that of a standard bulb at the same watts input.
Old standard light bulbs develop a layer of tungsten metal on the inside and that will obviously block escaping light. Often you can see blackened spots with the naked eye.
This never happens in a halogen bulb.
MrTuffPaws, I never experienced what you do, nor heard about that. For me the halogens just die some day.
I would like to support gotpasswords idea about corroding contacts, either on the outside of the bulb or ,more probably, at the lamp itself. The greater heat supports faster corrosion.
MrTuffPaws, go and check, perhaps some sandpaper helps.
MummyCave