OK. I wanted to post a few basic things just in case anyone doesn't know and to avoid potential misunderstandings.
First: as udaman states, a "halogen" lamp is a lamp that has a small amount of a halogen, such as iodine or bromine, added to the inert fill gasses. The inert fill gass (or gasses) are some combination of argon, krypton, or xenon. So a "halogen" bulb, may well have xenon as the fill gas. And I very much doubt that any company out there makes a lamp with the very expensive xenon fill gas which is NOT a halogen.
Second: the inert fill gas itself reduces the vaporization of the filament, and thus also reduces the rate at which the tungsten atoms adhere to the walls of the glass bulb and blacken it. But without a halogen in the mix, this WILL eventually happen. One example is the stock mini-mag lamps. They are not halogens, and they inevitably blacken over time; it's that characteristic shinny blackish grey you may have seen. On the other hand, the Nexstar T1 Xenon lamps (which are a drop in replacement for the stock mini-mag lamps) do not blacken over time. Until the moment they blow, those lamps are every bit as bright as they were to begin with.
Third: this non-dimming characteristic of halogen bulbs is because of something called "the halogen cycle". When a tungsten atom adheres to the wall of the glass, a halogen atom comes along and binds with it, and the two of them float around in the fill gas until at some point they come close to the high temperature filament. At this point, the reverse occurs, and the halogen releases the tungsten atom where it re-deposits on the filament. Unfortunately, it does not redeposit in the same place as before, and the thin spots tend to get thinner, and the thick spots thicker, until the filament gets so thin at one place that it breaks (usually at start up). Modern halogen lamps can be run at almost any practical level of over or under drive, and the halogen cycle will still work. Don't worry about flashing your light--just use it. It will stay clear.
Fourth: --and this is really what I wanted to get to-- all other things being equal a xenon/halogen lamp will be slightly brighter and whiter than a krypton/halogen lamp. But that said, I must point out that the filament geometry plays the MOST important role in how a lamp will perform with a given set of batteries. The LENGTH of the filament is proportional to the VOLTAGE needed to produce a given filament temperature (and thus brightness) while the THICKNESS of the filament is directly (but not linearly) related to the CURRENT the lamp will draw at any given voltage. Xenon lamps are not more likely to "pop" than krypton lamps. The length and thickness of the filament is what determines how under or over driven any given lamp is at any given voltage.
Same goes for beam profile and characteristics: whether or not a lamp is filled with xenon or krypton really has almost nothing to do with whether or not the beam will have artifacts or not, or how smooth or round it will be. The filament geometry and reflector geometry and surface determine that.