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The sleep research suggests that the length of the nap effects how one feels upon awakening.

Generally speaking, a nap of less than an hour is short enough that the napper will not have entered REM sleep - the deep sleep phase where dreams occur.

Waking a napper from REM sleep is unpleasant and disruptive.

For that reason, I generally limit myself to naps of 20-40 minutes when I need a small psychological/physiological boost - for instance when I travel to Europe and am fighting jet lag. A 40 minute nap at around noon (or 6.00 am for my midwestern US-accustomed body) gives me enough rest to make it through the rest of the day. A two hour "mini-sleep" just exacerbates my circadian arrhythmia.


Of course, people who are seriously sleep deprived can fall into REM-phase sleep much quicker. Someone who has been without sleep for 36-48 hours will generally start REM sleep within just a few minutes of drifting off.
 
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