Optimum door gap?

I am in the process of installing the interior doors in a new house. With regards to ensuring good air circulation, what is the suggested or optimum gap between the door bottom and the floor? Thanks........
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About an inch is the only practical gap. Any more and it will start looking odd. Also as the gap increases the sound proofing goes down.

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Like Paul said... have a return air duct system installed..... and as far as the clearance under a door, whatever it takes to clear the rugs/carpet and still be able to open/close the door.
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Appx 80in
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