Well, since noone else answered...
HQI is a brand name for double-ended Metal Halide HID lamps. They are fairly common, the technology is used rather regularly. The main difference between the two, is that HQI bulbs have two contact points, whereas Mogul's screw in like a regular light bulb - one contact point. This should be important to you, as you will need different sockets/reflectors to handle mogul or HQI-style bulbs.
The theory is that HQI's burn a little hotter and brighter, because they have a longer Arc inside the tube (the "arc-tube" is that 'warp-core' looking thing on the inside of the MH bulb). The bigger the arc, the more gas that gets excited, and the more light it gives off. They do pull slightly more current I believe as well, and are known to kick out a fair amount of UV light (so watch yourself around one).
Mac..... "Warp Core" are you a trekkie?.....lol.....
All told, since you mention you're setting up a clam tank, I'd say the HQI's are better suited - they are more intense, and will penetrate deeper than mogul lamps (albeit very slightly more).
- Mac