You would realize a theoretical gain of 3DB if you were to use a 5/8 wave antenna, not a quarter wave. The quarter wave has only unity gain.
On VHF the 5/8 would give better results in most cases than the quarter wave, but instead of just slapping
the thing together like you do with a quarter wave the 5/8 requires some kind of matching transformer at its base. If you shop around almost all of these types of antennas can be store-bought these days pretty cheap.
I belive I said dBi - not dB (your comment was in reply to my earlier note, or do I stand to be corrected?), in any event the 3dB gain you quote, if a 5/8's is used ........
This 3dB is versus what - an isotropic reference, a 1/4wave reference (i.e. dBd) or a 1/4 wave ground plane (i.e. 1/2 wave dipole) - and is this absolute or relative?
From my side the 3dBi figure I gave mean't 1dB (absolute) gain compared to a 1/4 wave reference (i.e. dBd)
On the question of which would be better - 5/8 or 1/4, well assuming space allowed for setting up a 5/8's for the given wavelength the OP has in mind, and keep in mind that a 5/8's versus a 1/4wave for a given wavelength (frequency) is going to be around 3 times longer, folk - yes, it will indeed offer higher peak gain, but but - that extra gain is no free lunch: expect the 5/8's t be more "peaky" than the 1/4wave i.e. the additional gain obtainable from a 5/8's will be offset by a narrower -3dB bandwidth, outside of which the 5/8's may well turn out to be a weaker performer than the 1/4wave.
As this is a scanner application, I think I'd prefer to sacrifice peak gain for better/wider/more spread out day to day -3dB bandwidth performance.
The problem of course is, despite asking sirsmiley to share with me the frequencies and/or bandwidth of interest to him, he has not as yet - so my comment (and opinion) re: use a 1/4wave as opposed to a 5/8wave is, like all the other comments made here (and on other "which is my better choice" kind of threads), really only be valid if the relivant criteria are taken into consideration - and in this case (amongst other considerations) the one consideration has to be: what is the proposed band width coverage the OP has in mind - 1 Octave, 2 Octaves, 500Mhz, 750Mhz .......?
Sirsmiley - what are your frequencies of interest, and how widely are they spread?