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I understand from experience that UHF is generally more suitable in built up, urban environments and VHF produces slightly longer ranges but I've yet to find a straightforward and convincing explanation why. I've asked my current lecturer who has given me some information about back scattering and that the higher frequency RF is back scattered less, thus propagating further around angular, man-made structures but I still can't rationalise this into an intuitive, logical understanding to understand what it is about the frequency that changes its diffraction properties.

Is there a mathematical or other logical explanation at all that can explain this?