Try visiting my site, and scroll down towards the bottom of the page, to the section for Optiforms Reflector Coating Comparision, follow that link.
**broken link removed**
When looking at the chart, in case you are not aware of it, the visible range is roughly 400nm-700nm.
Even extremely mirror polished aluminum will quickly drop down to the 80% range as it rapidly builds up an oxide on the surface. Other coatings like Bright Nickel will put you into the 60% reflectance range, another common reflector "mirror" coating is Rhodium- it is in the 78% range. Protected Al and Protected silver coatings are becomming more popular, they coat them with a silicon dioxide overcoat, but I have not see it in stock fixtures, however, you can spend 20 dollars to get the special mirror material for short aquarium lights. They charge a lot, but the basic material is mass produced now, and ranges 0.50 to 1.00 USD per square foot- way too expensive for fixtures- their profit margins on fixtures are quite nice...
There is a problem with downconversion, where there are losses due to the Stokes effect. Toyoda-Gosei made a UV die LED, with three different available phosphors, I think they came out four years ago. Not too common on this side of the ocean.
If you were not aware of it, about a year or two ago, 280nm UV LEDs came out. They were developed for military decontamination purposes, with a civilian side off-shoot for a long lasting water purfication UV source:
https://www.electro-tech-online.com/custompdfs/2007/03/uvtop280.pdf
Anyhow, there are a number of other references around those given on my website page, if you'd like to compare some other reflector materials, or learn more.