If you fill in only one field, the search is performed only on the selected criterion, while the others can take any value. If you use two or more criteria, a logical AND is applied between the criteria. For example: if you specify family: carbonate containing the element Na and having uranium as an intrinsic activator, you will get 6 results: andersonite, cejkaite, grimselite, leoszilardite, natromarkeyite, and schroeckingerite.
If you enter no criteria and run a search, you will get the complete list of all luminescent minerals since there is no discriminating factor.
At the bottom of the page in "Display of Results," you can select the display of the chemical formula, activators, spectral data, and luminescence colors in addition to the names corresponding to your search.
For a generic search (fluorescent uranium minerals, tenebrescent minerals, or a list of minerals from Franklin, for example), the guides might be simpler to use.