Sorry about the confusion. I would say for our purposes diatoms and macro algae are about the same even though diatoms have a shell and the weight percent of nitrogen is possibly lower.
The point I was making was that you are unlikely to grow enough diatoms to make a difference without turning your system into what looks like split pea soup. And then there is the matter of harvesting diatoms.
What would be useful to know is the weight of diatoms per cc we can expect to grow in an aquarium. Then we could calculate some expected nutrient export rates forvyour idea.
OK, I dug up some numbers from
http://www.fao.org/docrep/007/y5720e/y5720e08.htm
Assuming I correctly interpretted the data table, based on a million diatom cells per cc, selecting 27 micrograms organic matter per million cells, and assuming the organic matter is 6% nitrogen, I come up with a whopping 7 ppm of nitrate consumption possibility. Even at a 100,000 diatoms per cc this is a substantial nutrient capture, if you can filter out the cells.
Diatom organic mass per million cells ug 2.7E-05
Cells/cc 1.00E+06
Mass per liter ug/l 2.7E+04
Nitrogen Content ug/l 1.62E+03
Nitrate Equivalent mg/l 7.17E+00
I love numbers.
How cloudy is water with 1 million diatoms per cc?
Dan