A simple, reliable method of schwertmannite synthesis involving oxidation of FeSO4 (an Fe(II) species) with H2O2 is outlined in:
Regenspurg, S.; Brand, A.; Peiffer, S. Formation and stability of
schwertmannite in acidic mining lakes. Geochim. Cosmochim.
Acta 2004, 68, 1185–1197.
(see Method 2 - page 1188).
This approach for synthetic schwertmannite preparation has been used in multiple other studies (e.g. Burton E.D. et al. (2009) Sorption of arsenic(V) and arsenic(III) to schwertmannite. Environmental Science and Technology 43 (24), 9202–9207).
The approach is simple. One of the few drawbacks is that this method does not lead to the development of the ''pin-cushion'' surface morphology that is typical of natural, biogenic schwertmannite precipitates.