Between 1864 and 1867 he edited an exsiccata series distributing bryophyte specimens under the title Westfalens Laubmoose, gesammelt und herausgegeben von Dr. H. Müller in Lippstadt.
[2]p27 He was the author in 1873 of Die Befruchtung der Blumen durch Insekten, a book translated at the suggestion of Darwin in 1883 as The Fertilisation of Flowers.
Hermann was the brother of Fritz Müller,[2]p29 the German doctor who lived in Santa Catarina, Southern Brazil and researched its natural history.
Fritz Müller wrote the first book in support of Darwinian evolution in German,"Für Darwin"; he is also known as the discoverer of Müllerian mimicry.
The discussion escalated in 1879 and was even brought to the Prussian Assembly, after Müller had dealt in his teaching with a work by the German Darwinist and popular writer Ernst Krause.