Mueller in 1871 was made a hereditary baron by the King of Württemberg [then a German state], having been granted his `von' in 1867. He was invested with CMG in 1869 and KCMG in 1879. He was awarded a royal medal of the Royal Society, London, in 1888 and won many European honours: Deirdre Morris, Mueller, Sir Ferdinand Jakob Heinrich von (1825–1896), Australian Dictionary of Biography, National Centre of Biography, Australian National University, http://adb.anu.edu.au/biography/mueller-sir-ferdinand-jakob-heinrich-von-4266/text6893, published first in hardcopy 1974, accessed online 10 June 2016.