He was active in several fields, contributing to the establishment of an astronomical observatory in Turku as well as initiating the earliest systematic meteorological observations in Finland.
He was respected as a scientist and in 1830 his children were ennobled and subsequently had their surnames changed to af Hällström in recognition of their father's achievements.
[1] Within the field of acoustics, Hällström made research on combination tones, with the help of experiments carried out on the organ of Turku Cathedral.
[1] Hällström was instrumental in creating a rudimentary observatory in Turku and to engage initially Henrik Johan Walbeck and later Friedrich Wilhelm Argelander as astronomers there.
The systematic meteorological observations he had initiated yielded further subjects for his research, which also included studies of aurorae, the forming of ice on rivers and directions of prevailing winds in Finland.