he was elected as a member of the ussr academy of sciences in 1946. he was a foreign member of royal society of london (1960), national academy of sciences of the united states of america (1960), royal danish academy of sciences and letters (1951), royal dutch academy of arts and sciences (1956), american academy of arts and sciences (1960) and german national academy of sciences leopoldina (1964), french physical society and the london physical society.