Fonds comprises research materials, manuscript essays, teaching materials, and some private correspondence and obituary materials. Research materials largely stem from Bieler's period as a graduate student at McGill and Cambridge. These consist of solutions to mechanics problems (1919), lecture notes for a course on tenser calculus by Prof. Gillson of Cambridge (1922-1923) and five notebooks containing experimental observations at the Cavendish Laboratory and reading notes concerning atomic physics (1919-1925). Amongst a large collection of Bieler's off-print articles are two manuscripts for papers on "Fermi-Dirac Statistical Mechanics and some applications" and "A new method for the detection and investigation of ore deposit by means of electric currents" (ca 1928). Bieler's lecture notes are available for a university course in statics (1926-27) and for a course on telegraphy he gave to the McGill C.O.T.C. (1920).

Apart from a memo on differential calculus from L.V. King (1926), Bieler's private correspondence consists of seven letters written by Bieler to Prof. A.S. Eve from Australia, describing his work on the mining expedition. These letters form part of a file of letters of tribute to Bieler and other obituary materials assembled by A.S. Eve. (1919-31). As well, there are a few letters to and from Bieler's family concerning the donation of his library to McGill.