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Harald became the first of the two Bohr brothers to earn a master's degree, which he earned for mathematics in April 1909. Students had to submit a thesis on a subject assigned by their supervisor.
Bohr's supervisor was Christiansen, and the topic he chose was the electron theory of metals.
He also studied astronomy and mathematics under Professor Thorvald Thiele, and philosophy under Professor Harald Høffding, a friend of his father.
In 1905, a gold medal competition was sponsored by the Royal Danish Academy of Sciences and Letters to investigate a method for measuring the surface tension of liquids that had been proposed by Lord Rayleigh in 1879.
Bohr's thesis was groundbreaking, but attracted little interest outside Scandinavia because it was written in Danish, a Copenhagen University requirement at the time.
In 1921, the Dutch physicist Hendrika Johanna van Leeuwen would independently derive a theorem from Bohr's thesis that is today known as the Bohr–van Leeuwen theorem.
To complete his experiments, he had to make his own glassware, creating test tubes with the required elliptical cross-sections.