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On August 24, 1898 he married Ida, then in 1899 he returned to the University of Michigan to work as an instructor and finish his doctorate. He completed his PhD in physics in 1902, and immediately took a position on the faculty of the University, where he remained for the next 38 years.<ref name="faculty-history-project" />
In 1910 Randall moved abroad to work under Professor [[Friedrich Paschen]] at the [[University of
Prior to 1910, the Michigan Physics Department had focused on precision [[metrology]]. Dr. Randall, who took all of his degrees at Michigan, initially specialized in that subject. In 1902, his PhD thesis measured the [[thermal expansion|coefficient of expansion]] of quartz. During his 1910-11 sabbatical year in [[Tübingen]], [[Germany]] he met [[Friedrich Paschen]] and became an expert in [[infrared spectroscopy]]. [[Quantum mechanics]] did not yet exist as a field, and the study of atomic spectra was largely ''ad hoc'' experimentation with very little theoretical underpinning. This was also the training Randall received as a young physicist. But Randall came home from his 1910 sabbatical at
==Theoretical physics==
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