Irvine was born in Glasgow to factory owner John Irvine (a manufacturer of light-castings) and Mary Paton Colquhoun. He was educated at Allan Glen's School.[4][5]
He then studied at the Royal Technical College, Glasgow, before taking a Bachelor of Science in Chemistry at the University of St Andrews. From there, he went to the University of Leipzig, where he studied for a PhD under Ostwald and Wislicenus. Returning to St Andrews, he was awarded a Doctor of Science degree, and taught Chemistry there. He was appointed Professor of Chemistry in 1909 and Dean of Science in 1912. In 1921, he was appointed Principal. His tenure saw the renovation and restoration of both buildings and traditions, and his works are still talked of today. His commitments spanned further than the University, into higher education in Britain and the colonies. He also served as acting Principal of University College Dundee.[6]
Irvine was also Willard Gibbs Medallist of the American Chemical Society, Elliot Cressan Medallist of the Franklin Institute, Longstaff Medallist of the Chemical Society of London.
He was made a Commander of the Order of the British Empire in 1920 and knighted in 1925[7] and was awarded the Freedom of St Andrews.
Excludes Principals of the prior constituent institutions of the university: St John's College, St Salvator's College, St Leonard's College, and St Mary's College