He was appointed lecturer in chemistry at the University of Glasgow in 1787, and professor of medicine in 1789. In January 1788, on the proposal of John Walker, Daniel Rutherford and Alexander Monro, he was elected a Fellow of the Royal Society of Edinburgh. In 1791-2 Hope completed experiments on the chemical element strontium, proposing the name Stronities for it, after Strontian, the west highland village where he found strontianite. The element was later renamed to Strontium. On 4 November 1793, Hope presented his findings, An account of a Mineral from Strontian and of a Peculiar Species of Earth which it contains, to the Royal Society of Edinburgh. In the experiment that bears his name, Hope determined the maximum density of water and explained why icebergs float.
Edinburgh and the University
Hope was elected a Fellow of the Royal Society of Edinburgh in 1788 and served as its Vice President from 1822 to 1833. In 1791 following the death of his uncle, Alexander Stevenson, Hope succeeded him in his uncle's role as Professor of Medicine at Glasgow University. In 1795 Hope was selected by Joseph Black as his assistant and eventual successor to the professorship of medicine and chemistry at the University of Edinburgh. Hope’s goal was to more fully combine the practice of medicine with his chemical instruction. In 1800 Hope won the annual Edinburgh Arrow archery competition. In 1804 he became a member of the Highland Society. In May 1810 he was elected a Fellow of the Royal Society of London. From 1815 to 1819 he served as President of the Royal College of Physicians of Edinburgh. Between 1824–40 Hope worked with scientists based in Poissy, France. With the town's major, Jean-François Senincourt, he tried to establish a university in the town. Within a few years their aims began to be realised as medical students crowded his lectures. In the 1830s he is listed as living at 31 Moray Place, a large townhouse in the Moray Estate on the western edge of Edinburgh's New Town. In 1843 he resigned the professorship. He died at his home, 31 Moray Place in Edinburgh's West End in 1844. He is buried in Greyfriars Kirkyard in central Edinburgh. The grave lies against the western wall of the original churchyard, towards the north-west corner.
Works
Hope's apparatus
Hope's apparatus consists of a vertical vessel full of water surrounded round the middle by a trough of cooling ice. Two thermometers, one above and one below the trough, measure the temperature of the water. It is designed to demonstrate that water reaches its maximum density at. As the water in the central part of the vessel cools towards it sinks to the bottom of the vessel, displacing the warmer water. The lower thermometer will then read a constant. Further cooling towards will cause the now less dense water to rise to the top of the vessel, where the upper thermometer will then read a constant.