Lutetium is the heaviest and rarest of the lanthanides, with extremely low crustal abundance and difficult extraction and separation, which makes it expensive and concentrates its uses in a handful of frontier fields. Its most iconic application is as a scintillator host material for PET (positron emission tomography) detectors: cerium-doped lutetium oxyorthosilicate crystals convert gamma photons into visible light, giving whole-body hospital PET scanners high-sensitivity, high-resolution tumor imaging - currently lutetium's largest and most irreplaceable use. In petrochemicals, lutetium compounds serve as specialized catalysts in petroleum fluid catalytic cracking; although far smaller in volume than light rare earths such as lanthanum and cerium, they still hold a place in fine-chemical processes demanding high activity, long life and selectivity. Lutetium is also used as a minor constituent in certain specialty laser crystals, alloy additions and magnetic materials, and as scintillators and targets in nuclear-physics research. Because it almost always occurs in nature associated with heavy rare earths such as yttrium and gadolinium, separation costs are high and industrial scale remains small - a textbook strategic metal consumed in tiny amounts but irreplaceably.
Lutetium oxide (Lu2O3) is the most common oxide of lutetium, a white powder used mainly as a doping host for optical glasses and scintillation crystals, and as the starting material for making lutetium metal and other lutetium compounds. Lutetium chloride (LuCl3) is the main halide of lutetium, used in laboratory synthesis and as a catalyst precursor, in small quantities in petroleum fluid catalytic cracking and certain organic-synthesis reactions. Cerium-doped lutetium oxyorthosilicate (LSO:Ce, often written Lu2SiO5:Ce) is lutetium's most iconic compound application: a high-performance scintillation crystal with high density, high light output and fast decay time, widely used in the detector arrays of hospital PET scanners as well as in nuclear-physics experiments and gamma-ray detection for security screening. Beyond these, lutetium nitrate, lutetium fluoride and other lutetium compounds are used only in trace amounts in research and specialty optical materials, with no large consumer market.