The Molière radius is a characteristic constant of a material giving the scale of the transverse dimension of the fully contained electromagnetic showers initiated by an incident high energy electron or photon. By definition, it is the radius of a cylinder containing on average 90% of the shower's energy deposition. Two Molière radii contain 95% of the shower's energy deposition. It is related to the radiation length by the approximate relation , where is the atomic number.Molière Radius The Molière radius is useful in experimental particle physics in the design of calorimeters: a smaller Molière radius means better shower position resolution, and better shower separation due to a smaller degree of shower overlaps.
The Molière radius is named after German physicist Paul Friederich Gaspard Gert Molière (1909–64).Phillip R. Sloan, Brandon Fogel, "Creating a Physical Biology: The Three-Man Paper and Early Molecular Biology"
University of Chicago Press, 2011
Molière radii for typical materials used in calorimetry LYSO crystals: 2.07 cm Lead tungstate crystals: 2.2 cm Caesium iodide: 3.5 cmAtomic and nuclear properties of cesium iodide (CsI) Liquid krypton: 4.7 cm Liquid argon: 9.04 cmAtomic and nuclear properties of materials: Liquid argon (Ar) (Ar) Earth's atmosphere at sea level: 79 m Earth's atmosphere above ground: 91 m
References