Abstract
Two possible methods for measuring the average energy of relativistic particles in collimated beams are described. The first one is a simple conventional method (or a double-reflection method) when a trigonal prism-radiator is added to a plane-parallel radiator. As a result, two cones of Vavilov-Cherenkov radiation emerge through the faces of the prism-radiator. This allows the four fold measurement of average particle energy and the achievement of double the accuracy of the original method during a single exposure. The second method is a combined one in which an achromatic prism is added to the so-called simple method (or a double-reflection one). This makes it possible to considerably decrease the required particle flux and automate the process of measuring the energy. The formulas and examples of the calculations are given.
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