Criteria for the equivalence of spherical and cylindrical proportional counters in microdosimetry

Journal Article · Fri May 01 04:00:00 EDT 1981 · Radiat. Res.; (United States)

DOI:https://doi.org/10.2307/3575505· OSTI ID:6463424

Kellerer, A M

The proximity functions, or the closely related geometric reduction factors, of cylinders and spheres are compared in order to assess the degree of equivalence that can be achieved if cylindrical microdosimetric detectors are substituted for spherical instruments. Equality of the dose mean energy imparted per event, anti epsilon/sub D/, is chosen as a criterion for equivalence. A cylinder of height and diameter equal to 0.895 d is found to be closely equivalent to the sphere of diameter d. The equivalence is largely preserved even if the radiation is unidirectional and perpendicular to the axis of the cylinder. The equivalence does not pertain to the frequency mean energy imparted per event, anti epsilon/sub F/, or to the event frequencies, PHI, per unit absorbed dose. Cubes are also considered, since they are occasionally invoked in microdosimetric computations. One finds that a cube of side length 0.837 d is most closely equivalent to a sphere of diameter d. The quantity anti epsilon/sub D/ for the cube cannot differ by more than 4% from the value of the sphere.

• Research Organization: Universitaet Wuerzburg, Germany
• OSTI ID: 6463424
• Journal Information: Radiat. Res.; (United States), Journal Name: Radiat. Res.; (United States) Vol. 86:2; ISSN RAREA
• Country of Publication: United States
• Language: English

Related Subjects

440102* -- Radiation Instrumentation-- Radiation Dosemeters
46 INSTRUMENTATION RELATED TO NUCLEAR SCIENCE AND TECHNOLOGY
CYLINDERS
DOSE EQUIVALENTS
DOSIMETRY
ENERGY TRANSFER
GEOMETRY
INTEGRALS
LET
MATHEMATICS
MEASURING INSTRUMENTS
MICRODOSIMETRY
PROPORTIONAL COUNTERS
RADIATION DETECTORS
SPHERES