학술논문

Mathematical model of beam intensity dispersion at the detector plane in a molecular-beam apparatus
Document Type
Journal Article
Author
Source
Rev. Sci. Instrum.; (United States); 54:3
Subject
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS MOLECULAR BEAMS
MATHEMATICAL MODELS
APERTURES
BOLTZMANN STATISTICS
DISTRIBUTION FUNCTIONS
EQUATIONS
FLUX DENSITY
SHAPE
THEORETICAL DATA
VELOCITY
BEAMS
DATA
FUNCTIONS
INFORMATION
NUMERICAL DATA
OPENINGS 640301* -- Atomic, Molecular & Chemical Physics-- Beams & their Reactions
Language
English
Abstract
A mathematical model of intensity dispersion at the detector plane in a molecular-beam apparatus has been developed for the case of a ribbon-shaped beam effusing from a narrow rectangular slit. The model is developed in terms of position probability distribution functions and Maxwellian velocity distribution functions. The relation derived for the axial flux density is nv-bar(..delta..x')(..delta..x')/4..pi../sup 2/L/sup 2/ in units of number of particles per unit area per unit time. A plot of flux density versus off-axis position agrees with the reported distributions obtained experimentally.