Statistical Error in Molecular Cross Section Measurements

Statistical Error in Molecular Cross Section Measurements

The probability that a set of counts of particles transmitted over a measured path through a gas at a sequence of pressures can correspond to a particular value of the total cross section is calculated. From this, recipes are given for determining the best value of the cross section and of its mean...

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Veröffentlicht in:Rev. Sci. Instrum., v. 44, no. 7, pp. 860-867 v. 44, no. 7, pp. 860-867, 1973-07, Vol.44 (7), p.860-867
Hauptverfasser: Baldwin, George C., Miller, Kenneth J.
Format: Artikel
Sprache:eng
Schlagworte:
MOLECULE COLLISIONS- TOTAL CROSS SECTIONS
N60400 -Physics (Atomic & Molecular)-Collision Phenomena
PRESSURE MEASUREMENT
PROBABILITY
RANDOMNESS
STATISTICS
VARIATIONS MOLECULE COLLISIONS
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Beschreibung
Zusammenfassung:The probability that a set of counts of particles transmitted over a measured path through a gas at a sequence of pressures can correspond to a particular value of the total cross section is calculated. From this, recipes are given for determining the best value of the cross section and of its mean square deviation, for evaluating the random and systematic errors in the cross section caused by random fluctuations in gas pressure and errors in the reading of gas pressure, and for prescribing the parameters of an experiment to achieve maximum precision in a given time of measurement.
ISSN:0034-6748
1089-7623
DOI:10.1063/1.1686265