18 Questions
What is the total sensitive area associated with the nuclei in the face area of the foil?
ndxAσ
What is the unit of microscopic cross section?
barn (b)
What is the total cross section σtot equal to?
The sum of the particle cross sections σ1, σ2, …
What is the fractional sensitive area f in terms of the number of nuclei per unit volume, the cross-sectional area, and the thickness of the foil?
nσdx
What is the macroscopic cross section Σ equal to?
The product of n and σ
What is the change in intensity of the beam as it passes through the foil?
dI/I
What is the reaction rate (RR) defined as?
The number of nuclear reactions taking place in a unit time
What is the significance of the negative sign in the equation f = -dI/I?
I decreases with x
What is the assumption about the thickness of the foil in the derivation of the equation?
The foil is so thin that the cross-sectional area σ surrounding any nucleus is not shadowed by another nucleus
What is the absorption coefficient α equal to in an absorption-type reaction?
nσ
What is the formula for the intensity I of the beam after it has passed through a foil of thickness x?
I = Io e^-nσx
What is the condition applied to equation (4-7) to obtain the final solution?
I=Io at x=0
What is the formula to calculate the reduced mass of the incident particle and the target nucleus?
Mred = mxMX/(mx+MX)
What is the threshold energy for the reaction 19F(n, p)19O?
4.1 MeV
What is the Q-value of the reaction 19F(n, p)19O?
-3.9 MeV
What is the minimum energy needed for an endoergic reaction to take place?
Threshold energy
What is the probability of a single incident particle interacting with an individual target nucleus?
Cross-section
Why do not all incident particles produce nuclear reactions?
Due to the low probability of interaction
Understand the relationship between beam intensity and particle count as it passes through a foil of varying thickness. Learn how to apply exponential decay laws to model this phenomenon.
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