Difference between revisions of "Simulations of Particle Interactions with Matter"
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<math>P(E) = \frac{1}{kT} e^{-\frac{E}{kT}}</math> | <math>P(E) = \frac{1}{kT} e^{-\frac{E}{kT}}</math> | ||
| − | <math>P(E)</math> represents the probability of any atom in the system having an energy <math>E</math> | + | <math>P(E)</math> represents the probability of any atom in the system having an energy <math>E</math> where |
| + | |||
| + | <math>k= 1.38 \times 10^{-23} \frac{J}{mole K}</math> | ||
=== The Monte Carlo method === | === The Monte Carlo method === | ||
Revision as of 20:28, 30 August 2007
Overview
Particle Detection
A device detects a particle only after the particle transfers energy to the device.
Energy intrinsic to a device depends on the material used in a device
Some device of material with an average atomic number () is at some temperature (). The materials atoms are in constant thermal motion (unless T = zero degrees Klevin).
Statistical Thermodynamics tells us that the canonical energy distribution of the atoms is given by the Maxwell-Boltzmann statistics such that
represents the probability of any atom in the system having an energy where