By Stephen A. Dupree, Stanley K. Fraley
In quantity 1, A Monte Carlo Primer - a pragmatic method of Radiation delivery (the "Primer"), we try to supply an easy, handy, and step by step method of the improvement, uncomplicated knowing, and use of Monte Carlo equipment in radiation delivery. utilizing the computer, the Primer starts off by means of constructing simple Monte Carlo codes to unravel easy delivery difficulties, then introduces a educating software, the Probabilistic Framework Code (PFC), as a typical platform for assembling, checking out, and executing many of the Monte Carlo recommendations which are provided. This moment quantity makes an attempt to proceed this method through the use of either customized Monte Carlo codes and PFC to use the techniques defined within the Primer to acquire suggestions to the routines given on the finish of every bankruptcy within the Primer. a comparatively modest variety of workouts is incorporated within the Primer. a few ambiguity is left within the assertion of a number of the workouts as the reason isn't to have the consumer write a specific, uniquely right piece of coding that produces a particular quantity for this reason, yet relatively to motivate the person to consider the issues and strengthen additional the strategies defined within the textual content. simply because normally there's multiple method to resolve a Monte Carlo shipping challenge, we think that operating with the thoughts illustrated by means of the workouts is extra vital than acquiring somebody specific solution.
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Additional info for A Monte Carlo Primer: Volume 2
4. All of the results shown here are based on 106 start particles in order to obtain accurate estimates for a. For comparison purposes, both the standard deviations that would be obtained by assuming a binomial distribution and those that would be obtained assuming counting statistics (the square root of the number of counts) are presented. 14, with the largest value being obtained ncar the source and the smallest value occurring near the outer edge of the sphere. 8. 7 with a == I gives results that are low over most of the volume of the sphere, but only by about 10%.
0 MeV the result will again decrease continuously with decreasing energy, ending at a value of about 66 collisions for Eo = I + 8 MeV, where 8 is a small, positive number. This discontinuity, which occurs exactly at the required source energy, may cause the Fortran used to solve the exercise to produce an interesting and possibly unexpected anomaly. Because of the manner in which digital computers treat floating point numbers, and specifically the way in which numbers less than one are represented, with some compilers this code may give an incorrect result.
Get post collision energy EP NSCAT = NSCAT + 1 IF (NSCAT. LT. 10000) CYCLE Loop_Oller_Energy (If 10000 scatterings do not suffice to reach the Cd cutoff, the downscatter is terminated. ) WRITE (', *) 0 MJre than 10000 collisions required, particle " I CYCLE Loop OJer Particles END ro Loop oJer Energy 'ITlLLY = TALLY -:;: NSCAT; TALLYSQ = TALLYSQ + NSCAT**2 ! ocp Oller Particles ! 21 P to estimate the number of collisions required to reduce a I-MeV neutron to the Cd cutoff energy for A = 12. 1578.