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Homework

Please write and run a FORTRAN code to:

1. Find the group 12 hydrogen total group and elastic scattering group-to-group scattering cross sections for scattering from group12 to groups 12-18 of the 27 group SCALE energy group structure:

      gp    energy             lethargy         weighted       broad gp     calc      group 
       boundaries          boundaries       velocities        numbers     type       band 
    1  2.00000E+07 -6.93147E-01  4.60581E+09       1            0            1 
    2  6.43400E+06  4.40989E-01  2.88737E+09       2            0            2 
    3  3.00000E+06  1.20397E+00  2.12201E+09       3            0            3 
    4  1.85000E+06  1.68740E+00  1.75673E+09       4            0            4 
    5  1.40000E+06  1.96611E+00  1.46535E+09       5            0            5 
    6  9.00000E+05  2.40795E+00  1.06620E+09       6            0            6 
    7  4.00000E+05  3.21888E+00  6.07557E+08       7            0            7 
    8  1.00000E+05  4.60517E+00  2.72415E+08       8            0            8 
    9  1.70000E+04  6.37713E+00  1.13526E+08       9            0            9 
   10  3.00000E+03  8.11173E+00  4.82126E+07      10            0           10 
   11  5.50000E+02  9.80818E+00  2.05946E+07      11            0           11 
   12  1.00000E+02  1.15129E+01  1.01036E+07      12            0           12 
   13  3.00000E+01  1.27169E+01  5.69595E+06      13            0           13 
   14  1.00000E+01  1.38155E+01  3.20957E+06      14            0           14 
   15  3.04999E+00  1.50030E+01  2.10601E+06      15            0           15 
   16  1.77000E+00  1.55471E+01  1.70522E+06      16            0           15 
   17  1.29999E+00  1.58557E+01  1.52545E+06      17            0           15 
   18  1.12999E+00  1.59959E+01  1.42867E+06      18            0           15 
   19  1.00000E+00  1.61181E+01  1.31002E+06      19            0           15 
   20  8.00000E-01  1.63412E+01  9.29104E+05      20            0           15 
   21  4.00000E-01  1.70344E+01  8.15206E+05      21            0           15 
   22  3.25000E-01  1.72420E+01  6.90059E+05      22            0           15 
   23  2.25000E-01  1.76098E+01  4.86933E+05      23            0           15 
   24  9.99998E-02  1.84207E+01  3.57766E+05      24            0           15 
   25  5.00000E-02  1.91138E+01  2.71895E+05      25            0           15 
   26  3.00000E-02  1.96247E+01  1.87283E+05      26            0           15 
   27  1.00000E-02  2.07233E+01  8.88202E+04      27            0           15 
   28  1.00000E-05  2.76310E+01 

  [My answers: SigmaT12 = 20.4614,  SigmaS12->12=8.566, 12->13=7.926, 12->14=2.754, 12->15=0.5072, 12->16=0.1863, 12->17=0.06737, 12->18=0.05151]

2. Find the group 12 total cross sections for U-235 and U-238 in the same groups with sigma-0 values of 0, 0.1, 1, 10, 100, 1000, and infinity

[My answers:  U235=41.33, 41.37, 41.72, 44.50, 55.35, 68.82, 74.05
                       U238=10.35, 10.37, 10.57, 11.81, 16.40, 32.75, 116.75]

Use the following data from the class Public Folder:

    Continuous cross sections:
      U-235:   92235.pxs
      U-238:  92238.pxs
          H:      1001.pxs
          O:      8016.pxs  (Not needed for this assignment)

Note that there is a FORTRAN example that explains and reads the data in the public area under PXS.FOR.

[Hint: You should expect APPROXIMATE agreement with the data used in the previous assignment]

Please e-mail your results (with your code attached, if possible) to me:
 
 

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