Simple Cross Sections



Simple cross sections on ENDF files are examples of the general one-dimensional tabulation, or TAB1, record. As an example, here is the section for the (n,2n) reaction in natural silicon from ENDF/B-VI:
      1.400000+4 2.784400+1          0          0          0          01400 3 16 
     -8.473800+6-8.473800+6          0          0          1         121400 3 16
              12          2                                            1400 3 16
      8.778100+6 0.000000+0 1.000000+7 6.166000-3 1.100000+7 1.564000-21400 3 16
      1.200000+7 2.589000-2 1.300000+7 3.650000-2 1.400000+7 4.663000-21400 3 16
      1.500000+7 5.400000-2 1.600000+7 5.620000-2 1.700000+7 5.734000-21400 3 16
      1.800000+7 5.830000-2 1.900000+7 5.870000-2 2.000000+7 5.892000-21400 3 16
      0.000000+0 0.000000+0          0          0          0          01400 3  0

The first line is the HEAD record; it contains the ZA value (100*Z+A) and the AWR value (ratio of target mass to neutron mass). The second card starts the TAB1 record and contains the reaction Q value (-8.4738 MeV) and some counts. The third line contains some interpolation information. Finally, the rest of the record contains the tabulation given as energy, cross section pairs with energies in eV and cross sections in barns. Therefore, we can immediately read off the 14 MeV cross section of .04663 barns. The last line in the section is just the normal SEND record.

Note that this is an endothermic reaction (negative Q value), and it has a threshold energy of 8.7781 MeV. We can also compute the threshold from the Q value using

-Q*(AWR+1)/AWR,

which gives 8.778131 MeV. It is important to have the first energy point greater than or equal to the computed threshold in some applications, and NJOY checks this.

To fully understand this example, we need to have a more formal definition for the contents of a cross section record, more details on how Q values are used (why are there two values given?), and a description of how interpolation is used to define cross section values between the grid points given.


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15 December 2012 T-2 Nuclear Information Service ryxm@lanl.gov