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Reactor Theory (Nuclear Parameters) DOE-HDBK-1019/2-93 REACTIVITY REACTIVITY Reactivity  is  a  measure  of  the  departure  of  a  reactor  from  criticality.     The reactivity is related to  the value of keff .   Reactivity is a  useful concept to predict how the neutron population of a reactor will change over time. EO  1.8 Given   the   number   of   neutrons   in   a   reactor   core   and   the effective  multiplication  factor,  CALCULATE  the  number  of neutrons present  after  any  number  of  generations. EO  1.9 DEFINE  the  term  reactivity. EO  1.10 CONVERT  between reactivity and the  associated value of keff. EO  1.11 CONVERT measures of reactivity between the following units: a. D k/k c. 10-4 D k/k b. % D k/k d. Percent  millirho  (pcm) EO  1.12 EXPLAIN  the  relationship  between  reactivity  coefficients  and reactivity  defects. Application  of  the  Effective  Multiplication  Factor When keff remains constant from generation to generation, it is possible to determine the number of neutrons beginning any particular generation by knowing only the value of keff and the number of neutrons starting the first generation.   If No neutrons start the first generation, then No(keff) neutrons  start  the  second  generation.   Equation  (3-4)  can  be  used  to  calculate  the  number  of neutrons after the completion of "n" generations. (3-4) Nn        No     keff n Rev. 0 NP-03 Page 17

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