Most Probable Neutron Velocities - h1019v1_139

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vp 2  k  T m vp 2  k  T m 2 1.38  x  1016erg K 293  K 1.66  x  1024  g 2.2  x  105cm sec 1  m 100  cm 2200 m sec Reactor Theory (Neutron Characteristics) DOE-HDBK-1019/1-93 NEUTRON FLUX SPECTRUM Rev. 0 Page 35 NP-02 In the thermal region the neutrons achieve a thermal equilibrium with the atoms of the moderator material.   In  any  given  collision they may gain or lose energy, and over successive collisions will gain as much energy as they lose.  These thermal neutrons, even at a specific temperature, do  not all have the same energy or velocity; there is a distribution of energies, usually referred to as the Maxwell distribution (e.g., Figure 2).  The energies of most thermal neutrons lie close to the most probable energy, but there is a spread of neutrons above and below this value. Most Probable Neutron Velocities The most probable velocity (v  ) of a thermal neutron is determined by the temperature of the p medium and can be determined by Equation (2-13) . (2-13) where: v = most probable velocity of neutron (cm/sec) p k = Boltzman's constant (1.38 x 10 erg/   K) -16 T = absolute temperature in degrees Kelvin (   K) m   = mass of neutron (1.66 x 10 grams) -24 Example: Calculate  the  most  probable  velocities  for  neutrons  in  thermal  equilibrium  with  their surroundings at the following temperatures.  a) 20   C, b) 260   C. Solution: a) Calculate the most probable velocity for 20   C using Equation (2-13).


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