previous up next contents
Previous: Temperature dependence of the Up: Temperature dependence of the Next: Spectrum temperature effect


Doppler effect

Fertile nuclei are characterized by very large capture resonances. In heterogeneous reactors fissile and fertile nuclei are concentrated in fuel rods. Neutrons having an energy within a resonance width are strongly absorbed on a short distance. As a result all fertile nuclei do not participate to the capture process. The apparent width of the resonances, as it seen by the neutron moving in the medium, is increased over its natural value by the thermal motion of the nuclei. Higher temperatures lead to larger widths, and thus, to a broader energy region where all neutrons are captured. A larger number of captured neutrons means a smaller number of neutrons available for inducing fission. Thus the Doppler effect leads to a negative value of the temperature coefficient, at least in heteregeneous reactors4.11.

\begin{displaymath}\frac{dk_{\infty}}{dT}_{(Dop)}<0
\end{displaymath}