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RRFM 2009 Transactions - European Nuclear Society

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The distribution of gas pores of fission products in the fuel particles was studied with the<br />

scanning electron microscope with magnification х3000. The distribution of the gas pores in<br />

the fuel particles volume was analyzed by the stereometric metallography methods,<br />

developed by S.A. Saltykov [3].<br />

3. Results and Discussion<br />

The dependence of the volumetric distribution of pores quantity in fuel particles on a pore<br />

size is shown in Figure 1.<br />

The fuel particles of specimen #135 with Bu=49.5 % have pores of the smallest size and their<br />

diameters are within 90 to 700 nm (Fig. 1а). A mean diameter of these pores is equal to 255<br />

nm. The dependence of the distribution of pores over sizes has one maximum, which<br />

corresponds to a diameter of ~180 nm and equals to 1.53·10 9 mm -3 . It means that the entire<br />

pore amount in the fuel particles of specimen #135 makes one poly-dispersed system<br />

characterized by function N i =f(D i ), which is close to the normal Gauss distribution. In the fuel<br />

particles of specimen #135 the concentration of pores is equal to 4.70·10 9 mm -3 , and the total<br />

pore volume is 5.57·10 -2 mm 3 , which corresponds to a volume portion of pores of 5.57 %. In<br />

the fuel particles of specimen #135 a maximum volume of pores is provided by sizes 350 and<br />

455 nm making a portion of 22.9 and 22.7 % in the total pore volume, respectively (Fig. 2а).<br />

An average velocity of porosity growth in the fuel particles as a function of a fuel burn-up<br />

development rate is ΔV GFP /ΔBu=5.57/49.5≈0.11 % per 1 % fuel burn up.<br />

The different manner of a pore size distribution is observed (Fig. 1а) in specimen #73, which<br />

was sampled from the center of the FE and whose burn up was twice as large as that of<br />

specimen #135. The first difference is that the curve of specimen #73 is shifted to the region<br />

of larger sizes of pores, the pore diameters cover a wider range, which is from ~180 to 1400<br />

nm. A maximum pore concentration is 3.54·10 8 mm -3 , which corresponds to sizes ~555 nm.<br />

A mean diameter of pores is equal to 455 nm, that is by 200 nm larger than that in specimen<br />

#135. The second difference is that there are two maxima on the curve of the dependence<br />

N i =f(D i ). Hence the pores in the fuel particles of the specimen can be attributed, at least, to<br />

two poly-dispersed systems. This dependence can be possibly explained by an occurrence<br />

of pores in a grain body at high burn up, where the conditions of growth differ from those at<br />

the boundaries, i.e. there would be two groups of pores: the one corresponding to the<br />

boundaries and the other corresponding to the grain body, whose pores would have different<br />

sizes due to the different time moment of their occurrence. This phenomenon may be also<br />

explained by a more accelerated growth of pores of the larger size, which absorb the pores<br />

of a smaller size. There are two circumstances capable to prove the above explanation.<br />

The first one is that in the fuel particles of specimen #73 there are practically no pores of the<br />

size D i

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