Js. Pedersen et al., A SMALL-ANGLE NEUTRON-SCATTERING AND TRANSMISSION ELECTRON-MICROSCOPYSTUDY OF KRYPTON PRECIPITATES IN COPPER, Journal of physics. Condensed matter, 8(44), 1996, pp. 8431-8455
The annealing behaviour of bulk copper containing 2.6 at.% krypton has
been studied by small-angle neutron scattering (SANS) and transmissio
n electron microscopy (TEM). In addition positron annihilation spectro
scopy (PAS) and mass-density measurements (MDM) were made. In the as-p
repared and annealed material a high density of krypton precipitates (
'bubbles') exists. Special emphasis is put on different approaches to
the analysis of the SANS data. Differences between the results from th
e various analyses are pointed out and discussed. Polydisperse models
clearly give the most extensive information, i.e. the size distributio
n of the Kr bubbles and integral parameters derived from it (i.e. bubb
le volume, total surface area and average radius). It is demonstrated
that a correct choice of form factor is important for the reliability
of the derived size distribution. In TEM a high degree of overlap of b
ubble images is observed and corrected for. Good agreement between the
shapes of SANS and TEM size distributions is found, while differences
in amplitude are ascribed to experimental uncertainties. Average kryp
ton densities in the bubbles as well as fractional cavity volumes deri
ved from PAS and MDM are found to be in good agreement, but the cavity
volumes are clearly larger than the total bubble volumes obtained fro
m the SANS and TEM size distributions. Above roughly 300 degrees C bub
ble growth takes place. Two different mechanisms for the initiation of
growth are discussed. At the higher annealing temperatures the growth
in bubble size and total volume fraction is explained by bubble migra
tion and coalescence followed by absorption of thermal vacancies.