%0 Journal Article %T Optimizing Silicon Oxide Embedded Silicon Nanocrystal Inter-particle Distances %A Frans D. Tichelaar %A Jim Quik %A Jort Allebrandi %A Martijn van Sebille %A Miro Zeman %A Ren¨¦ A.C. M. M. van Swaaij %J Archive of "Nanoscale Research Letters". %D 2016 %R 10.1186/s11671-016-1567-6 %X We demonstrate an analytical method to optimize the stoichiometry and thickness of multilayer silicon oxide films in order to achieve the highest density of non-touching and closely spaced silicon nanocrystals after annealing. The probability of a nanocrystal nearest-neighbor distance within a limited range is calculated using the stoichiometry of the as-deposited film and the crystallinity of the annealed film as input parameters. Multiplying this probability with the nanocrystal density results in the density of non-touching and closely spaced silicon nanocrystals. This method can be used to estimate the best as-deposited stoichiometry in order to achieve optimal nanocrystal density and spacing after a subsequent annealing step %K Silicon nanocrystal %K Silicon oxide %K Inter-particle distance %K Stoichiometry %K Spacing %U https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4974215/