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This article presents an original code for Big Bang Nucleosynthesis in abaryon inhomogeneous model of the universe. In this code neutron diffusionbetween high and low baryon density regions is calculated simultaneously withthe nuclear reactions and weak decays that compose the nucleosynthesis process.The size of the model determines the time when neutron diffusion becomessignificant. This article describes in detail how the time of neutron diffusionrelative to the time of nucleosynthesis affects the final abundances of He4,deuterium and Li7. These results will be compared with the most recentobservational constraints of He4, deuterium and Li7. This inhomogeneous modelhas He4 and deuterium constraints in concordance for baryon to photon ratio eta= (4.3 - 12.3) X 10^{-10} Li7 constraints are brought into concordance with theother isotope constraints by including a depletion factor as high as 5.9. Theseranges for the baryon to photon ratio and for the depletion factor are largerthan the ranges from a Standard Big Bang Nucleosynthesis model.Comment: 7/15, added reference

Neutron diffusion and nucleosynthesis in an inhomogeneous big bang model