| In this paper, we mainly introduce the neutron exposure distribution function of the galaxyÏgal (Ï„, t)to describe the nucleosynthesis elements of s-process ,obtain the evolution function of theÏgal (Ï„,t)through the chemical evolution function of the galaxy . We establish the relation of the neutron exposure distribution function of the galaxyÏgal (Ï„,t)and the neutron exposure distribution function of the AGB starÏAGB (Ï„,Z). We study the neutron exposure distribution function of the galaxyÏgal (Ï„,t)based on two instance ofÏAGB (Ï„,Z) is exponential function or the new function ,and compare the result with the distribution function of neutron exposure of the solar system ( )ÏsunÏ„.The result of our work are as follows:(1)The distribution function of neutron exposure of the solar system ( )ÏsunÏ„can be explained withÏAGB (Ï„,Z)and the chemical evolution function of the galaxy.(2)The main component of ( )ÏsunÏ„can be looked as the weighted average of the distribution function of neutron exposure of the higher metal abundance AGB star. It,s distribution can be looked as exponential distribution approximately. The mean neutron exposuresÏ„0m≈0.3mb-1 .The proportional comparison factor f m is biggerï¹™ f m≈5×10?4﹚.The reason is the higher metal abundance AGB star have more seed nucleus .Nucleosynthesis efficiency is higher.(3) The strong component of ( )ÏsunÏ„can be looked as the weighted average of the distribution function of neutron exposure of the lower metal abundance AGB star. It,s distribution can be looked as exponential distribution approximately. The mean neutron exposuresÏ„0 m≈8mb?1.The proportional Comparison factor f m is smallerï¹™ f m≈10?6﹚. The reason is the lower metal abundance AGB star have less seed nucleus. Nucleosynthesis efficiency is lower.(4) Lower metal abundance AGB star early have less seed nucleus, nucleosynthesis efficiency is lower. The proportional comparison factor f m is smaller. So the slope is small. When t = t, the distribution function of neutron exposure of the solar system ( )ÏsunÏ„we getted has nearly the same fluctuant shape as the distribution of exponential model of Beer et al.(1997). |