The　onset　resistivity　transition　temperature　(T-c)　is　as　high　as　56.5K　in　the　SmO0.7F0.3FeAs　sample　prepared　by　the　two-step　solid　state　reaction　method.　The　J(c)　of　the　sample　is　2.3x10(5)A/cm(2)　(10K　and　0T).　The　T-c　of　the　fluorin　over-doped　SmO0.7F0.35FeAs　and　SmO0.7F0.4FeAs　samples　prepared　by　the　two-step　solid　state　reaction　method　at　1100　degrees　C　for　20　hours　are　56K　and　55K,　and　the　J(c)　are　1.9x10(5)Lambda/cm(2)　and　1.7x10(5)Lambda/cm(2)　(10K　and　0T),　respectively.　The　XRD　results　show　that　the　lattice　parameters　a　and　c　decrease　systematically　with　increasing　x　between　0　0.3,　the　lattice　parameters　a　and　c　increase　with　the　decreasing　of　x　in　the　SmO1-xFxFeAs.　But　the　lattice　parameters　a　and　c　decrease　with　modest　increasing　of　delta　in　the　SmO1-xF　delta　FeAs(delta　＞=　x)　compound,　the　values　of　a=　3.9233　angstrom,　c=　8.4768　angstrom　in　the　SmO0.7F0.35FeAs　sample　is　obtained.　It　is　shown　that　the　decrease　of　the　lattice　parameters　results　in　an　increase　of　T-c.　(C)　2011　Published　by　Elsevier　Ltd.　Selection　and/or　peer-review　under　responsibility　of　Chinese　Materials　Research　Society　Open　access　under　CC　BY-NC-ND　license.