Abstract: The exciton wave function is built to calculate the exciton ground state evergy E_g in PbS quantum dots using special properties of B-splines.The quantum size effect of PbS quantum dots is investigated.Compared to other calculations,the E_g calculated shows better agreement with experimental results.The effects of effective mass and barrier height of potential on E_g are investigated.

Key words: B-splines, quantum dots, ground state energy, quantum size effect, effective mass