Based on the exact values of the fine-structure constant (α) and the speed of light in atomic units (cau) determined by our corresponding formulas and CODATA current (2018) recommended Rydberg constant (R∞ or RH), we calculated out much more accurate values of Bohr radius (a0= 5.2917721093848(101)×10-11m), the classical electron radius (re=2.8179403267674(54)×10-15 m) and electron mass (me=9.1093837003120(175)×10-31 kg) than CODATA current (2018) recommended values which are a0=5.29177210903(80)×10-11 m, re=2.817940 3262(13)×10-15 m and me=9.1093837015(28)×10-31 kg respectively. In addition, we also calculated out accurate value of the positron mass (me+=9.1093836486490(174)×10-31 kg) which was supposed to be slightly less than that of electron mass. In the end, we suggest more reasonable definitions of atomic units and predict Rydberg constant for anti-hydrogen atom (R∞/e+=10973731.505923(21) m-1) which is a little different to Rydberg constant for ordinary hydrogen atom (R∞=10973731.568160(21) m-1).