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6. Calculate the binding energy for 30Al using the semi-empirical binding energy equation. /4. Recall: can calculate E (MeV) = - 931.5 AMA, but when
6. Calculate the binding energy for 30Al using the semi-empirical binding energy equation. /4. Recall: can calculate E (MeV) = - 931.5 AMA, but when nuclidec mass is unknown, must be solved using semi-empirical binding energy calculations (based on liquid drop model) Z2 (N - Z)2 ap EB = aVA - asA2/3 - ac 41/3 - asym A A3/4 M(Z, A) = ZMH + Nmn - EB (Z, A)/c2the Semi- empirical binding energy formula. EBZ arA - asA 12/3 ac EN _ amm / N - 2 ) tap AY 3 A A3/4 The value of the Constant , ay = 15-75 , as = 17.80 , ac= 0.7/ asym = 22. 7, ap =- 34 / odd- odd Now, Z2 13 , (odd ) Combination N 2 ( A - 2) 2 30 - 13 = 17 ( odd) Now put all the Constant EB = (15. 75 x 30 )- (17. 80 + 30 2 / 3 0.71 x 13 30 3 22. 7 * 17 34 30 303/4 y EB . 472.5- 171.85 - 9.35- 218.67- 265 EB = 69.98 Mer
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