Lecture13RadioactDecayKinetics-1_001

Lecture13RadioactDecayKinetics-1_001 - 70 Lecture 13...

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70 Lecture 13: Radioactive Decay Kinetics I. Kinetics of First-Order Processes A. Mechanism : 1. Nucleus has Internal Structure Z A Z A Y Q Q X + B ; B   B + RANDOM PROCESS: Identical to Unimolecular Decomposition 2. Chemical Analogy V(r) rx N 2 O 4 2 NO 2 NOTE: Since atoms and molecules are neutral , if T > 0 , they will have (3/2) kT kinetic energy; Collisions may also induce reactions. Collisions are SECOND ORDER ; must distinguish order for chemical reactions For nuclei , T 0 and Coulomb barrier prevents collisions ; ONLY FIRST ORDER DECAY 3. Nuclear System a. Nomenclature Change [ ] o N o , the number of nuclei initially (Not Avogadro's number) k , the rate constant = f(Q, I ) First-order Rate Law is Rate = dN dt N Decay involves internal E a H N 2 O 4 NO 2 Rate = d = k [N 2 O 4 ] k = Instantaneous decay rate rearrangement of system.
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