1. Nuclear Physics Selected Topics 5 –Fission and Fusion

2. Fission A nucleus of large mass number splits into two smaller nuclei. The total mass of the products is less than the original mass of the heavy nucleus. The mass difference appears as the kinetic energy of the fission products.

3. Fission of 235 U by a slow (low energy) neutron:

4. 236 U* is an intermediate, short-lived state that lasts about 10 -12 s. X and Y are the fission fragments. Many combinations of X and Y satisfy the requirements of conservation of energy and charge.

5. Fission of 235 U by a slow (low energy) neutron: Several neutrons are also produced in each fission event. Example:

6. Sequence of Events in Fission The 235 U nucleus captures a thermal (slow- moving) neutron.

7. Sequence of Events in Fission The 235 U nucleus captures a thermal (slow- moving) neutron. This capture results in the formation of 236 U*, and the excess energy of this nucleus causes it to undergo violent oscillations.

8. Sequence of Events in Fission The 235 U nucleus captures a thermal (slow- moving) neutron. This capture results in the formation of 236 U*, and the excess energy of this nucleus causes it to undergo violent oscillations. The 236 U* nucleus becomes highly elongated, and the force of repulsion between the protons tends to increase the distortion.

9. Sequence of Events in Fission The 235 U nucleus captures a thermal (slow- moving) neutron. This capture results in the formation of 236 U*, and the excess energy of this nucleus causes it to undergo violent oscillations. The 236 U* nucleus becomes highly elongated, and the force of repulsion between the protons tends to increase the distortion. The nucleus splits into two fragments, emitting several neutrons in the process.

10. Sequence of Events in Fission – Diagram (The “liquid drop” model)

11. Energy in a Fission Process Binding energy for heavy nuclei is about 7.2 MeV per nucleon. Binding energy for intermediate nuclei is about 8.2 MeV per nucleon. Therefore, the fission fragments have less mass than the nucleons in the original nuclei. This decrease in mass per nucleon appears as released energy in the fission event, about 240 MeV per fission event..

12. Chain Reaction Neutrons are emitted when 235 U undergoes fission. These neutrons are then available to trigger fission in other nuclei. This process is called a chain reaction. If uncontrolled, a violent explosion can occur. This is the principle behind the nuclear bomb, where 1 kg of U can release energy equal to about 20 000 tons of TNT.

13. Chain Reaction – Diagram

14. Basic Reactor Design Fuel elements consist of enriched uranium. The moderator material helps to slow down the neutrons. The control rods absorb neutrons.

15. Pressurized Water Reactor

16. Text Problem Example – Chapter 30, # 2 Find the energy released in the fission reaction The atomic masses of the fission products are 97.912 0 u for 98 Zr and 134.908 7 u for 135 Te.

17. Text Problem Example – Chapter 30, # 2 Find the energy released in the fission reaction The atomic masses of the fission products are 97.912 0 u for 98 Zr and 134.908 7 u for 135 Te.

18. Nuclear Fusion Nuclear fusion occurs when two light nuclei combine to form a more massive nucleus. The mass of the final nucleus is less than the masses of the original nuclei. This loss of mass is accompanied by a release of energy.

19. Considerations for a Fusion Reactor The most promising reactions involve deuterium (D = 2 H) and tritium (T = 3 H).

20. Text Problem Example – Chapter 30, # 12 Find the energy released in the fusion reaction

21. Text Problem Example – Chapter 30, # 12 Find the energy released in the fusion reaction