L 36 Modern Physics [3] [L36] Nuclear physics what s inside the nucleus and what holds it together what is radioactivity carbon dating [L37] Nuclear energy nuclear fission nuclear fusion nuclear reactors nuclear weapons Structure of the nucleus nucleus 1-8 m The diameter of the nucleus is about 1 million times smaller that the overall diameter of the atom. 1-15 m protons + neutrons The atom and the nucleus the attractive force between the positive protons and the negative electrons is what holds the atom together the neutrons and protons have about the same mass, and are each about times more massive than the electrons the nucleus accounts for about 99.9% of the total mass of the atom the neutrons have no charge, so what role do they play? The structure of the nucleus terminology atomic number Z the number of protons in the nucleus, this is equal to the number of electrons in the atom, since atoms are electrically neutral. The atomic number is what distinguishes one atom from another N = the number of neutrons in the nucleus, atoms with the same Z but different N s are called isotopes Atomic mass number A = Z + N = the number of protons + neutrons, A determines the mass of the nucleus SYMBOL FOR A NUCLEUS FOR A CHEMICAL X Number of protons and neutrons A X Z Number of protons
examples Hydrogen 1 1 1 proton, neutrons 2 Deuterium 1 1 proton, 1 neutron 3 H 1 Tritium 1 proton, 2 neutrons 4 He 2 Alphas 2 protons, 2 neutrons C, C, C 12 13 14 Carbon 6 6 6 6 protons, 6, 7, 8 neutrons 235 Uranium-235 92 has 235 92 = 143 neutrons this is enriched uranium, natural uranium U-238 contains only.7% of this fissionable isotope. What holds the nucleus together? the nuclear glue The nucleus contains positively charged protons all in a very small volume and all repelling each other so what keeps the nucleus together? the nuclear force (glue) this is where the neutrons play a role + + + the nuclear force in addition to the repulsive electric force between the protons, the protons and neutrons also exert an attractive nuclear force on each other when they are very close to each other. However the nuclear force of the protons isn t enough to hold the nucleus together, but the neutrons add more nuclear glue without adding the repulsive electric force. stable nuclei have as many neutrons as protons or more neutrons than protons What is radioactivity? in some nuclei, there is a very delicate balance between electric repulsion and nuclear attraction forces. sometimes the nucleus is just on the verge of falling apart and needs to release some excess energy an unstable nucleus an unstable nucleus can disintegrate spontaneously by emitting certain kinds of particles or very high energy photons called gamma rays (γ s) radioactivity Natural radioactivity some nuclei are naturally radioactive and give off either alpha rays (He nucleus), bets rays (electrons) or gamma rays (high energy photons) randomly the particles are classified in terms their ability to penetrate matter, gammas are the most penetrating and alphas the least penetrating. Gammas can go right through several inches of lead! how do we detect these particles using a Geiger counter a gas filled metal cylinder with a positively charged wire down the center the γ, β, or α ray ionizes the gas, and the resulting electrons are collected by the positive wire the result is a pulse (blip) of current which is converted to a sound pulse Geiger Counters
Geiger tube Alpha, beta and gamma ray detection in a magnetic field + High Voltage Electronic counter Gamma Knife Radiosurgery Half-Life of radioactive nuclei Gamma rays (from Cobalt-6) are focused to a point in the brain to kill tumors the decay of radioactive nuclei is a random process. If you have a sample of many unstable nuclei, you cannot predict when any one of them will disintegrate if you start with N o radioactive nuclei now, then the HALF LIFE T 1/2 is defined as the time for half of the nuclei present to disintegrate. Half Life, T 1/2 START 7 y = 65.9 * e^(-.27681x) R=.99961. 6129.. 5268. 1. 4583. 137 1. 3987. Ba 2. 353. 2. 2953. 3. 2584. 3. 232. 4. 224. 4. 1753. 2.5, 1 2 3 4 5 time (min)
May 5, 28 y = 9984.4 * e^(-.489x) R=.9999 7 Data 1--- 12/8/8 y = 63.8 * e^(-.4874x) R=.99993 8. 9969. T = 2.5 min 1/2 3. 6. 9. 12. 15. 18. 21. 24. 27. 863. 7495. 6495. 5579. 4897. 4215. 3658. 327. 2674. 35 TIME (s) time (s) 4648 May 1, 29 y = 4647.6 * e^(-.46112x) R=.99927 35 12/4/9 y = 3384.1 * e^(-.4787x) R=.99845 T 1/2 = 147 s 25 ½ 4648 15 time (seconds) 5 time (s) Nuclear reactions t (min) Counts. 5456.. 4761. 1. 44. 1. 3451. 2. 371. 2. 2661. 3. 2386. 3. 29. 4. 1741. 4. 1486. 222 Rn 218 decays to Po 86 84 by emitting an 4 alpha particle [ He 2 ] with a half life of 3.8 days. If we started with 2, atoms of Rn-222, then in 3.8 days we would have 1, atoms of Rn-222 and 1, atoms of Po- 218 In 7.6 days we would have atoms of Rn-222, in 11.4 days, 25 Rn-222 s, etc
Smoke detectors use radioactivity Americium 241 Smoke detectors have a radioactive alpha emitting source. The alpha particles ionize the air in the detector creating a current. If smoke particles enter the detector they can interfere with the current causing it to drop, which sets off the alarm. Dating a Fossil As soon as a living organism dies, it stops taking in new carbon. The ratio of carbon-12 to carbon- 14 at the moment of death is the same as every other living thing, but the carbon-14 decays and is not replaced. The carbon-14 decays with its halflife of 5,7 years, while the amount of carbon-12 remains constant in the sample. By looking at the ratio of carbon-12 to carbon-14 in the sample and comparing it to the ratio in a living organism, it is possible to determine the age of a formerly living thing fairly precisely. Radon gas Natural Radioactivity 222 86 Rn occurs in soil and can leak into basements. It can attach to dust particles and be inhaled. cosmic rays energetic particles from the cosmos enter the atmosphere and decay Nuclear activation some nuclei that are stable can be activated (made unstable) by exposing them to neutrons. neutron stable nucleus Activated nuclei are embedded in tumors as a cancer treatment Cyclotron/PET facility at UIHC A cyclotron is a device used to produce the radioisotopes (radioactive chemical elements) which are used to synthesize the radiopharmaceuticals (the actual substances which are used to make the functional images of the body). PET- positron emission tomography