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Transcript
L 37 Modern Physics [3] • Nuclear physics – what’s inside the nucleus and what holds it together – what is radioactivity – carbon dating • Nuclear energy – nuclear fission – nuclear fusion – nuclear reactors – nuclear weapons Structure of the nucleus The diameter of the nucleus is about 10 million times smaller that the overall diameter of the atom. 10-15 m protons + 10-8 m 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 2000 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 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 Z X Number of protons examples • Hydrogen 1 1 H 1 proton, 0 neutrons • Deuterium 2 1 H 1 proton, 1 neutron • Tritium 3 1 H 1 proton, 2 neutrons • Carbon 12 C, 13 C , 14 C 6 protons, 6, 7, 8 neutrons 6 • Uranium-235 6 235 92 6 U has 235 – 92 = 143 neutrons this is “enriched” uranium, natural uranium U-238 contains only 0.7% 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. • 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 delicate balance of electric repulsion and nuclear attraction forces. • sometimes the nuclei are just on the verge of falling apart and need to release some excess energy an unstable nucleus • an unstable nucleus can disintegrate spontaneously by spitting out certain kinds of particles or very high energy photons called gamma rays (’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 Geiger Counters gas filled metal cylinder with a wire down the center the ray ionizes the gas, and the resulting electrons are collected by the center + wire, the result is a pulse (BLIP) of current Alpha, beta and gamma ray detection in a magnetic field Gamma Knife Radiosurgery Gamma rays (from Cobalt -60) are focused to a point in the brain to kill tumors Half-Life of radioactive nuclei • 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 No radioactive nuclei now, then the HALF LIFE T1/2 is defined as the time for half of the nuclei present to disintegrate. START Half Life T1/2 y = 6050.9 * e^(-0.27681x) R= 0.99961 7000 6000 137 Ba 5000 4000 3000 0.0000 0.50000 1.0000 1.5000 2.0000 2.5000 3.0000 3.5000 4.0000 4.5000 2.5, 3000 6129.0 5268.0 4583.0 3987.0 3503.0 2953.0 2584.0 2320.0 2024.0 1753.0 2000 1000 0 0 1 2 3 time (min) 4 5 May 5, 2008 y = 9984.4 * e^(-0.0048009x) R= 0.9999 10000 T 1/2 = 2.5 min 8000 6000 0.0000 30.000 60.000 90.000 120.00 150.00 180.00 210.00 240.00 270.00 9969.0 8603.0 7495.0 6495.0 5579.0 4897.0 4215.0 3658.0 3207.0 2674.0 4000 2000 0 0 50 100 150 200 TIME (s) 250 300 350 Data 1--- 12/8/08 7000 y = 6030.8 * e^(-0.004874x) R= 0.99993 6000 5000 4000 3000 2000 1000 0 50 100 150 time (s) 200 250 300 May 1, 2009 5000 y = 4647.6 * e^(-0.0046112x) R= 0.99927 4648 4000 3000 ½ 4648 2000 1000 0 0 50 100 150 time (seconds) 200 250 300 Nuclear reactions 222 86 218 Rn • decays to 84 Po by emitting an alpha particle (42 He ) with a half life of 3.8 days. • If we started with 20,000 atoms of Rn-222, then in 3.8 days we would have 10,000 atoms of Rn-222 and 10,000 atoms of Po218 • In 7.6 days we would have 5000 atoms of Rn-222, in 11.4 days, 2500 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 carbon14 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 5,700 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. Natural Radioactivity • Radon gas 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. stable nucleus neutron Activated nuclei are embedded in tumors as a cancer treatment 210 84 Po killed Alexander Litvenko • Polonium 210 is a highly toxic substance that decays by emitting an 5.3 MeV 210 4 206 Po He Pb particle in the reaction 84 2 82 • the half-life of Po-210 is 140 days • Po-210 is made by bombarding Bismuth with neutrons in a nuclear reactor 209 83 Bi n 1 0 210 83 Bi • Bi -210 decays via beta decay to Po-210 210 83 Bi beta decay 210 84 Po beta decay 01n 11 p e