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Discover the nucleus through Rutherford's experiment, isotopes, decay laws, and radioactivity effects on health. Learn about models of the nucleus, concepts of stability, and penetration depth of radiation.
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Rutherford experiment • http://www.physics.upenn.edu/courses/gladney/phys351/classes/Scattering/Rutherford_Scattering.html • http://micro.magnet.fsu.edu/electromag/java/rutherford/ • http://webphysics.davidson.edu/Applets/pqp_preview/contents/pqp_errata/cd_errata_fixes/section4_7.html • http://www.nat.vu.nl/~pwgroen/sdm/hyper/anim/baan.html
Isotopes and Nuclides http://en.wikipedia.org/wiki/Isotope_table_(complete) http://ie.lbl.gov/education/isotopes.htm
Complexity ~ nuclear is thy name
Models of the nucleus Liquid drop model
Non-central force Spectroscopic model Problem: which potential ??
Decay Law: Half life Blue Stable elements; Green Radioactive elements with very long-lived isotopes. Their half-live of over four million years confers them very small, if not negligible radioactivities; YellowRadioactive elements that may present low health hazards. Their most stable isotopes have half-lives between 800 and 34.000 years. Because of this, they usually have some commercial applications; Orange Radioactive elements that are known to pose high safety risks. Their most stable isotopes have half-lifes between one day and 103 years. Their radioactivities confers them little potential for commercial uses; Red Highly radioactive elements. Their most stable isotopes have half-lifes between one day and several minutes. They pose severe health risks. Few of them receive uses outside basic research; Purple Extremely radioactive elements. Very little is known about these elements due to their extreme instability and radioactivity.
. Penetration Depth The energy of radiation is typically measured in MeV, mega electronvolt: If a beam of photons with intensity I0 traverses a layer of material of thickness x, the intensity emerging from the layer is where m is called the linear absorption coefficient. It is related to the cross section s for photon absorption by where NA is Avogadro’s constant and r is the density of the material.
Radioactivity a, b, g decay
Radioactivity and Health The number of radioactive nuclei of an isotope varies in radioactive decay according to where N is the number of nuclei at t=0, N0 the remaining number at t, and l is the decay constant. T1/2 is the half-life, the time from t=0 when half the original nuclei remain. a, b, g decay Units Gray [Gy] absorbed dose: energy deposited per unit mass of medium [J/kg] Sievert [Sv] risk from ionizing radiation rad radiation absorbed dose rem roentgen eq. mammal (to gauge bio effects)
Safety After low to moderate radiation poisoning [1-6 Gy] within hours nausea and vomiting diarrhea possibly headache and fever With increasing dose cognitive impairment Mortality 5-100%; above 6 Gy > 50% Primary dangers: (whole body exposure) immunodeficiency destruction of bone marrow shortage of white blood cells
Weighting factors WR for equivalent dose: how dangerous are types of radiation? Radiation Energy wR x-ray, g-ray, e-, e+, m 1 n < 10 keV 5 < 100 keV 10 < 2 MeV 20 higher < 20 P > 2 MeV 2 a, fission fragments, heavy nuclei 20