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Nuclear Physics. Nuclei atomic number Z = protons Neutron number N = neutrons Mass number A = nucleons ( Z+N) Isotopes same element different number of neutrons Charge of a proton=electron=1.602x 10 -19 C Atomic mass tied to 12 C = 12U. Atomic Mass. 1 U = 1.660559x10 -27 kg
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Nuclear Physics • Nuclei atomic number Z = protons Neutron number N = neutrons Mass number A = nucleons ( Z+N) • Isotopes same element different number of neutrons • Charge of a proton=electron=1.602x 10-19C • Atomic mass tied to 12C = 12U
Atomic Mass • 1 U = 1.660559x10-27kg • A proton = neutron = 1U an electron about 2000 times smaller. • Rest energy = ER = mc2 = (1.66x10-27)(3x108)2 = 1.492x10-10J = 931.494 MeV • Nuclei have same density and size about 10-15m
Nuclear Stability • Nuclear force is an attraction force between all nucleons and is greater than the repulsion force between the protons. Stability of the nucleus depends on the ratio of N to Z. It is stable when N> Z. But as Z increases a greater ratio of N to Z is needed. Above a Z of 83 the repulsive force is to strong and all nuclei decay with time, (radioactive decay).
Binding Energy • The total energy of the bound nucleus is less than the combined energy of the separated nucleons. • The energy that must be added to separate the nucleons is called the binding energy.
Radioactivity • It is the spontaneous emission of radiation resulting in the decay of the unstable nucleus (disintegration). • alpha = Helium ion =24He • Beta = electron = e- = -10e • Gamma = high energy photon = 00 • Alpha almost no penetration, beta slight penetration, gamma high penetration.
Half life • The half life of a radioactive substance is the time it takes for half of the nucleus to decay. • N= No(1/2)n where No = number of radioactive nuclei, n= number of half lives • 1 curie (Ci) = 3.7x1010 decay/s(1g radium) • 1 Bq = 1 decay/s
Alpha Decay • Parent ---------> Daughter + alpha • ex. Uranium to thorium 92238U -------> 90234Th + 24He • An element changing to another by alpha decay is called spontaneous decay (transmutation) • The mass of the parent is greater than the daughter and alpha, the difference is in energy usually kinetic carried by the alpha particle.
Beta Decay • Note that although a neutron is not really composed of the addition of a proton and an electron, when it decays it produces a proton and an electron and some energy. • 614C---->714C + -10e • When finding the difference in mass of the parent and daughter and multiplying by MeV not all this energy is accounted for in the KE of the electron.
Neutrino (v) • The difference in energy in a beta decay is attributed to the production of a neutrino. • It is a mass much smaller than an electron with no charge and very weak interaction with matter.
Gamma Decay • Often after radioactive decay the nucleus is left in an excited energy state. The nucleus then undergoes a second decay where protons and neutrons move from an excited energy level (high) to a lower energy level. In the process of de-excitation high energy photons are released, (gamma radiation).\ • This occurs after beta decays.
Applications of Radiation • 1) Carbon dating • 2) Smoke detectors • 3) Medical procedures
Radiation Detectors • Geiger counter consists of a thin wire electrode maintained at high voltage (1000v) in a metal tube filled with low pressure gas. When radiation enters the tube some of the gas ionizes releasing electrons that are attracted to the electrode. Upon contact a sound is made which is amplified, hence the characteristic clicking. • Read about semiconductor diode, scintillation counter, photomultiplier, track detectors, etc at the end of ch 29.