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NUCLEAR CHEMISTRY: INTRO. Kinetic Stability : probability that an unstable nucleus will decompose into more stable species through radioactive decay. All nuclides with 84 or more protons are unstable and will decay. Light nuclides where Z = A-Z (neutron/proton ratio is 1).
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NUCLEAR CHEMISTRY: INTRO • Kinetic Stability : probability that an unstable nucleus will decompose into more stable species through radioactive decay. • All nuclides with 84 or more protons are unstable and will decay. • Light nuclides where Z = A-Z (neutron/proton ratio is 1). • Nuclides with even numbers of neutrons and protons are unusually stable. • Especially stable nuclides exhibit magic numbers, 2,8,20,28,50,82,126 of neutrons or protons. • A nuclide is a unique atom of the type. • Alpha decay, emits a A X Z 4 He 2
NUCLEAR CHEMISTRY: STABILITY GRAPH #n 120 110 100 90 80 70 60 50 40 30 20 10 20 p 40 p 60 p 80 p 100 p
NUCLEAR CHEMISTRY: BETA DECAY 14 C 14 0 e N + BETA PARTICLE 6 7 -1 • BETA DECAY • THE ATOMIC NUMBER OF THE PRODUCT INCREASES. • NUCLIDES ABOVE THE PENNINSULA (ZONE) OF STABILITY DECAY WITH BETA DECAY(SEE GRAPH ON OTHER SLIDE). • PENETRATING RADIATION. • THE BETA PARTICLE CONES FROM THE DECOMPOSITION OF A NEUTRON TO A PROTON AND BETA PARTICLE. THE BETA PARTICLE IS AN ELECTRON “BORN” IN THE NUCLEUS. • BETA DECAY IS SPONTANEOUS, NOTICE ONLY ONE REACTANT. 1 1 p 0 n e + 0 1 -1
NUCLEAR CHEMISTRY: ALPHA DECAY 238 4 234 U He Th + 2 92 90 ALPHA PARTICLE • ALPHA DECAY • THE ATOMIC NUMBER OF THE PRODUCT DECREASES BY 2. • THE MASS NUMBER OF THE PRODUCT DECREASES BY 4. • ALPHA RADIATION IS NON PENETRATING TO HUMAN SKIN, HOWEVER IT CAN BE INGESTED. • COMMON MODE OF DECAY FOR HEAVY RADIOACTIVE NUCLIDES. • NEUTRON/PROTON RATIO INCREASES. • THE ALPHA PARTICLES ARE POSITIVE, THESE HIGH ENERGY He ATOMS HAVE LOST THE ELECTRONS, ARE REPELLED BY POSITIVE ELECTRODES AND ARE AFFECTED BY MAGNETIC FIELDS. • ALPHA DECAY IS SPONTANEOUS.
NUCLEAR CHEMISTRY: POSITRON EMISSION 22 0 22 Na e Ne + +1 11 10 POSITRON • POSITRON EMISSION • DECAY MODE FOR NUCLIDES BELOW ZONE OF STABILITY. • CHANGES A PROTON TO A NEUTRON. • PRODUCT HAS A HIGHER NEUTRON TO PROTON RATIO. • THE POSITRON IS THE ANTIPARTICLE TO AN ELECTRON THE REACTION OF A POSITRON WITH A BETA PARTICLE PRODUCES GAMMA RADIATION . 0 e 0 e 0 + GAMMA 0 +1 -1
NUCLEAR CHEMISTRY: ELECTRON CAPTURE 201 Hg 0 e 201 Au 0 GAMMA + + 0 -1 80 79 INNER ORBITAL SHELL ELECTRON • ELECTRON CAPTURE • AN INNER SHELL ELECTRON IS CAPTURED BY THE NUCLEUS. 0 e 0 e 0 + GAMMA 0 +1 -1
NUCLEAR CHEMISTRY: ELECTRON CAPTURE ln (N0/N) = kt LogN0 = kt N 2.303 ( ) t1/2 =0.693/k E = c2 m
Example problem, binding energy E = c2 m Mass defect equation OBJECTIVE calculate the binding energy per nucleon of N –14, nuclear mass is 13.999234 mass of proton mass of neutron mass nucleus m = (7(1.0072765) + 7(1.0086649)) – 13.999234 = 0.112536 amu E = 0.112536 amu 1 g x 1kg x 8.987551*1016m2 6.0221 * 1023 amu 1000g s2 = 1.67682 * 10-11 kg m2/s2 =1.67682 * 10-11 J Binding energy/nucleon =1.67682 * 10-11 J/ 14 = 1.19773 * 10-12 J/nucleon Avagodro’s # For 14N, A=14
Example problems:Half Life Calculate the mass of Co-60 that remains from a 0.0100 g sample after 1.00 year has elapsed. k= 0.693 = 0.693 = 0.132y t1/2 5.27/y 1-FIRST FIND k FROM HALF LIFE. Co-60 Half life,from tables 2-FIND N0/N RATIO LogN0 = kt N 2.30 ( ) LogN0 = (0.132/y)(1.00y) = 0.0570, ANTILOG OF 0.0570 IS 1.14 N 2.303 ( ) 60 N0 = 1.14 = 0.0100g ; N = 0.00877g OF AFTER 1 YEAR N N C 27