1. See below the decay scheme of 210Pb to 210 Bi. 0+ 22.3 y 212 Pb QB=63.5 4.25 46.539 M1 84% 5.5 0- 46.539 3 ns 16% 7.9 1- 05.013 d 210 Bi 83 a) Using the information from the level scheme, give the maximum beta energies for the two beta decay branches. b) Classify the two branches according to their forbiddenness. c) What are the log ft values of the two beta decay branches? Are the values according to the expectation given by the forbiddenness? d) Most of the beta decays proceed via an excited 0- state of 210 Bi that then further de-excites to 1- ground state via emission of gamma or conversion electron. Find out the total conversion coefficient for the de-excitation from the 0- state. e) Calculate the partial half lives for gamma and conversion electron decays from the 0- state. f) Compare the gamma partial decay constant to that given by the Weisskopf estimate. What can you conclude from the comparison? g) 210Pb is utilized in dating sediment layers in the bottom of lakes, seas and rivers. What time span can we cover with this dating method, if we assume that we can see the activities down to 1% of the activity at the surface layer?
1. See below the decay scheme of 210Pb to 210 Bi. 0+ 22.3 y 212 Pb QB=63.5 4.25 46.539 M1 84% 5.5 0- 46.539 3 ns 16% 7.9 1- 05.013 d 210 Bi 83 a) Using the information from the level scheme, give the maximum beta energies for the two beta decay branches. b) Classify the two branches according to their forbiddenness. c) What are the log ft values of the two beta decay branches? Are the values according to the expectation given by the forbiddenness? d) Most of the beta decays proceed via an excited 0- state of 210 Bi that then further de-excites to 1- ground state via emission of gamma or conversion electron. Find out the total conversion coefficient for the de-excitation from the 0- state. e) Calculate the partial half lives for gamma and conversion electron decays from the 0- state. f) Compare the gamma partial decay constant to that given by the Weisskopf estimate. What can you conclude from the comparison? g) 210Pb is utilized in dating sediment layers in the bottom of lakes, seas and rivers. What time span can we cover with this dating method, if we assume that we can see the activities down to 1% of the activity at the surface layer?
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Transcribed Image Text:1.
See below the decay scheme of 210Pb to 210 Bi.
0+
22.3 y
212 Pb
QB=63.5
4.25 46.539 M1
84%
5.5 0-
46.539
3 ns
16%
7.9 1-
05.013 d
210 Bi
83
a) Using the information from the level scheme, give the maximum beta energies for the two
beta decay branches.
b) Classify the two branches according to their forbiddenness.
c) What are the log ft values of the two beta decay branches? Are the values according to the
expectation given by the forbiddenness?
d) Most of the beta decays proceed via an excited 0- state of 210 Bi that then further de-excites to
1- ground state via emission of gamma or conversion electron. Find out the total conversion
coefficient for the de-excitation from the 0- state.
e) Calculate the partial half lives for gamma and conversion electron decays from the 0- state.
f) Compare the gamma partial decay constant to that given by the Weisskopf estimate. What can
you conclude from the comparison?
g) 210Pb is utilized in dating sediment layers in the bottom of lakes, seas and rivers. What time
span can we cover with this dating method, if we assume that we can see the activities down to
1% of the activity at the surface layer?
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