Beta decay, electron capture Q value

Click For Summary
SUMMARY

The Q value for electron capture of 196Au is calculated using the formula Qε = [m(^AX) - m(^AX')]c2 - Bn. In this case, the assumption of a K-shell electron is valid, as capture from the innermost shell is the most probable process. The discussion emphasizes the importance of understanding the shell structure when determining the Q value, particularly in relation to the isotopes of gold.

PREREQUISITES
  • Understanding of nuclear decay processes
  • Familiarity with the concept of Q value in nuclear reactions
  • Knowledge of atomic shell structure, specifically K and L shells
  • Ability to interpret isotopic data from resources like Wikipedia
NEXT STEPS
  • Research the calculation of Q values for different types of nuclear decay
  • Learn about the differences between K-shell and L-shell electrons in electron capture
  • Explore the implications of electron capture on isotopic stability
  • Study the role of binding energy (Bn) in nuclear reactions
USEFUL FOR

Students and professionals in nuclear physics, particularly those studying radioactive decay and electron capture processes in isotopes like gold.

Incand
Messages
334
Reaction score
47

Homework Statement


Find the ##Q## value for electron capture of ##^{196}Au##.

Homework Equations


##Q_\epsilon = [m(^AX)-m(^AX')]c^2-B_n##

The Attempt at a Solution


How do I know if I have an ##K##- or ##L##-shell for the electron?
Assuming I have an ##K## shell taking ##B_n = \; ^{196m1}Au## from this table,
https://en.wikipedia.org/wiki/Isotopes_of_gold
;I get the correct answer but I don't understand why it couldn't just as well been an ##L##-shell?
 
Physics news on Phys.org
Capture from the innermost shell is by far the most likely process.
 
  • Like
Likes   Reactions: Incand
mfb said:
Capture from the innermost shell is by far the most likely process.
Thanks! That would make sense out of it.
 

Similar threads

  • · Replies 12 ·
Replies
12
Views
2K
  • · Replies 5 ·
Replies
5
Views
5K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 8 ·
Replies
8
Views
3K
  • · Replies 11 ·
Replies
11
Views
8K
Replies
1
Views
3K
  • · Replies 4 ·
Replies
4
Views
1K
  • · Replies 10 ·
Replies
10
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K