Nuclear reaction leading to formation of C^14 ?

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Carbon-14 (C^14) is formed through a nuclear reaction involving nitrogen-14 (N^14) and cosmic rays. The primary reaction is when a neutron interacts with N^14, resulting in the formation of C^14 and a proton: 1n + 14N → 14C + 1H. C^14 is unstable and undergoes beta decay, transforming back into nitrogen-14 while emitting an electron and an antineutrino: 14C → 14N + e- + ν̅. The discussion emphasizes the need to understand the nuclear pathways and isotopes surrounding C^14 to grasp its formation. Understanding these reactions is crucial for estimating the age of organic materials using radiocarbon dating.
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Nuclear reaction leading to formation of C^14 ?

Hello.

I've got two questions from the NPRE class. One of them is to estimate how old the certain wook piece contained some amount of C^14 is. I solved it.

The real question is the second one which is
" Write down the nuclear reaction leading to formation of C^14. "

What happen with C^14 related to unclear reaction?

Thanks.
 
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14C must be formed somehow. It has Z=6, N=8 (6 protons and 8 neutrons).

n-capture by 13C would be one possibility, but there just isn't enough low energy neutrons in nature to produce all the 14C observed.

Think of a nuclear isobar - same atomic mass, but different Z - and think about what nuclear reaction might occur to produce 14C.
 


I know how to calculate Q or etc. but I have no idea how to extract the formation of the unclear action. Could you give me a little more hint?

Thanks.
 


Are you familiar with the chart of the nuclides, hermtm2? It is a chart that shows all the elements and all isotopes of each element. If you look it up and observe the nuclides around C-14, you should be able to find a common path to it.
 


hermtm2 said:
I know how to calculate Q or etc. but I have no idea how to extract the formation of the unclear action. Could you give me a little more hint?

Thanks.
What other stable radionulcides exist with A = 14? What would need to happen in order to transform it to 14C?
 


hermtm2 said:
" Write down the nuclear reaction leading to formation of C^14. "

What happen with C^14 related to unclear reaction?

Thanks.

1n + 14N \rightarrow 14C + 1H
Via Cosmic rays.

Then,

14C \rightarrow 14N + e- + \bar{\nu_e}

Brain, Marshall. "How Carbon-14 is Made" 03 October 2000. HowStuffWorks.com. http://science.howstuffworks.com/carbon-141.htm 14 February 2010.
 
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