Unit 2: Radiocarbon Dating Flashcards
How is Carbon-14 produced?
Generated by cosmic rays colliding with nitrogen (Mostly 14N) to produce 14C
After how many half-lives is Carbon-14 no longer useful?
After 10 half lives of 14C you get lots of errors when trying to measure the amount due to how little there is
What is 1 Bq?
1 disintegration per second
What is a curie?
A unit of activity equal to 3.7x1010 disintegration per second
What is 1 curie equal to in Bq?
37 billion Bq
How can you detect radiation?
- Ionisation counter
- Scintillation counter
- Accelerator Mass Spectrometry
What is the equation for t1/2
t1/2 = ln2/k
t1/2 = 0.693/k
What is the equation for ln2?
ln2 = k x t1/2
What is the equation for -Ln2
-k x t1/2
What is ln x^y equal to?
y ln x
What is the equation for ln2-1 ?
-k x t1/2
What is the equation for ln(1/2)
-k x t1/2
After one half life (t1/2) what is the equation for N?
1/2 N0
ln(N/N0) = ?
-k x t
-k x t = ?
ln(N/N0)
N/No = ?
e-k x t
e-kt = ?
N/No
N = ?
N0 x e-k x t
N0 x e^ -k x t = ?
N
Nt
Number of nuclei at time (t)
N0
Initial number of nuclei
n
Number of half lives
Equation for Nt
Nt = N0 x (1/2)n
N
Number of nuclei
How does the scintillator work?
The scintillator material emits light that is collected in photomultiplier tubes
What is Accelertor Mass Spectrometry good for?
Ultrasensitive, C
- AMS is ultrasensitive isotope ratio mass spectrometry of small prepared samples
- Most advanced way of measuring 14C
What isotopes does accelerator mass spectrometry measure?
Long-lived radioisotopes that are naturally lowly abundant due to their instability, yet difficult to measure by their infrequent decay
How are ions characterised in accelerator mass spectrometry?
Conventional
The ions are characterised by combined conventional mass spectrometry and high-energy collisions within the accelerator and in a final detector.
What are the spectrometers based on in accelerator mass spectrometry?
Particle accelerators
Spectrometers are based on tandem electrostatic particle accelerators for energising ionised sample atoms to 10s MeV
How does accelerator mass spectrometry work?
Counts
AMS counts the number of atoms in the sample
Activity / Rate of decay
activity = rate of decay = k x N
k
k is the decay constant and is characteristic of the radionuclide
Activity
Activity is proportional to the number of nuclei
How does scintillation counter work?
Infrequent
Scintillation counters measure the infrequent radioactive decay events in the sample
What is activity?
Is the number of nuclear disintegrations per unit time occurring in a radioactive material
What is Bq?
The becquerel (Bq) is the unit of radioactivity.