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Larger samples produce excessive CO2 pressure in the sealed tubes used in the process, causing tubes to explode and samples to be lost.

Thus, even if larger samples like RATE’s “on the order of 100 mg” [6] are submitted to an AMS laboratory, only about 1 mg of carbon will actually undergo analysis.

This isn't too impressive, and the returns are only diminishing.

Not only that, but here is a hard limit on how small $N_\mathrm$ can be (you can't detect fractions of an atom! Certainly by the time $N_\mathrm$ is $, the results are statistically unreliable even if your counting is perfect. On the other hand, decreasing $N_\mathrm$ by 0$ allows you to get the same $T_\mathrm$ with

Larger samples produce excessive CO2 pressure in the sealed tubes used in the process, causing tubes to explode and samples to be lost.Thus, even if larger samples like RATE’s “on the order of 100 mg” [6] are submitted to an AMS laboratory, only about 1 mg of carbon will actually undergo analysis.This isn't too impressive, and the returns are only diminishing.Not only that, but here is a hard limit on how small $N_\mathrm$ can be (you can't detect fractions of an atom! Certainly by the time $N_\mathrm$ is $10$, the results are statistically unreliable even if your counting is perfect. On the other hand, decreasing $N_\mathrm$ by $500$ allows you to get the same $T_\mathrm$ with $1/500$ the sample size $m$. If you want to date something older, you should probably be looking for a different isotope, not a more accurate counting device.So you can count longer, but if you are below the noise floor you aren't doing anything worthwhile.In the end, the ability to accurately count small amounts of sample only gets you logarithmic gains in how far back you can date materials, due to the exponential nature of radioactive decay.Reducing the sample size doesn't reduce systematic errors and it doesn't make any sense to improve statistical errors past the point of no-return in any experiment. contamination, increasing the count of atoms won't help, either.There is, of course, also the component of cost and experimental complexity.

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Larger samples produce excessive CO2 pressure in the sealed tubes used in the process, causing tubes to explode and samples to be lost.

Thus, even if larger samples like RATE’s “on the order of 100 mg” [6] are submitted to an AMS laboratory, only about 1 mg of carbon will actually undergo analysis.

This isn't too impressive, and the returns are only diminishing.

Not only that, but here is a hard limit on how small $N_\mathrm$ can be (you can't detect fractions of an atom! Certainly by the time $N_\mathrm$ is $10$, the results are statistically unreliable even if your counting is perfect. On the other hand, decreasing $N_\mathrm$ by $500$ allows you to get the same $T_\mathrm$ with $1/500$ the sample size $m$. If you want to date something older, you should probably be looking for a different isotope, not a more accurate counting device.

So you can count longer, but if you are below the noise floor you aren't doing anything worthwhile.

In the end, the ability to accurately count small amounts of sample only gets you logarithmic gains in how far back you can date materials, due to the exponential nature of radioactive decay.

Reducing the sample size doesn't reduce systematic errors and it doesn't make any sense to improve statistical errors past the point of no-return in any experiment. contamination, increasing the count of atoms won't help, either.

/500$ the sample size $m$. If you want to date something older, you should probably be looking for a different isotope, not a more accurate counting device.

So you can count longer, but if you are below the noise floor you aren't doing anything worthwhile.

In the end, the ability to accurately count small amounts of sample only gets you logarithmic gains in how far back you can date materials, due to the exponential nature of radioactive decay.

Reducing the sample size doesn't reduce systematic errors and it doesn't make any sense to improve statistical errors past the point of no-return in any experiment. contamination, increasing the count of atoms won't help, either.

Isotope separation is pretty expensive, even because a big improvement in the field can be really dangerous at political-military level.

The third contribution, instrument background, has a number of sources.

The main sources are generally the following: The maximum allowed sample size is typically about 10 mg of carbon.

The second contribution, laboratory contamination, is largely due to sample chemistry (pretreatment, hydrolysis or combustion to CO2, and reduction to graphite), which generally introduces a small amount of modern carbon, typically at least 1 microgram [8, 12, 13, 14].

Thus a 1 mg sample of infinitely old carbon would measure at least 0.1 p MC (percent modern carbon) before background subtraction...




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