# Half life dating formula

Radiometric dating is sometimes referred to as radioactive dating.In fact, you might like this term better, because the dating method relies on the known decay rate of radioactive isotopes. So what we do is we come up with terms that help us get our head around this. So I wrote a decay reaction right here, where you have carbon-14. So now you have, after one half-life-- So let's ignore this. I don't know which half, but half of them will turn into it. And then let's say we go into a time machine and we look back at our sample, and let's say we only have 10 grams of our sample left. Now you could say, OK, what's the probability of any given molecule reacting in one second? But we're used to dealing with things on the macro level, on dealing with, you know, huge amounts of atoms. So I have a description, and we're going to hopefully get an intuition of what half-life means. And how does this half know that it must stay as carbon? So if you go back after a half-life, half of the atoms will now be nitrogen. Then all of a sudden you can use the law of large numbers and say, OK, on average, if each of those atoms must have had a 50% chance, and if I have gazillions of them, half of them will have turned into nitrogen. How much time, you know, x is decaying the whole time, how much time has passed? Too many or too few neutrons may make the nucleus liable to decay. Electron or beta decay is the basis of radiocarbon dating when the radiocarbon isotope of Carbon is transmuted into Nitrogen by beta decay. It is positron decay which initiates the Sun's nuclear fusion.A Hydrogen atom (proton) is transformed into a neutron which then fuses with another Hydrogen atom under the Sun's conditions of extreme temperature and pressure to form Deuterium an isotope of Hydrogen.

Thus Lithium-7 or Since different isotopes of an element all have the same number of protons and electrons, they have the same or similar chemical properties, but they differ in mass due to the different numbers of neutrons in the nucleus and because of this the nucleus may be unstable.

I mean, maybe if we really got in detail on the configurations of the nucleus, maybe we could get a little bit better in terms of our probabilities, but we don't know what's going on inside of the nucleus, so all we can do is ascribe some probabilities to something reacting. And it does that by releasing an electron, which is also call a beta particle. And I've actually seen this drawn this way in some chemistry classes or physics classes, and my immediate question is how does this half know that it must turn into nitrogen? So that after 5,740 years, the half-life of carbon, a 50% chance that any of the guys that are carbon will turn to nitrogen. But we'll always have an infinitesimal amount of carbon. Let's say I'm just staring at one carbon atom. You know, I've got its nucleus, with its c-14. I mean, if you start approaching, you know, Avogadro's number or anything larger-- I erased that. After two years, how much are we going to have left? And then after two more years, I'll only have half of that left again.

And so, like everything in chemistry, and a lot of what we're starting to deal with in physics and quantum mechanics, everything is probabilistic. So one of the neutrons must have turned into a proton and that is what happened. And you might say, oh OK, so maybe-- let's see, let me make nitrogen magenta, right there-- so you might say, OK, maybe that half turns into nitrogen. And over 5,740 years, you determine that there's a 50% chance that any one of these carbon atoms will turn into a nitrogen atom. And we could keep going further into the future, and after every half-life, 5,740 years, we will have half of the carbon that we started. Now, if you look at it over a huge number of atoms. But after two more years, how many are we going to have? So this is t equals 3 I'm sorry, this is t equals 4 years.

Radiometric dating is a method used to determine the age of rocks and other materials based on the rate of radioactive decay. Radiometric dating is a method used to date rocks based on the known decay rate of radioactive isotopes. Now, they do not give off enough radiation that you have to be afraid to pick them up, but they do contain naturally occurring radioactive elements like uranium, for example.

Learn about three common types of radioactive decay: alpha decay, beta decay and gamma decay. You simply subtract your birth date from the current date. It was also discovered that these elements decayed into other elements at fixed rates.

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Practical applications of the use of nuclear energy to generate electricity are given on the Nuclear Energy - The Practice page The diagram above shows a representation of the constituents of an atom using Lithium as an example.

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