Decay constantDecay constantproportionality decay constant the size of a population of radioactive atoms and the rate at which the population decreases because of radioactive decay. This shows that the population decays exponentially at a rate that depends on the decay constant. Decay constant time required for half of the original population of radioactive atoms to decay is called the half-life. Dcay welcome suggested decay constant to any of our articles. You can make it easier for ciclo winstrol y oxandrolona oral to review and, hopefully, publish your contribution by keeping a few points in mind.
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In my curriculum, the decay constant is "the probability of decay per unit time". To me, this seems non-sensical, as the decay constant can be greater than one, which would imply that a particle has a probability of decaying in a time span that is greater than 1.
You're missing two things. First, that the decay constant is the probability of decay per unit time. That part is important. The actual decay probability over a short time period is equal to the probability per unit time, multiplied by the time period:.
So there's no contradiction there. You have to start with an undecayed nucleus. But if the nucleus did decay in the first time interval, the probability that it will have decayed by the end of the second time interval is 1.
So the equation for exponential decay emerges naturally from the fact that the decay constant is the decay probability per unit time for an undecayed nucleus. Or of course the same argument applies to any other system that undergoes exponential decay, not just nuclei. As written here , it's proportionality constant between size of population of radioactive atoms and the rate at which the population decreases due to decay: Looking at the solution of the equation above we can say: If you read the article your question links to after editing by Qmechanic, you'll see another examples of exponential decay, not only for radioactive decay.
The probability that a single nucleus decays in a short period of time is approximately given by the decay constant multiplied by the length of the time period. This is only a first order approximation of the exponential decay. If the decay constant is larger than one, the time unit it is given in is obviously too large for the first order approximation too be valid at that time scale.
Can someone explain this? DarkLightA 2 10 The actual decay probability over a short time period is equal to the probability per unit time, multiplied by the time period: Decay constant isn't a probability. Ruslan 5, 3 24 What does it mean for a dimensional constant to be larger than one which is dimensionless?