How do fractions of half life works, can i have a quarter life?

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For 1000k atoms I will have a 500k after 1 half life, and 250k after 2 half lives. But when I try to do the same with fractions something doesn’t add up. Because after “quarter life” i will have 750k atoms, but then I’ll have 562500 atoms, because of 750k multiplied by 0.75. So quarter life should be equal to 0.5 of half life, but half life doesn’t work that way. I am confused.

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Anonymous 0 Comments

You are right that a quarter life is not half of a half life. There are actually 2.409 quarter lives in a half life. The decay is not linear like you expect but exponential.

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