Radioactive materials decay from the “Parent” material into the “Daughter Product”. Original “Parent” Material Daughter Product
• • Some atoms in the parent are isotopes These atoms have a different number of neutrons than protons They are unstable As isotopes decay to stable daughter energy is released
You’ll never know which atoms will decay. . . (16 atoms)
… or when. . .
But one thing we do know. . .
. . . is that it always takes the same amount of time for half to disappear. (8 atoms)
Radioactive Decay l l l Parent – unstable Daughter – stable Half-life is the time required for HALF of the atoms of the unstable parent to decay to stable daughter
Each half-life, the amount of atoms gets cut in half.
Since you don’t know how many atoms you started with, a ratio between parent to daughter will tell you how many half-lives have gone by. 100% parent 0% daughter 0 half lives
One half-life. 50% parent 50% daughter 1 half-life
Two half-lives. 25% parent 75% daughter 2 half-lives
Three half-lives. 12. 5% parent 87. 5% daughter 3 half-lives
Four half-lives. 6. 25% parent 93. 75% daughter 4 half-lives
Don’t worry about the last atom. You start with so many trillions that you never really get there. (It will just decay and then they’re all gone. )
Shape of curve similar for each radioactive isotope
Half Life l l Continues indefinitely Random and spontaneous Not affected by temperature or pressure Not affected by mass or volume of parent