vault backup: 2024-08-27 20:15:22
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@ -109,3 +109,27 @@ The chart of the nuclides is how we understand chains of decay, and what will tu
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Any process that releases energy is referred to as radioactive decay.
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**Radionuclide** - an unstable nuclide that is going to decay.
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Types of radiation
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1. Electromagnetic - Energy transmitted as electromagnetic waves
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1. radio, microwave, infrared, etc
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2. Characterized by its frequency
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3. wave-particle business
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4. Photons!
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5. Ionizing at the gamma / x ray range.
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1. gamma $\gamma$ rays are super high energy
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2. They happen when atoms rearrange themselves. Excess energy is emitted as a gamma ray.
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2. Ionizing Radiation - Enough energy to remove one or more electrons from an atom
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# Doing Math
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## Nuclear Decay
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Decay is a random process.
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**Decay constant:**
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$$\lambda = \frac{\text{decay}}{\text{nucleus-second}}$$
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Activity is the amount of decays per second
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$N$ is the number of nuclei present. these are functions of time.
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**Activity:**
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$$ A(t) = \lambda N(t) $$
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$$N(t) = N(0) e^{-\lambda t}$$
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Half life is a derivative of activity:
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$$ t_{1/2} = \frac{0.693}{\lambda}$$
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