Physics: Radioactive Decay, Half-Life, and Fission Formulas
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23 Terms
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Alpha Particle
⁴₂He
2
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Beta Particle (Electron)
⁰₋₁e
3
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Positron
⁰₁e
4
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Gamma Ray
⁰₀γ
5
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Neutron
¹₀n
6
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Proton
¹₁H
7
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Electron Capture
⁰₋₁e
8
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Beta-minus Decay
n → p + ⁰₋₁e
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Beta-plus Decay
p → n + ⁰₁e
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Gamma Emission
No change in mass or atomic number
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Number of Half-Lives (n)
Total Time / Half-Life
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Remaining Fraction
(½)ⁿ
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Remaining Mass
Initial Mass × (½)ⁿ
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Decay Constant (λ)
ln(2) / Half-Life
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Activity (A)
λ × N
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Time Elapsed
n × Half-Life
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Fraction Decayed
1 − (½)ⁿ
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Nuclei Remaining
N₀ × e^(−λt)
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Half-Life (t₁/₂)
Total Time / Number of Half-Lives
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Total Time
n × Half-Life
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Balanced Fission
Sum of mass numbers and atomic numbers must match
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Neutron Count
Total neutrons = Incoming neutron + excess neutrons
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Energy Released
E = mc²
Note 
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