Common Nuclear Equations and Concepts (ChemH)

N/N₀=(0.5)^(t/t½)

Used to determine fraction of material remaining after a given time period when given the half-life

t=-1.443t½*ln(N/N₀)

Used to determine the age of a material, given the fraction of the sample remaining

N/N₀=e^-kt

Used to determine the fraction of material remaining given the age and the decay constant of the material

t½=0.693/k

Used to determine the half-life of a material, given the decay constant

Magic numbers (list)

2, 8, 20, 28, 50, 82, 126 (for neutrons)

Magic numbers (definition)

Specific numbers of protons or neutrons that make an atom particularly stable.

Proton/neutron ratios (most stable → least stable)

Even/even, even/odd, odd/even, odd/odd