Alpha Decay Energy Calculator

Alpha decay is a type of radioactive decay where an unstable atomic nucleus emits an alpha particle (helium nucleus with 2 protons and 2 neutrons). This transforms the parent nucleus into a daughter nucleus with atomic number reduced by 2 and mass number reduced by 4.

The Q-value represents the energy released during alpha decay. It's calculated using Einstein's mass-energy equivalence: Q = (mass of parent - mass of daughter - mass of alpha particle) × c². The result shows the binding energy difference converted to kinetic energy.

Alpha decay energy is typically measured in MeV (mega electron volts), which is convenient for nuclear physics. It can also be expressed in joules or other energy units, but MeV is the standard in nuclear calculations.

Alpha decay energy is positive because the process is spontaneous and energetically favorable. The total mass of the products (daughter nucleus + alpha particle) is less than the parent nucleus mass, with the difference released as kinetic energy.

Calculations are highly accurate when using precise atomic masses. The accuracy depends on the precision of input mass values, typically measured to 5-6 decimal places in atomic mass units for reliable energy predictions.

Alpha decay occurs in heavy nuclei (typically Z > 82) where the strong nuclear force cannot effectively hold the nucleus together against electromagnetic repulsion. The process must also be energetically favorable (positive Q-value).

While Q-value calculations determine if decay is energetically possible and the energy released, they don't directly predict decay rates or half-lives. Decay rates depend on additional quantum mechanical factors like tunneling probability.

The Q-value energy is converted to kinetic energy, shared between the alpha particle and recoiling daughter nucleus. The alpha particle typically carries most of the kinetic energy due to its much smaller mass compared to the daughter nucleus.