Modern Physics

Alpha Decay Energy (Q-value)

Q=(mparentmdaughtermα)c2Q = (m_{parent} - m_{daughter} - m_\alpha)c^2

The energy released in alpha decay equals the mass difference times c². A positive Q-value means the decay is energetically allowed.

Variables

Q
Energy released (Q-value)
J
m_{parent}
Parent nucleus mass
kg
m_{daughter}
Daughter nucleus mass
kg
m_\alpha
Alpha particle mass
kg
c
Speed of light
m/s

Derivation

Conservation of energy and mass-energy equivalence.

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Common questions

What is the Alpha Decay Energy (Q-value) formula?

Alpha Decay Energy (Q-value) is written Q = (mₚₐᵣₑₙₜ - mdₐᵤgₕₜₑᵣ - m_α)c². The energy released in alpha decay equals the mass difference times c². A positive Q-value means the decay is energetically allowed. It belongs to Modern Physics, under Nuclear Physics.

What are the units in Q = (mₚₐᵣₑₙₜ - mdₐᵤgₕₜₑᵣ - m_α)c²?

In SI units, Q is energy released (q-value), measured in J; m_{parent} is parent nucleus mass, measured in kg; m_{daughter} is daughter nucleus mass, measured in kg; m_\alpha is alpha particle mass, measured in kg; c is speed of light, measured in m/s.

How is the Alpha Decay Energy (Q-value) formula derived?

Conservation of energy and mass-energy equivalence. The result is Q = (mₚₐᵣₑₙₜ - mdₐᵤgₕₜₑᵣ - m_α)c².