Jossy Science Academy is live! BINDING ENERGY CALCULATIONS.
Автор: Jossy Science Academy
Загружено: 2024-10-31
Просмотров: 599
Описание:
Binding Energy
Binding energy is the energy required to disassemble a nucleus into its constituent protons and neutrons.
Formula:
Binding Energy (BE) = Δm × c^2
where:
Δm = mass defect (difference between nuclear mass and sum of individual nucleon masses)
c = speed of light
Mass Defect
Mass defect (Δm) = [Z(mp + mn) - M]
where:
Z = atomic number
mp = proton mass
mn = neutron mass
M = nuclear mass
Radioactivity
Radioactivity occurs when an unstable nucleus decays into a more stable configuration, releasing energy.
Types of Radioactive Decay:
1. Alpha (α) decay: emission of 2 protons and 2 neutrons
2. Beta (β) decay: emission of electrons or positrons
3. Gamma (γ) decay: emission of high-energy photons
Key Equations:
1. Nuclear reaction: A + B → C + D + Q
2. Q-value (energy released): Q = [m_A + m_B - m_C - m_D] × c^2
3. Half-life (t_1/2): time for half the nuclei to decay.
Formulas at a Glance:
| Concept | Formula |
|------------------------|----------------------|
| Binding Energy | BE = Δm × c^2 |
| Mass Defect | Δm = [Z(mp + mn) - M] |
| Q-value | Q = [m_A + m_B - m_C - m_D] × c^2 |
| Half-life | t_1/2 = ln(2) / λ |
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