Here are the equations for the radioactive decay reactions you requested:

Alpha Emission by Thorium-228 (²²⁸Th)

* Parent Nucleus: ²²⁸Th

* Daughter Nucleus: ²²⁴Ra (Radium-224)

* Alpha Particle: ⁴He (Helium-4)

Equation:

²²⁸Th → ²²⁴Ra + ⁴He

Beta Emission by Aluminum-28 (²⁸Al)

* Parent Nucleus: ²⁸Al

* Daughter Nucleus: ²⁸Si (Silicon-28)

* Beta Particle: ⁰⁻¹e (Electron)

* Antineutrino: ν̅ₑ (Electron Antineutrino)

Equation:

²⁸Al → ²⁸Si + ⁰⁻¹e + ν̅ₑ