Final answer:
The electron capture by Be is represented by the equation 7/4 Be + e¯ → 7/3 Li + νe, where a neutron in Be captures an electron to become a Li nucleus, emitting a neutrino. The energy released in this process can be calculated using the formula for binding energy.
Step-by-step explanation:
The reaction for electron capture by Be can be described as follows:
7/4 Be + e⁻ → 7/3 Li + νₑ
Here, a neutron in the beryllium nucleus captures an electron from one of the closest orbits to form a lithium nucleus and releases a neutrino (νₑ). This process helps in maintaining the conservation of charge, electron family number, and the total number of nucleons, as a neutron is converted into a proton while capturing an electron.
The energy released during this process can be calculated using the formula:
BE = (Δm)c² = [(Zmp + Nmn) - m₁₂₃ₜₘₜ]c²,
where δm represents the change in mass, mp is the mass of a proton, mn is the mass of a neutron, and m₁₂₃ₜₘₜ is the total mass of the nuclide. By substituting the appropriate values into this equation, we can find the released energy.