Ions with a single electron such as He , Li 2 , and Be 3 are described by the H atom wave functions with Z a 0 substituted for 1 a 0 , where Z is the nuclear charge The 1s wave function becomes (r) 1 (Z a 0 ) 3 2 e Zr a0 Using this result, calculate the total energy for the 1s state in H, He , Li2 ...

We substitute in the radial equatio ...

Ions with a single electron such as He + , Li 2+ , and Be 3+ are

Question:

Ions with a single electron such as He⁺, Li²⁺, and Be³⁺ are described by the H atom wave functions with Z/a₀substituted for 1/a₀, where Z is the nuclear charge. The 1s wave function becomes ψ (r) = 1 / √π (Z/a₀)^3/2 e^-Zr/a0 Using this result, calculate the total energy for the 1s state in H, He⁺, Li2⁺, and Be³⁺ by substitution in the Schrödinger equation ?