2. Consider a doubly ionized atom of Li (Z= 3), Draw an energy-level diagram showing the ground state and first 3 excited states. Label each state with its energy and principle quantum number. Calculate the longest-wavelength photon emitted in transitions from the third excited state. Calculate the ionization energy of the third excited state. If the atom is in its ground state, what is the longest wavelength at which it can absorb a photon? Indicate this process on your energy-level diagram. 201 h* d*v 2m da² + U(x)(x) = E(2) h²n² En 8mL2 (n = 1,2,3,...) (x)=(mwo/h)/4-(√km/2h)x2 En=(n+hwo (n= 0, 1, 2, ...) aon² Tn= Ꮓ E₁ = -(13.6eV) Z2 n2 m= 4Teoh² me² = me4 1 -13.6 eV n² aon² (n = 1,2,3,...) AE memp me+mp dV = r² sin drdodo (10.2eV)(Z-1)² En 32m²² n² n² (n = 1,2,3,...) α= n² e2 Απελε 1 A = Alimit 12- n² (n =no +1, no +2, no + 3,...) AE = mc2a4- ηδ λ = 64x³ ³c n²n me4 1 = n²-n nin Ron-n P(r) = r²| Rn,1(r)|2 N(0) == =(*)(*) 2 1 sin 0/2 n(x)=√ 2 ппх sin L

2. Consider a doubly ionized atom of Li (Z= 3), Draw an energy-level diagram showing the ground state and first 3 excited states. Label each state with its energy and principle quantum number. Calculate the longest-wavelength photon emitted in transitions from the third excited state. Calculate the ionization energy of the third excited state. If the atom is in its ground state, what is the longest wavelength at which it can absorb a photon? Indicate this process on your energy-level diagram. 201 h* dv 2m da² + U(x)(x) = E(2) h²n² En 8mL2 (n = 1,2,3,...) (x)=(mwo/h)/4-(√km/2h)x2 En=(n+hwo (n= 0, 1, 2, ...) aon² Tn= Ꮓ E₁ = -(13.6eV) Z2 n2 m= 4Teoh² me² = me4 1 -13.6 eV n² aon² (n = 1,2,3,...) AE memp me+mp dV = r² sin drdodo (10.2eV)(Z-1)² En 32m²² n² n² (n = 1,2,3,...) α= n² e2 Απελε 1 A = Alimit 12- n² (n =no +1, no +2, no + 3,...) AE = mc2a4- ηδ λ = 64x³ ³c n²n me4 1 = n²-n nin Ron-n P(r) = r²| Rn,1(r)|2 N(0) == =()(*) 2 1 sin 0/2 n(x)=√ 2 ппх sin L