Doubly ionised lithium, Li

PHYSICS · Multi-part · Fermi University Physics · Quantum Mechanics · Atomic, Molecular & Optical Physics · Origins of quantum theory

Quantum Mechanics: From the Photon to the Hydrogen Atom, Ch Line spectra, the Bohr atom and the old quantum theory

Problem

^{2+}

, has a nucleus of charge

Z = 3

with a single electron bound to it. Use the Bohr results for a one-electron ion, with the hydrogen ground-state energy

13.6

eV, the Bohr radius

a_0 = 0.0529

nm and

hc = 1240

eV nm; treat the nucleus as fixed. ((a)) Find the energy of the

n = 1

level, in eV. ((b)) Find the radius of the

n = 1

orbit, in nm. ((c)) Find the wavelength of the photon that just ionises the ion from its ground state, in nm.