Li is a lithium nucleus ( ) with a single remaining electron
PHYSICS · Multi-part · Fermi University Physics · Quantum Mechanics · Atomic, Molecular & Optical Physics · One-electron atoms and the origins of atomic structure
Reading the Spectrum, Ch The nuclear atom and the Bohr-Sommerfeld model
Problem
Li2+ is a lithium nucleus (Z=3) with a single remaining electron, so it is a one-electron hydrogenic ion. Treat the nucleus as fixed (infinite mass, so R∞ rather than a reduced-mass RM may be used). For the electron in the n=2 level of Li2+, calculate:
((a)) the orbital radius r2;
((b)) the energy E2;
((c)) the orbital speed v2. Use a0=0.052918nm, hydrogen's ground-state energy E1(H)=−13.606eV and ground-state speed v1(H)=2.19×106ms−1 as the reference scalings.