The Be ion (a single electron, ) is hydrogen-like

PHYSICS · Multi-part · Fermi University Physics · Quantum Mechanics · Central potentials and canonical three-dimensional systems · Central potentials and canonical three-dimensional systems

The Structure of Quantum Mechanics, Ch Hydrogen, and the symmetry that explains it

Problem

The Be

^{3+}

ion (a single electron,

Z=4

) is hydrogen-like. Using the algebraic result

E_n=-13.606\,\mathrm{eV}\,Z^2/n^2

and the

n^2

degeneracy that follow from the

SO(4)

Casimir relation: ((a)) Find

E_2

for Be

^{3+}

. ((b)) State the degeneracy of this level and the allowed values of

l

Related theory

Quantum Mechanics

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