Quantum Mechanics Terry A. Ring University of Utah

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Quantum Mechanics
Terry A. Ring
University of Utah
Movement of the Electron around
the Nucleus
Erwin Rudolf Josef Alexander Schrödinger
Born: 12 Aug 1887 in Erdberg, Vienna, Austria
Died: 4 Jan 1961 in Vienna, Austria
Nobel Prize in Physics 1933
"for the discovery of new productive forms of atomic theory"
Time Dependent
Wave Equation!
Time Independent
Spherical Coordinates
f
r
q
Three Part Solution
Energy of the electron
Energy is related to the Principle Quantum number, n.
This gives 3 of the 4 quantum numbers, the last one is
the spin quantum number, s, either +½ or – ½.
Wave
Functions
Probability to find
an electron
Energy of the electron
Electron Transitions give off
Energy as Light/Xrays
E=hc/l
Red/Blue Clouds in Space
Zeeman Effect
Light Emission in Magnetic Field
Multi-electron Atoms
(Wolfgang) Pauli Principle Exclusion Principle
No 2 electrons with same quantum numbers!
Periodic Table of the Elements
Dmitri Mendelyeev, 1869.
Light Emission from Elements
Predicted
Shape of Molecules
B2H6
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