PHYS261 - autumn 2016

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Introduction - part II - Quantum Physics and the Hydrogen atom
(this version is not yet final; web-links are missing - and some further comments are missing)

Schrödinger equation for the hydrogen atom

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    An interesting "daily news" topic - radiative and non-radiative transitions - i.e. how atoms release excitation energy
    Autoionizing states in Helium (three lectures ahead)

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Wavefunctions - Spherical harmonics

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Polar plots; densities ( squared abs. W.F. )

L=6 M=0 L=9 M=4 L=5 M=4

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Anatomy of the "orbital wavefunctions" - or rather probability densities

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A more dramatic case

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Wavelengths vs energies in electrnvolts - a code The code run in a unix terminal (visible spectrum indicated)

Relation of wavelengths - energies - program lines for Octave or MATLAB

energ_eV  = 1238.6 / lambda_nm

200.00 nm         6.19 eV
    225.00 nm         5.50 eV
    250.00 nm         4.95 eV
    275.00 nm         4.50 eV
    300.00 nm         4.13 eV
    325.00 nm         3.81 eV
    350.00 nm         3.54 eV
    375.00 nm         3.30 eV
    400.00 nm         3.10 eV
    425.00 nm         2.91 eV
    450.00 nm         2.75 eV
    475.00 nm         2.61 eV
    500.00 nm         2.48 eV
    525.00 nm         2.36 eV
    550.00 nm         2.25 eV
    575.00 nm         2.15 eV
    600.00 nm         2.06 eV
    625.00 nm         1.98 eV
    650.00 nm         1.91 eV
    675.00 nm         1.83 eV
    700.00 nm         1.77 eV
    725.00 nm         1.71 eV
    750.00 nm         1.65 eV
    775.00 nm         1.60 eV
    800.00 nm         1.55 eV
    825.00 nm         1.50 eV
    850.00 nm         1.46 eV
    875.00 nm         1.42 eV
    900.00 nm         1.38 eV
    925.00 nm         1.34 eV
    950.00 nm         1.30 eV
    975.00 nm         1.27 eV
   1000.00 nm         1.24 eV

lambda_nm = 1238.6 / energ_eV

1.00 eV      1238.60 nm
      1.10 eV      1126.00 nm
      1.20 eV      1032.17 nm
      1.30 eV       952.77 nm
      1.40 eV       884.71 nm
      1.50 eV       825.73 nm
      1.60 eV       774.12 nm
      1.70 eV       728.59 nm
      1.80 eV       688.11 nm
      1.90 eV       651.89 nm
      2.00 eV       619.30 nm
      2.10 eV       589.81 nm
      2.20 eV       563.00 nm
      2.30 eV       538.52 nm
      2.40 eV       516.08 nm
      2.50 eV       495.44 nm
      2.60 eV       476.38 nm
      2.70 eV       458.74 nm
      2.80 eV       442.36 nm
      2.90 eV       427.10 nm
      3.00 eV       412.87 nm
      3.10 eV       399.55 nm
      3.20 eV       387.06 nm
      3.30 eV       375.33 nm
      3.40 eV       364.29 nm
      3.50 eV       353.89 nm
      3.60 eV       344.06 nm
      3.70 eV       334.76 nm
      3.80 eV       325.95 nm
      3.90 eV       317.59 nm
      4.00 eV       309.65 nm
      4.10 eV       302.10 nm
      4.20 eV       294.90 nm
      4.30 eV       288.05 nm
      4.40 eV       281.50 nm
      4.50 eV       275.24 nm

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ATOMIC UNITS

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NEXT : introduction part III and The physics of 2-electron atoms