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PIB case study

PIB case study. Finite Potential Barrier Kooknam jeon. Finite Potential Barrier. Barrier Inside. Barrier Outside. Define alpha and represent equation. Define k and represent equation. Finite Potential Barrier. Barrier Inside. Barrier Outside. Ⅰ. Ⅲ. Ⅱ. Boundary Condition. Ⅰ / Ⅱ. Ⅱ.

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PIB case study

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  1. PIB case study Finite Potential Barrier Kooknam jeon

  2. Finite Potential Barrier Barrier Inside Barrier Outside Define alpha and represent equation Define k and represent equation

  3. Finite Potential Barrier Barrier Inside Barrier Outside Ⅰ Ⅲ Ⅱ Boundary Condition Ⅰ / Ⅱ Ⅱ Ⅰ Ⅱ / Ⅲ Ⅲ <assume> Electrons are moving left to right side

  4. 4 equation 4 unknown solve for T Transmission coefficient Barrier width Decay length(Potential difference)

  5. Probability Current Density (Flux)

  6. applications The Scanning Tunneling Microscope (STM) • introduced by G. Binnig and W. Rohrer at the IBM Research Laboratory in 1982.  • They was honored by theNoble Prize in 1986. The basic idea • Electron tunneling current is depend on the barrier width and decay length. • STM measure the tunneling current to know the materials depth and surface profiles.

  7. Modes of Operation • Constant Current Mode • Tips are vertically adjusted along the constant current  • Constant Height Mode • Fix the vertical position of the tip • Barrier Height Imaging • Inhomogeneous compound • Scanning Tunneling Spectroscopy • Extension of STM this mode measured the density of electrons in a sample

  8. Thank you Reference • Amit Goswami, Quantum Mechanics 2nd, Waveland Press, ISBN 1-57766-321-7 • Thomas Engel, Quantum Chemistry and Spectroscopy, Pearson Prentice Hall , ISBN 0-321-63781-X • http://www.fkp.uni-erlangen.de/methoden/stmtutor/stmindex.html • http://en.wikipedia.org/wiki/Scanning_tunneling_microscope

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