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SOLVING SCHRODINGER EQUATION FOR ROTATION IN TWO DIMENSIONS Full - PowerPoint PPT Presentation

SOLVING SCHRODINGER EQUATION FOR ROTATION IN TWO DIMENSIONS Full description of the motion of a molecule: translation, vibration, rotation Boundary Condition: For rotation in the x-y plane, the angular momentum vector lies on the z-axis


  1. SOLVING SCHRODINGER EQUATION FOR ROTATION IN TWO DIMENSIONS Full description of the motion of a molecule: translation, vibration, rotation

  2. Boundary Condition:

  3. For rotation in the x-y plane, the angular momentum vector lies on the z-axis

  4. Probability of finding a particular angle Φ in the interval d Φ :

  5. SPHERICAL COORDINATES

  6. SOLVING THE SCHRODINGER EQUATION FOR ROTATION IN THREE DIMENSIONS

  7. THE QUANTIZATION OF ANGULAR MOMENTUM Different shapes are related with l, m l • s, p, d orbitals

  8. SPHERICAL HARMONIC FUNCTIONS

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