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

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Mar 06, 2023 503 likes •723 views

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

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

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Boundary Condition:

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

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Probability of finding a particular angle Φ in the interval dΦ:

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SPHERICAL COORDINATES

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SOLVING THE SCHRODINGER EQUATION FOR ROTATION IN THREE DIMENSIONS

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THE QUANTIZATION OF ANGULAR MOMENTUM

s, p, d orbitals

Different shapes are related with l, ml

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SPHERICAL HARMONIC FUNCTIONS

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