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Transcript of Next Class 2.1.1 The Periodic Table 2.3 Periodic Trends 2.1.1 The Periodic Table Next Class 2.1.1...

  • This Class

    2.1.2 The Bohr Atom


    2.2 The Schrödinger Equation

    2.1.1 The Periodic Table

    Next Class

    2.1.1 The Periodic Table

    2.3 Periodic Trends

    �1

  • The Bohr Atom Section 2.1.2

    �2

    E = 1/2mv2 + -Ze2 r

    Ze2 = mv2

    rr2 mvr = nh

    En = – 2π2Z2e4me

    h2n2

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  • https://en.wikipedia.org/wiki/Electron_diffraction#/media/File:DifraccionElectronesMET.jpg

    Wave-Particle Duality

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  • Wave Mechanics Section 2

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  • The Schödinger Equation Section 2.2

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  • What is the wave function? (consider a particle in a box…) 2.2.1

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  • Particle in a Box Section 2.2.1

    �7

  • Every electron is described by a wave function. The probability of finding an electron at a given point is Ψ2 but

    Schödinger Equation Section 2.2

    Math English

    1. The wave function must be single valued.

    2. The wave function and its first derivatives must be continuous. 3. The wave function must approach 0 as r approaches infinity

    4. Integrating ΨAΨA* over all space must equal 1.

    5. Integrating ΨAΨB* over all space must equal 0.

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  • http://www.westfield.ma.edu/cmasi/advinorg/angular_distribution_functions/text_and_graphics_containe.htm


    Wave Functions

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  • Section 2.1

    �10