Chapter 9 - Modern Physics
Molecular Structure


Assignments in Chapter 9 of Krane's textbook:
      Questions 1, 2, 4;   Problems 1, 3 (Due date: Monday 30 January 2006).
      Question 5;   Problems 5, 7, 8 (Due date: Wednesday 1 February 2006).
      Questions 7, 10;   Problems 10, 11, 21 (Due date: Friday 3 February 2006).
      Question 11;   Problems 23, 25, 27 (Due date: Monday 6 February 2006).

  • Hyperphysics overview
  • Stark effect and index of refraction
  • I. Bonding

    Hydrogen ion

  • QM formulation
  • Pictor A jet
  • Heartbeats
  • Isolated parities
  • Parity pictures
  • Wave functions
  • Animation
  • Proton-proton interaction
  • Electron-protons interaction
  • Opposite parities
  • Economic analogue
  • Model
  • Hydrogen molecule

  • Covalent bonds
  • Radial dependence
  • Compare to ion
  • Reprise model
  • Compare
  • Ionization of H2
  • Molecular orbitals

  • Classical and QM dwell times
  • QM distributions
  • Morphology
  • pp and sp bonding
  • Water, ammonia and methane
  • sp hybrids
  • Caltrops
  • continued
  • Greenhouse tetrahedrons
  • Central angle of a tetrahedron
  • Lee
  • Assignment in Chapter 9 of Krane's textbook:
          Questions 1, 2, 4;   Problems 1, 3 (Due date: Monday 30 January 2006).
  • Q1, Q2, Q4; P1 ;     P3

    Ionic bonds

  • Electron stealing
  • Energy budget
  • Radial dependence
  • Pauli "force?"
  • Power law
  • Ionic character
  • Electronegativity
  • Biological consequences of electronegativity
  • H vs K?
  • Sample calculations
  • Bond angles
  • Trends in directed bonds
  • Hybridization in C, N, O
  • G.N.L.
  • Naming
  • Assignment in Chapter 9 of Krane's textbook:
          Question 5;   Problems 5, 7, 8 (Due date: Wednesday 1 February 2006).
  • Q5;     P5, P7,     P8
  • General potential

    II. Spectroscopy

    Vibration and anharmonic oscillators

  • Vibration and rotation
  • Position probability
  • Average values
  • Quantized SHO
  • With Maslov Index
  • Anharmonicity
  • Perturbation solution
  • Morse potential
  • QM solution
  • Distributions
  • Selection rules
  • 3D quantization
  • 3D Probability distribution
  • Rigid Rotors

  • Vibration and rotation
  • Spherical, symmetric, and asymmetric tops
  • Physical examples
  • Energy levels
  • Transitions
  • Hyperphysics - Molecular Physics
  • Rotational bands
  • Ro-Vib/no electronic or I-moment change
  • Example: HCl
  • HCl (continued)
  • Band heads
  • P, Q, and R branches
  • Swan bands
  • Assignment in Chapter 9 of Krane's textbook:
          Questions 7, 10;   Problems 10, 11, 21 (Due date: Friday 3 February 2006).
  • Q7, Q10; P10,     P11,     P21  
  • Molecular Spectra

  • Level structure
  • Hyperphysics - HCl vibration-rotation
  • III. Interactions

    Thermal equilibrium

  • Maxwellian distribution
  • Boltzmann factor
  • Discrete Boltzmann distribution
  • Assignment in Chapter 9 of Krane's textbook:
          Question 11;   Problems 23, 25, 27 (Due date: 2006).
  • Q11;     Selection rules;     P23,     H2 vib.;     P25,     H2 rot.;     P27     HCl vib.;     Note added     If 1/3 ...     Euclid
  • Transition probabilities

  • Defined
  • RKR Franck-Condon factors
  • R-centroid approximation

    Scattering

  • Raman spectroscopy


    Chapter 1   Chapter 2   Chapter 3   Chapter 4   Chapter 5   Chapter 6   Chapter 7   Chapter 8a

    Chapter 8b
    Chapter 10
    Chapter 11
    Chapter 12
    Chapter 13
    Chapter 14
    Chapter 15

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