Pchem 3b

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  1. De Broglie Relation for wavelength
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  2. what is p in quantum mech
    p = momentum
  3. what is \lImage Upload
  4. WHat is plancks constant
    Ties wavelength to momentum
  5. What is relation to speed of light in quantumk
    c = Image Upload
  6. How do we define kinetic enery of a particle in quantum
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  7. What is root purpose of schreodinger
    • Ties the waveform, momentum and energy of a particle together so that we can relate all three to each other.
    • Given the potnetial energy, the deffinite energy; we can solve ofor wavefunction.
  8. What is the form of hte time independent shreodinter euqation
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    It is used most commonly when we wish to relatede potential energy, actual energy and
  9. What is the condition for orthognality of two vectors
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  10. What is the condition for normalizing a vector
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    To normallize, if not equal to 1, sqrt(1/ans) = N
  11. Hamiltonian operator interms of time and planck
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  12. Linier Momentum Operatort px
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  13. Hamiltonian operator in 3d momentum
    • Energy in terms of momentum
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  14. Postulate 1 of quantum: the state vector rule
    • The state of a quantom at a tiven moment can be described using a normalized state vector having as many complex components as there are possible values for objects observable qualities.
    • |\Image Upload |2Is the chance of finding a particle in the box formed by xyz +dxdydz at time t
  15. Postulate 2 :
    For every observable propoerty there is a linier hermitian operator that connects wave to classical behavior
  16. Postulate 3: How to find psi
    • iImage Upload
    • Solving time dependent shredigner will allow wavefunction to be found
  17. LInier operator condition
    • an object is a linier operator if
    • \Image Upload
  18. Commutation
    If the order of operations is irrelevent, then two operators commute, and if two operators commute on an eigenfunction, then then any eigenfunction of one is also an eigenfunction of the other.
  19. Kinetic Energy Operator
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  20. Calculating binding energy of molecular solids
    • Molecular solids are london and van der waal based
    • function of Image Upload
  21. Calculating binding energy of hydrogen bond solids
    • These are items witha strong difference in electronegativity between components. They have part positive part negative
    • Crystal bond is function of Leonard Jones
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    • Modelled with partial dipole charges
  22. Metallic crystal bonding data
    Calculated with density functional theory 15% accurate for first 50 elements

    Sea of electrons hold together

    Energy = enthalpy of sublimation
  23. Covalent Crystals
    • Share electrons
    • Energy calculated as function of density functional theory
    • Roughly equal to sublimation enthalpy
  24. Ionic molecule
    • Intra molecular bond of ionic crystals
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    Function of bond charges and radius
  25. What type of bond in SiO2 Quartz
  26. What kind of solid is nitrogen
  27. Latice enthalpy of a ionic crystal
    heat sublimation (solid) + Heat vap (gas) +.5 Dissociation (gas) + ionization energy (solid)-electronaffinity (gas)-Heat of formation (crystal)
  28. Langmuir hinschelwood surface
    • Requires a and b to bond next to each other on surface
    • A and b then react
    • Peak and then decline
  29. How do we account for effect of temperature on adsorption?
    Van't hoff equation...
  30. Finding hads
    • PLot : ln (P) vs 1/T
    • Slope = incH/R
  31. What happens to adsorption when temp rise
    Adsorption decline per le chatleir principle
  32. Langmuir Rideal
    • A and b bond competitively to surface
    • A needs to be in gas Phase and B bonded to surface for reaction.
  33. Speed of Light vs wave qualities
    c= wavelength*frequency
  34. Energy in quantum mech relation to planc
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  35. Blackbody failure
    • Classic physics (rahleigh jean)assumed would increase as v/t increase
    • QUantum showed peak followed by decline as function of probabillity of different energy levels (Planck, wein)
  36. Photoelectric failure
    • Classic physics predict that energy of ejected electrons depend on light
    • In quantum, shown that in fact energy of ejected electrong depend on frequency (hv)
  37. Work function
    hv= Kinetic Energy+w
  38. Photon dual theory
    • Photons have both wave and particle effects
    • Difraction and interference are functions of wave
    • PHotoelectric is function of particle
  39. Bohr stationary state
    Stated that elecrong has stome sttionary state in which it does not emit EM radiation
  40. Boher energy to move between states
    • hv= E2-E1
    • Shows spectral frequency of an electron moving between energy states
  41. Relation between momentum and velocity
  42. Psi must be well be haved. What does well behaved mean (33 criterea)
    • Singel valued
    • Smooth and continuous (function and derivative)
  43. Postulate 4: Measurement to eigenvalue connection
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    • States that for an operator F, ther corespanding eigenvalues f crepresent all possible values of that physical quantity
  44. Deffining aeigenvalue
    If A_hat is an operator and a is a constant and g is some function

    So long as Image Upload then g is an eigenfunction
  45. Postulate 5: expected values
    • if we have some value f we wish to find, teh average value will be
    • \bar F = Image Upload
  46. Zero POint energy of a particle
    Lowest possible energy (can be less than zero)
  47. Nodes related to quantum enegy
    Nodes = n-1
  48. Energy in quantum, vs classic
    Quantum does not allow all energy levels, classic does
  49. Comparison of quantoum to classic enegy lowest
    Lowest energy is not zero in quantum, it is in classic
  50. Location of particle in quantum vs classic
    In quantum there ar non equal possible locations and forbiden zones, in classical, all are equally possible.
  51. Tying energy change to wavelength
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Pchem 3b
2012-04-11 15:37:49
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