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Quantum Chemistry
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Valence Edward Frankland ( ) Illustrated for Group 5A Elements
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When the formulae of inorganic chemical compounds are considered, even a superficial observer is impressed with the general symmetry of their construction. The compounds of nitrogen, phosphorus, antimony, and arsenic, especially, exhibit the tendency of these elements to form compounds containing 3 or 5 atoms of other elements; and it is in these proportions that their affinities are best satisfied: thus in the ternal group we have: NO3, NH3, NI3, NS3, PO3, PH3, PCl3, SbO3, SbH3, SbCl3, AsO3, AsH3, AsCl3, etc.: and in the five-atom group, NO5, NH4O, NH4I, PO5, PH4I, etc. Without offering any hypothesis regarding the cause of this symmetrical grouping of atoms, it is sufficiently evident from the examples just given, that such a tendency or law prevails, and that, no matter what the character of the uniting atoms may be, the combining power of the attracting element, if I may be allowed the term, is always satisfied by the same number of these atoms. Phil. Trans. Royal Soc. 1852
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Richard Abegg ( ) Abegg’s Rule The difference between the maximum positive and negative valence of an element is frequently eight.
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The Development of Quantum Mechanics
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Nature of Light Christiaan Huygens (1629 – 1695)
Isaac Newton ( )
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Properties of Waves Reflection Refraction
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Diffraction
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Interference
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Properties of Light Refraction Reflection
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Young’s Double Slit Experiment
Thomas Young (1773 – 1829)
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Laser Source for Double Slit Experiment
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Interpretation of the Double Slit Results
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Maxwell’s Equations James Clerk Maxwell (1831 – 1879)
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Electromagnetic Radiation
Electromagnetic Spectrum
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Heinrich Hertz (1857 – 1894)
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Blackbody Radiation
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Cavities as Blackbodies
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The Ultraviolet Catastrophe
Lord Rayleigh James Jeans
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Max Planck (1858 – 1947) After a few weeks of the most strenuous labor of my life, the darkness lifted and a new, unimagined prospect began to dawn.
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Photoelectric Effect
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Einstein’s equation was a bold prediction,
Albert Einstein (1879 – 1955) Robert Millikan ( ) Einstein’s equation was a bold prediction, for at that time there was no evidence that Planck’s constant had any applicability outside of blackbody radiation and there were no experimental data on the [kinetic energy] as a function of frequency. Physics by Paul A. Tipler
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Millikan’s Photoelectric Data
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The Double Slit Experiment Revisited
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Matter Waves Louis de Broglie (1892 – 1987) l = h/p
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Electron Diffraction Observed in 1927
Crystalline Nickel as an Electron Target L. H. Germer C. J. Davisson …studying electron scattering from a nickel target at Bell Laboratories. After heating the target to remove an oxide coating that had accumulated during an accidental break in the vacuum system, they found that the scattered-electron intensity as a function of the scattering angle showed maxima and minima. Their target had crystallized, and by accident they had observed electron diffraction. Physics by Paul A. Tipler
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Electron as “Orbiting” Wave
Constructive Interference Destructive Interference (Standing Wave)
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Quantized “Orbits” Due To Standing Wave Req.
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Reformulations of Classical Mechanics
Isaac Newton (1643 – 1727) Joseph Louis Lagrange William Hamilton (1736 – 1813) (1805 – 1865)
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Now What? The wave function contains all possible
information about a system, so instead of speaking of “the state described by the wave function Y,” we simply say “the state Y.” Quantum Chemistry by Ira N. Levine Erwin Schrodinger (1887 – 1961)
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What is the Wave Function?
Quantum mechanics does not say that an electron is distributed over a large region of space as a wave is distributed. Rather, it is the probability patterns (wave functions) used to describe the electron’s motion that behave like waves and satisfy a wave equation. Quantum Chemistry by Ira N. Levine Max Born (1882 – 1970)
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