Lecture 09032009 - -Simplest – “Particle in a...

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Ch 301 Lecture Notes Light/Energy Black body radiator- hypothetical -“failure of classical mechanics” -classical mechanics predicted infinite power (false) -photoelectric effect, requires minimum energy/frequency (called work function/threshold). Quantum mechanics predict that there is a minimum amount of energy to eject electrons Quantization -classical mechanics says electrons can have any value at all for potential energy / distance from nucleus -quantum mechanics, electrons are in energy levels & distance is important Atomic Structure -Gold foil experiment- proved that if you bombarded a thin piece of gold foil the x-rays would be scattered infer the existence of a nucleus -Milliken oil drop experiment Schrodinger Equation
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Unformatted text preview: -Simplest – “Particle in a box”-Quantum numbers emerge-n – principle energy level-allows us to extrapolate more complicated-Complex solution-Hydrogen Atom-E = R ( 1/ n1^2 - 1/n2^2 ) , R = Rydlery constant,- wavelength = ( 2 * L ) / n , L = length of box, n = principle energy level-Shapes of Orbitals (orbital – a region of probability for an electron’s location)-sphere-n = principle energy level-l = shape (Sharp , Principal, Diffuse, Fundamental ) , equal to n-1 … when l = 0 – S , 1 – P, 2 - D-m l = -l …0…l , angular moment- n = 1 / l = 0 - 1s orbital- n = 2 / l = 0 – 2s orbital-m s = + ½ , - ½ , magnetic spin-any electron can be described by 4 principle quantum numbers...
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