De Broglie's Wave-Particle Duality and the Birth of Quantum Mechanics - Prof. William Rein, Study notes of Physical Chemistry

Download De Broglie's Wave-Particle Duality and the Birth of Quantum Mechanics - Prof. William Rein and more Study notes Physical Chemistry in PDF only on Docsity! Along come Einstein and de Broglie  Einstein explains Planck’s “ansatz” ε(ν) = n (hν)….  de Broglie suggests that if waves (e.g. light) might “be” particles, then (fair is fair) particles should also “be” waves! By use of “analogies” with Einstein’s theory of relativity, de Broglie suggested that: λ = h/(mv) = h/p  Here h is, again, Planck’s constant  mv = p is the classical momentum of a particle of mass “m” moving at velocity “v”, and  λ is the wave-length of the particle…… With the de Broglie formula we are ready to carry out Bohr’s quantization of the H atom and give the “first correct explanation of the spectrum of an atom or molecule…..” by combining Bohr’s stationary orbits, with Einstein’s photons… DD) 2 €on* he n ay ” — wZe>m, Z, ‘e ao, the Bohr radius, has the numerical value 5.29 x 107!! m: The velocity v,, corresponding to the orbit with radius 1, is nh Ze 20719 2€quh en 0 a —_— Cn results for 7,, and v, can be substituted into Equation 15.6 to gi 2s of energy: —72 +, le Pe E,= = -Qu8K10- 8p n=1,2,3,... > 97? 9 Segn- he ne