Classical mechanicsand byquantummechanics

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Unformatted text preview: MATTER Einstein: postulated that light has a dual nature: Particle Properties a particle o f light, called a photon has: Energy = E = h u and Wave Properties characterized by: frequency and wavelength c = l u Momentum = mass x speed = m c Louis de Broglie reasoned: ­ If Light (tradit ionally considered a Wave) exhibits Particle Properties then ­ Matter (tradit ionally considered made of Particles) exhibits Wave Properties · This implies, that for a particle o f matter: ENERGY of Particle of Matter = ENERGY of Wave of Matter Eparticle of matter = Ewave of matter 2 Eparticle = mc Ewave = h n = (Einstein) 15 h c λ (Planck) Chemistry 101 Chapter 7 · It fo llows: 2 mc = hc λ mc = h λ For Light Particles λ = For any kind of particles h m c λ = speed of light h m v speed of particles NOTE: 1. Wave properties of co mmo n forms of matter are not observed because their relat ively large mass results in a very short wavelengths, which cannot be detected. (in the range of 10-34 m) 2. Electrons, with a very small mass produce longer wavelengths which can be detected (in the range of 10-9 ) CONCLUSION: THE ELECTRON HAS DUAL NATURE: · The electron has both particle and wave properties 16 Chemistry 101 Chapter 7 WAVE FUNCTIONS Erwin Schrodinger (1926) · Based on de Broglie’s work devised a theory that could be used to find the wave properties of electrons · Established the basis o f quantum mechanics (the branch o f phys ics that mathemat ically describes the wave properties of submic...
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