# Wave Particle Duality*

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Wave Particle Duality**Information for this presentation was taken from ASU PHY 540 and Chemical Bonding Clarified Through Quantum Mechanics by George C. Pimemtel and Richard D. SpratleyEnergy transfer is accompanied by a mass transfer and every mass, whether moving or not, represents a store of energyE mThe proportionality constant between these units is c2E = mc2Einstein proposed this in 1905 as a model to explain how energy and mass are simply different materializations of the same thing.E=mc2Energy has massMass is energySince energy and mass are the same thing, the conservation laws of the two are now bonded Physics and chemistry got married!E=mc2Energy has massMass is energyLight from a hot source is continuousandBlackbody radiation shows a continuous spectrumRadiation intensity from a given source changes with temperatureE=mc2Energy has massMass is energyLight from a hot source is continuousMatter appears to be continuousandandSmaller and smaller pieces of a type of stuff look the same. E=mc2Energy has massMass is energyLight from a hot source is continuousMatter appears to be continuousandandAtomic theory requires matter to be particulatebutWhile matter looks continuous, its properties are explained with a particulate modelE=mc2Energy has massMass is energyLight from a hot source is continuousMatter appears to be continuousandAtomic theory requires matter to be particulateandbutIs light also particulate?soNow, we must confront the essential questionNow for a little derivation =DE=mc2The general equation for the light-energy relationshipNow for a little derivation =DE=mc2E=hFor light, energy is proportional to Plancks constant (h) times frequency ()Now for a little derivation =DE=mc2E=hh=mc2Substitute h for E Now for a little derivation =DE=mc2E=hh=mc2m= h/c2Rearrange for m So, now our thought progression looks like this:E=mc2Energy has massMass is energyLight from a hot source is continuousMatter appears to be continuousandAtomic theory requires matter to be particulateandbutandBut what about momentum? This calls for another derivation ^.^Momentum = mass (velocity)c is the speed of lightSo lets add that to the thought progression E=mc2Energy has massMass is energyLight from a hot source is continuousMatter appears to be continuousandAtomic theory requires matter to be particulateandbutandNow, lets play pool XPand parallel that to the scattering of lighteeIncident light ray has a certain wavelength and a certain frequency reflected light ray has a different wavelength and a different frequencyA.H. Compton proved that when electrons scatter x-rays, there is a momentum change.E=mc2Energy has massMass is energyLight from a hot source is continuousMatter appears to be continuousandAtomic theory requires matter to be particulateandbutandandE=mc2Energy has massMass is energyLight from a hot source is continuousMatter appears to be continuousandAtomic theory requires matter to be particulateandbutandandsoDoes matter have wave properties?

Lets make sure we define the matter-wave property relationship :-]Momentum is connected to wavelength for lightLets assume the same for massAnd rearrange for wavelengthThe wave behavior of light can be proven using diffraction grating or crystalsE=mc2Energy has massMass is energyLight from a hot source is continuousMatter appears to be continuousandAtomic theory requires matter to be particulateandbutandandandE=mc2Energy has massMass is energyLight from a hot source is continuousMatter appears to be continuousandAtomic theory requires matter to be particulateandbutandandandEnter Quantum Mechanics!!!