If light can have a dual nature why not matter???

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Presentation transcript:

If light can have a dual nature why not matter??? Electrons don’t move at the speed of light (although in certain cases they can be close), so rearrange the equation for the mass of the photon to solve for the momentum of the electrons using “v” as the velocity of the electron l = h/mv m = h/cl becomes m = h/vl mv = momentum DeBroglie Eq.

What would the wavelength of a baseball be (142 grams) thrown at a speed of 100 miles per hour (44.4 m/s) 1.1 x 10-34 m Not a significant size compared to the space it exists in! What would the wavelength of an electron be (9.11 x 10-28 grams) whizzing about it’s orbit in the Bohr model traveling at a speed of 2.0 million meters per second? 3.6 x 10-10 m A significant size compared to the space it exists in!

Light waves passing through a single slit

Light waves passing through a double slit Interference pattern Light waves passing through a double slit

Electrons Interference pattern

Randomly closing a slit…forcing the electrons to go through one slit or the other No interference pattern

You get an interference pattern when you allow it to choose which slit to through…you don’t when you make it go through one slit or the other!!! Implication: The electron goes through both slits at the same time! Very much unlike a particle…acting as a wave. (smeared out…less discrete)

Only certain wavelengths work! Only certain frequencies work! Fits Fits Doesn’t Fit Only certain wavelengths work! Only certain frequencies work! Only certain energies work! Therefore; energy levels exist!

ĤY = EY ↑energy of electron Dx • Dmv ≥ h/4p Schrödinger: The Wave Equation psi, the wave function↓ (locations) (many solutions) ĤY = EY One Look → mathematical operator ↑ ↑energy of electron Heisenberg: The Uncertainty Principle (The observer affects the observed) can’t know both well Future location of electron position Depends on velocity Dx • Dmv ≥ h/4p Born: Electrons are probability waves (“Waves of Chance”)

Y2 → describes the probability of finding the electrons in the locations described by Y High probability region in space where the electron is likely to be found…. orbitals (pictured as boundary surface diagrams)