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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 mv = h/l l = h/mv 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 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 Doesn’t Fit Fits Fits Schrödinger: The Wave Equation One Look → psi, the wave function↓(locations) (many solutions) ĤY = EY ↑energy of electron mathematical operator ↑ Heisenberg: The Uncertainty Principle (The observer affects the observed) Future location of electron Depends on Dx • Dmv ≥ h/4p position velocity can’t know both well Born: Electrons are probability waves (“Waves of Chance”) 2 Y → 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) Parameters… to decribe electron electron energy Quantum Numbers: n = principle quantum number (1, 2, 3…∞) l = secondary quantum number (0, 1, 2, 3…n-1) ml= magnetic quantum number (-l…0…+l)
