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Quantum Model of the Atom
Bohr de Broglie Heisenberg Schrödinger
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Bohr Model of the Hydrogen Atom –
Neils Bohr (1885 –1962) Bohr Model of the Hydrogen Atom – Worked with Einstein & Plank, deciding photons were more like particles that could be measured.
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Bohr model of the atom In the Bohr model, electrons can only exist at specific energy levels (orbit). Energy
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Photo Absorption and Emission
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Specifically, Ephoton = E2 - E1 = h
Line Spectra Line spectrum of Hydrogen is produced when an electron drops from a higher-energy orbit to a lower energy orbit. Specifically, Ephoton = E2 - E1 = h
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Bohr Checked it with Math.
Used mass and charge of the electron together with Plank’s constant and calculated where the spectral lines should be and they were! Problem -- only worked for Hydrogen!
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Problems! “Classical” theory says no.
Hydrogen should be excited by whatever amount of energy. Should be continuous spectrum What’s with the lines????
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Why wouldn’t there be an infinite number of energy levels for electrons?
Unable to account for these questions but was the fist to observe the Photoelectric effect and Hydrogen spectrum.
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Louis de Broglie ( ) Electrons should be considered waves confined to the space around an atomic nucleus
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The Quantum Atom (cont.)
Since electrons are waves, they can amplify and cancel out when in and out of sync. Therefore only certain energies of electrons are possible.
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Werner Heisenberg Heisenberg Uncertainty Principle – It is impossible to determine the position and velocity of an electron simultaneously.
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Heisenberg uncertainty principle
In order to observe an electron, one would need to hit it with photons having a very short wavelength. Short wavelength photons would have a high frequency and a great deal of energy.
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Heisenberg uncertainty principle
If one were to hit an electron, it would cause the motion and the speed of the electron to change. Lower energy photons would have a smaller effect but would not give precise information.
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Erwin Schrödinger ( ) Schrödinger developed the calculus to describe the wave behavior and energies of electrons in atoms.
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Schrödinger’s Equation
Yeah, but it works!
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Bohr vs. Schrödinger Orbits vs. Orbitals
Bohr -- definite distinct orbits populated by electron particles.
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Bohr vs. Schrödinger Orbits vs. Orbitals
Schrödinger -- electron are waves (de Broglie) with a certain probability (mathematical model) of being found in three dimensional regions around the nucleus - orbitals
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Orbitals Distinct area within the atom, where there is a high probability of finding an electron. The denser the orbital, the higher the probability.
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