Chem 202 - Webtext 2.6

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Created by:

RheaWong  on December 8, 2011

Subjects:

chem 202, chemistry

Description:

8/22/11 - 9/9/11
The Quantum World
Spectroscopy: photons

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Chem 202 - Webtext 2.6

Albert Einstein's equation relating mass and energy
E² = m²c⁴ + p²c²

The equation is so often turned into E=mc² because for a massed particle, the momentum is so small that the p²c² term is negligible.
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Albert Einstein's equation relating mass and energy E² = m²c⁴ + p²c²

The equation is so often turned into E=mc² because for a massed particle, the momentum is so small that the p²c² term is negligible.
Photons Light energy comes in small packets of well-defined energy called photons.
Photons vs. Electrons Photons are electrically neutral, have no mass, and have a spin of 1, not ½.
Photons and the Pauli exclusion principle Photons do not obey the Pauli exclusion principle; they are gregarious particles.
Energy for a free particle Energy = mass-energy + kinetic energy.

For a non-free particle, add the potential energy (i.e. the p²c² term).
Energy of a photon A photon is massless, so its energy is given by

E = pc
p = h / λ A Fourier principle that holds as a special case for freely moving particles such as photons or electrons not stuck in a box; hence, the wavelength of the particle replaces the length of the box.
Waves and quantum particles The Heisenberg priciple, with its Fourier-conjugate relationship between momentum and distance, imparts on quantum particles properties usually reserved for waves.
Planck's Law E = hν

The energy of a photon is linearly proportional to its frequency.

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