PPT Slide

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DeBroglie suggested suggested that particles of matter such as electrons have some properties of waves.

If electrons were wavelike and restricted to orbits of fixed radii, only certain possible frequencies and energies would be allowed.

From mass-energy equivalence (E = mc 2 ) and the equation for the energy of a photon (E = h __= hc/ _), de Broglie derived:

where m is the mass and u is the velocity.

An object’s wavelength is inversely proportional to its mass; heavy objects have wavelengths that are very much smaller than the object.

Fast moving electrons have wavelengths close to the size of an atom (~10 –10 m).

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