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Unformatted text preview: Bohr Atom I. Bohr Atom A. Bohr's Postulates 1. An electron moves in a circular orbit around the nucleus due to the Coulomb force. ( 29 ( 29 r r Z ke- r r e e Z k F 2 2 2 =- = 2. Electrons can only exist in orbits where the magnitude of its angular momentum is a positive integer of Planck's constant divided by 2 . n r v m L = = 3. The electrons do not radiate electromagnetic energy while they travel in their circular orbits. Thus, each electron orbit is a state of constant energy. Violates Classical Electromagnetism 4. Electromagnetic radiation is emitted (absorbed) when an electron jumps from one energy state to a lower (higher) energy state. The energy of the emitted (absorbed) photon is equal to the energy lost by the electron. hc h E E f i = =- Bohr's postulate are strange and difficult to accept. However, it is more amazing that with just these four postulates Bohr was able to reproduce the Ritz-Rydberg equation and determine the size of the hydrogen atom! B. Size of the Atom We will now use classical physics and Bohr's postulates to find the size of an atom. We will assume that the nucleus is stationary. To correct for the finite mass of the nucleus, you simply replace the mass of the electron by the reduced mass of the electron-nucleus system....
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