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We know that accelerating charged particles emit electromagnetic radiation. We also know that electrons around nucleus have an angular momentum which means that electrons are revolving around the nucleus, therefore, they are subjected to acceleration due to their orbital motion. However, atoms do not constantly emit light. Isn’t this a contradiction?

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    $\begingroup$ Possible duplicate of Why electrons can't radiate in their atoms' orbits? $\endgroup$ – lemon Jul 5 '18 at 8:50
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    $\begingroup$ This is indeed a contradiction, which motivated the development of quantum mechanics. A better atom model is the Bohr model, where electron orbits must have specific energies. $\endgroup$ – Wouter Jul 5 '18 at 8:52
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    $\begingroup$ Possible duplicate of Why don't electrons crash into the nuclei they "orbit"? $\endgroup$ – Emilio Pisanty Jul 5 '18 at 8:57
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    $\begingroup$ You need to include the quantum mechanics tag, for more than one reason :) $\endgroup$ – user198207 Jul 5 '18 at 11:13
  • $\begingroup$ Fermi's Golden Rule: the density of final states for emission from the ground state is zero. $\endgroup$ – JEB Jul 5 '18 at 17:37