Rydberg constant: Difference between revisions

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imported>John R. Brews
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imported>John R. Brews
(numerical value)
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:<math>R_{\infty} = \frac{m_ee^4}{4\pi \hbar^3 c}\ \left( \frac{\mu_0 c^2}{4 \pi}\right)^2 \ . </math>
:<math>R_{\infty} = \frac{m_ee^4}{4\pi \hbar^3 c}\ \left( \frac{\mu_0 c^2}{4 \pi}\right)^2 \ . </math>
The best value (in 2005) was:<ref name= Grynberg>
{{cite book |pages=p. 297 |author=Gilbert Grynberg, Alain Aspect, Claude Fabre |url=http://books.google.com/books?id=l-l0L8YInA0C&pg=PA297 |title=Introduction to Quantum Optics: From the Semi-classical Approach to Quantized Light |isbn= 0521551129 |year=2010 |publisher=Cambridge University Press}}
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:R<sub>infin;</sub>/(''hc'') = 10 973 731.568 525 (8) ''m''<sup>−1</sup>,
where ''h'' = [[Planck's constant]] and ''c'' = [[speed of light]] in vacuum.


==Notes==
==Notes==
<references/>
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Revision as of 10:31, 13 March 2011

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The Rydberg constant, often denoted as R, originally defined empirically in terms of the spectrum of hydrogen, is given a theoretical value by the Bohr theory of the atom as:[1]

The best value (in 2005) was:[2]

Rinfin;/(hc) = 10 973 731.568 525 (8) m−1,

where h = Planck's constant and c = speed of light in vacuum.

Notes

  1. GW Series (1988). “Chapter 10: Hydrogen and the fundamental atomic constants”, The Spectrum of atomic hydrogen--advances: a collection of progress reports by experts. World Scientific, p. 485. ISBN 9971502615. 
  2. Gilbert Grynberg, Alain Aspect, Claude Fabre (2010). Introduction to Quantum Optics: From the Semi-classical Approach to Quantized Light. Cambridge University Press, p. 297. ISBN 0521551129.