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5 Jul 2009 08:54:19 IST

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what is rhydberg equation?

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what is rhydberg equation?

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Pramod Gupta

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5 Jul 2009 09:18:35 IST

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Rydberg Equation

Johan Rydberg(1854-1919)
As a Swedish mathematian, Rydberg analyzed many atomic spectra in an attempt to understand the periodic system of the elements. He eventually developed what has become known as the Rydberg Equation. Although nominated, the Nobel prize was never awarded to Rydberg.

When white light passes through a prism, it is separated into components (visible 400-700 nm).

Heating hydrogen and passing the light through a prism gives the following spectrum:

Consider the excitation of hydrogen's electron from the ground state (n=1) to the 5^th shell (n=5).
The blue line results when the electron returns directly from n=5 to n=2.

Rydberg developed the following equation to fit hydrogen's atomic spectrum:

R = Rydberg constant = 1.0974x10⁷ m^-1
n = shell returning from
m = shell returning to

When m = 1 Lyman Series
m = 2 Balmer Series
m = 3 Paschen Series

Rydberg Equation written as:
1/l = [1.0974x10⁷m^-1][1/m² - 1/n²]
1m/[l( 1.0974x10⁷)] = [1/m² - 1/n²]
1x10^-9nm/[(l)( 1.0974x10⁷) = [1/m² - 1/n²]
91.1nm/l = [1/m² - 1/n²]
Here's a handy table for n versus 1/n²

n	1	2	3	4	5	6	7	8	9	10
1/n²	1	0.25	0.111	0.0625	0.0400	0.0278	0.0204	0.0156	0.0123	0.0100

Pramod Gupta

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5 Jul 2009 09:19:21 IST

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arbit arbit

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5 Jul 2009 09:19:49 IST

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wave number = R*Z[ 1/n1-1/n2]

Bipin Dubey

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5 Jul 2009 09:20:34 IST

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The Rydberg equation is an analytical equation for determining the wavelength of a photon emitted or absorbed when an electron changes energy levels in a hydrogen atom.

$\frac{1}{\lambda}=R\left( \frac{1}{n_{1}^{2}}-\frac{1}{n_{2}^{2}}\right)$

where R = 1.097 x 10⁷ m^-1 and n₁ , n₂ are different energy levels.

vnkt. swaroop

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5 Jul 2009 12:11:38 IST

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The correct equation is

tell me whether i am correct or not?

reply is must.

Anirudh Kumar

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5 Jul 2009 14:43:34 IST

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Z² is not necessary fopr hydrogen but all other elements it has to used .

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