Obtain the
Rydberg's formula for hydrogen
spectrum and mention the spectral series of hydrogen.
Answers
Write Rydberg's formula for wavelength of the spectral lines of hydrogen atom spectrum. Mention to which series in the emission spectrum of hydrogen, H_alpha line belongs?
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The wavelength can be calculated by first calculating the wave number.
Wavelength= 1/wavenumber
The wavenumber is calculated by the relation
Wavenumber= 1.0967*10^7 [(1/n1²) -(1/n2²) ] Z²
Where n1 and n2 are the shell number from/to which/where the electron jumped, and Z is the atomic number of the atom/ion.
The visible H- alpha line lies in the Balmer series, typically seen as red light
Answer:
Rydberg suggested that all atomic spectra formed families with this pattern (he was unaware of Balmer's work). It turns out that there are families of spectra following Rydberg's pattern, notably in the alkali metals, sodium, potassium, etc., but not with the precision the hydrogen atom lines fit the Balmer formula, and low values of n2 predicted wavelengths that deviate considerably.
Rydberg's phenomenological equation is as follows:
v = 1/L
= RH(1/n1^2 - 1/n2^2)