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Orbitals

103. Positron...

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103. Positronium consists of an electron and a positron(a particle which has the same mass as anelectron, but opposite charge) orbiting around theircommon centre of mass. Calculate the value ofRydberg's constant for this system (RH is Rydbergconstant for Hydrogen) (1) RH/ 2 (3) 2 R (2) RH /4(4) RH

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Q. Consider a positronium atom consisting of a positron and an electron each having mass

m

(equal to mass of electron) in the orbit around its centre of mass. This structure lasts for 10

^{- 6} s

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A formula analogous to the Rydberg formula applies to the series of spectral lines which arise from transitions from higher energy level to the lower energy level of hydrogen atom.
A muonic hydrogen atom is like a hydrogen atom in which the electron is replaced by a heavier particle, the 'muon'. The mass of the muon is about

207

times the mass of an electron, while the charge remains same as that of the electron. Rydberg formula for hydrogen atom is:

\frac{1}{λ} = R_{H} [\frac{1}{n_{1}^{2}} - \frac{1}{n_{2}^{2}}] (R_{H} = 109678 {c m}^{- 1})

Distance between first and third Bohr orbits of muonic hydrogen atom will be

A formula analogous to the Rydberg formula applies to the series of spectral lines which arise from transitions from higher energy level to the lower energy level of hydrogen atom.
A muonic hydrogen atom is like a hydrogen atom in which the electron is replaced by a heavier particle, the 'muon'. The mass of the muon is about

207

times the mass of an electron, while the charge remains same as that of the electron. Rydberg formula for hydrogen atom is:

\frac{1}{λ} = R_{H} [\frac{1}{n_{1}^{2}} - \frac{1}{n_{2}^{2}}] (R_{H} = 109678 {c m}^{- 1})

Angular momentum of 'muon' in muonic hydrogen atom may be given as:

Q. A positronium consists of an electron and a positron revolving about their common centre of mass. Calculate the separation between the electron and positron in their first excited state.

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R_{H}

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