What ion is this? even emission lines matches lyman series of hydrogen

In summary, the task at hand is to calculate the wavelength of the Lyman-α line for hydrogen atoms and positronium e+e- and explain the difference between the two. Additionally, it is necessary to identify which ion causes a pattern of emission lines in the light emitted from a star, with every second line coinciding with a line of the Lyman series of hydrogen. The observed transitions are to be identified assuming that the star is stationary with respect to the Earth. The equation for positronium is μ = m1m2/(m1+m2) where μ is the reduced mass and m is the mass of the central particle. It is also mentioned that the E1 is proportional to the mass, thus it is
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Homework Statement



Calculate the wavelength of the Lyman-α line (the transition from the 1st excited
state to the ground state) for (a) hydrogen atoms and (b) positronium e+e-, and explain
the origin of their difference.

In the light emitted from a star, a pattern of emission lines is found with every
second line coinciding with a line of the Lyman series of hydrogen. Identify which ion
causes this pattern and identify the observed transitions [assume the star is stationary
with respect to the Earth].

Homework Equations


The Attempt at a Solution


(a) the positronium is simply a particle of reduced mass μ = m1m2/(m1+m2) orbiting a central particle of m1+m2. μ = m/2.

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Is the ion a positronium? Since the E1 is proportional to m, and that positronium has half the mass of hydrogen..
 
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Related to What ion is this? even emission lines matches lyman series of hydrogen

1. What is an ion?

An ion is an atom or molecule that has gained or lost one or more electrons, resulting in a net positive or negative charge.

2. How do you determine the ion from even emission lines?

Even emission lines refer to the wavelengths of light that are emitted when an electron falls from a higher energy level to a lower energy level in an atom. By comparing these wavelengths to known patterns, such as the Lyman series of hydrogen, we can determine the identity of the ion present.

3. What is the Lyman series of hydrogen?

The Lyman series of hydrogen refers to a set of spectral lines in the ultraviolet region that are emitted when an electron in a hydrogen atom transitions from a higher energy level to the ground state.

4. How does the Lyman series of hydrogen help identify ions?

The Lyman series of hydrogen has a distinct pattern of emission lines that can be used to identify the presence of hydrogen or ions with similar emission patterns. If an ion's emission lines match the Lyman series of hydrogen, it is likely that the ion contains hydrogen atoms.

5. Can the Lyman series of hydrogen be used to identify all ions?

No, the Lyman series of hydrogen can only be used to identify ions that contain hydrogen atoms. Other elements have their own unique emission patterns, such as the Balmer series for hydrogen and the Paschen series for helium.

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