Uncovering the Shortest Wavelength of Be3+ Lines

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The discussion focuses on calculating the shortest wavelength of the emission lines for triply ionized beryllium (Be3+) given the shortest wavelength for doubly ionized lithium (Li2+) is 1979.8 nm. The relevant formula provided is based on the Rydberg equation, which relates wavelength to the atomic number and energy levels. The equation is expressed as 1/λ = Rz²(1/n1² - 1/n2²), where R is the Rydberg constant, z is the atomic number, and n1 and n2 are the principal quantum numbers of the electron transitions. Participants are encouraged to apply this equation to find the shortest wavelength for Be3+. The conversation emphasizes the need for understanding atomic spectra and the application of quantum mechanics in calculating wavelengths.
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Homework Statement



Doubly ionized lithium Li2+ (Z = 3) and triply ionized beryllium Be3+ (Z = 4) each emit a line spectrum. For a certain series of lines in the lithium spectrum, the shortest wavelength is 1979.8 nm. For the same series of lines in the beryllium spectrum, what is the shortest wavelength?

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Hehe... give it a shot man. Tell you what, the equation you need is:

\frac{1}{\lambda}=Rz^2(\frac{1}{n_1^2}-\frac{1}{n_2^2})

where R is the rydberg constant, z is the atomic number, and n2 is the shell it jumps from to n1 (the final shell)
 
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