The Li2+ ion is hydrogenic and has a Lyman series at 740 747 cm−1, 877 924 cm−1, 925 933 cm−1, and beyond. Show that the energy levels are of the form −hcR᷉Li/n2 and find the value of R᷉Li for this ion. Go on to predict the wavenumbers of the two longest-wavelength transitions of the Balmer series of the ion and find its ionization energy.

Chemistry: The Molecular Science
5th Edition
ISBN:9781285199047
Author:John W. Moore, Conrad L. Stanitski
Publisher:John W. Moore, Conrad L. Stanitski
Chapter5: Electron Configurations And The Periodic Table
Section5.3: The Bohr Model Of The Hydrogen Atom
Problem 5.4PSP: (a) Calculate the frequency and the wavelength of the line for the n = 6 to n = 4 transition. (b) Is...
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The Li2+ ion is hydrogenic and has a Lyman series at 740 747 cm−1, 877 924 cm−1, 925 933 cm−1, and beyond. Show that the energy levels are of the form −hcR᷉Li/n2 and find the value of R᷉Li for this ion. Go on to predict the wavenumbers of the two longest-wavelength transitions of the Balmer series of the ion and find its ionization energy.

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