Rydberg constant for

Table 6.3. Rydberg constant for hydrogen-like atoms...

Muonium, atom number zero , is composed of a positron and an electron. Calculate foe Rydberg constant for this species. 

Brackett series spect A series of lines in the infrared spectrum of atomic hydrogen whose wave numbers are given by Rh (1/16)I - l(l/ ), where Rh is the Rydberg constant for hydrogen and n is any integer greater than 4. brak at, sir ez j... 

Lyman limit spect The lower limit of wavelengths of spectral lines in the Lyman series (912 angstrom units), or the corresponding upper limit in frequency, energy of quanta, or wave number (equal to the Rydberg constant for hydrogen). iT-mon, lim-3t ... 

This is just twice the ionization potential of the hydrogen atom if the re duced mass of the electron is replaced by the rest mass. One atomic unit of energy is equivalent to twice the Rydberg constant for infinite mass. 

In this equation jBh is called the Rydberg constant for hydrogen the value for the Rydberg constant for hydrogen is 109,677.76 cm"1. The letter h is Planck s constant, and c the velocity of light. The letter n is the toted quantum number it may have integral values 1,2, 3, 4, ... 

Bohr showed that the known values of the mass of the electron, m0, the electronic charge, e, and Planck s constant, h, led to a value of 2ir2moe4/cAl equal to the experimental value for the Rydberg constant for hydrogen, and his theory was immediately accepted by other physicists. 

Show that they fit eqn 4.11 with nt = 1, and n2 = 2, 3, and 4, respectively. Derive an accurate value for the Rydberg constant for hydrogen, and use it to calculate the ionization energy of hydrogen. Give your answer in electron volts and in kilojoules per mole. 

The Rydberg constant for deuterium (2H or 2D) is 109,707 cm-1. Calculate (a) the shortest wavelength in the absorption spectrum of deuterium, (b) the ionization energy of deuterium, and (c) the radii of the first three Bohr shells (orbits). 

The Rydberg constant for Li24" is 109,729 cm-1. (a) What is the long-wavelength limit in the absorption spectrum... 

When we treated the hydrogen atom earlier, it was assumed that the nuclear mass was infinite. In that case, we simply set /x = j, the mass of the electron. The Rydberg constant for infinite nuclear mass was calculated to be... 

The constant, 109,680 cm-1 in Eq. 3.2, is often given the symbol Rh and is known as the Rydberg constant for hydrogen. This is what Bohr had to work with in his theoretical development, but as you can see, it is an extremely significant empirical result. Now, we go back to the orbital model with which we began this discussion. What do we know from classical physics... 

The He ion contains only one electron and is therefore a hydrogenlike ion. Calculate the wavelengths, in increasing order, of the first four transitions in the Balmer series of the He" ion. Compare these wavelengths with the same transitions in a H atom. Comment on the differences. (The Rydberg constant for He-" is 8.72 X 10 J.)... 

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