A triply ionized beryllium ion, Be3+ (a beryllium atom with three electrons removed), behaves very much like a hydrogen atom except that the nuclear charge is four times as great. (a) What is the 3+ ground-level energy of Be ? How does this compare to the ground- level energy of the hydrogen atom? (b) What is the ionization energy of Be3+? How does this compare to the ionization energy of the hydrogen atom? (c) For the hydrogen atom, the wavelength of the photon emitted in the n = 2 to n = 1 transition is 122 nm (see Example 39.6). What is the wavelength of the photon emitted when a Be3+ ion undergoes this transition? (d) For a given value of n, how does the radius of an orbit in Be3+ compare to that for hydrogen?
A triply ionized beryllium ion, Be3+ (a beryllium atom with three electrons removed), behaves very much like a hydrogen atom except that the nuclear charge is four times as great. (a) What is the 3+ ground-level energy of Be ? How does this compare to the ground- level energy of the hydrogen atom? (b) What is the ionization energy of Be3+? How does this compare to the ionization energy of the hydrogen atom? (c) For the hydrogen atom, the wavelength of the photon emitted in the n = 2 to n = 1 transition is 122 nm (see Example 39.6). What is the wavelength of the photon emitted when a Be3+ ion undergoes this transition? (d) For a given value of n, how does the radius of an orbit in Be3+ compare to that for hydrogen?
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