A triply ionized beryllium ion, Be 3+ (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 ground-level energy of Be3+? How does this compare to the ground-level energy of the hydrogen atom?
(b) What is the ionization energy of Be 3+? 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 = I transition is 122 nm (see Example 38.6). 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?