The ionization of the hydrogen atom can be calculated from Bohr's equation for the electron energy. E = −( N A Rhc )( Z 2 / n 2 ) where N A Rhc =1312 kJ/mol and Z is the atomic number . Let us use this approach to calculate a possible ionization energy for helium. First, assume the electrons of the He experience the full 2+ nuclear charge. This gives us the upper limit for the ionization energy. Next, assume one electron of He completely screens the nuclear charge from the other electrons, so Z = 1. This gives us a lower limit to the ionization energy*. Compare these calculated values for the upper and lower limits to the experimental value of 2372.3 kJ/mol. What does this tell us about the ability of one electron to screen the nuclear charge?
The ionization of the hydrogen atom can be calculated from Bohr's equation for the electron energy. E = −( N A Rhc )( Z 2 / n 2 ) where N A Rhc =1312 kJ/mol and Z is the atomic number . Let us use this approach to calculate a possible ionization energy for helium. First, assume the electrons of the He experience the full 2+ nuclear charge. This gives us the upper limit for the ionization energy. Next, assume one electron of He completely screens the nuclear charge from the other electrons, so Z = 1. This gives us a lower limit to the ionization energy*. Compare these calculated values for the upper and lower limits to the experimental value of 2372.3 kJ/mol. What does this tell us about the ability of one electron to screen the nuclear charge?
Solution Summary: The author explains that the upper and lower ionization energies should be calculated given the Bohr's equations. Nuclear charge is the net positive charge experienced by an electron in a multi-electron atom
The ionization of the hydrogen atom can be calculated from Bohr's equation for the electron energy.
E = −(NARhc)(Z2/n2)
where NARhc =1312 kJ/mol and Z is the atomic number. Let us use this approach to calculate a possible ionization energy for helium. First, assume the electrons of the He experience the full 2+ nuclear charge. This gives us the upper limit for the ionization energy. Next, assume one electron of He completely screens the nuclear charge from the other electrons, so Z = 1. This gives us a lower limit to the ionization energy*. Compare these calculated values for the upper and lower limits to the experimental value of 2372.3 kJ/mol. What does this tell us about the ability of one electron to screen the nuclear charge?
Definition Definition Change in energy of a neutral gaseous atom when an electron is added to the atom to form a negative ion.
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