Understanding Li's Outermost Electron Ionization Energy

In summary, the question is asking for the effective charge seen by the outermost electron in a Lithium atom with 2 energy levels, given the ionization energy of the outermost electron. This can be solved by treating the Lithium atom as a hydronenoid ion with one electron orbiting a positively charged core of charge +Z_eff times e. By plugging this into the Balmer formula with n_1=2 and n_2=infinity, the answer can be obtained by dividing the ionization energy by the charge. It is recommended to use Heaviside-Lorentz units for this calculation.
  • #1
Physicsiscool
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Can someone please help me understand the following question?

The ionization energy of the outermost electron in Li is 5.390 eV. What is the effective charge seen by the outermost electron? (Li has 2 energy levels)
 
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  • #2
Physicsiscool said:
Can someone please help me understand the following question?

The ionization energy of the outermost electron in Li is 5.390 eV. What is the effective charge seen by the outermost electron? (Li has 2 energy levels)

Think as Litium atom as a hydronenoid ion with one lousy electron orbiting the positively charged core (i don't call it nucleus,since it includes the other 2 electrons of Litium) of charge +Z_eff times e.
Plug it in Balmer formula (the one which assumes infinite mass nucleus and that,for the reason of simplicity) for n_1=2 and n_2=infinity and you'll get your result by a simple division.I would advise using Heaviside-Lorentz units.
 
  • #3


The effective charge seen by the outermost electron in Li can be calculated using the formula Zeff = Z - S, where Z is the atomic number and S is the screening constant. In the case of Li, the atomic number is 3 (since it has 3 protons in its nucleus) and the screening constant can be calculated by taking into account the number of electrons in the inner energy level. Since Li has 2 energy levels, it means that there are 2 electrons in the inner energy level. Therefore, the screening constant would be 2 for Li.

Plugging in these values into the formula, we get Zeff = 3 - 2 = 1. This means that the effective charge seen by the outermost electron in Li is 1. This also explains why the ionization energy of the outermost electron in Li is relatively low (5.390 eV) compared to other elements, since it only needs to overcome the attractive force of one proton in the nucleus.

Overall, understanding the effective charge seen by the outermost electron in Li helps to explain its ionization energy and provides insight into the electronic structure of the element.
 

1. What is Li's outermost electron ionization energy?

Li's outermost electron ionization energy refers to the amount of energy required to remove the outermost electron from a Li atom in its ground state. This energy is measured in units of kilojoules per mole (kJ/mol) and is an important factor in determining the atom's reactivity and chemical properties.

2. How is Li's outermost electron ionization energy determined?

The outermost electron ionization energy of Li is determined experimentally through a process called ionization energy spectroscopy. In this process, a beam of electrons is directed at a sample of Li atoms and the energy required to remove an electron is measured. This process is repeated multiple times to get an average value for Li's outermost electron ionization energy.

3. Why is Li's outermost electron ionization energy important?

Li's outermost electron ionization energy is important because it affects the atom's reactivity and chemical properties. A lower ionization energy means that it is easier for Li to lose an electron and form positive ions, making it more reactive. On the other hand, a higher ionization energy indicates a more stable atom with less tendency to react.

4. How does Li's outermost electron ionization energy compare to other elements in the periodic table?

Li's outermost electron ionization energy is relatively low compared to other elements in the periodic table. This is because Li has a larger atomic radius and a lower nuclear charge, making it easier for the outermost electron to be removed. However, Li's ionization energy is higher than that of elements in the same group, such as Na and K, due to the increased shielding effect in larger atoms.

5. How does Li's outermost electron ionization energy change with increasing atomic number?

Li's outermost electron ionization energy generally increases with increasing atomic number. This is because as the atomic number increases, the number of protons in the nucleus also increases, resulting in a stronger attraction between the nucleus and the outermost electron. This makes it more difficult to remove the electron, thus increasing the ionization energy.

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