Energy of shielded Electron in K-shell

In summary, the conversation focuses on determining the energy and effective nuclear charge of K-Shell electrons in rubidium. The L shell absorption edge of rubidium is at 1.81 kev and the K (n = 2 -> 1) emission line is at 13.41 kev. The student is confused on how to use this information to find the energy of the rubidium in the K-shell and the effective nuclear charge. They mention the Alkali so E = R_h(Z-S)^2 / n^2 equation, but are unsure how to apply it.
  • #1
Max Eilerson
121
1

Homework Statement



The L shell absorption edge of rubidium is at 1.81kev and the K (n = 2 -> 1 ) emission line is at 13.41 kev. Calculate the energy of the K-Shell electron in rubidium, and hence estimate the effective nuclear charge for K-Shell electrons.

Homework Equations



Alkali so [tex]E = R_h(Z-S)^2 / n^2 [/tex]
where S = shielding

The Attempt at a Solution



K-Shell is in the ground state, n =1. I'm confused at how to use the absorption edge info to find the energy of the rubidium in the K-shell.
 
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  • #2
For the effective nuclear charge, I'm not sure what equation to use. Any help would be greatly appreciated!
 

What is the energy of a shielded electron in the K-shell?

The energy of a shielded electron in the K-shell is typically given by the formula -13.6 eV/n^2, where n is the principal quantum number. This energy represents the amount of energy needed for the electron to escape the attraction of the nucleus and move to a higher energy level.

How does the shielding effect impact the energy of an electron in the K-shell?

The shielding effect, also known as screening, occurs when inner electrons partially block the attraction of the nucleus on outer electrons. This results in a decrease in the effective nuclear charge experienced by the outer electron, leading to a lower energy level for the electron in the K-shell.

What factors influence the energy of a shielded electron in the K-shell?

The energy of a shielded electron in the K-shell is primarily influenced by the nuclear charge, the number of inner electrons, and the distance between the electron and the nucleus. Other factors such as orbital shape and electron spin can also have an impact on the energy level.

How does the energy of a shielded electron in the K-shell relate to atomic stability?

The energy of a shielded electron in the K-shell is a crucial factor in determining the stability of an atom. In general, a lower energy level for the electron in the K-shell indicates a more stable atom. This is because the electron is closer to the nucleus, making it more tightly bound and less likely to be lost or gained during chemical reactions.

How is the energy of a shielded electron in the K-shell measured?

The energy of a shielded electron in the K-shell can be measured using various techniques, such as X-ray spectroscopy or electron energy loss spectroscopy. These methods involve bombarding the atom with high-energy particles, which causes the electron to transition to a higher energy level. The energy of the emitted radiation can then be measured and used to calculate the energy of the shielded electron in the K-shell.

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