Energy of ions in different orbitals

In summary, to calculate the wavelength needed to excite a Li2+ ion from the 4s to the 5d orbital, you can use the Rydberg formula to find the energy and then plug it into the equation lambda=hc/E. The appropriate units should be used for each variable. The answer should be reported with 3 significant figures.
  • #1
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Homework Statement


Calculate the wavelength of light needed to excite a Li2+ ion from the 4s to the 5d orbital. Report your answer with 3 significant figures.



Homework Equations


E=hc/lambda
lambda=hc/E



The Attempt at a Solution


I think that the above equations are supposed to be used to figure out the wavelength. However, I need to figure out the energy (E) first. I don't know how to do this.
Can this be calculated just thinking of the orbitals as excited states??
 
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  • #2


Thank you for your post. You are correct in that the equations you mentioned can be used to calculate the wavelength needed to excite a Li2+ ion from the 4s to the 5d orbital. To calculate the energy (E), you can use the Rydberg formula:

E = -Rhc(Z^2/n^2)

Where R is the Rydberg constant (1.097x10^-2 nm^-1), h is Planck's constant (6.626x10^-34 J*s), c is the speed of light (2.998x10^8 m/s), Z is the atomic number (3 for Li), and n is the principal quantum number (4 for the 4s orbital and 5 for the 5d orbital).

Once you have calculated the energy, you can plug it into the equation lambda=hc/E to find the wavelength. Remember to use the appropriate units for each variable.

I hope this helps. Let me know if you have any further questions.
 

What is the difference between energy levels and orbitals?

Energy levels refer to the discrete energy states that an electron can occupy in an atom, while orbitals refer to the spatial distribution of the electron within an atom.

How does the energy of ions in different orbitals affect their reactivity?

The energy of ions in different orbitals can greatly influence their reactivity. For example, ions with higher energy levels tend to be more reactive as they have a greater ability to gain or lose electrons in order to achieve a stable electron configuration.

Can different elements have the same energy level for their ions?

Yes, different elements can have the same energy level for their ions. This is because the energy level of an ion is determined by the number of electrons it has, and different elements can have the same number of electrons in their outermost energy level.

What are the different types of orbitals and how do they differ in energy?

The different types of orbitals are s, p, d, and f orbitals. They differ in energy due to their different shapes and orientations within the atom. The s orbital, which is spherical in shape, has the lowest energy, followed by the p orbital, which is dumbbell-shaped. The d and f orbitals have higher energies due to their more complex shapes.

How does the energy of ions in different orbitals impact their spectral lines?

The energy of ions in different orbitals can affect their spectral lines, which are the specific wavelengths of light emitted or absorbed by an element. The energy difference between different orbitals determines the energy of the photons emitted or absorbed, which in turn determines the spectral lines observed. This allows scientists to use spectral lines to identify elements and their energy levels.

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