Hypothetical atom + Rydberg equation

In summary, the conversation discusses energy levels of a hypothetical atom and poses three questions regarding the wavelength and energy of photons needed to excite or emit electrons between these levels. The homework equations provided are not entirely applicable, but there is a modified version that includes the atomic number. The student is asking for guidance on how to approach the problem.
  • #1
Quwes199
1
0

Homework Statement



Consider the following energy levels of a hypothetical atom.
E4 -1.0 10-19 J

E3 -5.0 10-19 J

E2 -10 10-19 J

E1 -15 10-19 J
(a) What is the wavelength of the photon needed to excite an electron from E1 to E4?
_______nm
(b) What is the energy (in joules) a photon must have in order to excite an electron from E2 to E3?
_______J
(c) When an electron drops from the E3 level to the E1 level, the atom is said to undergo emission. Calculate the wavelength of the photon emitted in this process.
_______nm

Homework Equations



1/lambda= R(1/n^2-1/n^2)

The Attempt at a Solution


I have no idea where to start other than that equation... I did the ones that involved hydrogen but I'm stuck on these on... can you point me in the right direction?
 
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  • #2
This is an almost good equation. Problem is, as written it holds only for a hydrogen atom, while this is an "hydrogen-like" ion. There is a slightly modified version of the formula that includes Z (atomic number) and holds in this case.
 

1. What is a hypothetical atom?

A hypothetical atom is a theoretical model of an atom that is used to understand the properties and behaviors of atoms. It is not an actual atom found in nature, but rather a simplified representation used in scientific studies.

2. What is the Rydberg equation?

The Rydberg equation is a mathematical formula that calculates the wavelengths of light emitted or absorbed by hydrogen atoms. It is based on the energy levels of electrons in the atom and is often used to study the spectral lines of atoms.

3. How is the Rydberg equation related to the hypothetical atom?

The Rydberg equation is used to study the properties of the hypothetical atom by calculating the energy levels and wavelengths of light emitted or absorbed by the atom. It is an important tool in understanding the behavior of atoms and their subatomic particles.

4. Can the Rydberg equation be applied to other atoms besides hydrogen?

Yes, the Rydberg equation can be applied to other atoms besides hydrogen. However, it may need to be modified for different atoms with more than one electron, as the energy levels and spectral lines may be more complex.

5. Why is the Rydberg equation important in scientific research?

The Rydberg equation is important in scientific research because it helps scientists understand the structure and properties of atoms. It also allows them to analyze the light emitted or absorbed by atoms, which can provide valuable information about their chemical composition and behavior.

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