Atomic Energy Levels Homework: De Broglie Wavelength & Ionisation of Fe

In summary, the De Broglie Wavelength for electrons with an energy of 50eV is 1.74x10^-10m, but this is not the solution. The energy required to ionize Fe in the ground state can be calculated using the equation \lambda = \frac{h}{m \sqrt{2Em}}, where \lambda is the wavelength, h is Planck's constant, m is the mass of the electron, and E is the energy of the electron. The answer is positive, as it does not make sense to add a negative amount of energy.
  • #1
physicsNYC
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Homework Statement


Couple of questions

State the De Broglie Wavelength for electrons with an energy of 50eV

and

the following is a picture is a diagram of the energy levels in Fe: http://www.freeimagehosting.net/image.php?eeddf8b465.jpg
What is the energy required to ionise Fe in in the ground state

Homework Equations


*lambda* = h/p = h/mv = h/sqr(2Em)

The Attempt at a Solution


for the first question i got 1.74x10^-10m but that is not the solution

and for the next question

is it -11.6 or +11.6
 
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  • #2
you mean

[tex]\lambda = \frac{h}{m \sqrt{2Em}}[/tex]

did you remember to multiply by the mass again in the denominator?

We'd need to see the diagram to help you with the next part of the question.
 
  • #3
If it's "energy required", it's positive; in this case it makes no sense to talk about adding a negative amount of energy.
 

1. What are atomic energy levels?

Atomic energy levels refer to the specific energy states that electrons in an atom can occupy. These energy levels are quantized, meaning they can only have certain values and cannot exist in between levels.

2. What is the De Broglie wavelength?

The De Broglie wavelength is a concept that describes the wave-like behavior of particles, such as electrons. It is the wavelength associated with a particle's momentum and is given by the equation λ = h/mv, where h is Planck's constant, m is the mass of the particle, and v is its velocity.

3. How does the De Broglie wavelength relate to atomic energy levels?

The De Broglie wavelength is inversely proportional to the momentum of a particle. As the energy levels of an atom increase, the momentum of its electrons also increases, resulting in a shorter De Broglie wavelength. This relationship is important in understanding the behavior of electrons in an atom.

4. What is ionization?

Ionization is the process of removing one or more electrons from an atom or molecule, resulting in a positively charged ion. This can occur through various methods, such as high temperatures, collisions with other particles, or exposure to electromagnetic radiation.

5. How does the ionization of iron (Fe) occur?

The ionization of iron can occur through various methods, including heating, exposure to intense light or radiation, or collisions with other particles. This results in the removal of one or more electrons from the iron atom, creating a positively charged ion. The specific method and energy required for ionization of iron will depend on the specific energy levels and electron configuration of the iron atom.

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