Why is the first peak in the Franck-Hertz experiment longer than the others?

In summary, the spacing between successive valleys in the Franck-Hertz experiment gives an excitation energy of around 4.9eV. However, the first peak appears to be longer than any other spacings between two successive peaks. This can be explained by the contact potential, which is the difference between the work functions of the cathode and anode. This results in a higher voltage to the first peak compared to the average peak-to-peak voltage. This can be calculated by subtracting the average peak-to-peak voltage from the first peak voltage.
  • #1
Terrycho
20
2
Homework Statement
In Franck-Hertz Experiment, why is the spacing to the first peak different than the spacing between successive peaks?
Relevant Equations
λ=hc/E
In the experiment, I know that the spacing between successive valleys gives the excitation energy to be somewhere around 4.9eV. However, when you look at the plot, you can see that the spacing from zero to the first peak is much longer than any other spacings between two successive peaks. I was just wondering why that one is so much longer.
 
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  • #3
It does look like the first peak is at 4.9V. However, when I did the experiment, the first peak was not 4.9V. It was larger than that. It seems like this plot also has the first peak is larger than 4.9V.
https://foothill.edu/psme/marasco/4dlabs/4dlab8.html
 
  • #4
DrClaude said:
I don't understand what you mean. The first peak is at 4.9 V and the peaks are separated by 4.9 V.
https://en.wikipedia.org/wiki/Franck–Hertz_experiment#/media/File:Franck-Hertz_en.svg
I found this explanation,

The contact potential is the difference between the work functions of the cathode and anote, since they are oppositely directed in the electric field, that is, the electric field has to work against the cathode potential but is helped in the case of the anode. Thus we should expect that the voltage to the first peak will be greater than the average peak to peak voltage, due to the con- tact potential. The contact potential can be calculated as the average peak to peak voltage sub- tracted from the first peak voltage.

But does not quite make sense to me.

http://instructor.physics.lsa.umich.edu/adv-labs/Franck_Hertz/franck-hertz.pdf
 

1. What is the Franck-Hertz experiment?

The Franck-Hertz experiment is an experiment in atomic physics that was first conducted in 1914 by James Franck and Gustav Hertz. It is used to demonstrate the quantization of energy levels in atoms and was an important validation of the Bohr model of the atom.

2. Why is the Franck-Hertz experiment important?

The Franck-Hertz experiment was important because it provided experimental evidence for the quantization of energy levels in atoms, which was a key concept in the development of quantum mechanics. It also helped to validate the Bohr model of the atom, which was an important step in understanding the structure of atoms.

3. What is the setup of the Franck-Hertz experiment?

The Franck-Hertz experiment involves a vacuum tube filled with a low-pressure gas, an electron source, and a collector electrode. The gas is ionized by the electrons from the source, and the resulting ions and electrons are accelerated towards the collector electrode. The energy of the electrons is controlled by a variable voltage, and the current between the source and the collector is measured.

4. Why is the first peak in the Franck-Hertz experiment longer than the others?

The first peak in the Franck-Hertz experiment is longer than the others because it corresponds to the minimum energy required to excite the gas atoms to a higher energy level. The subsequent peaks correspond to higher energy levels, which require more energy to excite. This results in a shorter peak as fewer electrons have enough energy to reach these levels.

5. How does the Franck-Hertz experiment demonstrate the quantization of energy levels?

The Franck-Hertz experiment demonstrates the quantization of energy levels by showing that the electrons can only be excited to discrete energy levels in the gas atoms. This is seen in the distinct peaks in the current-voltage curve, which correspond to the minimum energy required to excite the atoms to higher energy levels. This supports the idea that energy is quantized and can only exist in discrete amounts, as predicted by the Bohr model of the atom.

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