Question in Franck and Hertz Experiment

In summary, the book discusses the use of Mercury vapours in the Franck and Hertz experiment to prove the existence of discrete energy levels in atoms. It mentions that atoms have multiple excitation potentials and an ionisation potential, with the second excitation potential for Mercury being 6.67 volts and the ionisation potential being 10.4 volts. The book also addresses the question of whether the ionisation potential is the same as the amount of energy required to remove the most loosely bound electron from an atom's outermost shell, and explains that it can be measured using a spectroscopic apparatus. The graph for current vs accelerating potential will change significantly when the ionisation potential is reached, as the gas becomes highly conductive and the current
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Wrichik Basu
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My book gives the following graph for current vs accelerating potential for Franck and Hertz experiment (used to prove existence of discrete energy levels in atoms) using Mercury vapours in the tube:

20170621_225100.jpg


The book then writes:

"Actually, atoms have more than one excitation potential and also an ionisation potential. For example, the second excitation potential if Mercury is 6.67 volt and the ionisation potential is 10.4 volt. Hence, the second and third peaks in the graph become complicated."

Now, is this Ionisation Potential the same as "amount of energy required to remove the most loosely bound electron from the outermost shell of an isolated, neutral, gaseous atom to form a unicharged ion"? If so, then how is that measured? If not, then what is the proper definition?

Secondly, how will the graph change?
 
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  • #2
Wrichik Basu said:
My book gives the following graph for current vs accelerating potential for Franck and Hertz experiment (used to prove existence of discrete energy levels in atoms) using Mercury vapours in the tube:

View attachment 205867

The book then writes:

"Actually, atoms have more than one excitation potential and also an ionisation potential. For example, the second excitation potential if Mercury is 6.67 volt and the ionisation potential is 10.4 volt. Hence, the second and third peaks in the graph become complicated."

Now, is this Ionisation Potential the same as "amount of energy required to remove the most loosely bound electron from the outermost shell of an isolated, neutral, gaseous atom to form a unicharged ion"? If so, then how is that measured? If not, then what is the proper definition?

Secondly, how will the graph change?
Your second question is more easily answered=the gas will become very conductive and the current will get very large as the ionization voltage is reached, corresponding to free electrons being able to acquire enough energy from the voltage to create a chain reaction that generates more free electrons. (Basically, you can sustain an arc in the lamp at that voltage.). ## \\ ## Additional question you ask is how is it measured? The Franck Hertz type apparatus will give you an approximate answer for that voltage, but a spectroscopic apparatus that observes the wavelength ## \lambda ## of the emitted light as a free electron gets captured by an ion and goes back into the ground state might give a more precise answer for the energy required to ionize the atom. Note energy ## E=\frac{hc}{\lambda} ##.
 
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1. What is the Franck and Hertz experiment?

The Franck and Hertz experiment is a physics experiment that was conducted in the early 20th century to study the behavior of electrons in atoms. It involves the passing of electrons through a gas-filled tube and measuring the energy they gain or lose as they collide with gas atoms.

2. Why is the Franck and Hertz experiment important?

The Franck and Hertz experiment provided evidence for the quantization of energy in atoms, which is a fundamental concept in quantum mechanics. It also helped to confirm the Bohr model of the atom and led to the development of new technologies, such as the neon light.

3. How does the Franck and Hertz experiment work?

In the Franck and Hertz experiment, a low-pressure gas (usually mercury vapor) is placed in a tube with two electrodes at either end. A high voltage is applied to one electrode, causing electrons to accelerate towards the other electrode. As the electrons collide with gas atoms, they either gain or lose energy, which is measured by a collector electrode. The energy levels of the gas atoms are then determined by analyzing the voltage at which the collector electrode shows a decrease in current.

4. What does the Franck and Hertz experiment tell us about the energy levels of atoms?

The Franck and Hertz experiment demonstrated that the energy levels in atoms are discrete and can only take on certain values. This supports the Bohr model of the atom, which proposed that electrons can only occupy specific energy levels, rather than having a continuous range of energies.

5. How has the Franck and Hertz experiment been used in modern research?

The Franck and Hertz experiment has been used in various modern research fields, such as studying the properties of semiconductors and creating new materials. It has also been used to investigate the behavior of electrons in more complex systems, such as molecules and solids, providing a better understanding of quantum mechanics and its applications.

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