Why the Stern-Gerlach experiment didn't detect the L?

In summary, Stern and Gerlach attempted to measure the magnetic moment of atoms using the Stern-Gerlach experiment, but they did not detect any magnetic moment due to orbital angular momentum. They later detected a magnetic moment due to spin angular momentum in the Phipps-Taylor experiment.
  • #1
patric44
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Homework Statement
in the stern gerlash experiment why didn't they detect the magnetic moments originated from the orbital angular momentum ?
Relevant Equations
μ = q/2m L
i recently read about the stern-gerlach experiment and found out that they did it in the first place to verify the principle of the "space quantization " introduced by Bohr , and they thought they did detect the quantization of the orbital angular momentum of ( L = 1 , m = 1,-1 ) neglecting the fact that they didn't found a third line associated with the m = 0 , and later on after Phipps and Taylor's experiment they detect a slimier two spots for hydrogen which indicated that , what had been found in the original S-G experiment was the magnetic moment due to spin angular momentum .
my question is : why didn't they detect the magnetic moment due to the orbital angular momentum in the original S-G experiment ?
 
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  • #2
It could simply be that their apparatus was not sufficiently sensitive enough and if they did see anything couldn’t decide if it was some form of statistical error in measurement or a real effect.
 
  • #3
What orbital angular momentum? Silver is [Kr], with L=0, 4d10 with L=0, and 5S1, with L = 0.
 
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  • #4
Vanadium 50 said:
What orbital angular momentum? Silver is [Kr], with L=0, 4d10 with L=0, and 5S1, with L = 0.
ok! that make sense thanks , but that raise a question on my mind , why would they choose silver atoms as a subject for the experiment to verify angular momentum quantization ?! or they simply didn't know 🤔 that it just didn't have orbital angular momentum .
another question : had they have choose another atoms , they would really verify space quantization right . or the addition of orbital and spin angular momentum would make a mixture of states with different net angular momenta and they would have got some strange results .
 
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  • #5
Stern proposed the experiment in 1921 and Gerlach performed it in 1922, so they were doing it before the Schroedinger Equation and modern atomic theory. Whatever caused them to pick silver was certainly not its electronic configuration, since that hadn't been worked out yet.
 
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1. Why didn't the Stern-Gerlach experiment detect the L?

The Stern-Gerlach experiment was designed to detect the spin of an electron, which can either be up or down. The L, or orbital angular momentum, is a different property of an electron and is not affected by the magnetic field used in the experiment. Therefore, the experiment was not capable of detecting the L.

2. Is the Stern-Gerlach experiment flawed since it cannot detect the L?

No, the Stern-Gerlach experiment is not flawed. It was not designed to detect the L, but rather to demonstrate the quantization of spin angular momentum in quantum mechanics. The experiment successfully achieved its intended purpose.

3. Can the Stern-Gerlach experiment be modified to detect the L?

No, the Stern-Gerlach experiment cannot be modified to detect the L. The experiment relies on the interaction between the magnetic field and the spin of the electron, which is not affected by the L. A different experimental setup would be needed to detect the L.

4. What is the significance of the L in quantum mechanics?

The L, or orbital angular momentum, is an important property of an electron in quantum mechanics. It describes the motion of an electron around the nucleus of an atom and is related to the energy levels of an atom. The L also plays a role in determining the shape of atomic orbitals and the behavior of electrons in chemical bonding.

5. Are there any other experiments that can detect the L?

Yes, there are other experiments that can detect the L. One example is the Franck-Hertz experiment, which measures the energy levels of atoms by bombarding them with electrons. The L can also be indirectly measured through other experiments, such as spectroscopy, which analyzes the light emitted or absorbed by atoms. However, the Stern-Gerlach experiment is not one of these experiments and is specifically designed to detect spin angular momentum, not the L.

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