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Stern–Gerlach experiment

physical science Maturity 9-11 Next article →

The Stern–Gerlach experiment is a foundational demonstration in quantum physics. It proves that the spatial orientation of angular momentum is quantized. In the atomic world, quantization means that certain properties can only exist in specific, discrete values. This experiment showed that atomic-scale systems possess intrinsic quantum properties. It moved physics away from purely classical views of how matter behaves. By observing how particles move through magnetic fields, scientists confirmed that the subatomic world follows different rules than the world we see every day.

Stern-Gerlach experiment
Stern-Gerlach experiment

To perform the experiment, scientists use electrically neutral particles, such as silver atoms. Using an electric furnace, they evaporate the silver to create a beam of atoms. This beam travels through a vacuum to prevent interference. The atoms pass through an inhomogeneous magnetic field. An inhomogeneous field is a magnetic field that varies in strength across different points in space. This variation is critical for the mechanism to work. If the field were homogeneous, the forces on opposite ends of a particle's magnetic moment would cancel out. Because the field is inhomogeneous, a net force is created that deflects the particle's trajectory.

The results of the experiment depend on a property called spin angular momentum. This is an intrinsic property, meaning it is built into the particle itself. For the particles used in this experiment, which are spin-1/2 fermions, there are only two possible measurement outcomes along any axis. These outcomes are represented by the quantum numbers +1/2 and -1/2. Scientists often describe these states as "spin up" or "spin down" based on the direction of the deflection. While classical physics predicts a continuous distribution of particles, the quantum reality shows discrete points of accumulation on a detector screen.

Quantum projection of S onto z for spin half particles
Quantum projection of S onto z for spin half particles

The history of this discovery began in 1921 when Otto Stern conceived the idea. He wanted to test the Bohr–Sommerfeld model of the atom. This model suggested that the direction of an atom's angular momentum was quantized, a concept known as space quantization. In early 1922, Stern and Walther Gerlach successfully conducted the experiment in Frankfurt. They used an electromagnet to control the field strength. They could start with a null field and increase it gradually. As the field grew, they watched the single band of silver atoms split into two distinct paths.

The significance of the experiment lies in its direct observation of discrete quantum states. Before this, scientists had seen discrete phenomena like atomic spectra, but they had not observed the separation of states so clearly. The experiment proved that the angular momentum of a particle is not random or continuous. Instead, it takes only specific, allowed values. This provided decisive evidence for the reality of angular-momentum quantization in all atomic-scale systems. It helped establish the mathematical framework used in modern quantum mechanics.

One of the most profound lessons from the Stern–Gerlach apparatus involves sequential measurements. Scientists discovered that these devices do not simply act as filters for pre-existing states. Instead, the act of measuring a particle actually alters its state. If you use one apparatus to measure spin along the z-axis and then a second to measure the x-axis, the second measurement "resets" the particle. For example, if you measure the z-spin, then the x-spin, and then the z-spin again, the final measurement will show both up and down results.

Sg-seq
Sg-seq

This phenomenon is a direct demonstration of the uncertainty principle. The principle states that you cannot measure two perpendicular components of spin at the same time. Measuring the spin along the x-axis destroys the information previously known about the spin along the z-axis. This "clean slate" effect shows that the observer is part of the physical process. This connection between measurement and state change is a core concept in quantum mechanics. It distinguishes the predictable nature of classical mechanics from the probabilistic nature of the quantum world.

Stern-Gerlach Analyzer Sequential Series E3
Stern-Gerlach Analyzer Sequential Series E3
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🖼️ Images & Media (8)
File:Stern-Gerlach experiment.svg
Stern-Gerlach experiment.svg
Quantum spin and the Stern-Gerlach experiment.ogv
File:Quantum projection of S onto z for spin half particles.svg
Quantum projection of S onto z for spin...
File:Sg-seq.svg
Sg-seq.svg
File:Stern-Gerlach Analyzer Sequential Series E1.png
Stern-Gerlach Analyzer Sequential Series E1.png
File:Stern-Gerlach Analyzer Sequential Series E2.png
Stern-Gerlach Analyzer Sequential Series E2.png
File:Stern-Gerlach Analyzer Sequential Series E3.png
Stern-Gerlach Analyzer Sequential Series E3.png
File:SternGerlach2.jpg
SternGerlach2.jpg
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