Stern-Gerlach Experiment: Difference between revisions

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==The Main Idea==
==The Main Idea==


State, in your own words, the main idea for this topic
When a beam of silver atoms were sent through the non-uniform magnetic field, Stern and Gerlach expected the atoms to act as magnetic dipoles and, depending on their orientation, to be deflected in a continuous range. However, it was proven that the atoms had a quantum property, spin, that determined the angular momentum of the electrons as either up or down, much like a classically spinning object but only for certain values(specifically spin +ħ/2 or spin −ħ/2 where {{mvar|ħ}} is the reduced [[Planck constant]], {{math|''h''}} / {{math|2''π''}})
Electric Field of Capacitor


===A Mathematical Model===
===A Mathematical Model===

Revision as of 14:39, 3 December 2015

A work in progress by Hunter Legerton

Silver atoms travel through the non-uniform magnetic field and are deflected to only two specific locations rather than in a continuous range

In 1922, German physicists Otto Stern and Walther Gerlach sent silver atoms through a non-uniform magnetic field into a detector screen. Based on their understanding of the orientation of magnetic dipoles, Stern and Gerlach expected the atoms to be deflected varying amounts, creating an even range of impacts on the detector screen. However, the atoms were deflected either up or down to two points of accumulation. This experiment, now known as the Stern-Gerlach Experiment, demonstrated angular momentum quantization and the quantum property spin.


The Main Idea

When a beam of silver atoms were sent through the non-uniform magnetic field, Stern and Gerlach expected the atoms to act as magnetic dipoles and, depending on their orientation, to be deflected in a continuous range. However, it was proven that the atoms had a quantum property, spin, that determined the angular momentum of the electrons as either up or down, much like a classically spinning object but only for certain values(specifically spin +ħ/2 or spin −ħ/2 where Template:Mvar is the reduced Planck constant, Template loop detected: Template:Math / Template loop detected: Template:Math)

A Mathematical Model

What are the mathematical equations that allow us to model this topic. For example [math]\displaystyle{ {\frac{d\vec{p}}{dt}}_{system} = \vec{F}_{net} }[/math] where p is the momentum of the system and F is the net force from the surroundings.

A Computational Model

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