Skip to main content
Ch.6 - Electronic Structure of Atoms
Chapter 6, Problem 70c

An experiment called the Stern–Gerlach experiment helped establish the existence of electron spin. In this experiment, a beam of silver atoms is passed through a magnetic field, which deflects half of the silver atoms in one direction and half in the opposite direction. The separation between the two beams increases as the strength of the magnetic field increases. (c) Would this experiment work for a beam of fluorine (F) atoms?

Verified step by step guidance
1
Understand the electron configuration of fluorine atoms. Fluorine has 9 electrons with the electron configuration of 1s² 2s² 2p⁵. This results in a single unpaired electron in the 2p orbital.
Recall that the Stern-Gerlach experiment is based on the principle that particles with a magnetic moment (due to unpaired electrons) will be deflected by a magnetic field. The direction of deflection depends on the orientation of the magnetic moment relative to the magnetic field.
Consider the presence of the unpaired electron in fluorine. This unpaired electron gives fluorine a magnetic moment, which is a crucial factor for the Stern-Gerlach experiment.
Analyze the effect of the magnetic field on fluorine atoms. Since fluorine has an unpaired electron, it should experience a force when subjected to a magnetic field, similar to the silver atoms in the original experiment.
Conclude whether the Stern-Gerlach experiment would work for fluorine atoms. Given that fluorine has an unpaired electron and thus a magnetic moment, it should be possible to observe a deflection of fluorine atoms in a magnetic field, similar to that observed with silver atoms.

Verified Solution

Video duration:
4m
This video solution was recommended by our tutors as helpful for the problem above.
Was this helpful?

Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Electron Spin

Electron spin is a fundamental property of electrons, akin to angular momentum, that describes their intrinsic magnetic moment. It can take on one of two values, often referred to as 'spin-up' and 'spin-down'. This property is crucial for understanding how electrons behave in magnetic fields and is a key factor in quantum mechanics.
Recommended video:
Guided course
01:18
Spin Quantum Number

Magnetic Field Interaction

When charged particles, such as electrons, move through a magnetic field, they experience a force that can alter their trajectory. The Stern–Gerlach experiment demonstrates this interaction by showing how particles with different spin states are deflected in opposite directions, leading to the quantization of angular momentum in quantum systems.
Recommended video:
Guided course
01:18
The study of ligand-metal interactions helped to form Ligand Field Theory which combines CFT with MO Theory.

Atomic Structure of Fluorine

Fluorine (F) is a diatomic molecule with a specific electron configuration that influences its magnetic properties. Unlike silver, which has unpaired electrons contributing to its magnetic moment, fluorine has a filled outer shell, resulting in paired electrons that cancel out their magnetic effects. This difference is critical in determining whether the Stern–Gerlach experiment would yield observable results with fluorine atoms.
Recommended video:
Guided course
02:10
Atom Structure