Spin Quantum Number
Spin Quantum Number - Related Videos
02:43
Quantum Numbers
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2020
It is said that the energy of an electron in an atom is quantized; that is, it can be equal only to certain specific values and can jump from one energy level to another but not transition smoothly or stay between these levels. The energy levels are labeled with an n value, where n = 1, 2, 3, etc. Generally speaking, the energy of an electron in an atom is greater for greater values of n. This number, n, is referred to as the principal quantum number. The principal quantum number defines the...
10:00
Gradient Echo Quantum Memory in Warm Atomic Vapor
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Cited by 2 •
2013
The gradient echo memory is a protocol for storing optical quantum states of light in atomic ensembles. Quantum memory is a key element of a quantum repeater, which can extend the range of quantum key distribution. We outline the operation of the scheme when implemented in a 3-level atomic ensemble.
02:45
The Quantum-Mechanical Model of an Atom
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2020
Shortly after de Broglie published his ideas that the electron in a hydrogen atom could be better thought of as being a circular standing wave instead of a particle moving in quantized circular orbits, Erwin Schrödinger extended de Broglie’s work by deriving what is now known as the Schrödinger equation. When Schrödinger applied his equation to hydrogen-like atoms, he was able to reproduce Bohr’s expression for the energy and, thus, the Rydberg formula governing hydrogen spectra. Schrödinger...
14:20
Absolute Quantum Yield Measurement of Powder Samples
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Cited by 16 •
2012
In this video we will demonstrate measuring and calculating absolute quantum yield and chromaticity coordinates directly in powder samples using the Hitachi F-7000 Quantum Yield Measuring System.
17:14
Compact Quantum Dots for Single-molecule Imaging
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Cited by 13 •
2012
We describe the preparation of colloidal quantum dots with minimized hydrodynamic size for single-molecule fluorescence imaging. Compared to conventional quantum dots, these nanoparticles are similar in size to globular proteins and are optimized for single-molecule brightness, stability against photodegradation, and resistance to nonspecific binding to proteins and cells.
FAQs
The two allowed signs of the spin quantum number distinguish opposite orientations of an electron’s intrinsic spin relative to the selected axis. They do not introduce additional orbital locations; instead, they provide the spin assignment used when describing electrons within an existing orbital. This distinction keeps spin orientation separate from orbital occupancy in electronic-structure descriptions.
The Pauli exclusion principle makes the second electron in a shared orbital use the spin value opposite to that of the first. This rule limits each orbital to an opposite-spin pair rather than two electrons with the same assignment. It also explains why electron-configuration notation can show whether an orbital is singly occupied or paired.
To use the spin quantum number in an electron configuration, inspect the electrons assigned to each orbital and compare their spin labels. Opposite labels in the same orbital indicate a pair, whereas an orbital containing only one electron represents an unpaired electron. This reading provides a direct route from notation to the paired or unpaired pattern needed for later chemical interpretation.
Paired and unpaired electrons are important because their distribution supports predictions of an atom’s or molecule’s magnetic properties. The spin quantum number supplies the labels needed to identify that distribution, while the configuration shows where those electrons occur. Comparing configurations therefore helps connect microscopic electron arrangements with differences in expected magnetic behavior.
In bonding analysis, the spin quantum number helps organize the electron-pairing information contained in an electronic structure. Identifying paired and unpaired electrons contributes to recognizing chemical bonding patterns, linking the arrangement of electrons in orbitals with the way bonding is described for atoms and molecules. It is therefore useful beyond simple configuration writing.
Spin assignments also contribute to interpreting spectroscopic behavior. Because electronic configurations record whether electrons are paired or unpaired and which spin value each carries, they provide information for comparing electronic arrangements associated with observed spectra. The spin quantum number thus connects the notation used in chemistry with experimental signatures of electronic structure.