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Related Concept Videos

The Kinetic Model of Gases01:24

The Kinetic Model of Gases

The kinetic model of gases explains the properties of a perfect gas using three main assumptions: molecules move in ceaseless random motion, their size is negligible compared to the distances between them, and they do not interact except during perfectly elastic collisions. The total energy of a gas is the sum of the kinetic energies of all its constituent molecules. The pressure exerted by the gas arises from the continual bombardment of the container walls by billions of colliding molecules.
Kinetic Theory of an Ideal Gas01:12

Kinetic Theory of an Ideal Gas

A mole is defined as the amount of any substance that contains as many molecules as there are atoms in exactly 12 grams of carbon-12. An Italian scientist Amedeo Avogadro (1776–1856) formed the  hypothesis that equal volumes of gas at equal pressure and temperature contain equal numbers of molecules, independent of the type of gas. Later, the hypothesis was developed to form the SI unit for measuring the amount of any substance.
The number of molecules in one mole is called Avogadro's number...
Kinetic Molecular Theory and Gas Laws Explain Properties of Gas Molecules02:34

Kinetic Molecular Theory and Gas Laws Explain Properties of Gas Molecules

The test of the kinetic molecular theory (KMT) and its postulates is its ability to explain and describe the behavior of a gas. The various gas laws (Boyle’s, Charles’s, Gay-Lussac’s, Avogadro’s, and Dalton’s laws) can be derived from the assumptions of the KMT, which have led chemists to believe that the assumptions of the theory accurately represent the properties of gas molecules.
The Bohr Model02:18

The Bohr Model

Following the work of Ernest Rutherford and his colleagues in the early twentieth century, the picture of atoms consisting of tiny dense nuclei surrounded by lighter and even tinier electrons continually moving about the nucleus was well established. This picture was called the planetary model since it pictured the atom as a miniature “solar system” with the electrons orbiting the nucleus like planets orbiting the sun. The simplest atom is hydrogen, consisting of a single proton as the nucleus...
The Quantum-Mechanical Model of an Atom02:45

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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...
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The quadrupole mass analyzer consists of four cylindrical metal rods arranged in a diamond carrying a DC voltage and a radio-frequency AC voltage. The motion of ions through the quadrupole depends on the field strength, causing only ions of a certain m/z to resonate successfully and strike the detector at a given field strength. Though the transmission rate for these analyzers is high, the exact elemental composition of the sample is not determined because of low resolution; however, they are...

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Related Experiment Video

Updated: May 17, 2026

Setting Limits on Supersymmetry Using Simplified Models
07:46

Setting Limits on Supersymmetry Using Simplified Models

Published on: November 15, 2013

Polyakov loop and the hadron resonance gas model.

E Megías1, E Ruiz Arriola, L L Salcedo

  • 1Departament de Física, Universitat Autònoma de Barcelona, Bellaterra, Barcelona, Spain. emegias@ifae.es

Physical Review Letters
|October 30, 2012
PubMed
Summary
This summary is machine-generated.

The Polyakov loop

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Area of Science:

  • Nuclear Physics
  • Quantum Chromodynamics (QCD)

Background:

  • The Polyakov loop is a key order parameter for the deconfinement phase transition in Quantum Chromodynamics (QCD).
  • Understanding the behavior of the Polyakov loop in the confined phase is crucial for nuclear physics research.

Purpose of the Study:

  • To represent the expectation value of the Polyakov loop in the confined phase using hadronic states.
  • To compare this representation with lattice QCD data and investigate the role of exotic hadrons.

Main Methods:

  • Developed an approximate sum rule relating the Polyakov loop to hadronic states, similar to the hadron resonance gas model.
  • Utilized lattice QCD data with N(f)=2+1 for temperatures between 150 MeV and 190 MeV.
  • Incorporated conventional meson and baryon states from two distinct models.

Main Results:

  • The proposed sum rule provides a good description of lattice data in the temperature range of 150-190 MeV.
  • Discrepancies in lattice results below 150 MeV suggest a dependence on the inclusion of exotic hadrons.
  • One set of lattice data requires exotic hadrons for consistency, while others do not.

Conclusions:

  • The expectation value of the Polyakov loop in the confined phase can be approximated by a sum over hadronic states.
  • The presence or absence of exotic hadrons in the QCD spectrum may explain disagreements in lattice QCD results at lower temperatures.