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Susceptibility, Permittivity and Dielectric Constant01:26

Susceptibility, Permittivity and Dielectric Constant

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When placed in an external electric field, a dielectric material gets polarized. The charge density in the dielectric material is given by the sum of the bound and free charge densities, while the total charge density can also be written in terms of the total electric field. The bound charge density can be measured in terms of polarization, leading to the relationship between electric displacement and polarization.
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Resonance02:52

Resonance

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The Lewis structure of a nitrite anion (NO2−) may actually be drawn in two different ways, distinguished by the locations of the N-O and N=O bonds.
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¹H NMR: Complex Splitting01:13

¹H NMR: Complex Splitting

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A proton M that is coupled to a proton X results in doublet signals for M. However, NMR-active nuclei can be simultaneously coupled to more than one nonequivalent nucleus. When M is coupled to a second proton A, such as in styrene oxide, each peak in the doublet is split into another doublet.
Splitting diagrams or splitting tree diagrams are routinely used to depict such complex couplings. While drawing splitting diagrams, the splitting with the larger coupling constant is usually applied...
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Spin–Spin Coupling: Two-Bond Coupling (Geminal Coupling)01:20

Spin–Spin Coupling: Two-Bond Coupling (Geminal Coupling)

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Two NMR-active nuclei bonded to a central atom can be involved in geminal or two-bond coupling. Geminal coupling is commonly seen between diastereotopic protons in chiral molecules and unsymmetrical alkenes, among others.
The central atom need not be NMR-active because its electrons are affected by the electron polarization of the spin-active atoms. However, spin information is transmitted less effectively than in one-bond coupling, and 2J values are usually weaker than 1J values. The energy of...
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Spin–Spin Coupling: Three-Bond Coupling (Vicinal Coupling)01:22

Spin–Spin Coupling: Three-Bond Coupling (Vicinal Coupling)

1.5K
Vicinal or three-bond coupling is commonly observed between protons attached to adjacent carbons. Here, nuclear spin information is primarily transferred via electron spin interactions between adjacent C‑H bond orbitals. This generally favors the antiparallel arrangement of spins, so 3J values are usually positive.
The extent of coupling depends on the C‑C bond length, the two H‑C‑C angles, any electron-withdrawing substituents, and the dihedral angle between the involved orbitals. The...
1.5K
G-protein Coupled Receptors01:21

G-protein Coupled Receptors

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G-protein coupled receptors are ligand binding receptors that indirectly affect changes in the cell. The actual receptor is a single polypeptide that transverses the cell membrane seven times creating intracellular and extracellular loops. The extracellular loops create a ligand specific pocket which binds to neurotransmitters or hormones. The intracellular loops holds onto the G-protein.
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Related Experiment Video

Updated: Jan 25, 2026

Fabrication of Nanopillar-Based Split Ring Resonators for Displacement Current Mediated Resonances in Terahertz Metamaterials
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Fabrication of Nanopillar-Based Split Ring Resonators for Displacement Current Mediated Resonances in Terahertz Metamaterials

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A Submersible Printed Sensor Based on a Monopole-Coupled Split Ring Resonator for Permittivity Characterization.

Erick Reyes-Vera1, G Acevedo-Osorio2, Mauricio Arias-Correa3

  • 1Department of Electronic and Telecommunications Engineering, Instituto Tecnológico Metropolitano, Medellín 050012, Colombia. erickreyes@itm.edu.co.

Sensors (Basel, Switzerland)
|April 28, 2019
PubMed
Summary

This study introduces a novel microwave permittivity sensor for non-invasive dielectric characterization of liquids. The reusable, submersible sensor offers high sensitivity and repeatability for material analysis.

Keywords:
material characterizationmetamaterialmicrowave sensorpermittivity measurementssplit ring resonator

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Area of Science:

  • Electrical Engineering
  • Materials Science
  • Applied Physics

Background:

  • Dielectric characterization is crucial for material analysis in various industries.
  • Existing methods for liquid material characterization can be invasive or lack reusability.
  • Development of compact, non-invasive sensors is needed for real-time material property determination.

Purpose of the Study:

  • To present a novel, non-invasive, reusable, and submersible permittivity sensor.
  • To demonstrate the sensor's capability for dielectric characterization of liquid materials using microwave techniques.
  • To establish a method for extracting dielectric permittivity of unknown liquids.

Main Methods:

  • A compact split-ring resonator excited by monopole antennas was designed and fabricated.
  • The sensing principle relies on the frequency shift and Q-factor changes in the transmission coefficient due to liquid dielectric properties.
  • Calibration curves were generated using commercial liquids to establish a mathematical model.

Main Results:

  • The sensor demonstrated a high Q-factor, compact size, good sensitivity, and high repeatability.
  • Simulated and experimental results showed good agreement.
  • A mathematical equation was derived to accurately determine the dielectric permittivity of unknown liquid materials.

Conclusions:

  • The proposed microwave permittivity sensor is a promising solution for non-invasive material characterization.
  • The sensor's design and performance make it suitable for applications in the food industry, bio-sensing, and quality control.
  • This technology facilitates accurate determination of material properties in diverse liquid-based applications.