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Related Concept Videos

Series Resonance01:17

Series Resonance

321
The RLC circuit impedance is defined as the ratio of the supply voltage to the circuit current. Resonance in such a circuit occurs when the imaginary part of this impedance equals zero. This specific condition means that the inductive reactance is exactly equal to the capacitive reactance. The frequency at which this happens is known as the resonant frequency. Mathematically, the resonant frequency is inversely proportional to the square root of the product of the inductance (L) and capacitance...
321
Thermal Electrocyclic Reactions: Stereochemistry01:17

Thermal Electrocyclic Reactions: Stereochemistry

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The stereochemistry of electrocyclic reactions is strongly influenced by the orbital symmetry of the polyene HOMO. Under thermal conditions, the reaction proceeds via the ground-state HOMO.
Selection Rules: Thermal Activation
Conjugated systems containing an even number of π-electron pairs undergo a conrotatory ring closure. For example, thermal electrocyclization of (2E,4E)-2,4-hexadiene, a conjugated diene containing two π-electron pairs, gives trans-3,4-dimethylcyclobutene.
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¹H NMR: Long-Range Coupling01:27

¹H NMR: Long-Range Coupling

2.1K
The coupling interactions of nuclei across four or more bonds are usually weak, with J values less than 1 Hz. While these are usually not observed in spectra, the presence of multiple bonds along the coupling pathway can result in observable long-range coupling.
In alkenes, spin information is communicated via σ–π overlap, as seen in allylic (four-bond) and homoallylic (five-bond) couplings. These coupling interactions are stronger when the σ bond is parallel to the alkene...
2.1K
Valence Bond Theory02:42

Valence Bond Theory

9.9K
Coordination compounds and complexes exhibit different colors, geometries, and magnetic behavior, depending on the metal atom/ion and ligands from which they are composed. In an attempt to explain the bonding and structure of coordination complexes, Linus Pauling proposed the valence bond theory, or VBT, using the concepts of hybridization and the overlapping of the atomic orbitals. According to VBT, the central metal atom or ion (Lewis acid) hybridizes to provide empty orbitals of suitable...
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Spin–Spin Coupling: Three-Bond Coupling (Vicinal Coupling)01:22

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1.2K
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...
1.2K
Spin–Spin Coupling: Two-Bond Coupling (Geminal Coupling)01:20

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

1.3K
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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Related Experiment Video

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Measurement of Quantum Interference in a Silicon Ring Resonator Photon Source
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Conjugated topological interface-states in coupled ring resonators.

Yu-Chuan Lin1,2, Bo-Yu Chen1, Wen-Jeng Hsueh3

  • 1Photonics Group, Department of Engineering Science and Ocean Engineering, National Taiwan University, 1, Sec. 4, Roosevelt Road, Taipei, 10660, Taiwan.

Scientific Reports
|June 9, 2021
PubMed
Summary
This summary is machine-generated.

Researchers introduce topological interface-states in topological series coupled ring resonators for robust optical transmission. This novel approach achieves ultra-high-Q and complete transmission, overcoming limitations in traditional photonic systems.

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Area of Science:

  • Topological Photonics
  • Resonator Optics
  • Condensed Matter Physics

Background:

  • Topological photonics offers robust unidirectional transmission immune to scattering.
  • Research on topological series coupled ring resonators (T-SCRR) remains limited.
  • Conventional photonic systems face transmission loss with increasing resonator quality (Q).

Purpose of the Study:

  • To investigate and describe topological interface-states (TIS) in T-SCRR for the first time.
  • To develop an approach for achieving TIS in dielectric binary ring resonators.
  • To enhance optical transmission properties in high-Q resonator systems.

Main Methods:

  • Analysis of the band structure of dielectric binary ring resonators.
  • Calculation of the Zak phase for each bandgap.
  • Development of conjugated topological series coupled ring resonators.

Main Results:

  • Demonstrated the existence of TIS in T-SCRR.
  • Achieved ultra-high-Q with complete transmission via conjugated TIS.
  • Significantly improved transmission loss issues associated with high-Q in traditional systems.

Conclusions:

  • Conjugated T-SCRR offer a novel pathway for enhanced optical performance.
  • The findings pave the way for advanced photonic devices.
  • Potential applications include high-Q filters, optical sensors, switches, resonators, communications, and quantum information processors.