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Insensitive Nuclei Enhanced by Polarization Transfer (INEPT) is an advanced Nuclear Magnetic Resonance (NMR) technique specifically designed to detect and enhance the signals of low-abundance nuclei, such as carbon-13 and nitrogen-15, in small molecules. The fundamental principle behind INEPT is the transfer of polarization from a more abundant and highly polarizable nucleus, typically hydrogen-1, to the low-abundance nucleus of interest. This process effectively boosts the NMR signal of the...
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meta-Directing Deactivators: –NO2, –CN, –CHO, –⁠CO2R, –COR, –CO2H01:13

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All meta-directing substituents are deactivating groups. These substituents withdraw electrons from the aromatic ring, making the ring less reactive toward electrophilic substitution. For example, the nitration of nitrobenzene is 100,000 times slower than that of benzene because of the deactivating effect of the nitro group. The first step in an electrophilic aromatic substitution is the addition of an electrophile to form a resonance-stabilized carbocation. The energy diagrams for...
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Secondary amines react with nitrous acid to form N-nitrosamines, as depicted in Figure 1. Nitrous acid, a weak and unstable acid, is formed in situ from an aqueous solution of sodium nitrite and strong acids, such as hydrochloric acid or sulfuric acid, in cold conditions. In the presence of an acid, the nitrous acid gets protonated. The subsequent loss of water results in the formation of the electrophile known as nitrosonium ion.
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SN2 Reaction: Kinetics02:14

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Kinetic Studies and Significance
In a chemical reaction, a relationship exists between the concentration of reactants and the rate at which the reaction proceeds. The study to measure this relationship is known as the kinetics of a chemical reaction. Kinetic studies are used to deduce the rate law of a chemical reaction, which provides information about the species involved during the transition state of the rate-determining step. Thus, kinetic studies help to derive the mechanism of a...
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The kinetic studies of SN2 reactions suggest an essential feature of its mechanism: it is a single-step process without intermediates. Here, both the nucleophile and the substrate participate in the rate-determining step.
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An SN2 reaction of an alkyl halide is a single-step process in which bond formation between the nucleophile and the substrate and bond breaking between the substrate and the halide occurs simultaneously through a transition state without forming an intermediate.
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Polarization-insensitive 2 × 2 thermo-optic Mach-Zehnder switch on silicon.

Shipeng Wang, Daoxin Dai

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    |June 2, 2018
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    Summary

    This study presents a polarization-insensitive silicon thermo-optic Mach-Zehnder switch (MZS) using silicon-on-insulator (SOI) waveguides. The device achieves excellent extinction ratios for both TM and TE polarizations.

    Area of Science:

    • Photonics
    • Optical Engineering
    • Materials Science

    Background:

    • Thermo-optic Mach-Zehnder switches (MZS) are crucial for optical communication networks.
    • Achieving polarization-insensitivity in silicon photonic devices remains a significant challenge.
    • Silicon-on-insulator (SOI) technology offers a promising platform for integrated photonics.

    Purpose of the Study:

    • To propose and experimentally demonstrate a polarization-insensitive 2x2 thermo-optic Mach-Zehnder switch (MZS).
    • To utilize silicon-on-insulator (SOI) nanophotonic waveguides for enhanced device performance.
    • To optimize MZS design for insensitivity to optical signal polarization.

    Main Methods:

    • Design of polarization-insensitive 2x2 3 dB multimode interference (MMI) couplers by optimal core width selection.

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  • Utilizing square SOI nanophotonic waveguides (340 nm x 340 nm) for polarization-insensitive phase shift.
  • Experimental fabrication and characterization of the silicon MZS in the C-band (1530–1565 nm).
  • Main Results:

    • Demonstrated a polarization-insensitive 2x2 thermo-optic Mach-Zehnder switch (MZS) on silicon.
    • Achieved excess loss between 1–4 dB for the fabricated silicon MZS.
    • Obtained an extinction ratio greater than 20 dB for both TM and TE polarizations in the C-band.

    Conclusions:

    • The proposed SOI-based MZS design effectively achieves polarization-insensitivity.
    • The device exhibits high performance metrics suitable for optical switching applications.
    • This work contributes to the development of robust silicon photonic integrated circuits.