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The probability of having two carbon-13 atoms next to each other is negligible because of the low natural abundance of carbon-13. Consequently, peak splitting due to carbon-carbon spin-spin coupling is not observed in spectra. However, protons up to three sigma bonds away split the carbon signal according to the n+1 rule, resulting in complicated spectra.
A broadband decoupling technique is used to simplify these complex, sometimes overlapping, signals. Broadband decoupling relies on a...
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Double resonance techniques in Nuclear Magnetic Resonance (NMR) spectroscopy involve the simultaneous application of two different frequencies or radiofrequency pulses to manipulate and observe two distinct nuclear spins. One important application of double resonance is spin decoupling, which selectively suppresses coupling with one type of nucleus while observing the NMR signal from another nucleus, simplifying the spectrum and enhancing resolution.
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Frequency Response of a Circuit01:20

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Inductive circuits present intriguing challenges in electrical engineering, particularly during the transition from the time domain to the frequency domain. This transformation involves converting inductors into impedances and utilizing phasor representation.
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Chemical Shift: Internal References and Solvent Effects01:17

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In an NMR sample, precise measurement of the absolute absorption frequencies of nuclei is difficult. A standard internal reference compound is added, and the frequency difference between the reference signal and sample signals is measured.
The internal reference compound generally used in NMR spectroscopy is tetramethylsilane (TMS). TMS is preferred because it is chemically inert, soluble in NMR solvents, and easily removable. Also, the highly shielded methyl protons in TMS yield an intense...
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Design Example: Underdamped Parallel RLC Circuit01:17

Design Example: Underdamped Parallel RLC Circuit

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Consider designing an oscillator circuit, a crucial component in various electronic devices and systems. The objective is to create an oscillator circuit with specific characteristics: a damped natural frequency of 4 kHz and a damping factor of 4 radians per second. To accomplish this, a parallel RLC circuit is employed, known for its ability to sustain oscillations at a resonant frequency. In this case, the damping factor is pivotal in achieving the desired performance.
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Oscillations In An LC Circuit01:30

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An idealized LC circuit of zero resistance can oscillate without any source of emf by shifting the energy stored in the circuit between the electric and magnetic fields. In such an LC circuit, if the capacitor contains a charge q before the switch is closed, then all the energy of the circuit is initially stored in the electric field of the capacitor. This energy is given by
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Related Experiment Video

Updated: Jun 18, 2025

Real-Time DC-dynamic Biasing Method for Switching Time Improvement in Severely Underdamped Fringing-field Electrostatic MEMS Actuators
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Multi-ion Frequency Reference Using Dynamical Decoupling.

Lennart Pelzer1, Kai Dietze1,2, Víctor José Martínez-Lahuerta2,3

  • 1<a href="https://ror.org/05r3f7h03">Physikalisch-Technische Bundesanstalt</a>, Bundesallee 100, 38116 Braunschweig, Germany.

Physical Review Letters
|August 2, 2024
PubMed
Summary
This summary is machine-generated.

We demonstrate a new dynamical decoupling method to stabilize ion clocks. This technique significantly reduces frequency shifts caused by magnetic field noise, improving the precision of atomic clocks and quantum information processing.

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Area of Science:

  • Atomic, Molecular, and Optical Physics
  • Quantum Information Science

Background:

  • Trapped atomic ions are promising for high-precision frequency standards.
  • Magnetic field fluctuations and other noise sources limit the performance of ion clocks.
  • Dynamical decoupling is a technique to mitigate decoherence.

Purpose of the Study:

  • To experimentally realize a continuous dynamical decoupling scheme for ion clocks.
  • To suppress leading frequency shifts in a multi-ion frequency reference.
  • To engineer transitions with reduced sensitivity to environmental noise.

Main Methods:

  • Utilized a continuous dynamical decoupling scheme with radio-frequency dressing fields.
  • Employed near-resonant magnetic coupling of Zeeman sublevels in ^{40}Ca^{+} ions.
  • Applied a second, detuned dressing field to minimize amplitude noise and tensor shifts.

Main Results:

  • Achieved suppression of the quadratic dependence of the quadrupole shift to 3(2) mHz/μm².
  • Demonstrated coherence times of 290(20) ms on the optical transition.
  • Maintained performance in a laboratory environment with significant magnetic field noise.

Conclusions:

  • The demonstrated dynamical decoupling effectively suppresses frequency shifts in multi-ion clocks.
  • This technique can remove inhomogeneous line shifts in ion-based frequency standards.
  • The method shows potential for applications in quantum computing and simulation with trapped ions.