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Related Concept Videos

Double Resonance Techniques: Overview01:12

Double Resonance Techniques: Overview

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.
Spin decoupling is usually achieved by...
¹H NMR: Complex Splitting01:13

¹H NMR: Complex Splitting

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 first.
IR Spectrum Peak Splitting: Symmetric vs Asymmetric Vibrations01:08

IR Spectrum Peak Splitting: Symmetric vs Asymmetric Vibrations

Identical bonds within a polyatomic group can stretch symmetrically (in-phase) or asymmetrically (out-of-phase). Similar to hydrogen bonding, these vibrations also influence the shape of the IR peak. Generally, asymmetric stretching frequencies are higher than symmetric stretching frequencies. For example, primary amines exhibit two distinct IR peaks between 3300–3500 cm−1 corresponding to the symmetric and asymmetric N-H stretching, while secondary amines exhibit a single stretching vibration...
Sound Waves: Resonance01:14

Sound Waves: Resonance

Resonance is produced depending on the boundary conditions imposed on a wave. Resonance can be produced in a string under tension with symmetrical boundary conditions (i.e., has a node at each end). A node is defined as a fixed point where the string does not move. The symmetrical boundary conditions result in some frequencies resonating and producing standing waves, while other frequencies interfere destructively. Sound waves can resonate in a hollow tube, and the frequencies of the sound...
¹H NMR Signal Multiplicity: Splitting Patterns01:13

¹H NMR Signal Multiplicity: Splitting Patterns

When protons A and X are coupled, their nuclear spin energy levels are slightly modified. This is because the energy required to excite proton A to a spin state parallel to proton X is slightly different from the energy required for it to become anti-parallel to spin X. Consequently, there are two possible excitation frequencies for A (A1 and A2), depending on the spin state of X, and vice versa. The mutual nature of coupling implies that the difference between frequencies A1 and A2, indicated...
¹H NMR: Interpreting Distorted and Overlapping Signals01:02

¹H NMR: Interpreting Distorted and Overlapping Signals

Spin systems where the difference in chemical shifts of the coupled nuclei is greater than ten times J are called first-order spin systems. These nuclei are weakly coupled, and their chemical shifts and coupling constant can generally be estimated from the well-separated signals in the spectrum.
As Δν decreases and the signals move closer, the doublets appear increasingly distorted. The intensities of the inner lines increase at the cost of those of the outer lines as the signals are slanted or...

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Related Experiment Video

Updated: Jun 19, 2026

Measurement of Coherence Decay in GaMnAs Using Femtosecond Four-wave Mixing
15:58

Measurement of Coherence Decay in GaMnAs Using Femtosecond Four-wave Mixing

Published on: December 3, 2013

Extra resonances in time-domain four-wave mixing.

J T Fourkas, R Trebino, M A Dugan

    Optics Letters
    |October 6, 2009
    PubMed
    Summary
    This summary is machine-generated.

    Short laser pulses in time-domain experiments can create extra resonances, similar to those seen in frequency-domain nonlinear wave mixing. These pulse-length-induced resonances strengthen as pulse duration decreases, especially below the dephasing time.

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    Last Updated: Jun 19, 2026

    Measurement of Coherence Decay in GaMnAs Using Femtosecond Four-wave Mixing
    15:58

    Measurement of Coherence Decay in GaMnAs Using Femtosecond Four-wave Mixing

    Published on: December 3, 2013

    Generation and Coherent Control of Pulsed Quantum Frequency Combs
    06:42

    Generation and Coherent Control of Pulsed Quantum Frequency Combs

    Published on: June 8, 2018

    Quantifying Mixing using Magnetic Resonance Imaging
    07:33

    Quantifying Mixing using Magnetic Resonance Imaging

    Published on: January 25, 2012

    Area of Science:

    • Nonlinear optics
    • Physical chemistry
    • Spectroscopy

    Background:

    • Nonlinear wave mixing in the frequency domain can produce extra resonances due to factors like pure dephasing or laser fluctuations.
    • Transient-grating experiments typically assume a steady state is achieved during laser excitation.

    Purpose of the Study:

    • To investigate the induction of extra resonances in the time domain.
    • To explore the role of laser pulse length in transient-grating experiments.
    • To theoretically and experimentally support the phenomenon of pulse-length-induced resonances.

    Main Methods:

    • Theoretical modeling of nonlinear wave mixing in the time domain.
    • Analysis of transient-grating experiments with short laser pulses.
    • Comparison of theoretical predictions with experimental data.

    Main Results:

    • Extra resonances, previously observed in the frequency domain, can be induced by operating in the time domain.
    • These pulse-length-induced resonances emerge when laser pulses are too short to reach a steady state during excitation.
    • The strength of these resonances increases as the excitation pulse length decreases, particularly when it becomes shorter than the medium's dephasing time.

    Conclusions:

    • Time-domain operation offers an alternative pathway to induce extra resonances in nonlinear spectroscopy.
    • Shortening laser pulse durations is a critical factor in observing these time-domain induced resonances.
    • Experimental evidence supports the theoretical framework linking pulse length, dephasing time, and resonance strength.