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IR Spectroscopy: Hooke's Law Approximation of Molecular Vibration01:16

IR Spectroscopy: Hooke's Law Approximation of Molecular Vibration

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A covalently bonded heteronuclear diatomic molecule can be modeled as two vibrating masses connected by a spring. The vibrational frequency of the bond can be expressed using an equation derived from Hooke's law, which describes how the force applied to stretch or compress a spring is proportional to the displacement of the spring. In this case, the atoms behave like masses, and the bond acts like a spring.
According to Hooke's law, the vibrational frequency is directly proportional to...
1.3K
IR Spectroscopy: Molecular Vibration Overview01:24

IR Spectroscopy: Molecular Vibration Overview

2.1K
When Infrared (IR) radiation passes through a covalently bonded molecule, the bonds transition from lower to higher vibrational levels. The fundamental vibrational motions that result in infrared absorption can be classified as stretching or bending vibrations.
Stretching vibrations are vibrational motions that occur along the bond line, changing the bond length or distance between two bonded atoms. They are further distinguished as symmetric or asymmetric. In symmetric stretching, the...
2.1K
Photoelectric Effect02:26

Photoelectric Effect

29.6K
When light of a particular wavelength strikes a metal surface, electrons are emitted. This is called the photoelectric effect. The minimum frequency of light that can cause such emission of electrons is called the threshold frequency, which is specific to the metal. Light with a frequency lower than the threshold frequency, even if it is of high intensity, cannot initiate the emission of electrons. However, when the frequency is higher than the threshold value, the number of electrons ejected...
29.6K
2D NMR: Heteronuclear Single-Quantum Correlation Spectroscopy (HSQC)01:19

2D NMR: Heteronuclear Single-Quantum Correlation Spectroscopy (HSQC)

685
Heteronuclear single-quantum correlation spectroscopy (HSQC) is a 2D NMR technique that reveals one-bond correlations between hydrogen and a heteronucleus. The HSQC experiment is similar to the heteronuclear correlation experiment (HETCOR) but is more sensitive. In the HSQC spectrum, the proton chemical shift is plotted on the horizontal F2 axis, while the 13C chemical shift is plotted on the vertical F1 axis. The corresponding proton and 13C spectra are also shown. The HSQC contour plot does...
685
The Quantum-Mechanical Model of an Atom02:45

The Quantum-Mechanical Model of an Atom

42.2K
Shortly after de Broglie published his ideas that the electron in a hydrogen atom could be better thought of as being a circular standing wave instead of a particle moving in quantized circular orbits, Erwin Schrödinger extended de Broglie’s work by deriving what is now known as the Schrödinger equation. When Schrödinger applied his equation to hydrogen-like atoms, he was able to reproduce Bohr’s expression for the energy and, thus, the Rydberg formula governing hydrogen spectra.
42.2K
IR Absorption Frequency: Hybridization01:21

IR Absorption Frequency: Hybridization

681
Hydrocarbons such as alkanes, alkenes, and alkynes show characteristic C–H stretching absorption bands. These IR stretching frequencies depend on the hybridization of the involved carbon atom and can be explained in terms of the s character of each hybridized atomic orbital.
Among the sp, sp2, and sp3 hybridized orbitals, sp orbitals have the maximum s character (50%). Consequently, the electrons are held more closely to the nucleus, resulting in stronger and shorter C–H bonds that...
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Related Experiment Video

Updated: Jun 24, 2025

High Resolution Phonon-assisted Quasi-resonance Fluorescence Spectroscopy
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High Resolution Phonon-assisted Quasi-resonance Fluorescence Spectroscopy

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Studying phonon coherence with a quantum sensor.

Agnetta Y Cleland1, E Alex Wollack1, Amir H Safavi-Naeini2

  • 1Department of Applied Physics and Ginzton Laboratory, Stanford University 348 Via Pueblo Mall, Stanford, CA, 94305, USA.

Nature Communications
|June 11, 2024
PubMed
Summary
This summary is machine-generated.

Superconducting qubits precisely measure quantum decoherence in nanomechanical oscillators. This study reveals how two-level system defects impact quantum states, offering insights for quantum technology development.

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Area of Science:

  • Quantum technologies
  • Nanomechanical systems
  • Superconducting circuits

Background:

  • Nanomechanical oscillators are crucial for quantum technologies, especially when coupled with superconducting qubits for quantum error correction.
  • Mechanical decoherence, particularly from two-level system (TLS) defects, limits the performance of these systems.
  • TLS defects have been traditionally studied using classical methods, limiting quantum regime insights.

Purpose of the Study:

  • To utilize a superconducting qubit as a quantum sensor for high-resolution phonon number-resolved measurements.
  • To investigate mechanical dissipation and dephasing in variable-sized coherent states within a phononic crystal cavity.
  • To elucidate the role of TLS defects in quantum decoherence of mechanical oscillators.

Main Methods:

  • Employing a superconducting qubit as a quantum sensor.
  • Performing phonon number-resolved measurements on a piezoelectrically coupled phononic crystal cavity.
  • Utilizing a numerical model to simulate TLS interactions and decoherence.

Main Results:

  • Observed nonexponential relaxation dynamics in mechanical coherent states.
  • Detected a state size-dependent reduction in the dephasing rate, attributed to TLS.
  • Successfully reproduced dissipation signatures using a numerical model with a small ensemble of rapidly dephasing TLS.

Conclusions:

  • TLS defects significantly contribute to phonon decoherence in the quantum regime.
  • The study provides a detailed examination of TLS-induced decoherence mechanisms.
  • Findings offer critical insights for mitigating decoherence in quantum hardware.