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Related Concept Videos

Standing Waves01:17

Standing Waves

Sometimes waves do not seem to move; rather, they just vibrate in place. Unmoving waves can be seen on the surface of a glass of milk kept in a refrigerator, which is one example of standing waves. Vibrations from the refrigerator motor create waves on the milk that oscillate up and down but do not seem to move across the surface. These waves are formed or created by the superposition of two or more identical moving waves in opposite directions. The waves move through each other, with their...
Modes of Standing Waves - I01:03

Modes of Standing Waves - I

A close look at earthquakes provides evidence for the conditions appropriate for resonance, standing waves, and constructive and destructive interference. A building may vibrate for several seconds with a driving frequency matching the building's natural frequency of vibration; this produces a resonance that results in one building collapsing while the neighboring buildings do not. Often, buildings of a certain height are devastated, while other taller buildings remain intact. This phenomenon...
Equations of Wave Motion01:02

Equations of Wave Motion

Mathematically, the motion of a wave can be studied using a wavefunction. Consider a string oscillating up and down in simple harmonic motion, having a period T. The wave on the string is sinusoidal and is translated in the positive x-direction as time progresses. Sine is a function of the angle θ, oscillating between +A and −A and repeating every 2π radians. To construct a wave model, the ratio of the angle θ and the position x is considered.
Propagation of Waves01:07

Propagation of Waves

When a wave propagates from one medium to another, part of it may get reflected in the first medium, and part of it may get transmitted to the second medium. In such a case, the interface of the two mediums can be considered as a boundary that is neither fixed nor free.
Consider a scenario where a wave propagates from a string of low linear mass density to a string of high linear mass density. In such a case, the reflected wave is out of phase with respect to the incident wave, however the...
Wave Parameters01:10

Wave Parameters

The simplest mechanical waves are associated with simple harmonic motion and repeat themselves for several cycles. These simple harmonic waves can be modeled using a combination of sine and cosine functions. Consider a simplified surface water wave that moves across the water's surface. Unlike complex ocean waves, in surface water waves, water moves vertically, oscillating up and down, whereas the disturbance of the wave moves horizontally through the medium. If a seagull is floating on the...
Modes of Standing Waves: II01:04

Modes of Standing Waves: II

The starting point for expressing the modes of standing waves is understanding the boundary conditions that the waves must follow. The boundary conditions are derived from the physical understanding of how the standing waves are sustained, that is, how the vibrating particles of the medium behave at the boundaries imposed on them.
For a tube open at one end and closed at the other filled with air, the modes are such that there is always an antinode at the open end and a node at the closed end.

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Related Experiment Video

Updated: May 18, 2026

Direct Imaging of Laser-driven Ultrafast Molecular Rotation
10:52

Direct Imaging of Laser-driven Ultrafast Molecular Rotation

Published on: February 4, 2017

Oriented rotational wave-packet dynamics studies via high harmonic generation.

E Frumker1, C T Hebeisen, N Kajumba

  • 1Joint Attosecond Science Laboratory, University of Ottawa and National Research Council of Canada, 100 Sussex Drive, Ottawa, ON K1A 0R6, Canada.

Physical Review Letters
|September 26, 2012
PubMed
Summary
This summary is machine-generated.

Researchers created oriented rotational wave packets in carbon monoxide (CO) molecules using intense laser pulses. They observed even-order high harmonic generation, revealing preferential ionization as the mechanism for molecular orientation.

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Area of Science:

  • Quantum dynamics
  • Molecular physics
  • Attosecond science

Background:

  • High harmonic generation (HHG) is a key process for producing ultrashort light pulses.
  • Controlling molecular orientation is crucial for studying ultrafast dynamics and chemical reactions.
  • Previous methods for molecular orientation have limitations in efficiency and temporal control.

Purpose of the Study:

  • To generate and characterize oriented rotational wave packets in carbon monoxide (CO) molecules.
  • To investigate the mechanism responsible for inducing molecular orientation.
  • To utilize high harmonic generation as a probe for ultrafast molecular dynamics.

Main Methods:

  • Creation of oriented rotational wave packets using a femtosecond laser pulse and its second harmonic.
  • Probing the wave packet dynamics with a delayed 800 nm pulse.
  • Detection of even-order high harmonics generated via high harmonic generation (HHG).

Main Results:

  • Successfully produced oriented rotational wave packets in CO molecules.
  • Observed even-order high harmonic generation, indicating broken symmetry due to orientation.
  • Demonstrated zero-background detection of even harmonics, allowing accurate temporal tracking.
  • Identified preferential ionization as the dominant mechanism for molecular orientation under optimal HHG conditions.

Conclusions:

  • Femtosecond laser-driven orientation of molecular wave packets is achievable in CO.
  • Even-order harmonic generation serves as a sensitive probe for molecular orientation dynamics.
  • Preferential ionization plays a critical role in establishing molecular alignment for HHG.