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Related Concept Videos

Energy Associated With a Charge Distribution01:21

Energy Associated With a Charge Distribution

The work done to bring a charge through a distance r is given by the potential difference between the initial and the final position. To assemble a collection of point charges, the total work done can be expressed in terms of the product of each pair of charges divided by their separation distance, defined with respect to a suitable origin. Solving this expression gives the energy stored in a point charge distribution.
Insensitive Nuclei Enhanced by Polarization Transfer (INEPT)01:15

Insensitive Nuclei Enhanced by Polarization Transfer (INEPT)

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...
Proton (¹H) NMR: Chemical Shift01:07

Proton (¹H) NMR: Chemical Shift

Organic molecules primarily contain carbon and hydrogen atoms. While all the hydrogen isotopes are NMR-active, protium or hydrogen-1 is the most abundant. It has a significant energy separation between its nuclear spin states due to its large gyromagnetic ratio. As per Boltzmann's distribution, an increase in the energy separation implies a greater excess population of nuclei available for excitation, resulting in a strong NMR absorption signal.
Absorption signals of all the protium nuclei in a...
The Energies of Atomic Orbitals03:21

The Energies of Atomic Orbitals

In an atom, the negatively charged electrons are attracted to the positively charged nucleus. In a multielectron atom, electron-electron repulsions are also observed. The attractive and repulsive forces are dependent on the distance between the particles, as well as the sign and magnitude of the charges on the individual particles. When the charges on the particles are opposite, they attract each other. If both particles have the same charge, they repel each other.
Interpreting ¹H NMR Signal Splitting: The (n + 1) Rule01:10

Interpreting ¹H NMR Signal Splitting: The (n + 1) Rule

In the AX proton spin system, proton A can sense the two spin states of a coupled proton X, resulting in a doublet NMR signal with two peaks of equal (1:1) intensity. When proton A is coupled to two equivalent protons (AX2 spin system), the spin states of each X can be aligned with or against the external field, creating three possible scenarios. This results in a 1:2:1  triplet signal, where the central peak corresponds to the chemical shift of A and is twice as large or intense as the others.
π Electron Effects on Chemical Shift: Overview01:27

π Electron Effects on Chemical Shift: Overview

An applied magnetic field causes loosely bound π-electrons in organic molecules to circulate, producing a local or induced diamagnetic field over a large spatial volume. As the molecules tumble in solution, the field generated by π-electrons in spherical substituents results in a zero net field. However, the net field generated by π-electrons in non-spherical substituents is not zero. The effect of this induced field depends on the orientation of the molecule with respect to B0, resulting in...

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Related Experiment Video

Updated: Jun 2, 2026

Spatial Separation of Molecular Conformers and Clusters
10:37

Spatial Separation of Molecular Conformers and Clusters

Published on: January 9, 2014

Linear energy transfer of proton clusters.

E Fourkal1, I Velchev, C-M Ma

  • 1Department of Radiation Oncology, Fox Chase Cancer Center, Philadelphia, PA 19111, USA. eugene.fourkal@fccc.edu

Physics in Medicine and Biology
|April 28, 2011
PubMed
Summary
This summary is machine-generated.

Laser-accelerated protons form dense bunches, enhancing their interaction with matter. This collective effect, unlike single protons, can significantly increase energy deposition and radiobiological effectiveness, opening new research avenues.

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Area of Science:

  • Physics
  • Particle Acceleration
  • Radiobiology

Background:

  • Conventional accelerators produce sparse proton pulses, with interactions dominated by single particles.
  • Laser-plasma interactions generate ultra-short proton bunches with extremely short inter-particle distances.

Purpose of the Study:

  • To investigate the collective effects of laser-accelerated proton bunches on matter.
  • To explore the potential for enhanced radiobiological effectiveness due to proton clustering.

Main Methods:

  • Theoretical analysis of proton bunch dynamics in a medium.
  • Comparison of stopping power for clustered versus sparse proton distributions.
  • Identification of conditions for observing collective effects.

Main Results:

  • Proton clusters exhibit increased linear stopping power compared to sparse protons.
  • Stopping power enhancement is significant when inter-proton distance is below a critical threshold related to medium properties.
  • Collective effects can lead to elevated radiobiological effectiveness.

Conclusions:

  • Laser-accelerated proton bunches possess unique properties due to short inter-particle distances.
  • Collective interactions within proton clusters can significantly alter energy deposition in biological tissues.
  • Experimental observation of enhanced radiobiological effectiveness is feasible under specific conditions.