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Related Concept Videos

First-Order Circuits01:15

First-Order Circuits

First-order electrical circuits, which comprise resistors and a single energy storage element - either a capacitor or an inductor, are fundamental to many electronic systems. These circuits are governed by a first-order differential equation that describes the relationship between input and output signals.
One common example of a first-order circuit is the RC (resistor-capacitor) circuit. These circuits are used in relaxation oscillators such as neon lamp oscillator circuits. When voltage is...
RL Circuit without Source01:14

RL Circuit without Source

When a DC source is suddenly disconnected from an RL (Resistor-Inductor) circuit, the circuit becomes source-free. Assuming the inductor has an initial current denoted as I0, the initial energy stored in the inductor can be determined.
Applying Kirchhoff's voltage law around the loop of the circuit and substituting the voltages across the inductor and resistor yields a first-order differential equation. A logarithmic equation is obtained by rearranging the terms in this equation, integrating...
RC Circuit without Source01:16

RC Circuit without Source

When a DC source is abruptly disconnected from an RC (Resistor-Capacitor) circuit, the circuit becomes source-free. Assuming that the capacitor was fully charged before the source was removed, its initial voltage, denoted as V0, can be considered as the initial energy that stimulates the circuit.
Applying Kirchhoff's current law at the top node of the circuit and substituting the current values across the components, a first-order differential equation is obtained. By rearranging the terms in...
LC Circuits01:21

LC Circuits

An LC circuit consists of an inductor and a capacitor, either in series or parallel. Consider a charged capacitor connected with an inductor in series. Before the switch is closed, all the energy of the circuit is stored in the electric field of the capacitor. When the switch is closed, the capacitor begins to discharge, producing a current in the circuit. The current, in turn, creates a magnetic field in the inductor. Because of the induced emf in the inductor, the current cannot change...
Current Growth And Decay In RL Circuits01:30

Current Growth And Decay In RL Circuits

The current growth and decay in RL circuits can be understood by considering a series RL circuit consisting of a resistor, an inductor, a constant source of emf, and two switches. When the first switch is closed, the circuit is equivalent to a single-loop circuit consisting of a resistor and an inductor connected to a source of emf. In this case, the source of emf produces a current in the circuit. If there were no self-inductance in the circuit, the current would rise immediately to a steady...
Parallel RLC Circuits01:14

Parallel RLC Circuits

Street lamps equipped with RLC surge protectors are an excellent example of applying circuit analysis in practical scenarios. These surge protectors safeguard the lamp's components against sudden voltage spikes.
A simplified parallel RLC circuit model with a DC input source generating a step response is employed in this context. When the switch is turned on, Kirchhoff's current law is applied, leading to a second-order differential equation.

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Related Experiment Video

Updated: Jul 7, 2026

All-electronic Nanosecond-resolved Scanning Tunneling Microscopy: Facilitating the Investigation of Single Dopant Charge Dynamics
11:33

All-electronic Nanosecond-resolved Scanning Tunneling Microscopy: Facilitating the Investigation of Single Dopant Charge Dynamics

Published on: January 19, 2018

Electronic stopping power in LiF from first principles.

J M Pruneda1, D Sánchez-Portal, A Arnau

  • 1Instituto de Ciencia de Materiales de Barcelona (ICMAB-CSIC) Campus de Bellaterra, 08193 Barcelona, Spain.

Physical Review Letters
|February 1, 2008
PubMed
Summary

We calculated energy transfer from protons and antiprotons to LiF electrons. Results show an effective threshold velocity and a stopping-power ratio of 2.4, closely matching experimental data.

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Area of Science:

  • Condensed matter physics
  • Materials science
  • Computational physics

Background:

  • Understanding energy transfer from charged particles to materials is crucial for various applications, including radiation detection and materials modification.
  • Electronic stopping power is a key parameter describing energy loss in materials.
  • Previous studies have explored stopping power, but detailed comparisons between proton and antiproton interactions in insulators are limited.

Purpose of the Study:

  • To calculate the electronic stopping power for protons and antiprotons in Lithium Fluoride (LiF) using first-principles methods.
  • To investigate the velocity dependence of energy transfer and identify any threshold velocities.
  • To determine the proton/antiproton stopping-power ratio and compare it with experimental findings.

Main Methods:

  • Utilizing time-dependent density-functional theory (TD-DFT) for accurate electronic structure calculations.
  • Performing first-principles simulations to model the interaction of moving protons and antiprotons with LiF electrons.
  • Analyzing the projectile velocity dependence of the calculated electronic stopping power.

Main Results:

  • An effective threshold velocity of approximately 0.2 atomic units (a.u.) was identified for both proton and antiproton energy transfer.
  • The calculated proton/antiproton stopping-power ratio was found to be approximately 2.4 at velocities slightly above the threshold (v ≈ 0.4 a.u.).
  • The energy loss mechanism was observed to be highly localized.

Conclusions:

  • The theoretical calculations align well with recent experimental observations for proton and antiproton stopping power in LiF.
  • The study confirms the existence of a threshold velocity for significant energy transfer.
  • The localized nature of projectile energy loss provides insights into the fundamental interaction mechanisms at the electronic level.