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Related Concept Videos

Support Reactions in Three Dimensions01:27

Support Reactions in Three Dimensions

Support reactions in three dimensions help maintain the stability and equilibrium of various structures and systems. These reactions prevent the system from translating and rotating, ensuring the design can withstand external forces and perform its intended function efficiently and safely. Some of the supports providing support reactions in three dimensions are discussed below:
Ball and Socket Joint is one of the supports allowing free rotation about any axis. This freedom of rotation is...
Central-Force Motion01:17

Central-Force Motion

The central force system operates by exerting a force on an object directed towards a fixed point, typically the origin, with the force magnitude determined by the object's distance from this fixed point. In the context of an object with mass 'm,' polar coordinates are employed to express the equation of motion. Notably, the azimuthal component of force is nonexistent in this system. A comprehensive rewrite and integration of this equation reveal that the product of the squared radial distance...
Frames: Problem Solving I01:24

Frames: Problem Solving I

Consider a jib crane with an external load suspended from the pulley. The dimensions of the crane members are shown in the figure. A systematic analysis of the frame structure is required to determine the reaction forces at the pin joints, assuming that the pulleys are frictionless.
Force01:06

Force

Forces affect every moment of our life. Our bodies are held to the Earth by force, and they are held together by the forces of charged particles. When we open a door, walk down a street, lift a fork, or touch a baby's face, we are applying force. Our body's atoms are held together by electrical forces, and the core of an atom, called the nucleus, is held together by the strongest force known to us—nuclear force.
The study of motion is called kinematics, but kinematics only describes the way...
Static and Kinetic Frictional Force01:05

Static and Kinetic Frictional Force

One of the simpler characteristics of sliding friction is that it is parallel to the contact surfaces between systems, and is always in a direction that opposes the motion or attempted motion of the systems relative to each other. If two systems are in contact and moving relative to one another, then the friction between them is called kinetic friction. For example, kinetic friction slows a hockey puck sliding on ice.
However, if two systems are in contact and are stationary relative to one...
Support Reactions01:30

Support Reactions

A coplanar force system refers to a set of forces that all lie in the same plane and are subject to different reactions between the point of contact and the supports. Understanding how different types of supports affect coplanar forces is crucial for designing safe and reliable structures that can withstand external loads.
The purpose of the supports is to prevent the translational motion of the system by applying an equal and opposite force and to prevent the system's rotation by applying a...

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Related Experiment Video

Updated: May 15, 2026

Investigating Single Molecule Adhesion by Atomic Force Spectroscopy
09:48

Investigating Single Molecule Adhesion by Atomic Force Spectroscopy

Published on: February 27, 2015

Perspectives on the reaction force constant.

Peter Politzer1, Jane S Murray, Pablo Jaque

  • 1Department of Chemistry, University of New Orleans, New Orleans, LA, 70148, USA, ppolitze@uno.edu.

Journal of Molecular Modeling
|January 5, 2013
PubMed
Summary
This summary is machine-generated.

The reaction force constant, κ(R), indicates the extent of nonsynchronicity in chemical reactions. A negative κ(R) throughout the transition region suggests a concerted process, while a maximum κ(R) signals increasing nonsynchronicity.

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Area of Science:

  • Chemical Dynamics
  • Theoretical Chemistry

Background:

  • Chemical reactions can be synchronous (concerted) or nonsynchronous.
  • Understanding the transition region is crucial for characterizing reaction mechanisms.

Purpose of the Study:

  • To rigorously divide chemical processes into distinct regions using reaction force.
  • To investigate the role of the reaction force constant (κ(R)) in determining reaction synchronicity.

Main Methods:

  • Utilizing the reaction force, F(R), defined as the negative gradient of the potential energy V(R).
  • Analyzing the reaction force constant, κ(R), the second derivative of V(R), across different reaction regions.
  • Graphical analysis to correlate κ(R) behavior with process synchronicity.

Main Results:

  • The reaction force constant κ(R) is negative throughout the transition region, not just at the transition state.
  • A maximum in κ(R) within the transition region indicates significant nonsynchronicity.
  • The magnitude of the κ(R) maximum correlates with the degree of nonsynchronicity.

Conclusions:

  • The reaction force constant κ(R) serves as a quantitative indicator of reaction nonsynchronicity.
  • Experimental evidence supports the existence of a transition region rather than a single transition state.
  • The analysis provides a framework for distinguishing concerted from non-concerted chemical processes.