Restoring Force of Diatomic Vibrating Molecule Solution

STEP 0: Pre-Calculation Summary
Formula Used
Restoring Force of Vibrating Diatomic Molecule = -(Force Constant of Vibrating Molecule*Displacement of Vibrating Atoms)
F = -(k*x)
This formula uses 3 Variables
Variables Used
Restoring Force of Vibrating Diatomic Molecule - (Measured in Newton) - Restoring Force of Vibrating Diatomic Molecule is the restoring force which is proportional to the displacement from the equilibrium length.
Force Constant of Vibrating Molecule - (Measured in Newton per Meter) - Force Constant of Vibrating Molecule reflects the stiffness or the rigidity of the bond between the vibrating atoms.
Displacement of Vibrating Atoms - (Measured in Meter) - Displacement of Vibrating Atoms is the distance covered by the atom during its vibration from its mean position to another extreme.
STEP 1: Convert Input(s) to Base Unit
Force Constant of Vibrating Molecule: 100 Newton per Meter --> 100 Newton per Meter No Conversion Required
Displacement of Vibrating Atoms: 0.1 Meter --> 0.1 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
F = -(k*x) --> -(100*0.1)
Evaluating ... ...
F = -10
STEP 3: Convert Result to Output's Unit
-10 Newton --> No Conversion Required
FINAL ANSWER
-10 Newton <-- Restoring Force of Vibrating Diatomic Molecule
(Calculation completed in 00.004 seconds)

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University of Calcutta (C.U), Kolkata
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8 Simple Harmonic Oscillator Calculators

Energy Eigen Values for 3D SHO
​ Go Energy Eigen Values of 3D SHO = (Energy Levels of 3D Oscillator along X axis+Energy Levels of 3D Oscillator along Y axis+Energy Levels of 3D Oscillator along Z axis+1.5)*[h-]*Angular Frequency of Oscillator
Energy Eigen Values for 2D SHO
​ Go Energy Eigen Values of 2D SHO = (Energy Levels of 2D Oscillator along X axis+Energy Levels of 2D Oscillator along Y axis+1)*[h-]*Angular Frequency of Oscillator
Energy Eigen Values for 1D SHO
​ Go Energy Eigen Values of 1D SHO = (Energy Levels of 1D Oscillator+0.5)*([h-])*(Angular Frequency of Oscillator)
Restoring Force of Diatomic Vibrating Molecule
​ Go Restoring Force of Vibrating Diatomic Molecule = -(Force Constant of Vibrating Molecule*Displacement of Vibrating Atoms)
Potential Energy of Vibrating Atom
​ Go Potential Energy of Vibrating Atom = 0.5*(Force Constant of Vibrating Molecule*(Displacement of Vibrating Atoms)^2)
Zero Point Energy of Particle in 2D SHO
​ Go Zero Point Energy of Particle in 2D SHO = [h-]*Angular Frequency of Oscillator
Zero Point Energy of Particle in 1D SHO
​ Go Zero Point Energy of 1D SHO = 0.5*[h-]*Angular Frequency of Oscillator
Zero Point Energy of Particle in 3D SHO
​ Go Zero Point Energy of 3D SHO = 1.5*[h-]*Angular Frequency of Oscillator

Restoring Force of Diatomic Vibrating Molecule Formula

Restoring Force of Vibrating Diatomic Molecule = -(Force Constant of Vibrating Molecule*Displacement of Vibrating Atoms)
F = -(k*x)

What is the relation between the vibration of atoms with the Hooke' s Law ?

The idea incorporated into the application of Hooke's Law to a diatomic molecule is that when the atoms move away from their equilibrium positions, a restoring force is produced that increases proportionally with the displacement from equilibrium.

How to Calculate Restoring Force of Diatomic Vibrating Molecule?

Restoring Force of Diatomic Vibrating Molecule calculator uses Restoring Force of Vibrating Diatomic Molecule = -(Force Constant of Vibrating Molecule*Displacement of Vibrating Atoms) to calculate the Restoring Force of Vibrating Diatomic Molecule, The Restoring Force of Diatomic Vibrating Molecule formula is defined as the product of the force constant of the vibrating molecule with the displacement of the atoms vibrating from mean position. Restoring Force of Vibrating Diatomic Molecule is denoted by F symbol.

How to calculate Restoring Force of Diatomic Vibrating Molecule using this online calculator? To use this online calculator for Restoring Force of Diatomic Vibrating Molecule, enter Force Constant of Vibrating Molecule (k) & Displacement of Vibrating Atoms (x) and hit the calculate button. Here is how the Restoring Force of Diatomic Vibrating Molecule calculation can be explained with given input values -> -10 = -(100*0.1).

FAQ

What is Restoring Force of Diatomic Vibrating Molecule?
The Restoring Force of Diatomic Vibrating Molecule formula is defined as the product of the force constant of the vibrating molecule with the displacement of the atoms vibrating from mean position and is represented as F = -(k*x) or Restoring Force of Vibrating Diatomic Molecule = -(Force Constant of Vibrating Molecule*Displacement of Vibrating Atoms). Force Constant of Vibrating Molecule reflects the stiffness or the rigidity of the bond between the vibrating atoms & Displacement of Vibrating Atoms is the distance covered by the atom during its vibration from its mean position to another extreme.
How to calculate Restoring Force of Diatomic Vibrating Molecule?
The Restoring Force of Diatomic Vibrating Molecule formula is defined as the product of the force constant of the vibrating molecule with the displacement of the atoms vibrating from mean position is calculated using Restoring Force of Vibrating Diatomic Molecule = -(Force Constant of Vibrating Molecule*Displacement of Vibrating Atoms). To calculate Restoring Force of Diatomic Vibrating Molecule, you need Force Constant of Vibrating Molecule (k) & Displacement of Vibrating Atoms (x). With our tool, you need to enter the respective value for Force Constant of Vibrating Molecule & Displacement of Vibrating Atoms and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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