Pump Pulse Difference Solution

STEP 0: Pre-Calculation Summary
Formula Used
Pump Pulse Difference = (3*(pi^2)*Dipole Dipole Interaction for Exciton)/((Exciton Delocalization Length+1)^2)
Δω = (3*(pi^2)*Ve)/((Ne+1)^2)
This formula uses 1 Constants, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Pump Pulse Difference - Pump Pulse Difference is the difference between pump-pulse induced bleach (ground state to one-exciton transition) and pump-pulse induced absorption (one-exciton to two-exciton transition) maxima.
Dipole Dipole Interaction for Exciton - (Measured in Newton) - Dipole Dipole Interaction for Exciton when two dipolar molecules interact with each other through space.
Exciton Delocalization Length - (Measured in Meter) - Exciton Delocalization Length is a measure of the distance over which an exciton can be spread out in a material.
STEP 1: Convert Input(s) to Base Unit
Dipole Dipole Interaction for Exciton: 7 Newton --> 7 Newton No Conversion Required
Exciton Delocalization Length: 0.006 Meter --> 0.006 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Δω = (3*(pi^2)*Ve)/((Ne+1)^2) --> (3*(pi^2)*7)/((0.006+1)^2)
Evaluating ... ...
Δω = 204.796758635934
STEP 3: Convert Result to Output's Unit
204.796758635934 --> No Conversion Required
FINAL ANSWER
204.796758635934 204.7968 <-- Pump Pulse Difference
(Calculation completed in 00.004 seconds)

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Created by Sangita Kalita
National Institute of Technology, Manipur (NIT Manipur), Imphal, Manipur
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20 Femtochemistry Calculators

Observed Lifetime Given Quenching Time
​ Go Observed Lifetime = ((Self Quenching Time*Quenching Time)+(Radiative Lifetime*Quenching Time)+(Self Quenching Time*Radiative Lifetime))/(Radiative Lifetime*Self Quenching Time*Quenching Time)
Observed Lifetime Given Reduced Mass
​ Go Observed Lifetime = sqrt((Reduced Mass of Fragments*[BoltZ]*Temperature for Quenching)/(8*pi))/(Pressure for Quenching*Cross Section Area for Quenching)
Field Strength for Barrier Suppression Ionization
​ Go Field Strength for Barrier Suppression Ionization = (([Permitivity-vacuum]^2)*([hP]^2)*(Ionization Potential Barrier Suppression^2))/(([Charge-e]^3)*[Mass-e]*[Bohr-r]*Final Charge)
Spectral Chirp
​ Go Spectral Chirp = (4*Temporal Chirp*(Pulse Duration^4))/((16*(ln(2)^2))+((Temporal Chirp^2)*(Pulse Duration^4)))
Mean Free Tunneling Time for Electron
​ Go Mean Free Tunneling Time = (sqrt(Ionization Potential Barrier Suppression/(2*[Mass-e])))/Field Strength for Barrier Suppression Ionization
Velocity for Delayed Coherence in Photodissociation
​ Go Velocity for Delayed Coherence = sqrt((2*(Binding Potential-Potential Energy of Repulsing Term))/Reduced Mass for Delayed Coherence)
Potential for Exponential Repulsion
​ Go Potential For Exponential Repulsion = Energy FTS*(sech((Speed FTS*Time FTS)/(2*Length Scale FTS)))^2
Bond Breakage Time
​ Go Bond Breakage Time = (Length Scale FTS/Speed FTS)*ln((4*Energy FTS)/Bond Breakage Time Pulse Width)
Analysis of Anisotropy
​ Go Analysis of Anisotropy = ((cos(Angle Between Transition Dipole Moments)^2)+3)/(10*cos(Angle Between Transition Dipole Moments))
Anisotropy Decay Behavior
​ Go Anisotropy Decay = (Parallel Transient-Perpendicular Transient)/(Parallel Transient+(2*Perpendicular Transient))
Relationship between Pulse Intensity and Electric Field Strength
​ Go Electric Field Strength for Ultrafast Radiation = sqrt((2*Intensity of Laser)/([Permitivity-vacuum]*[c]))
Gaussian-Like Pulse
​ Go Gaussian Like Pulse = sin((pi*Time FTS)/(2*Half Width of Pulse))^2
Mean Electron Velocity
​ Go Mean Electron Velocity = sqrt((2*Ionization Potential Barrier Suppression)/[Mass-e])
Pump Pulse Difference
​ Go Pump Pulse Difference = (3*(pi^2)*Dipole Dipole Interaction for Exciton)/((Exciton Delocalization Length+1)^2)
Classical Analysis of Fluorescence Anisotropy
​ Go Classical Analysis of Fluorescence Anisotropy = (3*(cos(Angle Between Transition Dipole Moments)^2)-1)/5
Transit Time from Center of Sphere
​ Go Transit Time = (Radius of Sphere for Transit^2)/((pi^2)*Diffusion Coefficient for Transit)
Carrier Wavelength
​ Go Carrier Wavelength = (2*pi*[c])/Carrier Light Frequency
Recoil Energy for Bond Breaking
​ Go Energy FTS = (1/2)*Reduced Mass of Fragments*(Speed FTS^2)
Frequency Modulation
​ Go Frequency Modulation = (1/2)*Temporal Chirp*(Time FTS^2)
Mean Free Tunneling Time Given Velocity
​ Go Mean Free Tunneling Time = 1/Mean Electron Velocity

Pump Pulse Difference Formula

Pump Pulse Difference = (3*(pi^2)*Dipole Dipole Interaction for Exciton)/((Exciton Delocalization Length+1)^2)
Δω = (3*(pi^2)*Ve)/((Ne+1)^2)

What is femtochemistry?

Femtochemistry is the area of physical chemistry that studies chemical reactions on extremely short timescales (approximately 10 seconds or one femtosecond, hence the name) in order to study the very act of atoms within molecules (reactants) rearranging themselves to form new molecules (products).

How to Calculate Pump Pulse Difference?

Pump Pulse Difference calculator uses Pump Pulse Difference = (3*(pi^2)*Dipole Dipole Interaction for Exciton)/((Exciton Delocalization Length+1)^2) to calculate the Pump Pulse Difference, Pump Pulse Difference formula is defined as the difference between pump-pulse induced bleach (ground state to one-exciton transition) and pump-pulse induced absorption (one-exciton to two-exciton transition) maxima. Pump Pulse Difference is denoted by Δω symbol.

How to calculate Pump Pulse Difference using this online calculator? To use this online calculator for Pump Pulse Difference, enter Dipole Dipole Interaction for Exciton (Ve) & Exciton Delocalization Length (Ne) and hit the calculate button. Here is how the Pump Pulse Difference calculation can be explained with given input values -> 204.7968 = (3*(pi^2)*7)/((0.006+1)^2).

FAQ

What is Pump Pulse Difference?
Pump Pulse Difference formula is defined as the difference between pump-pulse induced bleach (ground state to one-exciton transition) and pump-pulse induced absorption (one-exciton to two-exciton transition) maxima and is represented as Δω = (3*(pi^2)*Ve)/((Ne+1)^2) or Pump Pulse Difference = (3*(pi^2)*Dipole Dipole Interaction for Exciton)/((Exciton Delocalization Length+1)^2). Dipole Dipole Interaction for Exciton when two dipolar molecules interact with each other through space & Exciton Delocalization Length is a measure of the distance over which an exciton can be spread out in a material.
How to calculate Pump Pulse Difference?
Pump Pulse Difference formula is defined as the difference between pump-pulse induced bleach (ground state to one-exciton transition) and pump-pulse induced absorption (one-exciton to two-exciton transition) maxima is calculated using Pump Pulse Difference = (3*(pi^2)*Dipole Dipole Interaction for Exciton)/((Exciton Delocalization Length+1)^2). To calculate Pump Pulse Difference, you need Dipole Dipole Interaction for Exciton (Ve) & Exciton Delocalization Length (Ne). With our tool, you need to enter the respective value for Dipole Dipole Interaction for Exciton & Exciton Delocalization Length 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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