Spectral Chirp Calculator

Chemistry Engineering Financial Health More >>

↳

Femtochemistry Analytical chemistry Atmospheric Chemistry Atomic structure More >>

✖Temporal Chirp is a parameter governing the rate of phase modulation.ⓘ Temporal Chirp [γ]			+10% -10%
✖Pulse Duration is the interval between the time, during the first transition and the last transition.ⓘ Pulse Duration [ζ_sp]			+10% -10%

✖The Spectral Chirp pulse describes its characteristics in terms of its frequency components.ⓘ Spectral Chirp [β]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Chemistry Formula PDF PDF Image

Spectral Chirp Solution

STEP 0: Pre-Calculation Summary

Formula Used

Spectral Chirp = (4*Temporal Chirp*(Pulse Duration^4))/((16*(ln(2)^2))+((Temporal Chirp^2)*(Pulse Duration^4)))
β = (4*γ*(ζ_sp^4))/((16*(ln(2)^2))+((γ^2)*(ζ_sp^4)))
This formula uses 1 Functions, 3 Variables

Functions Used

ln - The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function., ln(Number)

Variables Used

Spectral Chirp - The Spectral Chirp pulse describes its characteristics in terms of its frequency components.
Temporal Chirp - Temporal Chirp is a parameter governing the rate of phase modulation.
Pulse Duration - (Measured in Femtosecond) - Pulse Duration is the interval between the time, during the first transition and the last transition.

STEP 1: Convert Input(s) to Base Unit

Temporal Chirp: 17 --> No Conversion Required
Pulse Duration: 50 Femtosecond --> 50 Femtosecond No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

β = (4*γ*(ζ_sp^4))/((16*(ln(2)^2))+((γ^2)*(ζ_sp^4))) --> (4*17*(50^4))/((16*(ln(2)^2))+((17^2)*(50^4)))

Evaluating ... ...

β = 0.235294116645667

STEP 3: Convert Result to Output's Unit

0.235294116645667 --> No Conversion Required

FINAL ANSWER

0.235294116645667 ≈ 0.235294 <-- Spectral Chirp

(Calculation completed in 00.004 seconds)

You are here -

Home » Chemistry » Femtochemistry » Spectral Chirp

Credits

Created by Sangita Kalita

National Institute of Technology, Manipur (NIT Manipur), Imphal, Manipur

Sangita Kalita has created this Calculator and 50+ more calculators!

Verified by Soupayan banerjee

National University of Judicial Science (NUJS), Kolkata

Soupayan banerjee has verified this Calculator and 900+ more calculators!

< Femtochemistry Calculators

Observed Lifetime Given Reduced Mass

LaTeX Go Observed Lifetime = sqrt((Reduced Mass of Fragments*[BoltZ]*Temperature for Quenching)/(8*pi))/(Pressure for Quenching*Cross Section Area for Quenching)

Potential for Exponential Repulsion

LaTeX Go Potential For Exponential Repulsion = Energy FTS*(sech((Speed FTS*Time FTS)/(2*Length Scale FTS)))^2

Bond Breakage Time

LaTeX Go Bond Breakage Time = (Length Scale FTS/Speed FTS)*ln((4*Energy FTS)/Bond Breakage Time Pulse Width)

Recoil Energy for Bond Breaking

LaTeX Go Energy FTS = (1/2)*Reduced Mass of Fragments*(Speed FTS^2)

Spectral Chirp Formula

LaTeX Go

Spectral Chirp = (4*Temporal Chirp*(Pulse Duration^4))/((16*(ln(2)^2))+((Temporal Chirp^2)*(Pulse Duration^4)))
β = (4*γ*(ζ_sp^4))/((16*(ln(2)^2))+((γ^2)*(ζ_sp^4)))

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 Spectral Chirp?

Spectral Chirp calculator uses Spectral Chirp = (4*Temporal Chirp*(Pulse Duration^4))/((16*(ln(2)^2))+((Temporal Chirp^2)*(Pulse Duration^4))) to calculate the Spectral Chirp, The Spectral Chirp formula is defined as its characteristics in terms of its frequency components. This frequency-domain representation is an alternative to the more familiar time-domain waveform. Spectral Chirp is denoted by β symbol.

How to calculate Spectral Chirp using this online calculator? To use this online calculator for Spectral Chirp, enter Temporal Chirp (γ) & Pulse Duration (ζ_sp) and hit the calculate button. Here is how the Spectral Chirp calculation can be explained with given input values -> 0.235294 = (4*17*(5E-14^4))/((16*(ln(2)^2))+((17^2)*(5E-14^4))).

FAQ

What is Spectral Chirp?

The Spectral Chirp formula is defined as its characteristics in terms of its frequency components. This frequency-domain representation is an alternative to the more familiar time-domain waveform and is represented as β = (4*γ*(ζ_sp^4))/((16*(ln(2)^2))+((γ^2)*(ζ_sp^4))) or Spectral Chirp = (4*Temporal Chirp*(Pulse Duration^4))/((16*(ln(2)^2))+((Temporal Chirp^2)*(Pulse Duration^4))). Temporal Chirp is a parameter governing the rate of phase modulation & Pulse Duration is the interval between the time, during the first transition and the last transition.

How to calculate Spectral Chirp?

The Spectral Chirp formula is defined as its characteristics in terms of its frequency components. This frequency-domain representation is an alternative to the more familiar time-domain waveform is calculated using Spectral Chirp = (4*Temporal Chirp*(Pulse Duration^4))/((16*(ln(2)^2))+((Temporal Chirp^2)*(Pulse Duration^4))). To calculate Spectral Chirp, you need Temporal Chirp (γ) & Pulse Duration (ζ_sp). With our tool, you need to enter the respective value for Temporal Chirp & Pulse Duration and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search