Spectral Chirp Calculator

✖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]

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Formula

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Spectral Chirp

Formula

`"β" = (4*"γ"*("ζ"_{"sp"}^4))/((16*(ln(2)^2))+(("γ"^2)*("ζ"_{"sp"}^4)))`

Example

`"0.235294"=(4*"17"*(("50fs")^4))/((16*(ln(2)^2))+((("17")^2)*(("50fs")^4)))`

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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 00.020 seconds)

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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

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< 20 Femtochemistry Calculators

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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

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Go Mean Electron Velocity = sqrt((2*Ionization Potential Barrier Suppression)/[Mass-e])

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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

Spectral Chirp Formula

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.

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