Frequency Modulation Calculator

✖Temporal Chirp is a parameter governing the rate of phase modulation.ⓘ Temporal Chirp [γ]			+10% -10%
✖Time FTS is duration of things that are subject to change.ⓘ Time FTS [t]			+10% -10%

✖Frequency Modulation is a function for Gaussian pulses that are measured in femtoseconds.ⓘ Frequency Modulation [α_t]

⎘ Copy

👎

Formula

✖

Frequency Modulation

Formula

`"α"_{"t"} = (1/2)*"γ"*("t"^2)`

Example

`"76.5"=(1/2)*"17"*(("3fs")^2)`

Calculator

LaTeX

Reset

👍

Download Chemistry Formula PDF PDF Image

Frequency Modulation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Frequency Modulation = (1/2)*Temporal Chirp*(Time FTS^2)
α_t = (1/2)*γ*(t^2)
This formula uses 3 Variables

Variables Used

Frequency Modulation - Frequency Modulation is a function for Gaussian pulses that are measured in femtoseconds.
Temporal Chirp - Temporal Chirp is a parameter governing the rate of phase modulation.
Time FTS - (Measured in Femtosecond) - Time FTS is duration of things that are subject to change.

STEP 1: Convert Input(s) to Base Unit

Temporal Chirp: 17 --> No Conversion Required
Time FTS: 3 Femtosecond --> 3 Femtosecond No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

α_t = (1/2)*γ*(t^2) --> (1/2)*17*(3^2)

Evaluating ... ...

α_t = 76.5

STEP 3: Convert Result to Output's Unit

76.5 --> No Conversion Required

FINAL ANSWER

76.5 <-- Frequency Modulation

(Calculation completed in 00.004 seconds)

You are here -

Home » Chemistry » Femtochemistry » Frequency Modulation

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 800+ more calculators!

< 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

Frequency Modulation Formula

Frequency Modulation = (1/2)*Temporal Chirp*(Time FTS^2)
α_t = (1/2)*γ*(t^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 Frequency Modulation?

Frequency Modulation calculator uses Frequency Modulation = (1/2)*Temporal Chirp*(Time FTS^2) to calculate the Frequency Modulation, The Frequency Modulation formula is defined as a function for Gaussian pulses that are measured in femtoseconds. It describes the frequency modulation over the pulse duration. Frequency Modulation is denoted by α_t symbol.

How to calculate Frequency Modulation using this online calculator? To use this online calculator for Frequency Modulation, enter Temporal Chirp (γ) & Time FTS (t) and hit the calculate button. Here is how the Frequency Modulation calculation can be explained with given input values -> 76.5 = (1/2)*17*(3E-15^2).

FAQ

What is Frequency Modulation?

The Frequency Modulation formula is defined as a function for Gaussian pulses that are measured in femtoseconds. It describes the frequency modulation over the pulse duration and is represented as α_t = (1/2)*γ*(t^2) or Frequency Modulation = (1/2)*Temporal Chirp*(Time FTS^2). Temporal Chirp is a parameter governing the rate of phase modulation & Time FTS is duration of things that are subject to change.

How to calculate Frequency Modulation?

The Frequency Modulation formula is defined as a function for Gaussian pulses that are measured in femtoseconds. It describes the frequency modulation over the pulse duration is calculated using Frequency Modulation = (1/2)*Temporal Chirp*(Time FTS^2). To calculate Frequency Modulation, you need Temporal Chirp (γ) & Time FTS (t). With our tool, you need to enter the respective value for Temporal Chirp & Time FTS 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