Transit Time from Center of Sphere Solution

STEP 0: Pre-Calculation Summary
Formula Used
Transit Time = (Radius of Sphere for Transit^2)/((pi^2)*Diffusion Coefficient for Transit)
τD = (RD^2)/((pi^2)*DC)
This formula uses 1 Constants, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Transit Time - (Measured in Femtosecond) - Transit Time is the time taken for electron to travel from center of a sphere to the surface.
Radius of Sphere for Transit - (Measured in Meter) - Radius of Sphere for Transit is a straight line from the centre to the circumference of a circle or sphere.
Diffusion Coefficient for Transit - (Measured in Square Millimeter per Second) - Diffusion Coefficient for Transit is the proportionality constant between the molar flux due to molecular diffusion and the negative value of the gradient in the concentration of the species.
STEP 1: Convert Input(s) to Base Unit
Radius of Sphere for Transit: 0.1 Meter --> 0.1 Meter No Conversion Required
Diffusion Coefficient for Transit: 16 Square Millimeter per Second --> 16 Square Millimeter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
τD = (RD^2)/((pi^2)*DC) --> (0.1^2)/((pi^2)*16)
Evaluating ... ...
τD = 6.33257397764611E-05
STEP 3: Convert Result to Output's Unit
6.33257397764611E-20 Second -->6.33257397764611E-05 Femtosecond (Check conversion ​here)
FINAL ANSWER
6.33257397764611E-05 6.3E-5 Femtosecond <-- Transit Time
(Calculation completed in 00.020 seconds)

Credits

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Created by Sangita Kalita
National Institute of Technology, Manipur (NIT Manipur), Imphal, Manipur
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National University of Judicial Science (NUJS), Kolkata
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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

Transit Time from Center of Sphere Formula

Transit Time = (Radius of Sphere for Transit^2)/((pi^2)*Diffusion Coefficient for Transit)
τD = (RD^2)/((pi^2)*DC)

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 Transit Time from Center of Sphere?

Transit Time from Center of Sphere calculator uses Transit Time = (Radius of Sphere for Transit^2)/((pi^2)*Diffusion Coefficient for Transit) to calculate the Transit Time, The Transit Time from Center of Sphere formula is defined as time taken for electron to move from center of sphere to surface, taking into account the bulk electron diffusion coefficients. Transit Time is denoted by τD symbol.

How to calculate Transit Time from Center of Sphere using this online calculator? To use this online calculator for Transit Time from Center of Sphere, enter Radius of Sphere for Transit (RD) & Diffusion Coefficient for Transit (DC) and hit the calculate button. Here is how the Transit Time from Center of Sphere calculation can be explained with given input values -> 6.3E+10 = (0.1^2)/((pi^2)*1.6E-05).

FAQ

What is Transit Time from Center of Sphere?
The Transit Time from Center of Sphere formula is defined as time taken for electron to move from center of sphere to surface, taking into account the bulk electron diffusion coefficients and is represented as τD = (RD^2)/((pi^2)*DC) or Transit Time = (Radius of Sphere for Transit^2)/((pi^2)*Diffusion Coefficient for Transit). Radius of Sphere for Transit is a straight line from the centre to the circumference of a circle or sphere & Diffusion Coefficient for Transit is the proportionality constant between the molar flux due to molecular diffusion and the negative value of the gradient in the concentration of the species.
How to calculate Transit Time from Center of Sphere?
The Transit Time from Center of Sphere formula is defined as time taken for electron to move from center of sphere to surface, taking into account the bulk electron diffusion coefficients is calculated using Transit Time = (Radius of Sphere for Transit^2)/((pi^2)*Diffusion Coefficient for Transit). To calculate Transit Time from Center of Sphere, you need Radius of Sphere for Transit (RD) & Diffusion Coefficient for Transit (DC). With our tool, you need to enter the respective value for Radius of Sphere for Transit & Diffusion Coefficient for Transit 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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