Analysis of Anisotropy Calculator

✖Angle Between Transition Dipole Moments is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.ⓘ Angle Between Transition Dipole Moments [γ_a]

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✖Analysis of Anisotropy includes interactions of each (pump and probe) field with both the lower and upper transition.ⓘ Analysis of Anisotropy [r_i]

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Formula

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Analysis of Anisotropy

Formula

`"r"_{"i"} = ((cos("γ"_{"a"})^2)+3)/(10*cos("γ"_{"a"}))`

Example

`"0.494975"=((cos("45°")^2)+3)/(10*cos("45°"))`

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Analysis of Anisotropy Solution

STEP 0: Pre-Calculation Summary

Formula Used

Analysis of Anisotropy = ((cos(Angle Between Transition Dipole Moments)^2)+3)/(10*cos(Angle Between Transition Dipole Moments))
r_i = ((cos(γ_a)^2)+3)/(10*cos(γ_a))
This formula uses 1 Functions, 2 Variables

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)

Variables Used

Analysis of Anisotropy - Analysis of Anisotropy includes interactions of each (pump and probe) field with both the lower and upper transition.
Angle Between Transition Dipole Moments - (Measured in Radian) - Angle Between Transition Dipole Moments is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.

STEP 1: Convert Input(s) to Base Unit

Angle Between Transition Dipole Moments: 45 Degree --> 0.785398163397301 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_i = ((cos(γ_a)^2)+3)/(10*cos(γ_a)) --> ((cos(0.785398163397301)^2)+3)/(10*cos(0.785398163397301))

Evaluating ... ...

r_i = 0.494974746830531

STEP 3: Convert Result to Output's Unit

0.494974746830531 --> No Conversion Required

FINAL ANSWER

0.494974746830531 ≈ 0.494975 <-- Analysis of Anisotropy

(Calculation completed in 00.004 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

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

Analysis of Anisotropy Formula

Analysis of Anisotropy = ((cos(Angle Between Transition Dipole Moments)^2)+3)/(10*cos(Angle Between Transition Dipole Moments))
r_i = ((cos(γ_a)^2)+3)/(10*cos(γ_a))

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 Analysis of Anisotropy?

Analysis of Anisotropy calculator uses Analysis of Anisotropy = ((cos(Angle Between Transition Dipole Moments)^2)+3)/(10*cos(Angle Between Transition Dipole Moments)) to calculate the Analysis of Anisotropy, The Analysis of Anisotropy formula is defined as anisotropy which include interactions of each (pump and probe) field with both the lower and upper transition. This does not have any counterpart in the classical case of fluorescence anisotropy. Analysis of Anisotropy is denoted by r_i symbol.

How to calculate Analysis of Anisotropy using this online calculator? To use this online calculator for Analysis of Anisotropy, enter Angle Between Transition Dipole Moments (γ_a) and hit the calculate button. Here is how the Analysis of Anisotropy calculation can be explained with given input values -> 0.494975 = ((cos(0.785398163397301)^2)+3)/(10*cos(0.785398163397301)).

FAQ

What is Analysis of Anisotropy?

The Analysis of Anisotropy formula is defined as anisotropy which include interactions of each (pump and probe) field with both the lower and upper transition. This does not have any counterpart in the classical case of fluorescence anisotropy and is represented as r_i = ((cos(γ_a)^2)+3)/(10*cos(γ_a)) or Analysis of Anisotropy = ((cos(Angle Between Transition Dipole Moments)^2)+3)/(10*cos(Angle Between Transition Dipole Moments)). Angle Between Transition Dipole Moments is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.

How to calculate Analysis of Anisotropy?

The Analysis of Anisotropy formula is defined as anisotropy which include interactions of each (pump and probe) field with both the lower and upper transition. This does not have any counterpart in the classical case of fluorescence anisotropy is calculated using Analysis of Anisotropy = ((cos(Angle Between Transition Dipole Moments)^2)+3)/(10*cos(Angle Between Transition Dipole Moments)). To calculate Analysis of Anisotropy, you need Angle Between Transition Dipole Moments (γ_a). With our tool, you need to enter the respective value for Angle Between Transition Dipole Moments 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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