Wavelength of Thermal Neutron Calculator

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De Broglie Hypothesis

Bohr's Atomic Model

Compton Effect

Distance of Closest Approach

Heisenberg's Uncertainty Principle

Important Formulas on Bohr's Atomic Model

Photo Electric Effect

Planck Quantum Theory

Rutherford Scattering

Schrodinger Wave Equation

Sommerfeld Model

Structure of Atom

✖Temperature is the degree or intensity of heat present in a substance or object.ⓘ Temperature [T]

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✖Wavelength DB is the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space or along a wire.ⓘ Wavelength of Thermal Neutron [λ_DB]

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Formula

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Wavelength of Thermal Neutron

Formula

`"λ"_{"DB"} = "[hP]"/sqrt(2*"[Mass-n]"*"[BoltZ]"*"T")`

Example

`"0.334189nm"="[hP]"/sqrt(2*"[Mass-n]"*"[BoltZ]"*"85K")`

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Wavelength of Thermal Neutron Solution

STEP 0: Pre-Calculation Summary

Formula Used

Wavelength DB = [hP]/sqrt(2*[Mass-n]*[BoltZ]*Temperature)
λ_DB = [hP]/sqrt(2*[Mass-n]*[BoltZ]*T)
This formula uses 3 Constants, 1 Functions, 2 Variables

Constants Used

[Mass-n] - Mass of neutron Value Taken As 1.67492749804E-27
[BoltZ] - Boltzmann constant Value Taken As 1.38064852E-23
[hP] - Planck constant Value Taken As 6.626070040E-34

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Wavelength DB - (Measured in Meter) - Wavelength DB is the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space or along a wire.
Temperature - (Measured in Kelvin) - Temperature is the degree or intensity of heat present in a substance or object.

STEP 1: Convert Input(s) to Base Unit

Temperature: 85 Kelvin --> 85 Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

λ_DB = [hP]/sqrt(2*[Mass-n]*[BoltZ]*T) --> [hP]/sqrt(2*[Mass-n]*[BoltZ]*85)

Evaluating ... ...

λ_DB = 3.34188875802931E-10

STEP 3: Convert Result to Output's Unit

3.34188875802931E-10 Meter -->0.334188875802931 Nanometer (Check conversion here)

FINAL ANSWER

0.334188875802931 ≈ 0.334189 Nanometer <-- Wavelength DB

(Calculation completed in 00.004 seconds)

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Created by Pratibha

Amity Institute Of Applied Sciences (AIAS, Amity University), Noida, India

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National University of Judicial Science (NUJS), Kolkata

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< 16 De Broglie Hypothesis Calculators

De Broglie Wavelength given Total Energy

Go Wavelength given TE = [hP]/(sqrt(2*Mass in Dalton*(Total Energy Radiated-Potential Energy)))

De Broglie Wavelength of Charged Particle given Potential

Go Wavelength given P = [hP]/(2*[Charge-e]*Electric Potential Difference*Mass of Moving Electron)

Wavelength of Thermal Neutron

Go Wavelength DB = [hP]/sqrt(2*[Mass-n]*[BoltZ]*Temperature)

Relation between de Broglie Wavelength and Kinetic Energy of Particle

Go Wavelength = [hP]/sqrt(2*Kinetic Energy*Mass of Moving Electron)

Potential given de Broglie Wavelength

Go Electric Potential Difference = ([hP]^2)/(2*[Charge-e]*Mass of Moving Electron*(Wavelength^2))

Number of Revolutions of Electron

Go Revolutions per Sec = Velocity of Electron/(2*pi*Radius of Orbit)

De Broglie Wavelength of Particle in Circular Orbit

Go Wavelength given CO = (2*pi*Radius of Orbit)/Quantum Number

De Broglie's Wavelength given Velocity of Particle

Go Wavelength DB = [hP]/(Mass in Dalton*Velocity)

De Brogile Wavelength

Go Wavelength DB = [hP]/(Mass in Dalton*Velocity)

Energy of Particle given de Broglie Wavelength

Go Energy given DB = ([hP]*[c])/Wavelength

Kinetic Energy given de Broglie Wavelength

Go Energy of AO = ([hP]^2)/(2*Mass of Moving Electron*(Wavelength^2))

Mass of Particle given de Broglie Wavelength and Kinetic Energy

Go Mass of Moving E = ([hP]^2)/(((Wavelength)^2)*2*Kinetic Energy)

De Broglie Wavelength for Electron given Potential

Go Wavelength given PE = 12.27/sqrt(Electric Potential Difference)

Energy of Particle

Go Energy of AO = [hP]*Frequency

Potential given de Broglie Wavelength of Electron

Go Electric Potential Difference = (12.27^2)/(Wavelength^2)

Einstein's Mass Energy Relation

Go Energy given DB = Mass in Dalton*([c]^2)

Wavelength of Thermal Neutron Formula

Wavelength DB = [hP]/sqrt(2*[Mass-n]*[BoltZ]*Temperature)
λ_DB = [hP]/sqrt(2*[Mass-n]*[BoltZ]*T)

What is Electron Diffraction?

Electron diffraction is the phenomenon resulting from the interaction between electrons and crystalline materials, producing a pattern of rings or spots that characterize the sample (Glauber and Schomaker, 1953). It is usually performed in a TEM where the electrons pass through a thin film of the sample to be analyzed. The resulting diffraction pattern is then observed on a fluorescent screen, recorded on photographic film, on imaging plates, or using a CCD camera.

How to Calculate Wavelength of Thermal Neutron?

Wavelength of Thermal Neutron calculator uses Wavelength DB = [hP]/sqrt(2*[Mass-n]*[BoltZ]*Temperature) to calculate the Wavelength DB, The Wavelength of Thermal Neutron formula is defined as the wavelength that is associated with a neutron in relation to its momentum and mass. It is also known as the de Broglie wavelength of Neutron. Wavelength DB is denoted by λ_DB symbol.

How to calculate Wavelength of Thermal Neutron using this online calculator? To use this online calculator for Wavelength of Thermal Neutron, enter Temperature (T) and hit the calculate button. Here is how the Wavelength of Thermal Neutron calculation can be explained with given input values -> 3.3E+8 = [hP]/sqrt(2*[Mass-n]*[BoltZ]*85).

FAQ

What is Wavelength of Thermal Neutron?

The Wavelength of Thermal Neutron formula is defined as the wavelength that is associated with a neutron in relation to its momentum and mass. It is also known as the de Broglie wavelength of Neutron and is represented as λ_DB = [hP]/sqrt(2*[Mass-n]*[BoltZ]*T) or Wavelength DB = [hP]/sqrt(2*[Mass-n]*[BoltZ]*Temperature). Temperature is the degree or intensity of heat present in a substance or object.

How to calculate Wavelength of Thermal Neutron?

The Wavelength of Thermal Neutron formula is defined as the wavelength that is associated with a neutron in relation to its momentum and mass. It is also known as the de Broglie wavelength of Neutron is calculated using Wavelength DB = [hP]/sqrt(2*[Mass-n]*[BoltZ]*Temperature). To calculate Wavelength of Thermal Neutron, you need Temperature (T). With our tool, you need to enter the respective value for Temperature and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Wavelength DB?

In this formula, Wavelength DB uses Temperature. We can use 2 other way(s) to calculate the same, which is/are as follows -

Wavelength DB = [hP]/(Mass in Dalton*Velocity)
Wavelength DB = [hP]/(Mass in Dalton*Velocity)

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