Wavelength in X-ray Diffraction Calculator

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✖Interplanar Spacing is the distance between adjacent and parallel planes of the crystal.ⓘ Interplanar Spacing [d]			+10% -10%
✖Angle b/w Incident and Reflected X-Ray is the angle between the wave vector of the incident plane wave.ⓘ Angle b/w Incident and Reflected X-Ray [θ]			+10% -10%
✖Order of reflection, waves reflected through an angle corresponding to n=1 is said to be in the first order of reflection; the angle corresponding to n = 2 is the second order, and so on.ⓘ Order of Reflection [n_order]			+10% -10%

✖The Wavelength of X-ray can be defined as the distance between two successive crests or troughs of X-Ray.ⓘ Wavelength in X-ray Diffraction [λ_X-ray]

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Formula

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Wavelength in X-ray Diffraction

Formula

`"λ"_{"X-ray"} = (2*"d"*sin("θ"))/"n"_{"order"}`

Example

`"0.35nm"=(2*"0.7nm"*sin("30°"))/"2"`

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Wavelength in X-ray Diffraction Solution

STEP 0: Pre-Calculation Summary

Formula Used

Wavelength of X-ray = (2*Interplanar Spacing*sin(Angle b/w Incident and Reflected X-Ray))/Order of Reflection
λ_X-ray = (2*d*sin(θ))/n_order
This formula uses 1 Functions, 4 Variables

Functions Used

sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)

Variables Used

Wavelength of X-ray - (Measured in Meter) - The Wavelength of X-ray can be defined as the distance between two successive crests or troughs of X-Ray.
Interplanar Spacing - (Measured in Meter) - Interplanar Spacing is the distance between adjacent and parallel planes of the crystal.
Angle b/w Incident and Reflected X-Ray - (Measured in Radian) - Angle b/w Incident and Reflected X-Ray is the angle between the wave vector of the incident plane wave.
Order of Reflection - Order of reflection, waves reflected through an angle corresponding to n=1 is said to be in the first order of reflection; the angle corresponding to n = 2 is the second order, and so on.

STEP 1: Convert Input(s) to Base Unit

Interplanar Spacing: 0.7 Nanometer --> 7E-10 Meter (Check conversion here)
Angle b/w Incident and Reflected X-Ray: 30 Degree --> 0.5235987755982 Radian (Check conversion here)
Order of Reflection: 2 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

λ_X-ray = (2*d*sin(θ))/n_order --> (2*7E-10*sin(0.5235987755982))/2

Evaluating ... ...

λ_X-ray = 3.5E-10

STEP 3: Convert Result to Output's Unit

3.5E-10 Meter -->0.35 Nanometer (Check conversion here)

FINAL ANSWER

0.35 Nanometer <-- Wavelength of X-ray

(Calculation completed in 00.008 seconds)

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Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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K J Somaiya College of Engineering (K J Somaiya), Mumbai

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< 10+ Atom Calculators

Angle between Incident Ray and Scattering Planes in X-ray Diffraction

Go Angle b/w Incident and Reflected X-Ray = asin((Order of Reflection*Wavelength of X-ray)/(2*Interplanar Spacing))

Spacing between Atomic Lattice Planes in X-ray Diffraction

Go Interplanar Spacing = (Order of Reflection*Wavelength of X-ray)/(2*sin(Angle b/w Incident and Reflected X-Ray))

Wavelength in X-ray Diffraction

Go Wavelength of X-ray = (2*Interplanar Spacing*sin(Angle b/w Incident and Reflected X-Ray))/Order of Reflection

Wavelength of Emitted Radiation for Transition between States

Go Wavelength = [Rydberg]*Atomic Number^2*(1/Energy State n1^2-1/Energy State n2^2)

Quantization of Angular Momentum

Go Quantization of Angular Momentum = (Quantum Number*Plancks Constant)/(2*pi)

Moseley's Law

Go Moseley Law = Constant A*(Atomic Weight-Constant B)

Energy in Nth Bohr's Orbit

Go Energy in nth Bohr's Unit = -13.6*(Atomic Number^2)/(Number of Level in Orbit^2)

Radius of Nth Bohr's Orbit

Go Radius of nth Orbit = (Quantum Number^2*0.529*10^(-10))/Atomic Number

Minimum Wavelength in X-ray Spectrum

Go Wavelength = Plancks Constant*3*10^8/(1.60217662*10^-19*Voltage)

Photon Energy in State Transition

Go Energy of Photon = Plancks Constant*Frequency of Photon

Wavelength in X-ray Diffraction Formula

Wavelength of X-ray = (2*Interplanar Spacing*sin(Angle b/w Incident and Reflected X-Ray))/Order of Reflection
λ_X-ray = (2*d*sin(θ))/n_order

What is Bragg's law of X ray diffraction?

Bragg's Law was introduced by Sir W.H. Bragg and his son Sir W.L. Bragg. The law states that when the x-ray is incident onto a crystal surface, its angle of incidence, θ, will reflect back with a same angle of scattering.

How to Calculate Wavelength in X-ray Diffraction?

Wavelength in X-ray Diffraction calculator uses Wavelength of X-ray = (2*Interplanar Spacing*sin(Angle b/w Incident and Reflected X-Ray))/Order of Reflection to calculate the Wavelength of X-ray, The Wavelength in x-ray diffraction formula is defined as the wavelength lambda of the X-rays going into the crystal. Wavelength of X-ray is denoted by λ_X-ray symbol.

How to calculate Wavelength in X-ray Diffraction using this online calculator? To use this online calculator for Wavelength in X-ray Diffraction, enter Interplanar Spacing (d), Angle b/w Incident and Reflected X-Ray (θ) & Order of Reflection (n_order) and hit the calculate button. Here is how the Wavelength in X-ray Diffraction calculation can be explained with given input values -> 3.5E+8 = (2*7E-10*sin(0.5235987755982))/2.

FAQ

What is Wavelength in X-ray Diffraction?

The Wavelength in x-ray diffraction formula is defined as the wavelength lambda of the X-rays going into the crystal and is represented as λ_X-ray = (2*d*sin(θ))/n_order or Wavelength of X-ray = (2*Interplanar Spacing*sin(Angle b/w Incident and Reflected X-Ray))/Order of Reflection. Interplanar Spacing is the distance between adjacent and parallel planes of the crystal, Angle b/w Incident and Reflected X-Ray is the angle between the wave vector of the incident plane wave & Order of reflection, waves reflected through an angle corresponding to n=1 is said to be in the first order of reflection; the angle corresponding to n = 2 is the second order, and so on.

How to calculate Wavelength in X-ray Diffraction?

The Wavelength in x-ray diffraction formula is defined as the wavelength lambda of the X-rays going into the crystal is calculated using Wavelength of X-ray = (2*Interplanar Spacing*sin(Angle b/w Incident and Reflected X-Ray))/Order of Reflection. To calculate Wavelength in X-ray Diffraction, you need Interplanar Spacing (d), Angle b/w Incident and Reflected X-Ray (θ) & Order of Reflection (n_order). With our tool, you need to enter the respective value for Interplanar Spacing, Angle b/w Incident and Reflected X-Ray & Order of Reflection 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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