Wavelength in X-ray Diffraction Calculator

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✖Interplanar Spacing is the distance between two adjacent planes in a crystal lattice structure, which is a critical parameter in understanding the material's properties and behavior.ⓘ Interplanar Spacing [d]			+10% -10%
✖Angle b/w Incident and Reflected X-Ray is the angle between the incident X-ray beam and the reflected X-ray beam, which is crucial in understanding the interaction between X-rays and materials.ⓘ Angle b/w Incident and Reflected X-Ray [θ]			+10% -10%
✖Order of Reflection is the number of times a photon is reflected by a surface, which affects the resulting beam's intensity and direction.ⓘ Order of Reflection [n_order]			+10% -10%

✖Wavelength of X-ray is the distance between two consecutive peaks or troughs of a light wave that is characteristic of X-ray photons.ⓘ Wavelength in X-ray Diffraction [λ_x-ray]

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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) - Wavelength of X-ray is the distance between two consecutive peaks or troughs of a light wave that is characteristic of X-ray photons.
Interplanar Spacing - (Measured in Meter) - Interplanar Spacing is the distance between two adjacent planes in a crystal lattice structure, which is a critical parameter in understanding the material's properties and behavior.
Angle b/w Incident and Reflected X-Ray - (Measured in Radian) - Angle b/w Incident and Reflected X-Ray is the angle between the incident X-ray beam and the reflected X-ray beam, which is crucial in understanding the interaction between X-rays and materials.
Order of Reflection - Order of Reflection is the number of times a photon is reflected by a surface, which affects the resulting beam's intensity and direction.

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: 40 Degree --> 0.698131700797601 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(0.698131700797601))/2

Evaluating ... ...

λ_x-ray = 4.49951326780507E-10

STEP 3: Convert Result to Output's Unit

4.49951326780507E-10 Meter -->0.449951326780507 Nanometer (Check conversion here)

FINAL ANSWER

0.449951326780507 ≈ 0.449951 Nanometer <-- Wavelength of X-ray

(Calculation completed in 00.004 seconds)

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National Institute Of Technology (NIT), Hamirpur

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Wavelength in X-ray Diffraction Formula

LaTeX Go

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 x-ray diffraction?

X-ray diffraction is a technique used to study the structure of crystalline materials by directing X-rays at a sample. When X-rays interact with the crystal lattice, they are scattered in specific directions, producing a diffraction pattern. This pattern provides information about the arrangement of atoms within the crystal, allowing researchers to determine the material's structure, identify phases, and analyze molecular configurations. X-ray diffraction is widely used in materials science, chemistry, and biology.

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, Wavelength in X-ray Diffraction formula is defined as a measure of the distance between successive peaks or troughs of a wave in an X-ray diffraction pattern, which is essential in determining the structure of crystals and molecules in various fields such as materials science, physics, and chemistry. 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(0.698131700797601))/2.

FAQ

What is Wavelength in X-ray Diffraction?

Wavelength in X-ray Diffraction formula is defined as a measure of the distance between successive peaks or troughs of a wave in an X-ray diffraction pattern, which is essential in determining the structure of crystals and molecules in various fields such as materials science, physics, and chemistry 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 two adjacent planes in a crystal lattice structure, which is a critical parameter in understanding the material's properties and behavior, Angle b/w Incident and Reflected X-Ray is the angle between the incident X-ray beam and the reflected X-ray beam, which is crucial in understanding the interaction between X-rays and materials & Order of Reflection is the number of times a photon is reflected by a surface, which affects the resulting beam's intensity and direction.

How to calculate Wavelength in X-ray Diffraction?

Wavelength in X-ray Diffraction formula is defined as a measure of the distance between successive peaks or troughs of a wave in an X-ray diffraction pattern, which is essential in determining the structure of crystals and molecules in various fields such as materials science, physics, and chemistry 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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