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Spacing between Atomic Lattice Planes in X-ray Diffraction Calculator

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✖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 of X-ray [λ_x-ray]			+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%

✖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.ⓘ Spacing between Atomic Lattice Planes in X-ray Diffraction [d]

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Spacing between Atomic Lattice Planes in X-ray Diffraction Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Order of Reflection: 2 --> No Conversion Required
Wavelength of X-ray: 0.45 Nanometer --> 4.5E-10 Meter (Check conversion here)
Angle b/w Incident and Reflected X-Ray: 40 Degree --> 0.698131700797601 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d = (n_order*λ_x-ray)/(2*sin(θ)) --> (2*4.5E-10)/(2*sin(0.698131700797601))

Evaluating ... ...

d = 7.00075722087295E-10

STEP 3: Convert Result to Output's Unit

7.00075722087295E-10 Meter -->0.700075722087295 Nanometer (Check conversion here)

FINAL ANSWER

0.700075722087295 ≈ 0.700076 Nanometer <-- Interplanar Spacing

(Calculation completed in 00.008 seconds)

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Spacing between Atomic Lattice Planes in X-ray Diffraction Formula

LaTeX Go

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

What is Bragg's law of X ray diffraction?

Bragg's law of X-ray diffraction states that constructive interference of X-rays scattered by crystal planes occurs when the path difference between the rays reflected from adjacent planes is an integer multiple of the wavelength.

How to Calculate Spacing between Atomic Lattice Planes in X-ray Diffraction?

Spacing between Atomic Lattice Planes in X-ray Diffraction calculator uses Interplanar Spacing = (Order of Reflection*Wavelength of X-ray)/(2*sin(Angle b/w Incident and Reflected X-Ray)) to calculate the Interplanar Spacing, Spacing between Atomic Lattice Planes in X-ray Diffraction formula is defined as the distance between the atomic lattice planes in a crystal structure that can be measured using X-ray diffraction, which is crucial in understanding the crystal's internal arrangement and its properties. Interplanar Spacing is denoted by d symbol.

How to calculate Spacing between Atomic Lattice Planes in X-ray Diffraction using this online calculator? To use this online calculator for Spacing between Atomic Lattice Planes in X-ray Diffraction, enter Order of Reflection (n_order), Wavelength of X-ray (λ_x-ray) & Angle b/w Incident and Reflected X-Ray (θ) and hit the calculate button. Here is how the Spacing between Atomic Lattice Planes in X-ray Diffraction calculation can be explained with given input values -> 9E+8 = (2*4.5E-10)/(2*sin(0.698131700797601)).

FAQ

What is Spacing between Atomic Lattice Planes in X-ray Diffraction?

Spacing between Atomic Lattice Planes in X-ray Diffraction formula is defined as the distance between the atomic lattice planes in a crystal structure that can be measured using X-ray diffraction, which is crucial in understanding the crystal's internal arrangement and its properties and is represented as d = (n_order*λ_x-ray)/(2*sin(θ)) or Interplanar Spacing = (Order of Reflection*Wavelength of X-ray)/(2*sin(Angle b/w Incident and Reflected X-Ray)). Order of Reflection is the number of times a photon is reflected by a surface, which affects the resulting beam's intensity and direction, Wavelength of X-ray is the distance between two consecutive peaks or troughs of a light wave that is characteristic of X-ray photons & 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.

How to calculate Spacing between Atomic Lattice Planes in X-ray Diffraction?

Spacing between Atomic Lattice Planes in X-ray Diffraction formula is defined as the distance between the atomic lattice planes in a crystal structure that can be measured using X-ray diffraction, which is crucial in understanding the crystal's internal arrangement and its properties is calculated using Interplanar Spacing = (Order of Reflection*Wavelength of X-ray)/(2*sin(Angle b/w Incident and Reflected X-Ray)). To calculate Spacing between Atomic Lattice Planes in X-ray Diffraction, you need Order of Reflection (n_order), Wavelength of X-ray (λ_x-ray) & Angle b/w Incident and Reflected X-Ray (θ). With our tool, you need to enter the respective value for Order of Reflection, Wavelength of X-ray & Angle b/w Incident and Reflected X-Ray 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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