✖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]

⎘ Copy

👎

Formula

✖

Spacing between Atomic Lattice Planes in X-ray Diffraction

Formula

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

Example

`"0.700076nm"=("2"*"0.45nm")/(2*sin("40°"))`

Calculator

LaTeX

Reset

👍

Download Modern Physics Formula PDF PDF Image

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 00.020 seconds)

You are here -

Home » Physics » Modern Physics » Photon and Atomic Physics » Basic Physics » Atomic Structure » Spacing between Atomic Lattice Planes in X-ray Diffraction

Credits

Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has created this Calculator and 2000+ more calculators!

Verified by Rushi Shah

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

Rushi Shah has verified this Calculator and 200+ more calculators!

< 10+ Atomic Structure 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 = 1/([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)

Energy in Nth Bohr's Orbit

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

Moseley's Law

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

Minimum Wavelength in X-ray Spectrum

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

Photon Energy in State Transition

Go Photon Energy in State Transition = Plancks Constant*Frequency of Photon

Radius of Nth Bohr's Orbit

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

Spacing between Atomic Lattice Planes in X-ray Diffraction Formula

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.

Home

FREE PDFs

🔍 Search