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 = (norder*λX-ray)/(2*sin(θ))
This formula uses 1 Functions, 4 Variables
Functions Used
sin - Trigonometric sine function, sin(Angle)
Variables Used
Interplanar Spacing - (Measured in Meter) - Interplanar Spacing is the distance between adjacent and parallel planes of the crystal.
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.
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.
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.
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: 30 Degree --> 0.5235987755982 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
d = (norderX-ray)/(2*sin(θ)) --> (2*4.5E-10)/(2*sin(0.5235987755982))
Evaluating ... ...
d = 9E-10
STEP 3: Convert Result to Output's Unit
9E-10 Meter -->0.9 Nanometer (Check conversion here)
FINAL ANSWER
0.9 Nanometer <-- Interplanar Spacing
(Calculation completed in 00.004 seconds)

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National Institute Of Technology (NIT), Hamirpur
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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

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 = (norder*λX-ray)/(2*sin(θ))

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 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, The Spacing between Atomic Lattice Planes in X-ray Diffraction formula is defined as the distance between the atomic layers. 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 (norder), Wavelength of X-ray 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(0.5235987755982)).

FAQ

What is Spacing between Atomic Lattice Planes in X-ray Diffraction?
The Spacing between Atomic Lattice Planes in X-ray Diffraction formula is defined as the distance between the atomic layers and is represented as d = (norderX-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, 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, The Wavelength of X-ray can be defined as the distance between two successive crests or troughs of X-Ray & Angle b/w Incident and Reflected X-Ray is the angle between the wave vector of the incident plane wave.
How to calculate Spacing between Atomic Lattice Planes in X-ray Diffraction?
The Spacing between Atomic Lattice Planes in X-ray Diffraction formula is defined as the distance between the atomic layers 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 (norder), Wavelength of X-ray 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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