Interplanar Spacing of Crystal Solution

STEP 0: Pre-Calculation Summary
Formula Used
Interplanar Spacing = Order of reflection*Wavelength of X-ray/(2*sin(Angle of Incidence))
d = n*λX-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 adjacent and parallel planes of the crystal.
Order of reflection - Order of reflection which must be an integer.
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 of Incidence - (Measured in Radian) - The angle of incidence is the angle between a ray incident on a surface and the line perpendicular to the surface at the point of incidence, called the normal.
STEP 1: Convert Input(s) to Base Unit
Order of reflection: 3 --> No Conversion Required
Wavelength of X-ray: 0.45 Nanometer --> 4.5E-10 Meter (Check conversion here)
Angle of Incidence: 30 Degree --> 0.5235987755982 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
d = n*λX-ray/(2*sin(θ)) --> 3*4.5E-10/(2*sin(0.5235987755982))
Evaluating ... ...
d = 1.35E-09
STEP 3: Convert Result to Output's Unit
1.35E-09 Meter -->1.35 Nanometer (Check conversion here)
FINAL ANSWER
1.35 Nanometer <-- Interplanar Spacing
(Calculation completed in 00.004 seconds)

Credits

Created by Hariharan V S
Indian Institute of Technology (IIT), Chennai
Hariharan V S has created this Calculator and 25+ more calculators!
Verified by Team Softusvista
Softusvista Office (Pune), India
Team Softusvista has verified this Calculator and 1100+ more calculators!

6 Crystal Lattice Calculators

Interplanar Spacing of Crystal given Lattice Parameter
Go Interplanar Spacing = Lattice Parameter/sqrt(Miller Index h^2+Miller Index k^2+Miller Index l^2)
Density of cubic crystals
Go Density = Effective Number of Atoms in Unit Cell*Atomic Mass/([Avaga-no]*(Lattice Parameter)^3)
Interplanar Spacing of Crystal
Go Interplanar Spacing = Order of reflection*Wavelength of X-ray/(2*sin(Angle of Incidence))
Lattice Parameter of FCC
Go Lattice Parameter of FCC = 2*Atomic Radius*sqrt(2)
Lattice Parameter of BCC
Go Lattice Parameter of BCC = 4*Atomic Radius/sqrt(3)
Number of atomic sites
Go Number of atomic sites = Density/Atomic Mass

Interplanar Spacing of Crystal Formula

Interplanar Spacing = Order of reflection*Wavelength of X-ray/(2*sin(Angle of Incidence))
d = n*λX-ray/(2*sin(θ))

Bragg's Law

Bragg's law gives the relation between the spacing of atomic planes (interplanar spacing) in crystals and the angle of incidence at which these planes produce the most intense reflections of electromagnetic radiations (X rays).

How to Calculate Interplanar Spacing of Crystal?

Interplanar Spacing of Crystal calculator uses Interplanar Spacing = Order of reflection*Wavelength of X-ray/(2*sin(Angle of Incidence)) to calculate the Interplanar Spacing, Interplanar spacing of crystal is the distance between adjacent and parallel atomic planes of the crystal. Interplanar Spacing is denoted by d symbol.

How to calculate Interplanar Spacing of Crystal using this online calculator? To use this online calculator for Interplanar Spacing of Crystal, enter Order of reflection (n), Wavelength of X-ray X-ray) & Angle of Incidence (θ) and hit the calculate button. Here is how the Interplanar Spacing of Crystal calculation can be explained with given input values -> 1.4E+9 = 3*4.5E-10/(2*sin(0.5235987755982)).

FAQ

What is Interplanar Spacing of Crystal?
Interplanar spacing of crystal is the distance between adjacent and parallel atomic planes of the crystal and is represented as d = n*λX-ray/(2*sin(θ)) or Interplanar Spacing = Order of reflection*Wavelength of X-ray/(2*sin(Angle of Incidence)). Order of reflection which must be an integer, The Wavelength of X-ray can be defined as the distance between two successive crests or troughs of X-Ray & The angle of incidence is the angle between a ray incident on a surface and the line perpendicular to the surface at the point of incidence, called the normal.
How to calculate Interplanar Spacing of Crystal?
Interplanar spacing of crystal is the distance between adjacent and parallel atomic planes of the crystal is calculated using Interplanar Spacing = Order of reflection*Wavelength of X-ray/(2*sin(Angle of Incidence)). To calculate Interplanar Spacing of Crystal, you need Order of reflection (n), Wavelength of X-ray X-ray) & Angle of Incidence (θ). With our tool, you need to enter the respective value for Order of reflection, Wavelength of X-ray & Angle of Incidence and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Interplanar Spacing?
In this formula, Interplanar Spacing uses Order of reflection, Wavelength of X-ray & Angle of Incidence. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Interplanar Spacing = Lattice Parameter/sqrt(Miller Index h^2+Miller Index k^2+Miller Index l^2)
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!