Credits

National University of Judicial Science (NUJS), Kolkata
Soupayan banerjee has created this Calculator and 50+ more calculators!
National Institute of Technology, Meghalaya (NIT), Meghalaya
Prerana Bakli has verified this Calculator and 700+ more calculators!

Bragg equation for the Distance between Planes of Atoms in a Crystal Lattice Solution

STEP 0: Pre-Calculation Summary
Formula Used
interplanar_spacing = (Order of Diffraction*Wavelength of X ray)/(2*sin(Bragg's Angle of Crystal))
d = (n*λ)/(2*sin(θ))
This formula uses 1 Functions, 3 Variables
Functions Used
sin - Trigonometric sine function, sin(Angle)
Variables Used
Order of Diffraction- Order of Diffraction is a reference to how far the spectrum is from the centre line.
Wavelength of X ray - The wavelength of X ray can be defined as the distance between two successive crests or troughs of X-Ray. (Measured in Angstrom)
Bragg's Angle of Crystal - Bragg's Angle of crystal is the angle between the primary X-ray beam (with λ wavelength) and the family of lattice planes. (Measured in Degree)
STEP 1: Convert Input(s) to Base Unit
Order of Diffraction: 10 --> No Conversion Required
Wavelength of X ray: 1 Angstrom --> 1E-10 Meter (Check conversion here)
Bragg's Angle of Crystal: 10 Degree --> 0.1745329251994 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
d = (n*λ)/(2*sin(θ)) --> (10*1E-10)/(2*sin(0.1745329251994))
Evaluating ... ...
d = 2.87938524157236E-09
STEP 3: Convert Result to Output's Unit
2.87938524157236E-09 Meter -->28.7938524157236 Angstrom (Check conversion here)
FINAL ANSWER
28.7938524157236 Angstrom <-- Interplanar spacing
(Calculation completed in 00.015 seconds)

10+ Structure of atom Calculators

Mass of moving electron
mass_of_moving_electron = Rest mass of electron/sqrt(1-((Velocity of electron/[c])^2)) Go
Kinetic Energy of an Electron
energy = -2.178*10^-18*(Atomic number)^2/(Quantum Number)^2 Go
Kinetic Energy in Electron Volts
energy_ev = -13.6*(Atomic number)^2/(Quantum Number)^2 Go
Potential Energy in Electron Volts.
energy_ev = 6.8*(Atomic number)^2/(Quantum Number)^2 Go
Total Energy In Electron Volts
energy_ev = 6.8*(Atomic number)^2/(Quantum Number)^2 Go
Mass number
mass_number = Number of Protons+Number of Neutrons Go
Number of neutrons
number_of_neutrons = Mass number-Atomic number Go
Electric charge
charge = Number of electron*[Charge-e] Go
Specific charge
specific_charge = Charge/[Mass-e] Go
Wave number of electromagnetic wave
wave_number_of_wave = 1/Wavelength Go

Bragg equation for the Distance between Planes of Atoms in a Crystal Lattice Formula

interplanar_spacing = (Order of Diffraction*Wavelength of X ray)/(2*sin(Bragg's Angle of Crystal))
d = (n*λ)/(2*sin(θ))

What is Bragg's Law?

Bragg's law is the relation between the spacing of atomic planes in crystals and the angles of incidence at which these planes produce the most intense reflections of electromagnetic radiations, such as X rays and gamma rays, and particle waves, such as those associated with electrons and neutrons.

How to Calculate Bragg equation for the Distance between Planes of Atoms in a Crystal Lattice?

Bragg equation for the Distance between Planes of Atoms in a Crystal Lattice calculator uses interplanar_spacing = (Order of Diffraction*Wavelength of X ray)/(2*sin(Bragg's Angle of Crystal)) to calculate the Interplanar spacing, The Bragg equation for the Distance between Planes of Atoms in a Crystal Lattice formula is defined as spacing of atomic planes in crystals with relation to angles of incidence at which these planes produce the most intense reflections of electromagnetic radiations. Interplanar spacing is denoted by d symbol.

How to calculate Bragg equation for the Distance between Planes of Atoms in a Crystal Lattice using this online calculator? To use this online calculator for Bragg equation for the Distance between Planes of Atoms in a Crystal Lattice, enter Order of Diffraction (n), Wavelength of X ray (λ) & Bragg's Angle of Crystal (θ) and hit the calculate button. Here is how the Bragg equation for the Distance between Planes of Atoms in a Crystal Lattice calculation can be explained with given input values -> 28.79385 = (10*1E-10)/(2*sin(0.1745329251994)).

FAQ

What is Bragg equation for the Distance between Planes of Atoms in a Crystal Lattice?
The Bragg equation for the Distance between Planes of Atoms in a Crystal Lattice formula is defined as spacing of atomic planes in crystals with relation to angles of incidence at which these planes produce the most intense reflections of electromagnetic radiations and is represented as d = (n*λ)/(2*sin(θ)) or interplanar_spacing = (Order of Diffraction*Wavelength of X ray)/(2*sin(Bragg's Angle of Crystal)). Order of Diffraction is a reference to how far the spectrum is from the centre line, The wavelength of X ray can be defined as the distance between two successive crests or troughs of X-Ray & Bragg's Angle of crystal is the angle between the primary X-ray beam (with λ wavelength) and the family of lattice planes.
How to calculate Bragg equation for the Distance between Planes of Atoms in a Crystal Lattice?
The Bragg equation for the Distance between Planes of Atoms in a Crystal Lattice formula is defined as spacing of atomic planes in crystals with relation to angles of incidence at which these planes produce the most intense reflections of electromagnetic radiations is calculated using interplanar_spacing = (Order of Diffraction*Wavelength of X ray)/(2*sin(Bragg's Angle of Crystal)). To calculate Bragg equation for the Distance between Planes of Atoms in a Crystal Lattice, you need Order of Diffraction (n), Wavelength of X ray (λ) & Bragg's Angle of Crystal (θ). With our tool, you need to enter the respective value for Order of Diffraction, Wavelength of X ray & Bragg's Angle of Crystal 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 Diffraction, Wavelength of X ray & Bragg's Angle of Crystal. We can use 10 other way(s) to calculate the same, which is/are as follows -
  • mass_number = Number of Protons+Number of Neutrons
  • number_of_neutrons = Mass number-Atomic number
  • charge = Number of electron*[Charge-e]
  • wave_number_of_wave = 1/Wavelength
  • energy_ev = -13.6*(Atomic number)^2/(Quantum Number)^2
  • energy_ev = 6.8*(Atomic number)^2/(Quantum Number)^2
  • energy_ev = 6.8*(Atomic number)^2/(Quantum Number)^2
  • specific_charge = Charge/[Mass-e]
  • mass_of_moving_electron = Rest mass of electron/sqrt(1-((Velocity of electron/[c])^2))
  • energy = -2.178*10^-18*(Atomic number)^2/(Quantum Number)^2
Share Image
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!