Bragg equation for Wavelength of Atoms in Crystal Lattice Solution

STEP 0: Pre-Calculation Summary
Formula Used
Wavelength of X-ray = 2*Interplanar Spacing of Crystal*(sin(Bragg's Angle of Crystal))/Order of Diffraction
λX-ray = 2*dcrystal*(sin(θ))/ndiḟḟraction
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
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.
Interplanar Spacing of Crystal - (Measured in Meter) - Interplanar Spacing of Crystal is is the separation between sets of parallel planes formed by the individual cells in a lattice structure.
Bragg's Angle of Crystal - (Measured in Radian) - Bragg's Angle of crystal is the angle between the primary X-ray beam (with λ wavelength) and the family of lattice planes.
Order of Diffraction - Order of Diffraction is a reference to how far the spectrum is from the centre line.
STEP 1: Convert Input(s) to Base Unit
Interplanar Spacing of Crystal: 16 Nanometer --> 1.6E-08 Meter (Check conversion here)
Bragg's Angle of Crystal: 30 Degree --> 0.5235987755982 Radian (Check conversion here)
Order of Diffraction: 22 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
λX-ray = 2*dcrystal*(sin(θ))/ndiḟḟraction --> 2*1.6E-08*(sin(0.5235987755982))/22
Evaluating ... ...
λX-ray = 7.27272727272727E-10
STEP 3: Convert Result to Output's Unit
7.27272727272727E-10 Meter -->0.727272727272727 Nanometer (Check conversion here)
FINAL ANSWER
0.727272727272727 0.727273 Nanometer <-- Wavelength of X-ray
(Calculation completed in 00.004 seconds)

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25 Structure of Atom Calculators

Bragg equation for Wavelength of Atoms in Crystal Lattice
Go Wavelength of X-ray = 2*Interplanar Spacing of Crystal*(sin(Bragg's Angle of Crystal))/Order of Diffraction
Bragg Equation for Distance between Planes of Atoms in Crystal Lattice
Go Interplanar Spacing in nm = (Order of Diffraction*Wavelength of X-ray)/(2*sin(Bragg's Angle of Crystal))
Bragg Equation for Order of Diffraction of Atoms in Crystal Lattice
Go Order of Diffraction = (2*Interplanar Spacing in nm*sin(Bragg's Angle of Crystal))/Wavelength of X-ray
Mass of Moving Electron
Go Mass of Moving Electron = Rest Mass of Electron/sqrt(1-((Velocity of Electron/[c])^2))
Electrostatic Force between Nucleus and Electron
Go Force between n and e = ([Coulomb]*Atomic Number*([Charge-e]^2))/(Radius of Orbit^2)
Energy of Stationary States
Go Energy of Stationary States = [Rydberg]*((Atomic Number^2)/(Quantum Number^2))
Radii of Stationary States
Go Radii of Stationary States = [Bohr-r]*((Quantum Number^2)/Atomic Number)
Radius of Orbit given Time Period of Electron
Go Radius of Orbit = (Time Period of Electron*Velocity of Electron)/(2*pi)
Time Period of Revolution of Electron
Go Time Period of Electron = (2*pi*Radius of Orbit)/Velocity of Electron
Orbital Frequency given Velocity of Electron
Go Frequency using Energy = Velocity of Electron/(2*pi*Radius of Orbit)
Total Energy in Electron Volts
Go Kinetic Energy of Photon = (6.8/(6.241506363094*10^(18)))*(Atomic Number)^2/(Quantum Number)^2
Energy in Electron Volts
Go Kinetic Energy of Photon = (6.8/(6.241506363094*10^(18)))*(Atomic Number)^2/(Quantum Number)^2
Kinetic Energy in Electron Volts
Go Energy of an Atom = -(13.6/(6.241506363094*10^(18)))*(Atomic Number)^2/(Quantum Number)^2
Radius of Orbit given Potential Energy of Electron
Go Radius of Orbit = (-(Atomic Number*([Charge-e]^2))/Potential Energy of Electron)
Energy of Electron
Go Kinetic Energy of Photon = 1.085*10^-18*(Atomic Number)^2/(Quantum Number)^2
Wave Number of Moving Particle
Go Wave Number = Energy of Atom/([hP]*[c])
Kinetic Energy of Electron
Go Energy of Atom = -2.178*10^(-18)*(Atomic Number)^2/(Quantum Number)^2
Radius of Orbit given Total Energy of Electron
Go Radius of Orbit = (-(Atomic Number*([Charge-e]^2))/(2*Total Energy))
Radius of Orbit given Kinetic Energy of Electron
Go Radius of Orbit = (Atomic Number*([Charge-e]^2))/(2*Kinetic Energy)
Angular Velocity of Electron
Go Angular Velocity Electron = Velocity of Electron/Radius of Orbit
Mass Number
Go Mass Number = Number of Protons+Number of Neutrons
Electric Charge
Go Electric Charge = Number of Electron*[Charge-e]
Number of Neutrons
Go Number of Neutrons = Mass Number-Atomic Number
Specific Charge
Go Specific Charge = Charge/[Mass-e]
Wave Number of Electromagnetic Wave
Go Wave Number = 1/Wavelength of Light Wave

Bragg equation for Wavelength of Atoms in Crystal Lattice Formula

Wavelength of X-ray = 2*Interplanar Spacing of Crystal*(sin(Bragg's Angle of Crystal))/Order of Diffraction
λX-ray = 2*dcrystal*(sin(θ))/ndiḟḟraction

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 Wavelength of Atoms in Crystal Lattice?

Bragg equation for Wavelength of Atoms in Crystal Lattice calculator uses Wavelength of X-ray = 2*Interplanar Spacing of Crystal*(sin(Bragg's Angle of Crystal))/Order of Diffraction to calculate the Wavelength of X-ray, The Bragg equation for Wavelength of Atoms in Crystal Lattice formula is defined as the equation which helps to find the wavelength of the atoms in a crystal lattice. It is related to Bragg's angle and path length. Wavelength of X-ray is denoted by λX-ray symbol.

How to calculate Bragg equation for Wavelength of Atoms in Crystal Lattice using this online calculator? To use this online calculator for Bragg equation for Wavelength of Atoms in Crystal Lattice, enter Interplanar Spacing of Crystal (dcrystal), Bragg's Angle of Crystal (θ) & Order of Diffraction (ndiḟḟraction) and hit the calculate button. Here is how the Bragg equation for Wavelength of Atoms in Crystal Lattice calculation can be explained with given input values -> 7.3E+8 = 2*1.6E-08*(sin(0.5235987755982))/22.

FAQ

What is Bragg equation for Wavelength of Atoms in Crystal Lattice?
The Bragg equation for Wavelength of Atoms in Crystal Lattice formula is defined as the equation which helps to find the wavelength of the atoms in a crystal lattice. It is related to Bragg's angle and path length and is represented as λX-ray = 2*dcrystal*(sin(θ))/ndiḟḟraction or Wavelength of X-ray = 2*Interplanar Spacing of Crystal*(sin(Bragg's Angle of Crystal))/Order of Diffraction. Interplanar Spacing of Crystal is is the separation between sets of parallel planes formed by the individual cells in a lattice structure, Bragg's Angle of crystal is the angle between the primary X-ray beam (with λ wavelength) and the family of lattice planes & Order of Diffraction is a reference to how far the spectrum is from the centre line.
How to calculate Bragg equation for Wavelength of Atoms in Crystal Lattice?
The Bragg equation for Wavelength of Atoms in Crystal Lattice formula is defined as the equation which helps to find the wavelength of the atoms in a crystal lattice. It is related to Bragg's angle and path length is calculated using Wavelength of X-ray = 2*Interplanar Spacing of Crystal*(sin(Bragg's Angle of Crystal))/Order of Diffraction. To calculate Bragg equation for Wavelength of Atoms in Crystal Lattice, you need Interplanar Spacing of Crystal (dcrystal), Bragg's Angle of Crystal (θ) & Order of Diffraction (ndiḟḟraction). With our tool, you need to enter the respective value for Interplanar Spacing of Crystal, Bragg's Angle of Crystal & Order of Diffraction 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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