Bragg Equation for Distance between Planes of Atoms in Crystal Lattice Calculator

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Structure of Atom

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Compton Effect

De Broglie Hypothesis

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Heisenberg's Uncertainty Principle

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Planck Quantum Theory

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✖Order of Diffraction is a reference to how far the spectrum is from the centre line.ⓘ Order of Diffraction [n_{diḟḟraction}]			+10% -10%
✖The Wavelength of X-ray can be defined as the distance between two successive crests or troughs of X-Ray.ⓘ Wavelength of X-ray [λ_X-ray]			+10% -10%
✖Bragg's Angle of crystal is the angle between the primary X-ray beam (with λ wavelength) and the family of lattice planes.ⓘ Bragg's Angle of Crystal [θ]			+10% -10%

✖Interplanar Spacing in nm is the distance between adjacent and parallel planes of the crystal in nanometer.ⓘ Bragg Equation for Distance between Planes of Atoms in Crystal Lattice [d]

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Bragg Equation for Distance between Planes of Atoms in Crystal Lattice

Formula

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

Example

`"9.9nm"=("22"*"0.45nm")/(2*sin("30°"))`

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Bragg Equation for Distance between Planes of Atoms in Crystal Lattice Solution

STEP 0: Pre-Calculation Summary

Formula Used

Interplanar Spacing in nm = (Order of Diffraction*Wavelength of X-ray)/(2*sin(Bragg's Angle of Crystal))
d = (n_{diḟḟraction}*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 in nm - (Measured in Meter) - Interplanar Spacing in nm is the distance between adjacent and parallel planes of the crystal in nanometer.
Order of Diffraction - Order of Diffraction is a reference to how far the spectrum is from the centre line.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Order of Diffraction: 22 --> No Conversion Required
Wavelength of X-ray: 0.45 Nanometer --> 4.5E-10 Meter (Check conversion here)
Bragg's Angle of Crystal: 30 Degree --> 0.5235987755982 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d = (n_{diḟḟraction}*λ_X-ray)/(2*sin(θ)) --> (22*4.5E-10)/(2*sin(0.5235987755982))

Evaluating ... ...

d = 9.9E-09

STEP 3: Convert Result to Output's Unit

9.9E-09 Meter -->9.9 Nanometer (Check conversion here)

FINAL ANSWER

9.9 Nanometer <-- Interplanar Spacing in nm

(Calculation completed in 00.004 seconds)

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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 Distance between Planes of Atoms in Crystal Lattice Formula

Interplanar Spacing in nm = (Order of Diffraction*Wavelength of X-ray)/(2*sin(Bragg's Angle of Crystal))
d = (n_{diḟḟraction}*λ_X-ray)/(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 Distance between Planes of Atoms in Crystal Lattice?

Bragg Equation for Distance between Planes of Atoms in Crystal Lattice calculator uses Interplanar Spacing in nm = (Order of Diffraction*Wavelength of X-ray)/(2*sin(Bragg's Angle of Crystal)) to calculate the Interplanar Spacing in nm, The Bragg Equation for Distance between Planes of Atoms in 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 in nm is denoted by d symbol.

How to calculate Bragg Equation for Distance between Planes of Atoms in Crystal Lattice using this online calculator? To use this online calculator for Bragg Equation for Distance between Planes of Atoms in Crystal Lattice, enter Order of Diffraction (n_{diḟḟraction}), Wavelength of X-ray (λ_X-ray) & Bragg's Angle of Crystal (θ) and hit the calculate button. Here is how the Bragg Equation for Distance between Planes of Atoms in Crystal Lattice calculation can be explained with given input values -> 9.9E+9 = (22*4.5E-10)/(2*sin(0.5235987755982)).

FAQ

What is Bragg Equation for Distance between Planes of Atoms in Crystal Lattice?

The Bragg Equation for Distance between Planes of Atoms in 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_{diḟḟraction}*λ_X-ray)/(2*sin(θ)) or Interplanar Spacing in nm = (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 Distance between Planes of Atoms in Crystal Lattice?

The Bragg Equation for Distance between Planes of Atoms in 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 in nm = (Order of Diffraction*Wavelength of X-ray)/(2*sin(Bragg's Angle of Crystal)). To calculate Bragg Equation for Distance between Planes of Atoms in Crystal Lattice, you need Order of Diffraction (n_{diḟḟraction}), Wavelength of X-ray (λ_X-ray) & 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.

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