Bragg Equation for Order of Diffraction of Atoms in Crystal Lattice Calculator

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✖Interplanar Spacing in nm is the distance between adjacent and parallel planes of the crystal in nanometer.ⓘ Interplanar Spacing in nm [d]			+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%
✖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%

✖Order of Diffraction is a reference to how far the spectrum is from the centre line.ⓘ Bragg Equation for Order of Diffraction of Atoms in Crystal Lattice [n_{diḟḟraction}]

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Bragg Equation for Order of Diffraction of Atoms in Crystal Lattice

Formula

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

Example

`"15.55556"=(2*"7nm"*sin("30°"))/"0.45nm"`

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Bragg Equation for Order of Diffraction of Atoms in Crystal Lattice Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Order of Diffraction - Order of Diffraction is a reference to how far the spectrum is from the centre line.
Interplanar Spacing in nm - (Measured in Meter) - Interplanar Spacing in nm is the distance between adjacent and parallel planes of the crystal in nanometer.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Interplanar Spacing in nm: 7 Nanometer --> 7E-09 Meter (Check conversion here)
Bragg's Angle of Crystal: 30 Degree --> 0.5235987755982 Radian (Check conversion here)
Wavelength of X-ray: 0.45 Nanometer --> 4.5E-10 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

n_{diḟḟraction} = (2*d*sin(θ))/λ_X-ray --> (2*7E-09*sin(0.5235987755982))/4.5E-10

Evaluating ... ...

n_{diḟḟraction} = 15.5555555555556

STEP 3: Convert Result to Output's Unit

15.5555555555556 --> No Conversion Required

FINAL ANSWER

15.5555555555556 ≈ 15.55556 <-- Order of Diffraction

(Calculation completed in 00.007 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 Order of Diffraction of Atoms in Crystal Lattice Formula

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

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 Order of Diffraction of Atoms in Crystal Lattice?

Bragg Equation for Order of Diffraction of Atoms in Crystal Lattice calculator uses Order of Diffraction = (2*Interplanar Spacing in nm*sin(Bragg's Angle of Crystal))/Wavelength of X-ray to calculate the Order of Diffraction, The Bragg Equation for Order of Diffraction of Atoms in Crystal Lattice formula is defined as the distance between the two atoms , planes, lattices. Order of Diffraction is denoted by n_{diḟḟraction} symbol.

How to calculate Bragg Equation for Order of Diffraction of Atoms in Crystal Lattice using this online calculator? To use this online calculator for Bragg Equation for Order of Diffraction of Atoms in Crystal Lattice, enter Interplanar Spacing in nm (d), Bragg's Angle of Crystal (θ) & Wavelength of X-ray (λ_X-ray) and hit the calculate button. Here is how the Bragg Equation for Order of Diffraction of Atoms in Crystal Lattice calculation can be explained with given input values -> 15.55556 = (2*7E-09*sin(0.5235987755982))/4.5E-10.

FAQ

What is Bragg Equation for Order of Diffraction of Atoms in Crystal Lattice?

The Bragg Equation for Order of Diffraction of Atoms in Crystal Lattice formula is defined as the distance between the two atoms , planes, lattices and is represented as n_{diḟḟraction} = (2*d*sin(θ))/λ_X-ray or Order of Diffraction = (2*Interplanar Spacing in nm*sin(Bragg's Angle of Crystal))/Wavelength of X-ray. Interplanar Spacing in nm is the distance between adjacent and parallel planes of the crystal in nanometer, Bragg's Angle of crystal is the angle between the primary X-ray beam (with λ wavelength) and the family of lattice planes & The Wavelength of X-ray can be defined as the distance between two successive crests or troughs of X-Ray.

How to calculate Bragg Equation for Order of Diffraction of Atoms in Crystal Lattice?

The Bragg Equation for Order of Diffraction of Atoms in Crystal Lattice formula is defined as the distance between the two atoms , planes, lattices is calculated using Order of Diffraction = (2*Interplanar Spacing in nm*sin(Bragg's Angle of Crystal))/Wavelength of X-ray. To calculate Bragg Equation for Order of Diffraction of Atoms in Crystal Lattice, you need Interplanar Spacing in nm (d), Bragg's Angle of Crystal (θ) & Wavelength of X-ray (λ_X-ray). With our tool, you need to enter the respective value for Interplanar Spacing in nm, Bragg's Angle of Crystal & Wavelength of 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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