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Interplanar Spacing of Crystal Formula

GoInterplanar Spacing of Crystal given Lattice Parameter Formula

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Interplanar Spacing is the distance between adjacent and parallel planes of the crystal. Check FAQs

d = n \cdot \frac{λ X-ray}{2 \cdot \sin (θ)}

d - Interplanar Spacing?n - Order of reflection?λ_X-ray - Wavelength of X-ray?θ - Angle of Incidence?

Interplanar Spacing of Crystal Example

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Here is how the Interplanar Spacing of Crystal equation looks like with Values.

Here is how the Interplanar Spacing of Crystal equation looks like with Units.

Here is how the Interplanar Spacing of Crystal equation looks like.

1.35 = 3 \cdot \frac{0.45}{2 \cdot \sin (30)}

1.35nm = 3 \cdot \frac{0.45nm}{2 \cdot \sin (30°)}

1.35 = 3 \cdot \frac{0.45}{2 \cdot \sin (30)}

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Interplanar Spacing of Crystal Solution

Follow our step by step solution on how to calculate Interplanar Spacing of Crystal?

FIRST Step Consider the formula

d = n \cdot \frac{λ X-ray}{2 \cdot \sin (θ)}

Next Step Substitute values of Variables

∴

d = 3 \cdot \frac{0.45nm}{2 \cdot \sin (30°)}

Next Step Convert Units

∴

d = 3 \cdot \frac{4.5E-10m}{2 \cdot \sin (0.5236rad)}

Next Step Prepare to Evaluate

∴

d = 3 \cdot \frac{4.5E-10}{2 \cdot \sin (0.5236)}

Next Step Evaluate

∴

d = 1.35E-09m

LAST Step Convert to Output's Unit

∴

d = 1.35nm

Interplanar Spacing of Crystal Formula Elements

Variables

Functions

Interplanar Spacing

Interplanar Spacing is the distance between adjacent and parallel planes of the crystal.

Symbol: d

Measurement: WavelengthUnit: nm

Note: Value should be greater than 0.

Formulas to find Interplanar Spacing

Order of reflection

Order of reflection which must be an integer.

Symbol: n

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Order of reflection

Wavelength of X-ray

The Wavelength of X-ray can be defined as the distance between two successive crests or troughs of X-Ray.

Symbol: λ_X-ray

Measurement: WavelengthUnit: nm

Note: Value should be greater than 0.

Formulas to find Wavelength of X-ray

Angle of Incidence

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.

Symbol: θ

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Angle of Incidence

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.

Syntax: sin(Angle)

Other Formulas to find Interplanar Spacing

Go Interplanar Spacing of Crystal given Lattice Parameter

d = \frac{a}{\sqrt{h^{2} + k^{2} + l^{2}}}

Other formulas in Crystal Lattice category

Go Lattice Parameter of FCC

a FCC = 2 \cdot r \cdot \sqrt{2}

Go Lattice Parameter of BCC

a BCC = 4 \cdot \frac{r}{\sqrt{3}}

Go Number of atomic sites

N = \frac{ρ}{A}

Go Density of cubic crystals

ρ = z \cdot \frac{A}{[Avaga-no] \cdot {(a)}^{3}}

How to Evaluate Interplanar Spacing of Crystal?

Interplanar Spacing of Crystal evaluator uses Interplanar Spacing = Order of reflection*Wavelength of X-ray/(2*sin(Angle of Incidence)) to evaluate 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 evaluate Interplanar Spacing of Crystal using this online evaluator? To use this online evaluator for Interplanar Spacing of Crystal, enter Order of reflection (n), Wavelength of X-ray (λ_X-ray) & Angle of Incidence (θ) and hit the calculate button.

FAQs on Interplanar Spacing of Crystal

What is the formula to find Interplanar Spacing of Crystal?

The formula of Interplanar Spacing of Crystal is expressed as Interplanar Spacing = Order of reflection*Wavelength of X-ray/(2*sin(Angle of Incidence)). Here is an example- 1.4E+9 = 3*4.5E-10/(2*sin(0.5235987755982)).

How to calculate Interplanar Spacing of Crystal?

With Order of reflection (n), Wavelength of X-ray (λ_X-ray) & Angle of Incidence (θ) we can find Interplanar Spacing of Crystal using the formula - Interplanar Spacing = Order of reflection*Wavelength of X-ray/(2*sin(Angle of Incidence)). This formula also uses Sine function(s).

What are the other ways to Calculate Interplanar Spacing?

Here are the different ways to Calculate Interplanar Spacing-

Interplanar Spacing=Lattice Parameter/sqrt(Miller Index h^2+Miller Index k^2+Miller Index l^2)

Can the Interplanar Spacing of Crystal be negative?

No, the Interplanar Spacing of Crystal, measured in Wavelength cannot be negative.

Which unit is used to measure Interplanar Spacing of Crystal?

Interplanar Spacing of Crystal is usually measured using the Nanometer[nm] for Wavelength. Meter[nm], Megameter[nm], Kilometer[nm] are the few other units in which Interplanar Spacing of Crystal can be measured.

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Interplanar Spacing of Crystal Formula

​GoInterplanar Spacing of Crystal given Lattice Parameter Formula

Interplanar Spacing of Crystal Example

Interplanar Spacing of Crystal Solution

Interplanar Spacing of Crystal Formula Elements

Other Formulas to find Interplanar Spacing

Other formulas in Crystal Lattice category

How to Evaluate Interplanar Spacing of Crystal?

FAQs on Interplanar Spacing of Crystal

Variable Name

GoInterplanar Spacing of Crystal given Lattice Parameter Formula