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Edge Length using Interplanar Distance of Cubic Crystal Formula

GoEdge length of Simple cubic unit cell Formula

GoEdge length of Body Centered Unit Cell Formula

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The Edge length is the length of the edge of the unit cell. Check FAQs

a = d \cdot \sqrt{(h^{2}) + (k^{2}) + (l^{2})}

a - Edge Length?d - Interplanar Spacing?h - Miller Index along x-axis?k - Miller Index along y-axis?l - Miller Index along z-axis?

Edge Length using Interplanar Distance of Cubic Crystal Example

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Here is how the Edge Length using Interplanar Distance of Cubic Crystal equation looks like with Values.

Here is how the Edge Length using Interplanar Distance of Cubic Crystal equation looks like with Units.

Here is how the Edge Length using Interplanar Distance of Cubic Crystal equation looks like.

103.3538 = 0.7 \cdot \sqrt{(9^{2}) + (4^{2}) + (11^{2})}

103.3538A = 0.7nm \cdot \sqrt{(9^{2}) + (4^{2}) + (11^{2})}

103.3538 = 0.7 \cdot \sqrt{(9^{2}) + (4^{2}) + (11^{2})}

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Edge Length using Interplanar Distance of Cubic Crystal Solution

Follow our step by step solution on how to calculate Edge Length using Interplanar Distance of Cubic Crystal?

FIRST Step Consider the formula

a = d \cdot \sqrt{(h^{2}) + (k^{2}) + (l^{2})}

Next Step Substitute values of Variables

∴

a = 0.7nm \cdot \sqrt{(9^{2}) + (4^{2}) + (11^{2})}

Next Step Convert Units

∴

a = 7E-10m \cdot \sqrt{(9^{2}) + (4^{2}) + (11^{2})}

Next Step Prepare to Evaluate

∴

a = 7E-10 \cdot \sqrt{(9^{2}) + (4^{2}) + (11^{2})}

Next Step Evaluate

∴

a = 1.03353761421634E-08m

Next Step Convert to Output's Unit

∴

a = 103.353761421634A

LAST Step Rounding Answer

∴

a = 103.3538A

Edge Length using Interplanar Distance of Cubic Crystal Formula Elements

Variables

Functions

Edge Length

The Edge length is the length of the edge of the unit cell.

Symbol: a

Measurement: LengthUnit: A

Note: Value can be positive or negative.

Formulas to find Edge Length

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

Miller Index along x-axis

The Miller Index along x-axis form a notation system in crystallography for planes in crystal (Bravais) lattices along the x-direction.

Symbol: h

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Miller Index along x-axis

Miller Index along y-axis

The Miller Index along y-axis form a notation system in crystallography for planes in crystal (Bravais) lattices along the y-direction.

Symbol: k

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Miller Index along y-axis

Miller Index along z-axis

The Miller Index along z-axis form a notation system in crystallography for planes in crystal (Bravais) lattices along the z-direction.

Symbol: l

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Miller Index along z-axis

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Edge Length

Go Edge length of Simple cubic unit cell

a = 2 \cdot R

Go Edge length of Body Centered Unit Cell

a = 4 \cdot \frac{R}{\sqrt{3}}

Go Edge Length of Face Centered Unit Cell

a = 2 \cdot \sqrt{2} \cdot R

Other formulas in Lattice category

Go Packing Efficiency

P = (\frac{v}{V}) \cdot 100

Go Number of Tetrahedral Voids

T voids = 2 \cdot N closed

Go Radius Ratio

R ratio = \frac{R c}{R a}

Go Radius of Constituent particle in Simple Cubic Unit Cell

R = \frac{a}{2}

How to Evaluate Edge Length using Interplanar Distance of Cubic Crystal?

Edge Length using Interplanar Distance of Cubic Crystal evaluator uses Edge Length = Interplanar Spacing*sqrt((Miller Index along x-axis^2)+(Miller Index along y-axis^2)+(Miller Index along z-axis^2)) to evaluate the Edge Length, The Edge Length using Interplanar Distance of Cubic Crystal is a line where two faces of a crystal lattice meet. Edge Length is denoted by a symbol.

How to evaluate Edge Length using Interplanar Distance of Cubic Crystal using this online evaluator? To use this online evaluator for Edge Length using Interplanar Distance of Cubic Crystal, enter Interplanar Spacing (d), Miller Index along x-axis (h), Miller Index along y-axis (k) & Miller Index along z-axis (l) and hit the calculate button.

FAQs on Edge Length using Interplanar Distance of Cubic Crystal

What is the formula to find Edge Length using Interplanar Distance of Cubic Crystal?

The formula of Edge Length using Interplanar Distance of Cubic Crystal is expressed as Edge Length = Interplanar Spacing*sqrt((Miller Index along x-axis^2)+(Miller Index along y-axis^2)+(Miller Index along z-axis^2)). Here is an example- 1E+12 = 7E-10*sqrt((9^2)+(4^2)+(11^2)).

How to calculate Edge Length using Interplanar Distance of Cubic Crystal?

With Interplanar Spacing (d), Miller Index along x-axis (h), Miller Index along y-axis (k) & Miller Index along z-axis (l) we can find Edge Length using Interplanar Distance of Cubic Crystal using the formula - Edge Length = Interplanar Spacing*sqrt((Miller Index along x-axis^2)+(Miller Index along y-axis^2)+(Miller Index along z-axis^2)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Edge Length?

Here are the different ways to Calculate Edge Length-

Edge Length=2*Radius of Constituent Particle
Edge Length=4*Radius of Constituent Particle/sqrt(3)
Edge Length=2*sqrt(2)*Radius of Constituent Particle

Can the Edge Length using Interplanar Distance of Cubic Crystal be negative?

Yes, the Edge Length using Interplanar Distance of Cubic Crystal, measured in Length can be negative.

Which unit is used to measure Edge Length using Interplanar Distance of Cubic Crystal?

Edge Length using Interplanar Distance of Cubic Crystal is usually measured using the Angstrom[A] for Length. Meter[A], Millimeter[A], Kilometer[A] are the few other units in which Edge Length using Interplanar Distance of Cubic Crystal can be measured.

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Edge Length using Interplanar Distance of Cubic Crystal Formula

​GoEdge length of Simple cubic unit cell Formula

​GoEdge length of Body Centered Unit Cell Formula

Edge Length using Interplanar Distance of Cubic Crystal Example

Edge Length using Interplanar Distance of Cubic Crystal Solution

Edge Length using Interplanar Distance of Cubic Crystal Formula Elements

Other Formulas to find Edge Length

Other formulas in Lattice category

How to Evaluate Edge Length using Interplanar Distance of Cubic Crystal?

FAQs on Edge Length using Interplanar Distance of Cubic Crystal

Variable Name

GoEdge length of Simple cubic unit cell Formula

GoEdge length of Body Centered Unit Cell Formula