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Edge Length of Face Centered Unit Cell 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 = 2 \cdot \sqrt{2} \cdot R

a - Edge Length?R - Radius of Constituent Particle?

Edge Length of Face Centered Unit Cell Example

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Here is how the Edge Length of Face Centered Unit Cell equation looks like with Values.

Here is how the Edge Length of Face Centered Unit Cell equation looks like with Units.

Here is how the Edge Length of Face Centered Unit Cell equation looks like.

169.7056 = 2 \cdot \sqrt{2} \cdot 60

169.7056A = 2 \cdot \sqrt{2} \cdot 60A

169.7056 = 2 \cdot \sqrt{2} \cdot 60

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Edge Length of Face Centered Unit Cell Solution

Follow our step by step solution on how to calculate Edge Length of Face Centered Unit Cell?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

a = 2 \cdot \sqrt{2} \cdot 60A

Next Step Convert Units

∴

a = 2 \cdot \sqrt{2} \cdot 6E-9m

Next Step Prepare to Evaluate

∴

a = 2 \cdot \sqrt{2} \cdot 6E-9

Next Step Evaluate

∴

a = 1.69705627484771E-08m

Next Step Convert to Output's Unit

∴

a = 169.705627484771A

LAST Step Rounding Answer

∴

a = 169.7056A

Edge Length of Face Centered Unit Cell 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

Radius of Constituent Particle

The Radius of Constituent Particle is the radius of the atom present in the unit cell.

Symbol: R

Measurement: LengthUnit: A

Note: Value can be positive or negative.

Formulas to find Radius of Constituent Particle

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 using Interplanar Distance of Cubic Crystal

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

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 of Face Centered Unit Cell?

Edge Length of Face Centered Unit Cell evaluator uses Edge Length = 2*sqrt(2)*Radius of Constituent Particle to evaluate the Edge Length, The Edge Length of Face Centered Unit Cell formula is defined as 2* 2^(1/2) times the radius of constituent particle. Edge Length is denoted by a symbol.

How to evaluate Edge Length of Face Centered Unit Cell using this online evaluator? To use this online evaluator for Edge Length of Face Centered Unit Cell, enter Radius of Constituent Particle (R) and hit the calculate button.

FAQs on Edge Length of Face Centered Unit Cell

What is the formula to find Edge Length of Face Centered Unit Cell?

The formula of Edge Length of Face Centered Unit Cell is expressed as Edge Length = 2*sqrt(2)*Radius of Constituent Particle. Here is an example- 1.7E+12 = 2*sqrt(2)*6E-09.

How to calculate Edge Length of Face Centered Unit Cell?

With Radius of Constituent Particle (R) we can find Edge Length of Face Centered Unit Cell using the formula - Edge Length = 2*sqrt(2)*Radius of Constituent Particle. 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=Interplanar Spacing*sqrt((Miller Index along x-axis^2)+(Miller Index along y-axis^2)+(Miller Index along z-axis^2))

Can the Edge Length of Face Centered Unit Cell be negative?

Yes, the Edge Length of Face Centered Unit Cell, measured in Length can be negative.

Which unit is used to measure Edge Length of Face Centered Unit Cell?

Edge Length of Face Centered Unit Cell is usually measured using the Angstrom[A] for Length. Meter[A], Millimeter[A], Kilometer[A] are the few other units in which Edge Length of Face Centered Unit Cell can be measured.

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