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Lattice Parameter of FCC Formula

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Lattice Parameter of FCC (Face Centered Cubic) is defined as the length between two points on the corners of an FCC unit cell. Check FAQs

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

a_FCC - Lattice Parameter of FCC?r - Atomic Radius?

Lattice Parameter of FCC Example

With values

With units

Only example

Here is how the Lattice Parameter of FCC equation looks like with Values.

Here is how the Lattice Parameter of FCC equation looks like with Units.

Here is how the Lattice Parameter of FCC equation looks like.

3.5072 = 2 \cdot 1.24 \cdot \sqrt{2}

3.5072A = 2 \cdot 1.24A \cdot \sqrt{2}

3.5072 = 2 \cdot 1.24 \cdot \sqrt{2}

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Lattice Parameter of FCC Solution

Follow our step by step solution on how to calculate Lattice Parameter of FCC?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

a FCC = 2 \cdot 1.24A \cdot \sqrt{2}

Next Step Convert Units

∴

a FCC = 2 \cdot 1.2E-10m \cdot \sqrt{2}

Next Step Prepare to Evaluate

∴

a FCC = 2 \cdot 1.2E-10 \cdot \sqrt{2}

Next Step Evaluate

∴

a FCC = 3.50724963468528E-10m

Next Step Convert to Output's Unit

∴

a FCC = 3.50724963468528A

LAST Step Rounding Answer

∴

a FCC = 3.5072A

Lattice Parameter of FCC Formula Elements

Variables

Functions

Lattice Parameter of FCC

Lattice Parameter of FCC (Face Centered Cubic) is defined as the length between two points on the corners of an FCC unit cell.

Symbol: a_FCC

Measurement: LengthUnit: A

Note: Value should be greater than 0.

Formulas to find Lattice Parameter of FCC

Atomic Radius

Atomic Radius is the radius of the atom which forms the metallic crystal.

Symbol: r

Measurement: LengthUnit: A

Note: Value should be greater than 0.

Formulas to find Atomic Radius

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 in Crystal Lattice category

Go Lattice Parameter of BCC

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

Go Interplanar Spacing of Crystal

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

Go Interplanar Spacing of Crystal given Lattice Parameter

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

Go Number of atomic sites

N = \frac{ρ}{A}

How to Evaluate Lattice Parameter of FCC?

Lattice Parameter of FCC evaluator uses Lattice Parameter of FCC = 2*Atomic Radius*sqrt(2) to evaluate the Lattice Parameter of FCC, Lattice parameter of FCC is the edge length of FCC unit cell. Lattice Parameter of FCC is denoted by a_FCC symbol.

How to evaluate Lattice Parameter of FCC using this online evaluator? To use this online evaluator for Lattice Parameter of FCC, enter Atomic Radius (r) and hit the calculate button.

FAQs on Lattice Parameter of FCC

What is the formula to find Lattice Parameter of FCC?

The formula of Lattice Parameter of FCC is expressed as Lattice Parameter of FCC = 2*Atomic Radius*sqrt(2). Here is an example- 3.5E+10 = 2*1.24E-10*sqrt(2).

How to calculate Lattice Parameter of FCC?

With Atomic Radius (r) we can find Lattice Parameter of FCC using the formula - Lattice Parameter of FCC = 2*Atomic Radius*sqrt(2). This formula also uses Square Root (sqrt) function(s).

Can the Lattice Parameter of FCC be negative?

No, the Lattice Parameter of FCC, measured in Length cannot be negative.

Which unit is used to measure Lattice Parameter of FCC?

Lattice Parameter of FCC is usually measured using the Angstrom[A] for Length. Meter[A], Millimeter[A], Kilometer[A] are the few other units in which Lattice Parameter of FCC can be measured.

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