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Lattice Constant 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 \sqrt{2} \cdot r

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

Lattice Constant of FCC Example

With values

With units

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

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

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

3.8184 = 2 \cdot \sqrt{2} \cdot 1.35

3.8184A = 2 \cdot \sqrt{2} \cdot 1.35A

3.8184 = 2 \cdot \sqrt{2} \cdot 1.35

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Lattice Constant of FCC Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

a FCC = 2 \cdot \sqrt{2} \cdot 1.35A

Next Step Convert Units

∴

a FCC = 2 \cdot \sqrt{2} \cdot 1.4E-10m

Next Step Prepare to Evaluate

∴

a FCC = 2 \cdot \sqrt{2} \cdot 1.4E-10

Next Step Evaluate

∴

a FCC = 3.81837661840736E-10m

Next Step Convert to Output's Unit

∴

a FCC = 3.81837661840736A

LAST Step Rounding Answer

∴

a FCC = 3.8184A

Lattice Constant 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 Face Centered Crystal category

Go Atomic Radius in FCC

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

Go Volume of Atoms in FCC

V a = \frac{16}{3} \cdot π \cdot r^{3}

How to Evaluate Lattice Constant of FCC?

Lattice Constant of FCC evaluator uses Lattice Parameter of FCC = 2*sqrt(2)*Atomic Radius to evaluate the Lattice Parameter of FCC, Lattice Constant of FCC (FCC) structure is a fundamental parameter that describes the size of the unit cell in a crystalline material. In an FCC lattice, atoms are located at each of the corners and the centers of all the cube faces. Lattice Parameter of FCC is denoted by a_FCC symbol.

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

FAQs on Lattice Constant of FCC

What is the formula to find Lattice Constant of FCC?

The formula of Lattice Constant of FCC is expressed as Lattice Parameter of FCC = 2*sqrt(2)*Atomic Radius. Here is an example- 3.8E+10 = 2*sqrt(2)*1.35E-10.

How to calculate Lattice Constant of FCC?

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

Can the Lattice Constant of FCC be negative?

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

Which unit is used to measure Lattice Constant of FCC?

Lattice Constant 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 Constant of FCC can be measured.

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