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Lattice Parameter of FCC Calculator

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✖Atomic Radius is the radius of the atom which forms the metallic crystal.ⓘ Atomic Radius [r]

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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.ⓘ Lattice Parameter of FCC [a_FCC]

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Lattice Parameter of FCC Solution

STEP 0: Pre-Calculation Summary

Formula Used

Lattice Parameter of FCC = 2*Atomic Radius*sqrt(2)
a_FCC = 2*r*sqrt(2)
This formula uses 1 Functions, 2 Variables

Functions Used

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., sqrt(Number)

Variables Used

Lattice Parameter of FCC - (Measured in Meter) - Lattice Parameter of FCC (Face Centered Cubic) is defined as the length between two points on the corners of an FCC unit cell.
Atomic Radius - (Measured in Meter) - Atomic Radius is the radius of the atom which forms the metallic crystal.

STEP 1: Convert Input(s) to Base Unit

Atomic Radius: 1.24 Angstrom --> 1.24E-10 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

a_FCC = 2*r*sqrt(2) --> 2*1.24E-10*sqrt(2)

Evaluating ... ...

a_FCC = 3.50724963468528E-10

STEP 3: Convert Result to Output's Unit

3.50724963468528E-10 Meter -->3.50724963468528 Angstrom (Check conversion here)

FINAL ANSWER

3.50724963468528 ≈ 3.50725 Angstrom <-- Lattice Parameter of FCC

(Calculation completed in 00.006 seconds)

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Lattice Parameter of FCC Formula

LaTeX Go

Lattice Parameter of FCC = 2*Atomic Radius*sqrt(2)
a_FCC = 2*r*sqrt(2)

Lattice parameter of FCC crystal

Face centered cubic (FCC) crystal has one atom in each corner of a cube and one atom at the center of each face. The lattice parameter is calculated by correlating atomic radius and diagonal length of the unit cell (cube).

Unit Cell

The atomic order in crystalline solids indicates that small groups of atoms form a
repetitive pattern.Thus, in order to describe crystal structures, it is convenient to divide the structure into small repeating entities called unit cells. In simple terms, unit cell is the smallest repeating entity that can represent the crystal structure.

How to Calculate Lattice Parameter of FCC?

Lattice Parameter of FCC calculator uses Lattice Parameter of FCC = 2*Atomic Radius*sqrt(2) to calculate 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 calculate Lattice Parameter of FCC using this online calculator? To use this online calculator for Lattice Parameter of FCC, enter Atomic Radius (r) and hit the calculate button. Here is how the Lattice Parameter of FCC calculation can be explained with given input values -> 3.5E+10 = 2*1.24E-10*sqrt(2).

FAQ

What is Lattice Parameter of FCC?

Lattice parameter of FCC is the edge length of FCC unit cell and is represented as a_FCC = 2*r*sqrt(2) or Lattice Parameter of FCC = 2*Atomic Radius*sqrt(2). Atomic Radius is the radius of the atom which forms the metallic crystal.

How to calculate Lattice Parameter of FCC?

Lattice parameter of FCC is the edge length of FCC unit cell is calculated using Lattice Parameter of FCC = 2*Atomic Radius*sqrt(2). To calculate Lattice Parameter of FCC, you need Atomic Radius (r). With our tool, you need to enter the respective value for Atomic Radius and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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