Lattice Constant of FCC Calculator

✖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 Constant of FCC [a_FCC]

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Lattice Constant of FCC Solution

STEP 0: Pre-Calculation Summary

Formula Used

Lattice Parameter of FCC = 2*sqrt(2)*Atomic Radius
a_FCC = 2*sqrt(2)*r
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: 1.35 Angstrom --> 1.35E-10 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

a_FCC = 2*sqrt(2)*r --> 2*sqrt(2)*1.35E-10

Evaluating ... ...

a_FCC = 3.81837661840736E-10

STEP 3: Convert Result to Output's Unit

3.81837661840736E-10 Meter -->3.81837661840736 Angstrom (Check conversion here)

FINAL ANSWER

3.81837661840736 ≈ 3.818377 Angstrom <-- Lattice Parameter of FCC

(Calculation completed in 00.004 seconds)

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Created by Sanjay Krishna

Amrita School of Engineering (ASE), Vallikavu

Sanjay Krishna has created this Calculator and 300+ more calculators!

Verified by Rushi Shah

K J Somaiya College of Engineering (K J Somaiya), Mumbai

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< Face Centered Crystal Calculators

Volume of Atoms in FCC

LaTeX Go Volume of Atoms in Unit Cell = 16/3*pi*Atomic Radius^3

Atomic Radius in FCC

LaTeX Go Atomic Radius = Lattice Parameter of FCC/(2*sqrt(2))

Lattice Constant of FCC

LaTeX Go Lattice Parameter of FCC = 2*sqrt(2)*Atomic Radius

Lattice Constant of FCC Formula

LaTeX Go

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

Calculator for finding the lattice constant of FCC

For a face-centered cubic unit cell, the number of atoms is four. A line can be drawn from the top corner of a cube diagonally to the bottom corner on the same side of the cube, which is equal to 4r. Using geometry, and the side length, a can be related to r as a =2r*sqrt(2)

How to Calculate Lattice Constant of FCC?

Lattice Constant of FCC calculator uses Lattice Parameter of FCC = 2*sqrt(2)*Atomic Radius to calculate 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 calculate Lattice Constant of FCC using this online calculator? To use this online calculator for Lattice Constant of FCC, enter Atomic Radius (r) and hit the calculate button. Here is how the Lattice Constant of FCC calculation can be explained with given input values -> 3.8E+10 = 2*sqrt(2)*1.35E-10.

FAQ

What is Lattice Constant 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 and is represented as a_FCC = 2*sqrt(2)*r or Lattice Parameter of FCC = 2*sqrt(2)*Atomic Radius. Atomic Radius is the radius of the atom which forms the metallic crystal.

How to calculate Lattice Constant 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 is calculated using Lattice Parameter of FCC = 2*sqrt(2)*Atomic Radius. To calculate Lattice Constant 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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