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Total Volume of Atoms in BCC Formula

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Volume of Atoms in Unit Cell is the total volume of atoms present in the unit cell. Check FAQs

V a = \frac{8}{3} \cdot π \cdot r^{3}

V_a - Volume of Atoms in Unit Cell?r - Atomic Radius?π - Archimedes' constant?

Total Volume of Atoms in BCC Example

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With units

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Here is how the Total Volume of Atoms in BCC equation looks like with Values.

Here is how the Total Volume of Atoms in BCC equation looks like with Units.

Here is how the Total Volume of Atoms in BCC equation looks like.

20.612 = \frac{8}{3} \cdot 3.1416 \cdot {1.35}^{3}

20.612A³ = \frac{8}{3} \cdot 3.1416 \cdot {1.35A}^{3}

20.612 = \frac{8}{3} \cdot 3.1416 \cdot {1.35}^{3}

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Total Volume of Atoms in BCC Solution

Follow our step by step solution on how to calculate Total Volume of Atoms in BCC?

FIRST Step Consider the formula

V a = \frac{8}{3} \cdot π \cdot r^{3}

Next Step Substitute values of Variables

∴

V a = \frac{8}{3} \cdot π \cdot {1.35A}^{3}

Next Step Substitute values of Constants

∴

V a = \frac{8}{3} \cdot 3.1416 \cdot {1.35A}^{3}

Next Step Convert Units

∴

V a = \frac{8}{3} \cdot 3.1416 \cdot {1.4E-10m}^{3}

Next Step Prepare to Evaluate

∴

V a = \frac{8}{3} \cdot 3.1416 \cdot {1.4E-10}^{3}

Next Step Evaluate

∴

V a = 2.06119894002026E-29m³

Next Step Convert to Output's Unit

∴

V a = 20.6119894002026A³

LAST Step Rounding Answer

∴

V a = 20.612A³

Total Volume of Atoms in BCC Formula Elements

Variables

Constants

Volume of Atoms in Unit Cell

Volume of Atoms in Unit Cell is the total volume of atoms present in the unit cell.

Symbol: V_a

Measurement: VolumeUnit: A³

Note: Value should be greater than 0.

Formulas to find Volume of Atoms in Unit Cell

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

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other formulas in Body Centered Cubic category

Go Lattice Constant of BCC

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

Go Atomic Radius in BCC

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

How to Evaluate Total Volume of Atoms in BCC?

Total Volume of Atoms in BCC evaluator uses Volume of Atoms in Unit Cell = 8/3*pi*Atomic Radius^3 to evaluate the Volume of Atoms in Unit Cell, Total Volume of Atoms in BCC (BCC) unit cell is the sum of the volumes of two atoms, since there is one atom at the center and eight corner atoms, each contributing one-eighth, resulting in a total of two whole atoms occupying the cell. Volume of Atoms in Unit Cell is denoted by V_a symbol.

How to evaluate Total Volume of Atoms in BCC using this online evaluator? To use this online evaluator for Total Volume of Atoms in BCC, enter Atomic Radius (r) and hit the calculate button.

FAQs on Total Volume of Atoms in BCC

What is the formula to find Total Volume of Atoms in BCC?

The formula of Total Volume of Atoms in BCC is expressed as Volume of Atoms in Unit Cell = 8/3*pi*Atomic Radius^3. Here is an example- 2.1E+31 = 8/3*pi*1.35E-10^3.

How to calculate Total Volume of Atoms in BCC?

With Atomic Radius (r) we can find Total Volume of Atoms in BCC using the formula - Volume of Atoms in Unit Cell = 8/3*pi*Atomic Radius^3. This formula also uses Archimedes' constant .

Can the Total Volume of Atoms in BCC be negative?

No, the Total Volume of Atoms in BCC, measured in Volume cannot be negative.

Which unit is used to measure Total Volume of Atoms in BCC?

Total Volume of Atoms in BCC is usually measured using the Cubic Angstrom[A³] for Volume. Cubic Meter[A³], Cubic Centimeter[A³], Cubic Millimeter[A³] are the few other units in which Total Volume of Atoms in BCC can be measured.

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