Density of cubic crystals Calculator

✖Effective Number of Atoms in Unit Cell, that is after accounting for number of unit cells that share the atom. Example : For FCC, z=4; for BCC, z=2; for SC, z=1.ⓘ Effective Number of Atoms in Unit Cell [z]			+10% -10%
✖Atomic Mass of the metal.ⓘ Atomic Mass [A]			+10% -10%
✖Lattice Parameter is defined as the length between two points on the corners of a unit cell.ⓘ Lattice Parameter [a]			+10% -10%

✖The Density of a material shows the denseness of that material in a specific given area. This is taken as mass per unit volume of a given object.ⓘ Density of cubic crystals [ρ]

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Formula

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Density of cubic crystals

Formula

`"ρ" = "z"*"A"/("[Avaga-no]"*("a")^3)`

Example

`"27014.98kg/m³"="4"*"63.55g/mol"/("[Avaga-no]"*("2.5A")^3)`

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Density of cubic crystals Solution

STEP 0: Pre-Calculation Summary

Formula Used

Density = Effective Number of Atoms in Unit Cell*Atomic Mass/([Avaga-no]*(Lattice Parameter)^3)
ρ = z*A/([Avaga-no]*(a)^3)
This formula uses 1 Constants, 4 Variables

Constants Used

[Avaga-no] - Avogadro’s number Value Taken As 6.02214076E+23

Variables Used

Density - (Measured in Kilogram per Cubic Meter) - The Density of a material shows the denseness of that material in a specific given area. This is taken as mass per unit volume of a given object.
Effective Number of Atoms in Unit Cell - Effective Number of Atoms in Unit Cell, that is after accounting for number of unit cells that share the atom. Example : For FCC, z=4; for BCC, z=2; for SC, z=1.
Atomic Mass - (Measured in Kilogram Per Mole) - Atomic Mass of the metal.
Lattice Parameter - (Measured in Meter) - Lattice Parameter is defined as the length between two points on the corners of a unit cell.

STEP 1: Convert Input(s) to Base Unit

Effective Number of Atoms in Unit Cell: 4 --> No Conversion Required
Atomic Mass: 63.55 Gram Per Mole --> 0.06355 Kilogram Per Mole (Check conversion here)
Lattice Parameter: 2.5 Angstrom --> 2.5E-10 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ρ = z*A/([Avaga-no]*(a)^3) --> 4*0.06355/([Avaga-no]*(2.5E-10)^3)

Evaluating ... ...

ρ = 27014.9779760379

STEP 3: Convert Result to Output's Unit

27014.9779760379 Kilogram per Cubic Meter --> No Conversion Required

FINAL ANSWER

27014.9779760379 ≈ 27014.98 Kilogram per Cubic Meter <-- Density

(Calculation completed in 00.020 seconds)

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Created by Hariharan V S

Indian Institute of Technology (IIT), Chennai

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< 6 Crystal Lattice Calculators

Interplanar Spacing of Crystal given Lattice Parameter

Go Interplanar Spacing = Lattice Parameter/sqrt(Miller Index h^2+Miller Index k^2+Miller Index l^2)

Density of cubic crystals

Go Density = Effective Number of Atoms in Unit Cell*Atomic Mass/([Avaga-no]*(Lattice Parameter)^3)

Interplanar Spacing of Crystal

Go Interplanar Spacing = Order of reflection*Wavelength of X-ray/(2*sin(Angle of Incidence))

Lattice Parameter of FCC

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

Lattice Parameter of BCC

Go Lattice Parameter of BCC = 4*Atomic Radius/sqrt(3)

Number of atomic sites

Go Number of atomic sites = Density/Atomic Mass

Density of cubic crystals Formula

Density = Effective Number of Atoms in Unit Cell*Atomic Mass/([Avaga-no]*(Lattice Parameter)^3)
ρ = z*A/([Avaga-no]*(a)^3)

Density of a metallic crystal

Theoretical density of a metallic crystal is computed by accounting for its crystal structure, atomic mass and volume of the unit cell. The above formula is applicable only to cubic systems.

How to Calculate Density of cubic crystals?

Density of cubic crystals calculator uses Density = Effective Number of Atoms in Unit Cell*Atomic Mass/([Avaga-no]*(Lattice Parameter)^3) to calculate the Density, Density of cubic crystals is the ratio of mass of atoms that constitute an unit cell and volume of the unit cell. Density is denoted by ρ symbol.

How to calculate Density of cubic crystals using this online calculator? To use this online calculator for Density of cubic crystals, enter Effective Number of Atoms in Unit Cell (z), Atomic Mass (A) & Lattice Parameter (a) and hit the calculate button. Here is how the Density of cubic crystals calculation can be explained with given input values -> 27014.98 = 4*0.06355/([Avaga-no]*(2.5E-10)^3).

FAQ

What is Density of cubic crystals?

Density of cubic crystals is the ratio of mass of atoms that constitute an unit cell and volume of the unit cell and is represented as ρ = z*A/([Avaga-no]*(a)^3) or Density = Effective Number of Atoms in Unit Cell*Atomic Mass/([Avaga-no]*(Lattice Parameter)^3). Effective Number of Atoms in Unit Cell, that is after accounting for number of unit cells that share the atom. Example : For FCC, z=4; for BCC, z=2; for SC, z=1, Atomic Mass of the metal & Lattice Parameter is defined as the length between two points on the corners of a unit cell.

How to calculate Density of cubic crystals?

Density of cubic crystals is the ratio of mass of atoms that constitute an unit cell and volume of the unit cell is calculated using Density = Effective Number of Atoms in Unit Cell*Atomic Mass/([Avaga-no]*(Lattice Parameter)^3). To calculate Density of cubic crystals, you need Effective Number of Atoms in Unit Cell (z), Atomic Mass (A) & Lattice Parameter (a). With our tool, you need to enter the respective value for Effective Number of Atoms in Unit Cell, Atomic Mass & Lattice Parameter 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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