Theoretical Density Solution

STEP 0: Pre-Calculation Summary
Formula Used
Theoretical Density = Total Volume of Unit Cell/Mass of Atom
ρ' = V/M
This formula uses 3 Variables
Variables Used
Theoretical Density - (Measured in Kilogram per Cubic Meter) - Theoretical Density is the maximum achievable density of a particular element, compound or alloy, assuming no internal voids or contaminants.
Total Volume of Unit Cell - (Measured in Cubic Meter) - The Total Volume of Unit Cell is geometrical volume of unit cell.
Mass of Atom - (Measured in Kilogram) - The Mass of Atom is the mass of single atom present in the unit cell.
STEP 1: Convert Input(s) to Base Unit
Total Volume of Unit Cell: 2E+31 Cubic Angstrom --> 20 Cubic Meter (Check conversion ​here)
Mass of Atom: 42 Gram --> 0.042 Kilogram (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ρ' = V/M --> 20/0.042
Evaluating ... ...
ρ' = 476.190476190476
STEP 3: Convert Result to Output's Unit
476.190476190476 Kilogram per Cubic Meter --> No Conversion Required
FINAL ANSWER
476.190476190476 476.1905 Kilogram per Cubic Meter <-- Theoretical Density
(Calculation completed in 00.020 seconds)

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Parameters Calculators

Linear Thermal Expansion
​ LaTeX ​ Go Change in Length = Coefficient of Thermal Expansion*Length of Bar*Difference in Temperature
Atomic Packing Factor
​ LaTeX ​ Go Atomic Packing Factor = Volume of Atoms in Unit Cell/Volume of Unit Cell
Theoretical Density
​ LaTeX ​ Go Theoretical Density = Total Volume of Unit Cell/Mass of Atom
Poisson Ratio
​ LaTeX ​ Go Poisson's Ratio = Lateral Strain/Longitudinal Strain

Theoretical Density Formula

​LaTeX ​Go
Theoretical Density = Total Volume of Unit Cell/Mass of Atom
ρ' = V/M

Theoretical density of object

The maximum achievable density of a particular element, compound or alloy, assuming no internal voids or contaminants. It is calculated from the number of atoms per unit cell and measurement of the lattice parameters.

Why theoretical density is important?

Theoretical density is an important parameter used to estimate the porosity of materials after sintering, especially if the requirements for the materials' densities are strict, such as in the case of the parts of solid oxide fuel cells.

How to Calculate Theoretical Density?

Theoretical Density calculator uses Theoretical Density = Total Volume of Unit Cell/Mass of Atom to calculate the Theoretical Density, Theoretical Density is the maximum achievable density of a particular element, compound, or alloy, assuming no internal voids or contaminants. It is calculated from the number of atoms per unit cell and the measurement of the lattice parameters. Theoretical Density is denoted by ρ' symbol.

How to calculate Theoretical Density using this online calculator? To use this online calculator for Theoretical Density, enter Total Volume of Unit Cell (V) & Mass of Atom (M) and hit the calculate button. Here is how the Theoretical Density calculation can be explained with given input values -> 476.1905 = 20/0.042.

FAQ

What is Theoretical Density?
Theoretical Density is the maximum achievable density of a particular element, compound, or alloy, assuming no internal voids or contaminants. It is calculated from the number of atoms per unit cell and the measurement of the lattice parameters and is represented as ρ' = V/M or Theoretical Density = Total Volume of Unit Cell/Mass of Atom. The Total Volume of Unit Cell is geometrical volume of unit cell & The Mass of Atom is the mass of single atom present in the unit cell.
How to calculate Theoretical Density?
Theoretical Density is the maximum achievable density of a particular element, compound, or alloy, assuming no internal voids or contaminants. It is calculated from the number of atoms per unit cell and the measurement of the lattice parameters is calculated using Theoretical Density = Total Volume of Unit Cell/Mass of Atom. To calculate Theoretical Density, you need Total Volume of Unit Cell (V) & Mass of Atom (M). With our tool, you need to enter the respective value for Total Volume of Unit Cell & Mass of Atom 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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