Number Density Of Particle 2 Given Hamaker Coefficient Calculator

Formula Used:

\[ \rho_2 = \frac{A}{\pi^2 \times C \times \rho_1} \]

Hamaker Coefficient (A):

Joule

Coefficient of Particle–Particle Pair Interaction (C):

Number Density of particle 1 (ρ₁):

1/m³

Number Density of particle 2 (ρ₂):

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1. What is Number Density of Particle 2?

Number Density of particle 2 is an intensive quantity used to describe the degree of concentration of countable objects (particles, molecules, phonons, cells, galaxies, etc.) in physical space. It is calculated based on the Hamaker coefficient and particle-particle interaction.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \rho_2 = \frac{A}{\pi^2 \times C \times \rho_1} \]

Where:

\( \rho_2 \) — Number Density of particle 2 (1/m³)
\( A \) — Hamaker coefficient (Joule)
\( C \) — Coefficient of particle–particle pair interaction
\( \rho_1 \) — Number Density of particle 1 (1/m³)
\( \pi \) — Archimedes' constant (≈3.14159)

Explanation: This formula calculates the number density of the second particle based on the Hamaker coefficient and the interaction between particle pairs.

3. Importance of Number Density Calculation

Details: Accurate calculation of number density is crucial for understanding particle interactions, Van der Waals forces, and material properties in various physical and chemical systems.

4. Using the Calculator

Tips: Enter Hamaker coefficient in Joules, coefficient of particle-particle pair interaction, and number density of particle 1 in 1/m³. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is the Hamaker coefficient?
A: The Hamaker coefficient A can be defined for a Van der Waals body–body interaction and represents the strength of the interaction.

Q2: How is the coefficient of particle-particle pair interaction determined?
A: The coefficient of particle–particle pair interaction can be determined from the Van der Waals pair potential.

Q3: What are typical units for number density?
A: Number density is typically measured in particles per cubic meter (1/m³) in the SI system.

Q4: What physical systems use this calculation?
A: This calculation is used in colloidal science, surface chemistry, and materials science where Van der Waals interactions are important.

Q5: Are there limitations to this formula?
A: This formula assumes ideal conditions and may need adjustments for complex systems with multiple interaction types or non-spherical particles.