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Hamaker Coefficient using Potential Energy in Limit of Closest-Approach Calculator

Formula Used:

\[ A = \frac{-PE \times (R1 + R2) \times 6 \times r}{R1 \times R2} \]

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1. What is the Hamaker Coefficient?

The Hamaker coefficient A can be defined for a Van der Waals body-body interaction. It quantifies the strength of the van der Waals force between two particles or surfaces.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ A = \frac{-PE \times (R1 + R2) \times 6 \times r}{R1 \times R2} \]

Where:

Explanation: This formula calculates the Hamaker coefficient using potential energy in the limit of closest approach between two spherical bodies.

3. Importance of Hamaker Coefficient Calculation

Details: The Hamaker coefficient is crucial for understanding colloidal stability, adhesion forces, and surface interactions in various scientific and industrial applications.

4. Using the Calculator

Tips: Enter all values in appropriate units. Ensure radii and distance are positive values greater than zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is the typical range of Hamaker coefficients?
A: Hamaker coefficients typically range from 0.4 to 4 × 10⁻¹⁹ J for most materials in vacuum or air.

Q2: How does the Hamaker coefficient affect colloidal stability?
A: Higher Hamaker coefficients indicate stronger van der Waals attraction, which can lead to particle aggregation and reduced colloidal stability.

Q3: Can this formula be used for non-spherical particles?
A: This specific formula is derived for spherical bodies. Different formulations are needed for non-spherical geometries.

Q4: What factors influence the Hamaker coefficient?
A: The Hamaker coefficient depends on the material properties, intervening medium, and temperature.

Q5: How is potential energy measured in this context?
A: Potential energy is typically measured through force measurements using techniques like atomic force microscopy or surface force apparatus.

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