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Optical Tweezer Gradient Force & Dielectric Trap Calculator

Easily calculate and compute optical tweezer gradient force & dielectric trap calculator with accurate equations, live formulas, and expert guidance.

Calculated Result
29.95 pN

Peak Optical Trapping Force (F_grad)

Peak Optical Trapping Force (F_grad)

29.95 pN

Trap Stiffness P N Per Micron

119.8

Clausius Mossotti Factor

0.125

Escape Potential Barrier Kb T

3643

Particle Radius Microns

0.5

29.95 — pN

Calculation Breakdown

  1. Applied FormulaModels 3D gradient and radiation scattering forces in focused laser optical tweezers holding microscopic dielectric polystyrene beads or biological cells (Rayleigh regime a << lambda).F_{\text{grad}} = \frac{2\pi n_m a^3}{c} \left( \frac{m^2 - 1}{m^2 + 2} \right) \nabla I, \quad k_{\text{trap}} = \frac{\partial F}{\partial x}

Optical Tweezer Trap Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.07.5152230Peak Optical Trapping Force (F_grad)

What Is the Optical Tweezer Gradient Force & Dielectric Trap Calculator?

This tool computes optical tweezer gradient force & dielectric trap calculator with high precision arithmetic.

How Does the Optical Tweezer Gradient Force & Dielectric Trap Calculator Work?

Models 3D gradient and radiation scattering forces in focused laser optical tweezers holding microscopic dielectric polystyrene beads or biological cells (Rayleigh regime a << lambda).

Optical Tweezer Gradient Force & Dielectric Trap Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

Fgrad=2πnma3c(m2−1m2+2)∇I,ktrap=∂F∂xF_{\text{grad}} = \frac{2\pi n_m a^3}{c} \left( \frac{m^2 - 1}{m^2 + 2} \right) \nabla I, \quad k_{\text{trap}} = \frac{\partial F}{\partial x}

Models 3D gradient and radiation scattering forces in focused laser optical tweezers holding microscopic dielectric polystyrene beads or biological cells (Rayleigh regime a << lambda).

How to Use the Optical Tweezer Gradient Force & Dielectric Trap Calculator

  1. Enter your parameters into the designated input fields to calculate the result immediately.

Step-by-Step Example Calculation

Optical Tweezer Gradient Force & Dielectric Trap Calculator Example

Input Values:

particleRadiusMicrons:0.5
laserPowerAtFocusMilliWatts:45
particleRefractiveIndexNp:1.59
mediumRefractiveIndexNm:1.33
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required pN.

Factors That Affect the Result

  • Measurement tolerances, operational variance, and real-world conditions.

When Should You Use This Calculator?

  • Everyday budgeting, technical homework, professional estimation, and household projects.

Assumptions & Limitations

  • Assumes standard atmospheric or environmental parameters unless specified.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Double-precision IEEE 754 arithmetic with validated empirical constants.

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