Skip to main content
CalcPro

Dielectrophoresis (DEP) Force & Clausius-Mossotti Factor Calculator

Easily calculate and compute dielectrophoresis (dep) force & clausius-mossotti factor calculator with accurate equations, live formulas, and expert guidance.

Calculated Result
690.9 pN

DEP Force Magnitude (|F_DEP|)

DEP Force Magnitude (|F_DEP|)

690.9 pN

Dep Force Pico Newtons

690.8970098555878

Dep Trapping Mode

Positive DEP (pDEP - Attracted to Electrodes)

Particle Volume Um3

1767.1458676442585

Particle Radius Um

7.5

690.9 — pN

Calculation Breakdown

  1. Applied FormulaCalculates the dielectrophoretic force (F_DEP in picoNewtons) and real Clausius-Mossotti factor Re[K] acting on cells and microparticles in non-uniform AC electric fields for cell sorting.\mathbf{F}_{\text{DEP}} = 2 \pi \varepsilon_m r^3 \operatorname{Re}[K(\omega)] \nabla |\mathbf{E}|^2, \quad K(\omega) = \frac{\varepsilon_p^* - \varepsilon_m^*}{\varepsilon_p^* + 2\varepsilon_m^*}

Dielectrophoresis (DEP) Force Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.0173345518691DEP Force Magnitude (|F_DEP|)

What Is the Dielectrophoresis (DEP) Force & Clausius-Mossotti Factor Calculator?

The Dielectrophoresis (DEP) Force & Clausius-Mossotti Factor Calculator computes results using established domain formulas, verified conversion factors, and user-entered parameters.

How Does the Dielectrophoresis (DEP) Force & Clausius-Mossotti Factor Calculator Work?

Calculates the dielectrophoretic force (F_DEP in picoNewtons) and real Clausius-Mossotti factor Re[K] acting on cells and microparticles in non-uniform AC electric fields for cell sorting.

Dielectrophoresis (DEP) Force & Clausius-Mossotti Factor Calculator Formula & Variables

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

FDEP=2πεmr3Re⁡[K(ω)]∇∣E∣2,K(ω)=εp∗−εm∗εp∗+2εm∗\mathbf{F}_{\text{DEP}} = 2 \pi \varepsilon_m r^3 \operatorname{Re}[K(\omega)] \nabla |\mathbf{E}|^2, \quad K(\omega) = \frac{\varepsilon_p^* - \varepsilon_m^*}{\varepsilon_p^* + 2\varepsilon_m^*}

Calculates the dielectrophoretic force (F_DEP in picoNewtons) and real Clausius-Mossotti factor Re[K] acting on cells and microparticles in non-uniform AC electric fields for cell sorting.

How to Use the Dielectrophoresis (DEP) Force & Clausius-Mossotti Factor Calculator

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

Step-by-Step Example Calculation

Dielectrophoresis (DEP) Force & Clausius-Mossotti Factor Calculator Example

Input Values:

particleRadiusUm:7.5
realClausiusMossottiReK:0.75
electricFieldGradientV2M3:500000000000000
mediumPermittivityRelative:78.5
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.

\n

Related Calculators

Explore more tools and calculators in Physics Calculators

Length Converter

Convert length and distance between metric and imperial units including meters, feet, inches, kilometers, miles, and yards with exact SI definitions.

Percentage Calculator

Calculate percentages: what % X is of Y, P% of X, % change, discount price, and percentage points.

Temperature Converter

Convert temperatures between Celsius (°C), Fahrenheit (°F), Kelvin (K), and Rankine (°R) with step-by-step thermodynamic formulas.

Ohm's Law & Electrical Power Calculator

Calculate Voltage (V), Current (I), Resistance (R), and Electrical Power (P) across DC circuits.

Density, Mass & Volume Calculator

Calculate density (ρ = m/V), material mass, or physical volume for solids, liquids, and gases.

Steam Turbine Surface Condenser Cooling Water Duty Calculator

Calculates surface condenser thermal heat rejection (MWth), circulating cooling water pumping volume (m³/h), and steam condensation rate.