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Ginzburg-Landau Parameter (κ) & Type-I / Type-II Boundary Calculator

Easily calculate and compute ginzburg-landau parameter (κ) & type-i / type-ii boundary calculator with accurate equations, live formulas, and expert guidance.

London penetration depth.

Spatial extent of Cooper pairs.

Calculated Result
2.37 κ

GL Parameter (κ)

GL Parameter (κ)

2.37 κ

Ginzburg Landau Parameter Kappa

2.368

Critical Boundary Threshold

0.7071

Superconductor Type

Type-II Superconductor (κ > 1/√2): Negative surface energy, Abrikosov vortex mixed state (Hc1 < H < Hc2)

Surface Energy Sign

Negative (favors formation of quantized magnetic vortex flux tubes)

2.37 — κ

Calculation Breakdown

  1. Applied FormulaCalculates the dimensionless Ginzburg-Landau parameter (κ = λ / ξ) to determine whether a superconductor is Type-I (κ < 0.707) or Type-II (κ > 0.707) supporting magnetic flux vortices.\kappa = \frac{\lambda}{\xi}, \quad \kappa_{\text{crit}} = \frac{1}{\sqrt{2}} \approx 0.707

Ginzburg-Landau Parameter (κ) Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.00.61.21.82.4GL Parameter (κ)

What Is the Ginzburg-Landau Parameter (κ) & Type-I / Type-II Boundary Calculator?

This tool computes ginzburg-landau parameter (κ) & type-i / type-ii boundary calculator with high precision arithmetic.

How Does the Ginzburg-Landau Parameter (κ) & Type-I / Type-II Boundary Calculator Work?

Calculates the dimensionless Ginzburg-Landau parameter (κ = λ / ξ) to determine whether a superconductor is Type-I (κ < 0.707) or Type-II (κ > 0.707) supporting magnetic flux vortices.

Ginzburg-Landau Parameter (κ) & Type-I / Type-II Boundary Calculator Formula & Variables

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

κ=λξ,κcrit=12≈0.707\kappa = \frac{\lambda}{\xi}, \quad \kappa_{\text{crit}} = \frac{1}{\sqrt{2}} \approx 0.707

Calculates the dimensionless Ginzburg-Landau parameter (κ = λ / ξ) to determine whether a superconductor is Type-I (κ < 0.707) or Type-II (κ > 0.707) supporting magnetic flux vortices.

How to Use the Ginzburg-Landau Parameter (κ) & Type-I / Type-II Boundary Calculator

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

Step-by-Step Example Calculation

Ginzburg-Landau Parameter (κ) & Type-I / Type-II Boundary Calculator Example

Input Values:

penetrationDepthNanometers:90
coherenceLengthNanometers:38
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required κ.

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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