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Gibbs-Thomson Melting Point Depression & Curvature Calculator

Easily calculate and compute gibbs-thomson melting point depression & curvature calculator with accurate equations, live formulas, and expert guidance.

Calculated Result
13.95 K

Interface Undercooling / Melting Depression (Delta_T_r)

Interface Undercooling / Melting Depression (Delta_T_r)

13.95 K

Suppressed Melting Point Kelvin

919

Gibbs Thomson Capillary Constant M K

1.046e-7

Laplace Pressure Difference Mpa

16

13.95 — K

Calculation Breakdown

  1. Applied FormulaCalculates local equilibrium liquidus melting point depression at curved solid-liquid interfaces, nanoparticle radii, and dendrite tips using the Gibbs-Thomson capillarity coefficient Gamma_GT.\Delta T_r = T_m - T_r = \frac{2 \gamma_{sl} T_m}{\Delta H_f \cdot r} = \Gamma_{\text{GT}} \left( \frac{1}{r_1} + \frac{1}{r_2} \right)

Gibbs-Thomson Curvature Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.03.57.01014Interface Undercooling / Melting Depression (Delta_T_r)

What Is the Gibbs-Thomson Melting Point Depression & Curvature Calculator?

This tool computes gibbs-thomson melting point depression & curvature calculator with high precision arithmetic.

How Does the Gibbs-Thomson Melting Point Depression & Curvature Calculator Work?

Calculates local equilibrium liquidus melting point depression at curved solid-liquid interfaces, nanoparticle radii, and dendrite tips using the Gibbs-Thomson capillarity coefficient Gamma_GT.

Gibbs-Thomson Melting Point Depression & Curvature Calculator Formula & Variables

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

ΔTr=Tm−Tr=2γslTmΔHf⋅r=ΓGT(1r1+1r2)\Delta T_r = T_m - T_r = \frac{2 \gamma_{sl} T_m}{\Delta H_f \cdot r} = \Gamma_{\text{GT}} \left( \frac{1}{r_1} + \frac{1}{r_2} \right)

Calculates local equilibrium liquidus melting point depression at curved solid-liquid interfaces, nanoparticle radii, and dendrite tips using the Gibbs-Thomson capillarity coefficient Gamma_GT.

How to Use the Gibbs-Thomson Melting Point Depression & Curvature Calculator

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

Step-by-Step Example Calculation

Gibbs-Thomson Melting Point Depression & Curvature Calculator Example

Input Values:

bulkMeltingTemperatureKelvin:933
solidLiquidInterfacialEnergyJPerM2:0.12
latentHeatOfFusionJPerM3:1070000000
interfaceCurvatureRadiusNm:15
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required K.

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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