Proton to Neutron Ratio Calculator

Nuclear Stability Analysis

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P/N Ratio Calculator

Calculate proton to neutron ratio and predict nuclear stability.

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Nuclear Binding Energy Calculator

Calculate nuclear binding energy and mass defect.

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Nuclear Stability Predictor

Predict nuclear stability based on nucleon composition.

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Understanding Nuclear Stability

Basic Principles

Key concepts include:

  • Nuclear force
  • Mass-energy equivalence
  • Nuclear shell model
  • Magic numbers
  • Belt of stability

Stability Rules

Important factors:

  • Even-Even Nuclei:
    • Most stable configuration
    • Higher binding energy
  • Magic Numbers:
    • 2, 8, 20, 28, 50, 82, 126
    • Enhanced stability

Nuclear Forces

Key interactions:

  • Strong nuclear force
  • Electromagnetic repulsion
  • Weak nuclear force
  • Nuclear binding energy
  • Mass defect

Applications

Common uses include:

  • Nuclear medicine
  • Radioisotope dating
  • Nuclear power
  • Research
  • Material analysis

Essential Nuclear Formulas

P/N Ratio

P/N = Z/(A-Z)

Where:

Z = Atomic number

A = Mass number

Binding Energy

ΔE = Δm × c²

Where:

Δm = Mass defect

c = Speed of light

Mass Defect

Δm = Zmp + Nmn - M

Where:

mp = Proton mass

mn = Neutron mass

M = Actual mass