Radioactive Decay & Half-LifeMathematics

Radioactive Decay & Isotope Half-Life Physics Calculator

Calculate remaining isotope substance N(t), percentage decayed, elapsed half-life cycles, and activity decay for Carbon-14 dating and nuclear medicine pharmacology.

Calculator Inputs

Live Real-Time
grams
Quick select:
time
Quick select:
time
Quick select:
Calculated ResultRadioactive Decay & Half-Life

Remaining Radioisotope Quantity N(t)

13grams

Remaining Percentage (%)

13%

Decayed / Disintegrated Mass

87 grams

Elapsed Half-Life Cycles

3 cycles

Exponential Half-Life: Substance mass halves precisely with each completed cycle.

Decay Substance Balance

Remaining Substance
13 g(7%)
Decayed Substance
87 g(44%)
Initial Mass N₀
100 g(50%)

Detailed Calculation Breakdown

Remaining Substance
13 g
Decayed Substance
87 g
Initial Mass N₀
100 g

Calculation Methodology

Decay Law: N(t) = N0 * (1/2)^(t / T_half). Decayed Mass = N0 - N(t). Half-life cycles = t / T_half.

Important Legal & Educational Disclaimer

This nuclear physics tool models continuous exponential isotope decay.

This calculator is designed for educational and informational purposes only based on public statutory frameworks. The outputs do not constitute binding financial, tax, or legal advice. We assume no liability for decisions made based on these estimations. Always verify with the relevant official authorities or a certified professional advisor.

Frequently Asked Questions

The time required for a quantity of a radioisotope to reduce to half of its initial value through spontaneous nuclear disintegration.
Related Calculators

Related Calculators

Recommended tools and calculators tailored to your current calculation

Explore all tools
Ideal Gas Law (PV = nRT)Global / Universal

Ideal Gas Law Physics Calculator (PV = nRT Equation of State)

Calculate pressure (P), volume (V), absolute temperature (T in Kelvin), and moles (n) for thermodynamic and chemical engineering systems.

Chemistry & SolutionsPhysics & Classical Mechanics
Open Calculator
Boyle's Law & Gas DynamicsGlobal / Universal

Boyle's Law Physics Calculator (Gas Pressure & Volume P1V1 = P2V2)

Calculate final compressed or expanded gas volume (V2) and pressure (P2) at constant temperature under Boyle's Law isothermal gas dynamics.

Chemistry & SolutionsPhysics & Classical Mechanics
Open Calculator
Specific Heat (Q = mcΔT)Global / Universal

Specific Heat Capacity & Thermal Heat Transfer Physics Calculator (Q = mcΔT)

Calculate thermal energy absorbed or released in Joules, Kilocalories, and Watt-hours (Q), specific heat capacity c, and temperature delta ΔT across matter.

Physics & Classical MechanicsChemistry & SolutionsHVAC & BTU Cooling
Open Calculator
Atmospheric Pressure & AltitudeGlobal / Universal

Barometric Atmospheric Pressure, Air Density & Altitude Physics Calculator

Calculate standard atmospheric barometric pressure in hPa/mbar, air density (kg/m³), pressure percentage, and water boiling point temperature across any elevation above sea level.

Physics & Classical MechanicsAstronomy & AstrophysicsChemistry & Solutions
Open Calculator
Temperature Multi-Scale ConverterGlobal / Universal

Temperature Multi-Scale Converter (Celsius, Fahrenheit, Kelvin, Rankine)

Instantly convert temperature values across thermodynamic and meteorological scales: Celsius (°C), Fahrenheit (°F), Kelvin (K), and Rankine (°R).

Unit Conversion & ScalesPhysics & Classical MechanicsChemistry & Solutions
Open Calculator
Mass & Weight Multi-Unit ConverterGlobal / Universal

Mass & Weight Multi-Unit Converter (Kilograms, Pounds, Ounces, Grams, Troy Ounces)

Convert seamlessly across metric and imperial weight measurements: Kilograms (kg), Pounds (lb), Ounces (oz), Grams (g), Metric Tons (t), Stone (st), and Precious Metal Troy Ounces (oz t).

Unit Conversion & ScalesPhysics & Classical Mechanics
Open Calculator
Depth of Field (DoF) & BokehGlobal / Universal

Camera Depth of Field (DoF) & Hyperfocal Distance Optics Calculator

Calculate shallow and deep depth of field (DoF in cm), near and far focus limits, and hyperfocal distance across Full Frame, APS-C, and Micro Four Thirds sensors.

Optics, Acoustics & WavesPhysics & Classical Mechanics
Open Calculator
Mach Number & AltitudeGlobal / Universal

Aerodynamic Mach Number & Speed of Sound by Altitude Calculator

Calculate flight Mach number (M = TAS / a), speed of sound in km/h, knots, and m/s across international standard atmosphere (ISA) altitudes, and determine flight aerodynamic regimes.

Physics & Classical MechanicsOptics, Acoustics & Waves
Open Calculator