Nuclear Physics

Explore atomic nuclei, radioactive decay, nuclear fusion, fission reactors, and the physics powering stars.

1. Atomic Structure

Everything in the universe is made of atoms. At the center of every atom lies the nucleus, containing protons and neutrons.

Mass-Energy Equivalence

$$E = mc^2$$

Proposed by Albert Einstein, this equation shows that mass can be converted into energy. Nuclear reactions release enormous energy because tiny amounts of mass are transformed directly into energy.

Binding Energy

The nucleus is held together by the strong nuclear force, one of the four fundamental forces in physics.

2. Radioactivity & Nuclear Decay

Some atomic nuclei are unstable and spontaneously decay into more stable forms while releasing radiation.

Exponential Decay

$$N(t)=N_0 e^{-\lambda t}$$

This equation describes how radioactive materials decay over time.

Types of Radiation

Type Description
Alpha Helium nuclei, heavy and weakly penetrating
Beta Fast electrons or positrons
Gamma High-energy electromagnetic radiation

Half-Life

$$t_{1/2} = \frac{\ln(2)}{\lambda}$$

Half-life is the time required for half of a radioactive substance to decay.

3. Nuclear Fission

Nuclear fission occurs when a heavy nucleus splits into smaller nuclei, releasing massive amounts of energy.

Example: Uranium-235

$$^{235}U + n \rightarrow ^{141}Ba + ^{92}Kr + 3n + Energy$$

When Uranium-235 absorbs a neutron, it becomes unstable and splits apart.

Nuclear Power Plants

Modern reactors use controlled fission reactions to heat water and generate electricity.

A single gram of uranium can release more energy than tons of fossil fuel.

4. Nuclear Fusion

Fusion occurs when light nuclei combine into a heavier nucleus. This process powers stars, including the Sun.

$$^2H + ^3H \rightarrow ^4He + n + 17.6\ MeV$$

Hydrogen isotopes fuse together under enormous temperature and pressure conditions.

Why Fusion Matters

The Challenge

Fusion requires temperatures above 100 million degrees Celsius. Scientists use magnetic confinement systems such as tokamaks to contain the plasma.

$$F = q(v \times B)$$

Magnetic fields control charged plasma particles inside fusion reactors.

The Future

Experimental reactors such as ITER aim to achieve sustainable net-positive fusion energy for the first time in history.