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How to obtain particles to accelerate

Electrons: Heating a metal causes electrons to be ejected. A television, like a cathode ray tube, uses this mechanism.

Protons: They can easily be obtained by ionizing hydrogen.

Antiparticles: To get antiparticles, first have energetic particles hit a target. Then pairs of particles and antiparticles will be created via virtual photons or gluons. Magnetic fields can be used to separate them.