cyclotron (1)

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cyclotron: principle and its working

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Page 2: Cyclotron (1)

Cyclotrons accelerate charged particles using a high-frequency, alternating voltage (potential difference). The cyclotron was invented by Leo Szilárd and first manufactured by Ernest Lawrence

Page 3: Cyclotron (1)

A positively charged particle can be accelerated to high energy with the help of an oscillating electric field, by making it cross the same electric field time and again with the use of a strong magnetic field.

Page 4: Cyclotron (1)
Page 5: Cyclotron (1)

D1 and D2 are hollow evacuated metal chambers called dees . The dees are connected to a high frequency oscillator. The two dees are enclosed in a evacuated steel box. The box is placed in a strong magnetic field produced by two pole pieces of electromagnet.

Page 6: Cyclotron (1)
Page 7: Cyclotron (1)

The positive ion to be accelerated is placed in between the dees. Let D1 is at negative potential and D2 is at positive potential. The ion will be accelerated towards D1

On reaching inside D1 the ion will be in field free space(electric field is zero).Due to perpendicular magnetic field it describes a semi circular path inside D1 of radius r=mv/Bq.

Page 8: Cyclotron (1)

Time taken by the ion to cover semi circular path is t= πm/Bq. This time is independent of speed of the ion and radius of its path.

The time during which positive ion describe a semi circular path is equal to the time of half cycle of electric oscillator and at the same instant polarity of the dees are reversed.

Now D1 becomes positive and D2 becomes negative. The ion is accelerated towards D2. It enters D2 by

crossing electric field between D1 and D2 therefore inside D2 it describes semi circular path of greater radius (velocity increases due to electric field).

As time period is independent of speed and radius therefore the ion will arrive in the gap when the polarity of the dees is reversed.

therefore, positive ion will go on accelerating every time it comes in the gap between the dees.

The accelerated ion can be removed out of the dees from window , by applying electric field.

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For several decades, cyclotrons were the best source of high-energy beams for nuclear physics experiments.

several cyclotrons are still in use for this type of research.

Cyclotrons can be used to treat cancer. Ion beams from cyclotrons can be used, as in proton therapy, to penetrate the body and kill tumors by radiation damage.

This device is a mass spectrometer that uses ion cyclotron resonance(ICR).

Page 11: Cyclotron (1)

A positive ion can not be accelerated beyond a certain limit because with the increase in velocity mass of the charge particle changes. which changes the time period of circular path and positive ion will not arrive in the gap between the dees exactly at the instant when polarity of the dees are reversed.

Page 12: Cyclotron (1)

Electron can not be accelerated using cyclotron because the mass of electron is small and small increase in energy of electron provide high speed to the electron and electrons go quickly out of step with the oscillating electric field.

The uncharged particles like neutron can not be accelerated using cyclotron.