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PHYS7440: Physics of Nuclear Medicine

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(10) 1. The diagram below is the energy level scheme for a mythical decay sequence of an isotope of Platinum (Pt) to Gold (Au). Fill in the missing information about the various emissions. Include the percent of the emissions of any kind. What is the energy of each emission? What is the nature of each emission (e.g. gamma-ray, beta particle, etc.)? Ignore contributions that are likely to be less than 1% of the events. Please list all emissions that are part of or the result of the nuclear decays indicated here.

(10) 2. Two new isotopes were discovered, one of thallium and one of potassium, each of which has a metastable energy level that has a 60 hour half-life and emits a 77 keV gamma-ray. The transition in the potassium isotope is between states of spin/parity 4- and 0+. The transition in the thallium isotope is between states of spin/parity 1+ and 0+.

a) Do you think either of these isotopes would be useful for heart imaging? What difficulty might be encountered?

b) If the spin and parity of the emitting isotopes were reversed (e.g. 4- for Tl and 1+ for K), how would the usefulness of the two isotopes be affected?

Where possible, justify your answers with calculations.

(Note: 201Tl has a 73 hour half-life, emits x-rays in the neighbourhood of 77 keV, and is used for heart imaging and can be considered an analog of potassium.)

PHYS7440: Physics of Nuclear Medicine

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