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There are two main types of isotopes of Bromine in the nature, one is 79Br with...

There are two main types of isotopes of Bromine in the nature, one is 79Br with the atomic mass of 79 amu, and another one is 81Br with the atomic mass of 81 amu. The force constant (k) of both the diatomic molecule H79Br and H81Br is 381 N/m. Assuming both molecules are harmonic oscillators.

(a) Calculate the fundamental vibrational frequency (ν) of H79Br. Report your value in Hz.

(b) Calculate the zero-point energy (E0) of H79Br. Report your value in J first, and then convert the unit to cm-1. Show both your calculation and unit conversion.

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