answer please ### Isotopes of Bromine and Their Molecular BehaviorThere are two main types of isotopes of Bromine in nature: one is $^{79}\text{Br}$ with the atomic mass of 79 amu, and the other is $^{81}\text{Br}$ with the atomic mass of 81 amu. Assume both diatomic molecules, H$^{79}\text{Br}$ and H$^{81}\text{Br}$, behave as harmonic oscillators and rigid rotators.#### (a) Fundamental Vibrational FrequencyThe force constant ($k$) of H$^{79}\text{Br}$ is 381 N/m. Calculate the fundamental vibrational frequency ($\nu$) of H$^{79}\text{Br}$. Report your value in Hz.#### (b) Rotational ConstantThe rotational constant ($\tilde{B}$) of H$^{79}\text{Br}$ is 10 cm$^{-1}$. Assuming the two molecules have the same chemical bond length, calculate the rotational constant of H$^{81}\text{Br}$. Report your value in cm$^{-1}$.

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There are two main typs 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. Assume both diatomic molecules, H7⁹Br and H8¹Br, behave as harmonic oscillators and rigid rotators. (a) The force constant (k) of H7⁹Br is 381 N/m. Calculate the fundamental vibrational frequency (v) of H7 Br. Report your value in Hz. (b) The rotational constant (B) of H¹Br is 10 cm¹¹. Assuming the two molecules have the same chemical bond length, calculate the rotational constant of H8¹Br. Report your value in cm³¹.

There are two main typs 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. Assume both diatomic molecules, H7⁹Br and H8¹Br, behave as harmonic oscillators and rigid rotators. (a) The force constant (k) of H7⁹Br is 381 N/m. Calculate the fundamental vibrational frequency (v) of H7 Br. Report your value in Hz. (b) The rotational constant (B) of H¹Br is 10 cm¹¹. Assuming the two molecules have the same chemical bond length, calculate the rotational constant of H8¹Br. Report your value in cm³¹.

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### Isotopes of Bromine and Their Molecular Behavior

There are two main types of isotopes of Bromine in nature: one is $^{79}\text{Br}$ with the atomic mass of 79 amu, and the other is $^{81}\text{Br}$ with the atomic mass of 81 amu. Assume both diatomic molecules, H$^{79}\text{Br}$ and H$^{81}\text{Br}$, behave as harmonic oscillators and rigid rotators.

#### (a) Fundamental Vibrational Frequency

The force constant ($k$) of H$^{79}\text{Br}$ is 381 N/m. Calculate the fundamental vibrational frequency ($\nu$) of H$^{79}\text{Br}$. Report your value in Hz.

#### (b) Rotational Constant

The rotational constant ($\tilde{B}$) of H$^{79}\text{Br}$ is 10 cm$^{-1}$. Assuming the two molecules have the same chemical bond length, calculate the rotational constant of H$^{81}\text{Br}$. Report your value in cm$^{-1}$.

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