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Constants and Conversions. Need a calculator? Make sure to enter your answers in the specified units, but do not include the units in your answer.
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1) Using the electrostatic potential to estimate the binding energy to the nearest hundredth of an eV of a positive and negative ion held in an ionic bond with a separation distance of nm. Assume each has a charge of 1e.
2) What is the rotational energy to the nearest thousandth of an eV of a diatomic molecule with I= 1.5x10-46 kg*m2 in the L= rotational state?
3) To the nearest micron what is the wavelength of the emitted photon if the molecule in the previous molecule makes a downward rotational transition?

4) A hypothetical diatomic molecule is composed of two identical atoms of mass 12 u, if the wavelength emitted when a L=2 to L=1 rotational transition occurs is mm what is the rotational inertia? (Express your answer in scientific notation to 2 decimal places, i.e., 12345 would be 1.23e4)
5) What is the separation distance between the atoms in the previous question to the nearest pm?

6) A certain diatomic molecule has a vibrational frequency of 1.5x1014 Hz and is in the 3rd vibrational state and the L= rotational state (I=3.0x10-46 kg*m2. If it makes a downward transition to the 2nd vibrational state, what is the maximum frequency (in units of 1012 Hz to 2 decimal places) radiation that is emitted?
7) In the preceeding question what is the minimum frequency emitted (in units of 1012 Hz to 2 decimal places)?

8) If a solar cell is be designed to absorb all of the Sun's radiation at wavelengths shorter than nm , then what is the maximum electronic band gap energy of the p-n junction that will be used in the cell? Put your answer to the nearest meV (milli-eV) above 1.000 eV. (For example if your answer for the band gap is 1.151 eV you should enter 151 as your answer to the problem.)