**Raman Spectroscopy and Vibrational Displacement**

Raman spectroscopy is a technique used to study the vibrational and rotational modes of molecules. It involves the interaction of light with the molecular vibrations, resulting in the scattering of photons. The Raman spectrum provides information about the vibrational frequencies and intensities of the molecular vibrations.

In Raman spectroscopy, the vibrational displacement is a measure of the change in position of the atoms during a vibrational mode. It is expressed in terms of wavenumbers (cm-1), which correspond to the energy of the vibrational mode.

**The Ground State of O2 Molecule**

The O2 molecule consists of two oxygen atoms bonded together. In the ground state, the molecule has a certain vibrational frequency denoted by ώe. This value represents the average energy required to vibrate the molecule.

For the O2 molecule, the value of ώe is given as 1580.36 cm-1. This means that the molecule vibrates at a frequency of 1580.36 cm-1 in the ground state.

**Raman Vibrational Displacement**

The Raman vibrational displacement is calculated using the difference between the excitation energy (ωexe) and the vibrational frequency (ώe) of the molecule. The excitation energy represents the energy required to excite the molecule to a higher vibrational state.

For the O2 molecule, the value of ώexe is given as 12.07 cm-1. To calculate the Raman vibrational displacement, we subtract this value from the vibrational frequency:

Raman vibrational displacement = ώe - ώexe
= 1580.36 cm-1 - 12.07 cm-1
= 1568.29 cm-1

Therefore, the expected Raman vibrational displacement for the O2 molecule is 1568.29 cm-1.

**Answer and Explanation**

Based on the given options, none of them match the calculated Raman vibrational displacement of 1568.29 cm-1. Therefore, none of the provided options are correct.

The correct answer is not provided in the options, so we cannot select any of them.

In conclusion, the expected Raman vibrational displacement for the ground state of the O2 molecule is 1568.29 cm-1, which is not listed as an option.