mjc123
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First, to be pedantic: "Sorta" is not a scientific concept. Second, you seem to be making a number of confusions (which are quite common with beginners): one, between a quantity (e.g. polarisability) and the change in that quantity. All bonds are polarisable to some extent; the point is that to be Raman active a vibration must result in a change of polarisability. It is this change, not polarisability itself, that is cancelled. Two, between molecules and bonds (or vibrational modes, which may involve more than one bond). A symmetrical molecule may have asymmetrical vibrations which have a change of dipole moment and are IR active (like the one illustrated).
A more precise answer to your question involves a more detailed consideration of symmetry, which I'm guessing you haven't studied yet. The polarisability has certain symmetry properties which mean that Raman scattering of a photon can induce a change in vibrational state only for modes of certain symmetry types. In particular, for a centrosymmetric molecule, only centrosymmetric modes can be Raman active.
A more qualitative argument may go like this: Bear in mind that the relative change in bond length during a vibration is much, much smaller than the above diagram suggests (for ease of illustration). We may reasonably consider that, for small changes in length, the change in polarisability with bond length will, to a first approximation, vary linearly with the deformation. If we write dP/dx as P', the change in polarisability in an asymmetric stretching mode like that shown, where one bond lengthens by dx and the other shortens by dx, will be P'dx - P'dx = 0. For a symmetric stretch, where both bonds lengthen, it will be P'dx + P'dx ≠ 0. (For the dipole moment, we must remember that the moments of the two bonds are pointing in opposite directions, so the change in dipole moment for the asymmetric stretch is μ'dx - (-μ')dx ≠ 0, while for the symmetric stretch it is μ'dx + (-μ')dx = 0, so the asymmetric stretch is IR active but the symmetric stretch is not.)
A more precise answer to your question involves a more detailed consideration of symmetry, which I'm guessing you haven't studied yet. The polarisability has certain symmetry properties which mean that Raman scattering of a photon can induce a change in vibrational state only for modes of certain symmetry types. In particular, for a centrosymmetric molecule, only centrosymmetric modes can be Raman active.
A more qualitative argument may go like this: Bear in mind that the relative change in bond length during a vibration is much, much smaller than the above diagram suggests (for ease of illustration). We may reasonably consider that, for small changes in length, the change in polarisability with bond length will, to a first approximation, vary linearly with the deformation. If we write dP/dx as P', the change in polarisability in an asymmetric stretching mode like that shown, where one bond lengthens by dx and the other shortens by dx, will be P'dx - P'dx = 0. For a symmetric stretch, where both bonds lengthen, it will be P'dx + P'dx ≠ 0. (For the dipole moment, we must remember that the moments of the two bonds are pointing in opposite directions, so the change in dipole moment for the asymmetric stretch is μ'dx - (-μ')dx ≠ 0, while for the symmetric stretch it is μ'dx + (-μ')dx = 0, so the asymmetric stretch is IR active but the symmetric stretch is not.)