The explanation is far more complicated than describing the method. Ultimately, the method exploits the fact that reducible representations are linear combinations of irreducible representations that are orthogonal to each other. In a sense, irreducible representations act like eigenfunctions with different eigenvalues (which are orthogonal to each other. Irreducible representations form a "complete set" the same way that the eigenfunctions of an operator in QM do. More directly, it is a consequence of the Great Orthogonality Theorem.
Hello professor , I hope you are doing well !
More videos on formal charges, valency and ionic charges
Will do!
Hey, can you do a 3/2 reaction?
Could you explain why projector operator method works. You've done lots of videos doing it but no explanation.
The explanation is far more complicated than describing the method. Ultimately, the method exploits the fact that reducible representations are linear combinations of irreducible representations that are orthogonal to each other. In a sense, irreducible representations act like eigenfunctions with different eigenvalues (which are orthogonal to each other. Irreducible representations form a "complete set" the same way that the eigenfunctions of an operator in QM do.
More directly, it is a consequence of the Great Orthogonality Theorem.