What is needed for a set to form a basis?
A set needs to span the vector space it is in and it must be linearly independent. A set spans the vector space if we can prove that every vector within that space can be written as a linear combination of the set. A set is linearly independent if there is no smaller subset that also spans the vector space.
Why is intercalation a positive attribute for electrode materials?
It allows for the migration of ions in a sample. This creates a potential gradient within the material, allowing for charge to flow through the sample. It also ensures that the electron and the resulting hole doesn't recombine, allowing for greater current.
Why does carbon monoxide bind to hemoglobin more tightly than oxygen
Pi-bond back donation. When the carbon binds to the iron, the unstable triple bond between the carbon and the oxygen donates into the iron. This forms a tighter bond between the iron and the carbon. Since oxygen does not have this more unstable triple bond, no back donation occurs, leading to weaker interactions.