(i)(i) "Organic chemistry: the chemistry of CARBON bound to"Organic chemistry: the chemistry of CARBON bound to "hydrogen, nitrogen, and oxygen."hydrogen, nitrogen, and oxygen.
(ii)(ii) "Biochemistry: the chemistry of biology."Biochemistry: the chemistry of biology. "This COULD fall under the umbrella of the former."This COULD fall under the umbrella of the former.
(iii)(iii) "Inorganic chemistry: the chemistry of the rest"Inorganic chemistry: the chemistry of the rest "of the Periodic Table."of the Periodic Table.
(iv)(iv) "Physical chemistry: the chemistry and behaviour of atoms"Physical chemistry: the chemistry and behaviour of atoms "and molecules in relation to physical principles,"and molecules in relation to physical principles,
(v)(v) "Analytical chemistry: the chemistry of identifying"Analytical chemistry: the chemistry of identifying "and quantifying chemicals."and quantifying chemicals.
While biochemistry is very much a separate discipline, these days the division is better represented by synthetic versus analytical chemistries.