ABSTRACT

The first task in the description of a macromolecule is to enumerate all the atoms. The results can be summarized as a set: {

A

}. The molecular weight

M

for the polymer can be then be calculated as:

(2.1)

where the sum is over all

N

atoms in the molecule and

M

is the atomic weight for each atom. Although there are many macromolecules, especially biopolymers

,

for which the value of

N

is unique, many other macroscopic samples of polymeric material are characterized by a distribution of

N

and hence of

M

. The concept of a molecular weight distribution

,

ρ

(

M

), is central to the modern practice of polymer science. The consequences of such a distribution will be considered throughout this book.