Fundamentals of Materials Science and Engineering: An Integrated Approach, 3e

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5.6 Specification of Composition • 137

Screw dislocation
(ramp continues
to spiral upward)

Branch

Chain
ends

Loose
chain

Noncrystalline
region

Dangling
chain

Crystallite
boundary

Edge dislocation (extra plane)

Vacancy
Impurity

Figure 5.7
Schematic
representation of
defects in polymer
crystallites.

contains two hypothetical atoms denoted by 1 and 2, the concentration of 1 in wt%,
C 1 , is defined as

C 1 =


m 1
m 1 +m 2

× 100 (5.6)


Computation of
weight percent (for a
two-element alloy)

wherem 1 andm 2 represent the weight (or mass) of elements 1 and 2, respectively.
The concentration of 2 would be computed in an analogous manner.
atom percent The basis foratom percent(at%) calculations is the number of moles of an
element in relation to the total moles of the elements in the alloy. The number of
moles in some specified mass of a hypothetical element 1,nm 1 , may be computed as
follows:

nm 1 =

m 1 ′
A 1

(5.7)


Here,m′ 1 andA 1 denote the mass (in grams) and atomic weight, respectively, for
element 1.
Concentration in terms of atom percent of element 1 in an alloy containing 1
and 2 atoms,C′ 1 is defined by^4

C 1 ′=


nm 1
nm 1 +nm 2

× 100 (5.8)


Computation of
atom percent (for a
two-element alloy)

In like manner, the atom percent of 2 may be determined.

(^4) In order to avoid confusion in notations and symbols used in this section, we should point
out that the prime (as inC′ 1 andm 1 ′) is used to designate both composition, in atom percent,
and mass of material in units of grams.

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