Table 1-2.Amount of light, f/stop, and Exposure Time Relationship
f/stop
1
1.4
2
2.8
4
5.6
8
11
16
2 2
32
4 5
6 4
Relative  exposure
Relative  amount  of  light  admitted
0.06
0.12
0.25
0.50
1.0
2.0
3.0
8.0
16.0
32.0
64.0
128.0
256.0
The first (lowest) f/stop marked on the lens mount
is the correct value for its largest aperture. The next
number is the nearest f/stop in an arbitrary series that
has been adopted as a standard. In this standard series,
each succeeding number going up the scale (from the
largest opening to the smallest) permits only half as
much light to enter the camera. Thus, as the numbers get
larger,  the  diaphragm  openings  (apertures)  become
smaller. However, moving the index pointer in the
reverse order, down the scale (from the smallest opening
to  the  largest),  the  numbers  get  smaller  and  the
diaphragm  openings  become  larger.  As  shown  in
table 1-1, the smallest number may not admit exactly
twice  as  much  light  as  the  next  larger  number.
Nevertheless,  the  amount  of  light  admitted  remains
inversely proportional to the square of the f/stop, and the
exposure required is always directly proportional to it.
All lenses are indexed with the standard series of
f/stops either completely or in part-except for the first
f/stop (as stated earlier) that is computed to indicate the
correct   value   of   the   maximum   aperture.   The
photographer should become acquainted with this
series, so its relative values are known. The following
table is a listing of the f/stop, better known as the
standard full stops. A comparative exposure based on 1
second at f/4 or 16 seconds at f/16 is also shown (table
l-2).
16
8
4
2
1
1/2
1/4
1/8
1/16
1/32
1/64
1/128
1/256
By studying the table, you can see that when the lens
aperture is opened one full stop, the amount of light
transmitted is twice that of the nearest preceding stop.
And altering the f/stop one full stop less (stopping down)
reduces the amount of light passing through the lens to
one half that of the nearest larger stop.
In  summary  then:
Light passes through an opening (aperture) of the
lens. The diameter of the aperture can be changed. The
openings are called f/stops. The f/stops indicate to the
photographer that a lens (any lens) with a specific f/stop
allows a given amount of light to the film. Thus a 12-inch
focal-length lens set at f/4.5 gives the same exposure as
a 6-inch focal-length lens set at f/4.5.
The f/stops represent a fraction of the focal length
of the lens for a given lens; that is, an f/4 lens has an
effective maximum opening of one fourth of its focal
length.
From one full f/stop to the next full f/stop, there
is a constant factor of two. As the opening changes from
f/8 to f/l1, the light passing through the lens is reduced
by one half because the larger f/stop (f/11) is a smaller
aperture. When the aperture is changed from f/8 to f/5.6,
the light passed is doubled because the aperture has been
made  larger.
1-21