Here is a response to questions by Johan and Jim.

Darkfield microscopy is accomplished by using a special condenser.  The
condenser delivers a hollow cone of light with the tip of the cone focused
on the specimen.  The angle of the light rays is such that all of the light
misses the microscope objective, thus causing a dark field of view.
However, a specimen can refract or reflect some of the impinging light and
divert it into the microscope objective.  Therefore, objects in the specimen
appear to be bright against a dark background.

With this type of specimen illumination it is possible to detect objects
even when they are smaller than the resolution limit of the microscope.
However, this does not mean that you can measure their size, at least not
directly.

A similar situation is known in astronomy.  When you look at the stars at
night with the naked eye, they appear as pin points of light.  Because of
their vast distance, the diameters of stars can't be resolved by the naked
eye.  In fact, even when one observes the stars with the most powerful
telescopes on Earth, they still look like pin points of light because their
diameters are too small to be resolved!!!  Nevertheless, the stars are seen
easily, we just can't see their shape or measure their diameters (although
astronomers have special techniques to measure the diameter of stars).

Here is an example that most of us have seen.  Early during the day, or late
in the day, when the sun shines through a window, it is easy to see dust
floating in the air.  These particles are much too small to be resolved by
the naked eye, yet we can see them.  The operating principle in this case is
similar to the darkfield microscope.

So the question is, can you measure a smaller particle size with darkfield
illumination than brightfield?  Perhaps you could push the theoretical
resolution limit slightly with darkfield.  Suppose you could measure a
particle with a 0.1 micron diameter using darkfield compared to 0.2 micron
with brightfield.  Will this help our research significantly?  I don't think
so but correct me if I am wrong.

But there is one thought I had.  Perhaps one could estimate the relative
size of CS particles in a darkfield according to how bright they appear.  If
the amount of light diverted by a CS particle is proportional to its size,
then larger particles should appear brighter in the field than smaller
particles.

To do darkfield work you need to pay attention to the numerical apertures of
the condenser and objective.  The numerical aperture should be stamped on
the body of the condenser and the barrel of the objective.  For example, an
Abbe condenser (for brightfield work) typically has a numerical aperture of
1.25.  This is a measure of the cone of light it will deliver to the
specimen.  The numerical aperture of the objective is a measure of the cone
of light that it will accept from the specimen. A typical achromat objective
of 100 power (oil immersion) will have a numerical aperture of 1.25, a high
dry objective of 40 power will have a numerical aperture of about 0.65.

You also need to have some understanding about the refractive indices of
different materials.  Air has a refractive index of 1.0, water 1.33, glass
1.5.  If you want to use the full numerical aperture of an Abbe condenser,
it is necessary to apply immersion oil between the condenser and the bottom
of the specimen slide.  Without the oil, you limit the numerical aperture to
just below 1.0 because the refractive index of air is 1.0 (i.e., light rays
of a greater angle will be reflected at the glass to air interface and not
proceed into the specimen).

My darkfield condenser has a numerical aperture of 1.33.  The cutoff for the
inner surface of the hollow cone of light it delivers is 1.2 (condenser is
stamped with  1.33 - 1.2).  Therefore, this condenser would be totally
useless if it is not oiled to the slide (or one could use water since it has
a refractive index the same as the NA of this condenser). If you don't oil
this condenser to the bottom of the slide, all of the light from the
condenser will be reflected off the glass-air interface and none will reach
the specimen.

Now if I want to use my high power objective with this condenser, I have a
problem.  Some of the light from my condenser will enter the objective
because it has a higher NA (1.25) than the inner cutoff of the condenser
(1.2).  In order to overcome this problem, my objective is fitted with an
adjustable iris (like in a 35 mm camera) which can be used to stop down the
objective (i.e., reduce the NA).  Then the iris is stopped down just until
the field becomes dark.  At this point I have maximum resolution with a dark
background.

What if you don't have an iris in your high power immersion objective?  If
it has a higher NA than the cutoff of your condenser you have a problem.
You could try to fashion a stop to insert inside your objective but I would
not recommend doing this.  In this case you will probably have to settle for
using your high dry objective (40 power).  Remember that you will probably
be looking at particles that are not resolvable with the immersion objective
(100 power) so perhaps it does not matter so much if you use 40 power.  The
only problem will be that the lower NA of your 40 power objective will not
gather as much light as a stopped down oil immersion objective and thus the
particles will not be as bright.

Now on to making a stop for converting your condenser to darkfield.  You
will have the best results if your condenser has a high numerical aperture,
like an Abbe with 1.25.  You will need to oil the condenser to the slide
with immersion oil.  Hopefully you have a filter holder attached to the
condenser.  If so, you can fashion a disc stop to fit the holder.  This
works somewhat in reverse of an iris in a lens, where you are stopping
(closing) the outer portion of the lens to light.  For darkfield you want to
stop light from the inner portion of the condenser lens. This can be done by
fitting an opaque disc centered on a clear glass disc which will  fit the
condenser filter holder.  You will need to experiment with the diameter of
the opaque disc until you find the minimum diameter that will still yield a
dark field (i.e., if you make the opaque disc too small, light will enter
your objective and the field will not be dark.  Of course, the required
diameter of the stop will be different for different objectives.  If you
have a condenser with NA 1.25, there is no use to try and use your oil
objective with NA 1.25 unless you can stop it down.  So you will need to
develop a condenser stop for use with your high dry objective.

If you can't obtain a clear glass filter to apply the opaque disc to,
another solution is to make a wire frame that will fit into the filter
holder.  You could bend the wire into a circle and then bend the end to
cross the diameter of the circle.  Then glue the opaque stop to the part of
the wire that crosses the diameter.  The stop must be centered in the
circle.

Hope this information is useful.  And please, if anyone finds errors in this
explanation, let me know.  I am a little rusty on these issues.

Jeff La Favre



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