The Challenge of Grinding a
Miniature Biconvex Lens
Alvaro Amaro de Azevedo, Brazil
Photographs by the author.
Introduction
The fascination for the microscopic world
has been present in my life since I made my very first simple
microscope and saw for the first time protozoans, rotifers
and red blood cells. I was just sixteen, and this was almost
30 years ago. Since that time I have searched for improvements
to my instruments and have made extensive research into the
process of lens grinding.
In this article I describe how I made a 0.75
mm diameter biconvex lens using ordinary material and common
resources available to amateurs. The technique I will describe
is the combination of melting and grinding processes that
took me one and a half years to fully develop.

Figure 1. This miniature biconvex lens made by Alvaro Amaro
de Azevedo is only 0.75 mm in diameter.
Materials and Setup
The glass I selected for making lenses was
crystal glass in which no apparent imperfection was visible.
The overall clarity and transparency of the glass was satisfactory,
and the shape of the piece was suitable for the melting step.

Figure 2. Commercial crystal glass from which the author obtained
samples for making into micro lenses.
The grinding powders were made by myself.
This was done by milling ordinary washed sand and then grading
the resulting powder by levigation.
I made six fractions, so that the coarsest one has grains
with an average diameter of 0.1 mm, while the finest has grains
with an average diameter of 0.001 mm.

Figure 3. The abrasive powders used to grind the lenses were
made by milling washed sand and separating it into six grades
by levigation.
The grinding tool was made by punching an
aluminum block with a drill marker having a conical tip. A
shaft was attached to the tool so it could be installed in
the grinding lathe.

Figure 4. Homemade grinding tool made from a small block of
aluminum attached to a shaft.
The grinding lathe was a battery-powered
drilling machine held in upright position by a bench vice.
I added an extra lead-acid battery, because the one that comes
with the drilling machine cannot cope with the long lasting
grinding steps. For polishing, I solely used kaolin suspension
used for silver polishing.

Figure 5. A battery-powered drill was used for the grinding
lathe. Note the lead-acid battery that allowed the drill to
operate over longer intervals than when powered by the internal
battery alone.
The cement was a solvent based glue, which I evaporated until
it became a solid white mass. This material can be softened
by heat, which causes it to become sticky. Once cooled, it
holds the work piece very firmly to the handle.

Figure 6. The lens to be ground is attached to the handle
by means of a solvent-based glue that was evaporated until
becoming a mass like the one shown here.
The Process
First, a portion of the glass was heated
with a jewelry torch until it glowed with a yellowish light.
Then a pair of pliers was used to pull the molten glass quickly
away from the solid substrate. This created a hair-like thread.
The glass fiber was carefully cleaned with alcohol to remove
any smoke residue. Then one end of the fiber was brought close
to a candle's flame until the heat of the flame melted the
end of the fiber and formed a small droplet of glass. For
the sake of good homogeneity, the newly formed bead should
never be brought too close to the flame, because the glass
will not become homogeneous.
The glass droplet that I made was about 1.0
mm in diameter, and no bubbles were observed. If you make
several of them, you can choose the better ones to proceed.

Figure 7. Glass fiber with attached droplet of glass formed
by bringing the end of the fiber near a candle's flame.
After the droplet was inspected and no apparent
defect or flaw was found, it was glued to the handle. The
advantage of using a solvent-based cement was that it is readily
soluble in an acetone/alcohol mixture. This allowed its total
removal from the lens after the grinding was completed.

Figure 8. The tiny glass sphere with attached fiber is cemented
to the end of a suitable handle.
When the glass droplet was firmly glued to
the handle, the fiber was carefully broken away and discarded.
The glass droplet was then sanded with wet sand paper (600
grade works well) until the droplet was about one-third of
its original height.
Caution:
Be sure to carefully dispose of glass fibers! They can easily
pierce the skin. One method is to place them between two layers
of relatively thick tape.

Figure 9. After the glass droplet is sanded down to one-third
of its original height, it is ready to be ground to a spherical
shape.
At this point the grinding step was begun.
I began with powder number 3 (average particle size 0.01 mm).
Gradually finer and finer powders were used until the surface
of the glass became very smooth. For the final stage of polishing,
a suspension of commercial silver polish was placed on a sheet
of plastic film lying over a fluffy layer of cotton or fabric.
The lens was rubbed very gently against the plastic film in
a back and forth motion. Every time the handle was moved back
and forth, it was slightly rotated so that the direction of
polishing was changed with each stroke. Eventually the lens
had a polished surface in which no imperfection could be observed.
The pressure was kept very slight, because
it's easy to damage the curvature of the lens by excess abrasion.
After only a few minutes, the entire surface of the lens clearly
reflected an overhead light bulb. At this point the handle
was gently heated with a flame so that the lens could be carefully
detached from the handle and placed in a pool of solvent to
dissolve away the glue.
Miniature lenses are easily lost and should
be carefully stored in a suitable container. It was unnecessary
to store the lens I made, since it was intended for use in
a homemade microscope. I installed the lens in the microscope
receptacle and then used the microscope to observe various
objects. The magnified image seen through the lens showed
that the lens was well made, and, consequently, the level
of resolution and sharpness was surprisingly high.

Figure 10. A completed miniature lens is shown next to a needle.
Final Notes
Despite the fact that the technique itself
is relatively simple, the making of miniature lenses requires
repetition to be fully mastered. Gluing the glass ball to
the handle requires good ability and skill, as the sizes of
such objects are quite small. The polishing procedure is the
only step where the curvature of the lens can be damaged.
It takes practice to learn the correct pressure so that the
surface of the lens will become glossy while keeping its perfectly
curved shape.
Finally, I would like to say that making
these miniature lenses has shown me how much can be achieved
despite the lack of resources and limited hardware. This is
particularly consistent with the fact that van Leeuwenhoek
and William Herschel long ago made similar achievements using
only crude resources from their remote times.
Comments to author Alvaro
Amaro de Azevedo are welcomed. 
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