Electrically charged iron and aluminum particles having diameters of a few microns have been contained in a confined region of space by means of alternating and static electric fields. The theory is essentially that of alternating gradient focusing; here the motion is governed by Mathieu's equation. Under certain circumstances when many particles are confined the three dimensional focusing force and the Coulomb repulsion results in a ``crystaline'' array which can be ``melted'' and reformed.

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4.
It is understood that Professor W. Paul has independently been conducting similar experiments on the containment of atomic particles (unpublished).
5.
N. W. McLachlan, Theory and Applications of Mathieu Functions (Oxford University Press, New York, 1947).
6.
The values for Eqs. (11) and (12) were taken from published tables. Computation Laboratory, U.S. Bureau of Standards, Tables Relating to Mathieu Function (Columbia University Press. New York, 1951).
7.
The photomicrographs were taken with a Leitz MIKAS 35‐mm microscope camera using Kodak Tri‐X film. The speed of film was increased by developing the negatives with FR X‐500 Developer. Exposure times were typically between 11015sec.
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