All these arrangements rely on the microscope being infinitely rigid, and the fine-focus being infinitely stiff. Very expensive microscopes will approach this ideal, but will not reach it. When the objective power reaches 40X, it may be obvious that vibration is destroying sharpness, but much more common is 'focus jump'. You focus accurately, take your picture, and find the plane of focus is not quite where you thought you had set it. Taking ten pictures to get the correct focus by accident is a slow business.
The problem is that the camera is resting on the fine-focus mechanism. More expensive designs may isolate the fine focus, and leave the camera sitting on the coarse focus. A very slight shock to the camera moves the focus setting slightly, and your preset focus is lost.
Almost a hundred years ago, the problem was well-known. Photomicrographers mounted both the microscope and camera rigidly, but stopped them mechanically contacting each other. The decoupled camera can be touched without movement feeding back to the objective focus, and the whole device is in addition much less sensitive to room vibration.
The basic photo-table (left), which was new to me, but has no doubt been invented frequently, has a 22 kilogram disc weight mounted on three rigid legs. All three legs have threaded-nut adjusters, which stand on a thick concrete disc. The centre of the disc weight has a 50mm hole through which the weight-lifting bar originally passed. The Olympus monocular GB40 microscope (about 1970) bas an extended base bolted to it, and this base also rests on three threaded-nut adjusters which contact the same concrete disc. To lift the assembly high enough above the carpeted concrete floor, the concrete disc rests on a cast concrete drainage pit, which could have been filled with pebbles to increase mass, but was quite solid enough without.
An accurate circular bubble-level is placed on the 22 kilogram table top, and the three adjusters altered, then locked when the top of the table is level. The microscope is located so the top tube passes centrally through the hole in the top with space to spare. The eyepiece, and the eyepiece mount, are both removed, and table height is such that the top tube when focused does not stick out above the table top. The plane of focus of a 160mm objective on the microscope is well above the table surface. A short turned cylinder is dropped on the top tube, and the bubble-level placed on that. The three adjusters on the microscope base are now altered until the face of the top tube is accurately level. Since both the table and the top tube face are now levelled, the tube is precisely at right angles to the table. Both the table and the microscope rest on the concrete disc, but they are not in contact with each other. A camera can now be positioned resting on the table, above the central hole, in the right position to receive the focused image from the microscope objective. Because the camera is not in contact with the microscope focus mechanism, the system is completely stable, and no precautions need to be taken during photography. Not even a cable release is required.
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Once the outer plate is located, the camera mounting is set, and no realignment is required for months, unless someone collides with the table.
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This underlines just how new digital cameras still are, and how far they still are from reliability. Using them more than twice a year will be costly until the technology matures.