Many textbooks mention that the height of a column of mercury in a mercurial barometer is 29.92" Hg under standard atmospheric conditions.
However, they usually do not mention the diameter of that column, or whether the size of that diameter matters at all.
Let's consider a narrow column of arbitrary height and a wide column, relatively speaking. Since it is narrower, there is less volume of mercury per inch of that tube, so it seems that the narrow column would have to be higher than that of the wide column to balance the mercury in the reservoir that rises from the surrounding pressure.
Should I conclude that those who designed mercurial barometers used a specific diameter (which sounds unlikely and impractical?), or is there something I am not considering here that makes the diameter of a mercurial barometer not relevant to the height of the column, under standard conditions?
By the way, I have a hunch the surface area of the reservoir surrounding the column doesn't matter for some clever reason, but it still seems to me that the diameter of the column does. Would love it if this were true of the diameter as well.