Golfswithwolves said:
This is an interesting discussion! From another angle too: what about switching payloads of shot in a smoothbore? Should a shooter make shot loads of #5 shot that weigh the same as his load of #6 shot, or should he use the same volume of either size shot. :hmm:
That depends on what you want. If you take the easy way and not adjust the volume, the #5 will weigh a bit less, so you'd lose some pellets and gain a bit of velocity, but the effect will be much less significant than going to the same volume of much larger shot, like #2 or BB. I don't know if you know the principles involved, and I'm a slow typist, so I've copied & pasted something I wrote in a previous discussion.
Regards,
Joel
How much shot a measure will hold depends on the aggregate density of the shot - for lead (and its alloys), it's usually given as approximately 7 times denser than the powder, depending somewhat on the alloy. This is apparently the density of hexagonally-close-packed uniform spheres composed of lead alloys with bulk densities of 10.75-11.25 g/cc, depending on alloy, and is independent of shot size (36% porosity, IIRC). That should calculate to 6.9-7.2 g/cc, with most shot alloys in the 7.1-7.2 range. All comparisons I've seen of shot and powder in real-world measures actually come out with shot less than 7 times the weight of the powder because the shot are not perfectly packed in the measure. The dimensions of the measure STRONGLY affect how much shot actually fits in - especially with larger shot. Because of the effects of the geometry of the shot against the sides of the measure, larger shot will not pack as well as smaller, so it will weigh even less in a given measure, and the smaller the diameter of the measure, the greater will be the effects of shot size on charge weight. (I've heard this called "boundary effect" in a discussion of packing.) A shot measure is comparatively fat to minimize the boundary effects on packing and be more consistent with different sizes of shot but with some loss in precision, while a powder measure is skinny to allow more precise measurement of the much finer gunpowder because the boundary-effect differences are much less among different granulations of powder.
Picture a layer of shot in the measure. In the middle, the shot is likely close to that perfectly ordered hexagonal packing, but around the edge, there will be places too small for a shot to fit, so there is less shot in the layer than a perfect hexagon of the same cross-section, or, alternatively, of a circle drawn over a wide perfect layer of hexagonally packed shot. The larger the cross-section of the measure compared to the size of the shot, the greater the portion of the area that will have shot in dense hexagonal packing (roughly proportional to the area of the measure, or to the diameter squared) and the smaller the portion with some "missing" shot (roughly proportional to the circumference, or to the diameter [directly, not squared]). Similarly, the larger the shot, the wider the boundary region with some "missing" shot for a given diameter of measure, and the lower the weight for that layer. The actual 3-dimensional geometry is more complicated, but the same principles still apply.