Do Lone Atoms or Molecules Assume States of Matter?

Physics
Search the Internet for the definition of states of matter and much comes up. Perhaps you are the sort of reader who peeks first at Wikipedia to get some ideas what other sites you will visit to obtain answers to your questions. At any rate, you will note basic descriptions for the states of matter you experience every day. Take the following discussion for what it is: a hypothetical discussion on the nature of matter. If you can demonstrate its veracity or illegitimacy, please do that in the Comments section, below. States of Matter Solid: “Atoms or molecules fixed in location and locked in place.” How are these particles locked into place? They bond to each other and do not readily move around, much like the assembled pieces in a…
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Most Efficient Shape for Holding Liquids

Mathematics
[caption id="attachment_6496" align="alignright" width="440"] Spherical Bottle.[/caption] We store liquids in a bottle. So what is the most efficient shape that uses the least glass to store the most liquid? The volume of a sphere divided by its surface area represents the greatest ratio possible of any geometrical object. We want to use the least material to construct the vessel, while it holds the most. How shall we determine what best meets our requirements? Most Efficient Shape We determine what best meets our requirements by logic supported by mathematics. V/S (sphere) = 4/3пr3/4п€r2 = r/3 Use, for purposes of comparison and illustration, a cube, whose dimensions are "a" on a side. Then, since its surface area is the area of its six sides, V/S (cube) = a3/6a2 = a/6 Now since…
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