Surface volume-density m2/m3 |
|
Rough Draft |
m2/m3 | |||
---|---|---|---|
grain size | ... | ||
... | ... | ||
104 m | 10-3 | ||
103 m | 10-2 | ||
102 m | 10-1 | ||
101 m | 100 | ||
1 m | 101 | 1 m sphere, cube | ~ human (skin only) | |
10-1 m | 102 | ||
10-2 m | 103 | ~ human | |
10-3 m | 104 | ~ lungs | sand |
10-4 m | 105 | ~ capilaries | fine sand |
10-5 m | 106 | ~ mayonnaise (oil droplets) | silt | suspension |
10-6 m | 107 | colloid | suspension | |
10-7 m | 108 | colloid | |
10-8 m | 109 | ~ sorbent / molecular sieve | colloid |
10-9 m | 1010 | molecules | solution | colloid |
10-10 m | 1011 | atoms | solution |
10-11 m | 1012 | ||
... |
1 m3 cube's area - 6 m2 (101 × 0.6, exact (6 sides))
1 m3 sphere's area - 5 m2 (101 × 0.5, +3%, ±<1%)
101 × 0.4836 | ±<1% | 4pir2 for r = 0.6204 m so that 4/3 pi r3 = 1 m3 |
101 × 0.5 | +3%, ±<1% | |
101 | +×2, ±2% |
Surface-area volume-density (m2/m3) for grains is about 6 × grain width-1
So 1 m grains give 6 m2/m3, 10-1 m grains give
101 × 6 m2/m3, and
10-2 m give 102 × 6.
6× assumes grains are smooth cubes. Its 5× for smooth spheres. And any roughness would increase this by introducing additional (smaller) "grain" sizes. The 6 (or 5 or whatever) is dimentionless (m3/m3). |
Comments encouraged. - Mitchell N Charity <mcharity@lcs.mit.edu> |
Doables: lawn example, charcoal/sorbent filtering example molecular slices. oil on water. charcoal clay silt soil etc. Films and wilting point. clarify grains. droplets etc. simple closed volume of m^-1 10. clean up landmarks link to sphere when that gets cleaned up I am unsure what to call this area volume-density surface-area volume-density surface volume-density
Notes: sorbent 103 m2 / gram [SciAm 96oct p115] so say about 109 m2/m3. lungs 10^2 m^2 over 10^-2 m^3 lung skin 10^0 m^2 over 10^-1 m^3 human capilaries 10^4 m^2 over 10^-1 m^3 human "sorbent to sphere" (this concept bogus, left as a reminder) Names&more names: <1 nm = solution; 1 nm to 1 um = colloid; >1 um = suspension From nanophase's Glossary[link broken]. There has to be a better naming strategy...[image link broken]
History: 2003-Feb-04 Flagged 3 broken links. 1999.Mar.21 Repaired link to `About Nanomaterials'. 1997.Aug.20 Oops. Removed bogus "(not posible)" and extended scale for objects larger than 1 m. 1997.Aug.12 Added mayo, sand, landmarks. ...