top| 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.
...