Dold–Thom theorem: Difference between revisions

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{{Distinguish2|[[Crystallite]] size which is referred to as Grain Size by Metallurgists}}<!-- Removing this might cause conceptual confusion for a novice reader -->
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{{More footnotes|date=July 2011}}
 
[[File:Wentworth-Grain-Size-Chart.pdf|thumb|300px|Wentworth grain size chart from United States Geological Survey Open-File Report 2006-1195]]
 
'''Particle size''', also called '''grain size''', refers to the [[diameter]] of individual grains of [[sediment]], or the [[lithification|lithified]] particles in [[clastic rock]]s. The term may also be applied to other [[granular material]]s.  This is different from the [[crystallite]] size, which is the size of a single [[crystal]] inside the particles or grains. A single grain can be composed of several [[crystal]]s. [[Granular material]] can range from very small [[colloid|colloidal particles]], through [[clay]], [[silt]], [[sand]], and [[gravel]], to [[boulder]]s.
 
==Krumbein Phi Scale-United States==
Size ranges define limits of classes that are given names in the Wentworth scale (or Udden-Wentworth) used in the [[United States]]. The Krumbein ''phi'' (φ) scale, a modification of the Wentworth scale created by [[W. C. Krumbein]]<ref> http://archives.datapages.com/data/sepm/journals/v01-32/data/007/007001/pdfs/0003.pdf </ref> in 1937, is a [[logarithmic scale]] computed by the equation
:<math>\phi=-\log_2{D/D_0},</math>
where
:<math>\phi</math> is the Krumbein phi scale,
:<math>D</math> is the [[diameter]] of the particle, and
:<math>D_0</math> is a reference diameter, equal to 1 mm (to make the equation [[Dimensional analysis|dimensionally consistent]]).
This equation can be rearranged to find diameter using φ:
:<math>D=D_0 \times 2^{-\phi}\,</math>
 
{| class="wikitable"
|-
! φ scale
! Size range<br>(metric)
! Size range<br>(approx. inches)
! Aggregate name<br>(Wentworth Class)
! Other names
|-
| −8 <
| 256&nbsp;mm <
| 10.1 in <
| [[Boulder]]
|-
| −6 to −8
| 64–256&nbsp;mm
| 2.5–10.1 in
| [[Cobble (geology)|Cobble]]
|-
| −5 to −6
| 32–64&nbsp;mm
| 1.26–2.5 in
| Very coarse [[gravel]]
| [[Pebble]]
|-
| −4 to −5
| 16–32&nbsp;mm
| 0.63–1.26 in
| Coarse [[gravel]]
| [[Pebble]]
|-
| −3 to −4
| 8–16&nbsp;mm
| 0.31–0.63 in
| Medium [[gravel]]
| [[Pebble]]
|-
| −2 to −3
| 4–8&nbsp;mm
| 0.157–0.31 in
| Fine [[gravel]]
| [[Pebble]]
|-
| −1 to −2
| 2–4&nbsp;mm
| 0.079–0.157 in
| Very fine [[gravel]]
| [[Granule (geology)|Granule]]
|-
| 0 to −1
| 1–2&nbsp;mm
| 0.039–0.079 in
| Very coarse [[sand]]
|-
| 1 to 0
| ½–1&nbsp;mm
| 0.020–0.039 in
| Coarse [[sand]]
|-
| 2 to 1
| ¼–½ mm
| 0.010–0.020 in
| Medium [[sand]]
|-
| 3 to 2
| 125–250 [[Micrometre|µm]]
| 0.0049–0.010 in
| Fine [[sand]]
|-
| 4 to 3
| 62.5–125&nbsp;µm
| 0.0025–0.0049 in
| Very fine [[sand]]
|-
| 8 to 4
| 3.90625–62.5&nbsp;µm
| 0.00015–0.0025 in
| [[Silt]]
| [[Mud]]
|-
| &gt; 8
| &lt; 3.90625&nbsp;µm
| &lt; 0.00015 in
| [[Clay]]
| [[Mud]]
|-
| &gt; 10
| < 1&nbsp;µm
| < 0.000039 in
| [[Colloid]]
| [[Mud]]
|}
 
In some schemes, gravel is anything larger than sand (comprising granule, pebble, cobble, and boulder in the table above).
 
==International scale==
[[International Organization for Standardization|ISO]] 14688-1, establishes the basic principles for the identification and classification of soils on the basis of those material and mass characteristics most commonly used for soils for engineering purposes. ISO 14688-1 is applicable to natural soils ''in situ'', similar man-made materials ''in situ'' and soils redeposited by man.<ref>[http://www.iso.org/iso/iso_catalogue/catalogue_tc/catalogue_detail.htm?csnumber=25260 iso.org]</ref>
{| class="wikitable"
|+ ISO 14688-1<ref>[http://www.scribd.com/doc/52180815/6/Soil-classifcation-after-BS-EN-ISO-14688-1-2002 ISO 14688-1:2002 at scribd.com]</ref>
|-
! colspan=3|name
! size range
|-
| colspan=2 rowspan=3|Very coarse soil
| Large boulder, LBo
| >630&nbsp;mm
|-
| Boulder, Bo
| 200 – 630&nbsp;mm
|-
| Cobble, Co
| 63 – 200&nbsp;mm
|-
| rowspan=6|Coarse soil
| rowspan=3|Gravel
| Coarse gravel, CGr
| 20 – 63&nbsp;mm
|-
| Medium gravel, MGr
| 6.3 – 20&nbsp;mm
|-
| Fine gravel, FGr
| 2.0 - 6.3&nbsp;mm
|-
| rowspan=3|Sand
| Coarse sand, CSa
| 0.63 - 2.0&nbsp;mm
|-
| Medium sand, MSa
| 0.2 - 0.63&nbsp;mm
|-
| Fine sand, FSa
| 0.063 - 0.2&nbsp;mm
|-
| rowspan=4|Fine soil
| rowspan=3|Silt
| Coarse silt, CSi
| 0.02 - 0.063&nbsp;mm
|-
| Medium silt, MSi
| 0.0063 - 0.02&nbsp;mm
|-
| Fine silt, FSi
| 0.002 - 0.0063&nbsp;mm
|-
| colspan=2|Clay, Cl
| ≤0.002&nbsp;mm
|}
 
==Sorting==
An accumulation of sediment can also be characterized by the grain size distribution, called sorting. According to a formula by <ref>Folk, R.L., & Ward, W. (1957), Brazos River bar: a study in the significance of grain-size parameters. Journal of Sedimentary Petrology 27, 3-26,</ref> the sorting can be quantified as
 
{| class="wikitable"
|-
! φ < 0.35
! 0.35 < φ < 0.50
! 0.50 < φ < 0.71
! 0.71 < φ < 1.00
! 1.00 < φ < 2.00
! 2.00 < φ
|-
| very well sorted
| well sorted
| moderately well sorted
| moderately sorted
| poorly sorted
| very poorly sorted
|}
 
==See also==
* [[Orders of magnitude (volume)]]
* [[Soil texture]]
* [[Substrate (biology)]]
* [[Unified Soil Classification System]] (USCS)
 
==References==
{{Reflist}}
 
==External links==
* R D Dean & R A Dalrymple, ''Coastal Processes with Engineering Applications'' (Cambridge University Press, 2002)
* W C Krumbein & L L Sloss, ''Stratigraphy and Sedimentation'', 2nd edition (Freeman, San Francisco, 1963).
* J A Udden, "Mechanical composition of clastic sediments", Bull. Geol. Soc. Am. 25, 655-744 (1914).
* C K Wentworth, "A scale of grade and class terms for clastic sediments", J. Geology V. 30, 377-392 (1922).
 
{{coastal geography}}
 
[[Category:Sedimentary rocks]]
[[Category:Pedology]]

Latest revision as of 01:35, 19 December 2014

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