Differential centrifugation: Difference between revisions

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{{Technical|date=July 2011}}
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[[Image:Ortoclasio.jpg|thumb|right|200px|An example of the monoclinic crystals, [[orthoclase]]]]
 
In [[crystallography]], the '''monoclinic''' [[crystal system]] is one of the 7 lattice [[point group]]s.  A crystal system is described by three [[Vector (geometric)|vectors]].  In the monoclinic system, the [[crystal]] is described by vectors of unequal length, as in the [[orthorhombic]] system. They form a rectangular [[prism (geometry)|prism]] with a [[parallelogram]] as its base. Hence two pairs of vectors are perpendicular, while the third pair makes an angle other than 90°.
 
==Bravais lattices and point/space groups==
Two monoclinic [[Bravais lattice]]s exist: the primitive monoclinic and the centered monoclinic lattices, with layers with a rectangular and rhombic lattice, respectively.
 
{| class=wikitable
|+ Monoclinic Bravais lattice
|-
!Name
!Primitive
!Base-centered
|-
![[Pearson symbol]]
!mP
!mC
|-
![[Unit cell]]
|[[image:Monoclinic.svg|100px]]
|[[image:Monoclinic-base-centered.svg|100px]]
|}
 
==Crystal classes==
The ''monoclinic crystal system'' class names, examples, [[Schönflies notation]], [[Hermann-Mauguin notation]], [[crystallographic point group|point groups]], International Tables for Crystallography space group number,<ref name="ITC">{{cite book |title=International Tables for Crystallography |doi=10.1107/97809553602060000001 |isbn=978-1-4020-4969-9 |editor-first=E. |editor-last=Prince |year=2006 |publisher= International Union of Crystallography}}</ref> [[orbifold]], type, and [[space groups]] are listed in the table below.
 
{| class=wikitable
|- align=center
! rowspan=2|#
! colspan=5|Point group
! rowspan=2|Type<BR>(Example)
!rowspan=2| Space groups
|-
!Name
! [[Schoenflies notation|Schön.]]
! [[Hermann-Mauguin notation|Intl]]
! [[orbifold|Orb.]]
! [[Coxeter notation|Cox.]]
|- align=center
!3-5
| Sphenoidal <ref name="x-name">{{cite web |title=The 32 crystal classes|url=http://www.cartage.org.lb/en/themes/sciences/physics/SolidStatePhysics/AtomicBonding/CrystalStructure/32Crystal/32Crystal.htm |accessdate=2009-07-08 }}</ref>
||  C<sub>2</sub>|| <math>2\ </math>|| 22|| [2]<sup>+</sup>
|| [[enantiomorphic]] [[Chemical polarity|polar]]<BR>([[halotrichite]])
|align=left| P2, P2<sub>1</sub><BR>C2
|- align=center
!6-9
| Domatic <ref name="x-name"/>
|| C<sub>1h</sub> (=C<sub>1v</sub> = C<sub>s</sub>)
|| <math>\bar{2} = m</math>|| *11|| [&nbsp;]
|| [[Chemical polarity|polar]]<BR>([[hilgardite]])
|align=left| Pm, Pc<BR>Cm, Cc
|- align=center
!10-15
| Prismatic <ref name="x-name"/>
|| C<sub>2h</sub>|| <math>2/m\,\!</math>|| 2*|| [2,2<sup>+</sup>]
|| [[centrosymmetric]]<BR>([[gypsum]])
|align=left| P2/m, P2<sub>1</sub>/m, C2/m<BR>P2/c, P2<sub>1</sub>/c, C2/c
|}
 
Sphenoidal is also monoclinic hemimorphic; Domatic is also monoclinic hemihedral; Prismatic is also monoclinic normal.
 
The three monoclinic hemimorphic space groups are as follows:
* a prism with as cross-section [[Wallpaper group#Group p2|wallpaper group p2]]
* ditto with screw axes instead of axes
* ditto with screw axes as well as axes, parallel, in between; in this case an additional translation vector is one half of a translation vector in the base plane plus one half of a perpendicular vector between the base planes.
 
The four monoclinic hemihedral space groups include
* those with pure reflection at the base of the prism and halfway
* those with glide planes instead of pure reflection planes; the glide is one half of a translation vector in the base plane
* those with both in between each other; in this case an additional translation vector is this glide plus one half of a perpendicular vector between the base planes.
 
==Specific chemical examples==
An example of a monoclinic crystal is elemental sulfur (which can also occur in a rhombic form).<ref>C.Michael Hogan. 2011. [http://www.eoearth.org/article/Sulfur?topic=49557 ''Sulfur''. Encyclopedia of Earth, eds. A.Jorgensen and C.J.Cleveland, National Council for Science and the environment, Washington DC]</ref>
 
==See also==
*[[Crystal structure]]
 
==References==
{{reflist}}
* Hurlbut, Cornelius S.; Klein, Cornelis, 1985, ''Manual of Mineralogy'', 20th ed., pp.&nbsp;65 – 69, ISBN 0-471-80580-7
 
{{Crystal systems}}
 
{{DEFAULTSORT:Monoclinic Crystal System}}
[[Category:Crystallography]]

Latest revision as of 16:38, 4 January 2015

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