Jump to content
 







Main menu
   


Navigation  



Main page
Contents
Current events
Random article
About Wikipedia
Contact us
Donate
 




Contribute  



Help
Learn to edit
Community portal
Recent changes
Upload file
 








Search  

































Create account

Log in
 









Create account
 Log in
 




Pages for logged out editors learn more  



Contributions
Talk
 



















Contents

   



(Top)
 


1 Preparation  





2 Structure  





3 Properties  



3.1  Electrical conductivity  





3.2  Resistivity and temperature  





3.3  Metal-insulator transition  





3.4  Superconducting state  





3.5  Thermal conductivity  





3.6  Magnetoresistance  







4 See also  





5 References  














Lithium molybdenum purple bronze







Add links
 









Article
Talk
 

















Read
Edit
View history
 








Tools
   


Actions  



Read
Edit
View history
 




General  



What links here
Related changes
Upload file
Special pages
Permanent link
Page information
Cite this page
Get shortened URL
Download QR code
Wikidata item
 




Print/export  



Download as PDF
Printable version
 
















Appearance
   

 






From Wikipedia, the free encyclopedia
 


Lithium molybdenum purple bronze is a chemical compound with formula Li
0.9
Mo
6
O
17
, that is, a mixed oxideofmolybdenum and lithium. It can be obtained as flat crystals with a purple-red color and metallic sheen (hence the "purple bronze" name).[1][2]

This compound is one of several molybdenum bronzes with general formula A
x
Mo
y
O
z
where A is an alkali metalorthallium Tl. It stands out among them (and also among the sub-class of "purple" molybdenum bronzes) for its peculiar electrical properties, including a marked anisotropy that makes it a "quasi-1D" conductor, and a metal-to-insulator transition as it is cooled below 30 K.

Preparation[edit]

The compound was first obtained by Martha Greenblatt and others by a temperature gradient flux technique. In a typical preparation, a stoichometric melt of Li
2
MoO
4
, MoO
2
and MoO
3
is maintained in a temperature gradient from 490 to 640 °C oven 15 cm in vacuum over several days. Excess reagents are dissolved with a hot potassium carbonate solution releasing metallic-purple plate-like crystals, a couple mm wide and less than a mm thick.[1][3]

Structure[edit]

The crystal structure of Li
0.9
Mo
6
O
17
was determined by Onoda and others through single-crystal X-ray diffraction. The crystal system is monoclinic, with approximate unit cell dimensions a = 1.2762 nm, b = 0.5523 nm, and c = 0.9499 nm, with angle β = 90.61°, volume V = 0.6695 nm3 and Z = 2. In typical crystals, a is the shortest dimension (perpendicular to the plates) and b the longest. The density is 4.24 g/cm3. The structure is rather different from that of potassium molybdenum purple bronze K
0.9
Mo
6
O
17
, except that both are organized in layers. The difference may be explained by the relative sizes of the K+
and Li+
ions.[1][2]

The unit cell contains six crystallographically independent molybdenum sites. One-third of the molybdenum atoms are surrounded by four oxygens, two thirds are surrounded by six oxygens. The crystal is a stack of slabs; each slab consists of three layers of distorted MoO
6
octahedra sharing corners. The lithium ions are inserted in the large vacant sites between the slabs. There are zigzag chains of alternating molybdenum and oxygen atoms extending along the b axis.[2]

Properties[edit]

Lithium molybdenum purple bronze is quite different than the sodium, potassium and thallium analogs. It has a three-dimensional crystal structure, but a pseudo-one-dimensional (1D) metallic character, eventually becoming a superconductor at about 2 K.[4] Its properties are most spectacular below 5 meV. The Tomonaga-Luttinger liquid theory has been invoked to explain its anomalous behavior.[5]

Electrical conductivity[edit]

At room temperature, Greenblatt and others (in 1984) measured the resistivity of lithium purple bronze along the a, b and c axes as 2.47 Ω cm, 0.0095 Ω cm, and on the order of 0.25 Ω cm, respectively.[1] The conductivities would be in the ratio 1:250:10,[2][6] which would make this compound an almost one-dimensional conductor. However, Da Luz and others (2007) measured 0.079, 0.018, and 0.050 Ω cm, respectively,[7] which corresponds to conductivity ratios 1:6:2.4 for a:b:c; whereas H. Chen and others (2010) measured 0.854, 0.016, and 0.0645 Ω cm, respectively,[3] which correspond to conductivity ratios of 1:53:13.[3]

This anisotropy has been attributed to the crystal structure, specifically to the zig-zag chains of molybdenum and oxygen atoms [2]

Resistivity and temperature[edit]

The resistivity along all three axes increases linearly with temperature from about 30 K to 300 K, as in a metal.[3] This is anomalous since such a law is expected above the Debye temperature (= 400 K for this compound)[8] The resistivity ratios along the three axes are preserved in that range.[3]

Metal-insulator transition[edit]

As the lithium purple bronze is cooled from 30 K to 20, it changes abruptly to an insulator. After reaching a minimum at about 24 K, the resistivity increases 10-fold and becomes somewhat more isotropic, with conductivities 1:25:14. The anisotropy is partially restored if a magnetic field is applied perpendicular to the b axis.[3] The transition may be related to the onset of a charge density wave.[1] Santos and others have observed that the thermal expansion coefficient is largest along the a axis, so cooling will bring the conducting chains closer together, leading to a dimensional cross-over.[9] The theory of Luttinger liquids then predicts such behavior. Anyway, as of 2010 there was no consensus explanation for this transition.[3] In 2023 it has been suggested that the strange behaviour could be by emergent symmetry (in contrast to symmetry breaking) from interference between the conduction electrons and dark excitons[10][11]

Superconducting state[edit]

Lithium molybdenum purple bronze becomes superconductor between 1 and 2 K.[1]

Thermal conductivity[edit]

Li0.9Mo6O17, due to spin–charge separation, can have a much higher thermal conductivity than predicted by the Wiedemann-Franz law. [12]

Magnetoresistance[edit]

The magnetoresistance of lithium purple bronze is negative when the magnetic field is applied along the b-axis, but large and positive when the field is applied along the a-axis and the c-axis.[3]

See also[edit]

References[edit]

  1. ^ a b c d e f Greenblatt, M.; McCarroll, W.H.; Neifeld, R.; Croft, M.; Waszczak, J.V. (1984). "Quasi two-dimensional electronic properties of the lithium molybdenum bronze, Li0.9Mo6O17". Solid State Communications. 51 (9). Elsevier BV: 671–674. Bibcode:1984SSCom..51..671G. doi:10.1016/0038-1098(84)90944-x. ISSN 0038-1098.
  • ^ a b c d e Onoda, M.; Toriumi, K.; Matsuda, Y.; Sato, M. (1987). "Crystal structure of lithium molybdenum purple bronze Li0.9Mo6O17". Journal of Solid State Chemistry. 66 (1). Elsevier BV: 163–170. Bibcode:1987JSSCh..66..163O. doi:10.1016/0022-4596(87)90231-3. ISSN 0022-4596.
  • ^ a b c d e f g h Chen, H.; Ying, J. J.; Xie, Y. L.; Wu, G.; Wu, T.; Chen, X. H. (2010-03-01). "Magnetotransport properties in purple bronze Li0.9Mo6O17 single crystal". EPL (Europhysics Letters). 89 (6). IOP Publishing: 67010. arXiv:0906.3855. Bibcode:2010EL.....8967010C. doi:10.1209/0295-5075/89/67010. ISSN 0295-5075. S2CID 122903841.
  • ^ Whangbo, Myung Hwan.; Canadell, Enric. (1988). "Band electronic structure of the lithium molybdenum purple bronze Li0.9Mo6O17". Journal of the American Chemical Society. 110 (2). American Chemical Society (ACS): 358–363. doi:10.1021/ja00210a006. ISSN 0002-7863.
  • ^ Chudzinski, P.; Jarlborg, T.; Giamarchi, T. (2012-08-27). "Luttinger-liquid theory of purple bronze Li0.9Mo6O17 in the charge regime". Physical Review B. 86 (7): 075147. arXiv:1205.0239. Bibcode:2012PhRvB..86g5147C. doi:10.1103/physrevb.86.075147. ISSN 1098-0121. S2CID 53396531.
  • ^ Martha Greenblatt (1996), "Molybdenum and tungsten bronzes: Low-dimensional metals with unusual properties". In C. Schlenker ed., "Physics and Chemistry of Low-Dimensional Inorganic Conductors" Book, Springer, 481 pages. ISBN 9780306453045
  • ^ da Luz, M. S.; dos Santos, C. A. M.; Moreno, J.; White, B. D.; Neumeier, J. J. (2007-12-21). "Anisotropic electrical resistivity of quasi-one-dimensional Li0.9Mo6O17 determined by the Montgomery method". Physical Review B. 76 (23). American Physical Society (APS): 233105. Bibcode:2007PhRvB..76w3105D. doi:10.1103/physrevb.76.233105. ISSN 1098-0121.
  • ^ Boujida, Mohamed; Escribe-Filippini, Claude; Marcus, Jacques; Schlenker, Claire (1988). "Superconducting properties of the low dimensional lithium molybdenum purple bronze Li0.9Mo6O17". Physica C: Superconductivity. 153–155. Elsevier BV: 465–466. Bibcode:1988PhyC..153..465B. doi:10.1016/0921-4534(88)90685-5. ISSN 0921-4534.
  • ^ dos Santos, C. A. M.; White, B. D.; Yu, Yi-Kuo; Neumeier, J. J.; Souza, J. A. (2007-06-28). "Dimensional Crossover in the Purple Bronze Li0.9Mo6O17". Physical Review Letters. 98 (26). American Physical Society (APS): 266405. Bibcode:2007PhRvL..98z6405D. doi:10.1103/physrevlett.98.266405. ISSN 0031-9007. PMID 17678113.
  • ^ Chudzinski, P.; Berben, M.; Xu, Xiaofeng; Wakeham, N.; Bernáth, B.; Duffy, C.; Hinlopen, R. D. H.; Hsu, Yu-Te; Wiedmann, S.; Tinnemans, P.; Jin, Rongying; Greenblatt, M.; Hussey, N. E. (2023-11-17). "Emergent symmetry in a low-dimensional superconductor on the edge of Mottness". Science. 382 (6672): 792–796. doi:10.1126/science.abp8948. ISSN 0036-8075.
  • ^ Tomé, César (2023-11-21). "Purple bronze, from insulator to superconductor and back". Mapping Ignorance. Retrieved 2023-12-02.
  • ^ Wiedemann-Franz Law: Physicists break 150-year-old empirical laws of physics,Gross violation of the Wiedemann–Franz law in a quasi-one-dimensional conductor Wakeham et al. 2011

  • Retrieved from "https://en.wikipedia.org/w/index.php?title=Lithium_molybdenum_purple_bronze&oldid=1188014775"

    Categories: 
    Molybdenum compounds
    Lithium compounds
    Oxides
    Hidden category: 
    CS1: long volume value
     



    This page was last edited on 2 December 2023, at 21:29 (UTC).

    Text is available under the Creative Commons Attribution-ShareAlike License 4.0; additional terms may apply. By using this site, you agree to the Terms of Use and Privacy Policy. Wikipedia® is a registered trademark of the Wikimedia Foundation, Inc., a non-profit organization.



    Privacy policy

    About Wikipedia

    Disclaimers

    Contact Wikipedia

    Code of Conduct

    Developers

    Statistics

    Cookie statement

    Mobile view



    Wikimedia Foundation
    Powered by MediaWiki