Metal-Ligand Polyhedra: Difference between revisions

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<StructureSection load='' size='450' side='right' scene='40/405708/Polyhedron_main_chains/11' caption=''>
Metal ions with square planar coordination, when mixed with bent bidentate ligands, can self-assemble into polyhedra of various sizes. Geometrical constraints limit the number of metal ions (vertices) to 6, 12, 24, 30, or 60 for entropically favored regular or semiregular polyhedra<ref>Coxeter, H. S. M., ''Regular Polytopes'', Dover Publications, New York, 3rd ed., 1973.</ref>. In 2010 was reported self-assembly of a "giant" polyhedron with 24 metal ions, and a hollow spherical interior 36 &Aring; in diameter<ref name="sun-fujita-2010" />. The self-assembly process demonstrates emergent behavior, and is reminiscent of the self-assembly of large biological structures, such as virus capsids. Such nano-spheres can also be functionalized to create, among other possibilities, synthetic receptors and nanoreactors<ref name="news-and-views" />. A 2022 extensive review<ref name="2022rev">McTernan, Charlie T., Jack A. Davies, and Jonathan R. Nitschke, [https://pubs.acs.org/doi/10.1021/acs.chemrev.1c00763 Beyond Platonic: How to Build Metal–Organic Polyhedra Capable of Binding Low-Symmetry, Information-Rich Molecular Cargoes],  Chem. Rev. 2022, 122, 10393−10437.</ref> cites potential applications in sensing, catalysis, and drug delivery<ref name="2015apps">PMID: 25319756</ref><ref name="2021biomed">PMID: 32255835</ref>.


==M24L48 Polyhedron (26 Faces)==
==M24L48 Polyhedron (26 Faces)==


<applet size='400' frame='true' align='right'
Shown at right (<scene name='40/405708/Polyhedron_main_chains/11'>restore initial scene</scene>) is a crystallographic model for the largest metal-ligand polyhedron reported as of May, 2010<ref name="sun-fujita-2010" >PMID: 20430973</ref>. It has an interior cavity about 32 &Aring; in diameter. <scene name='Metal-Ligand_Polyhedra/Polyhedron_main_chains/10'>24 palladium ions</scene> form the vertices of a 26-face polyhedron<ref>M24L48 forms a 26-faced ''rhombicubooctahedron'' with 18 square faces and 8 triangular faces. In this instance, the rectangular faces are very close to squares 13.35 &Aring;ngstroms on a side.</ref>. Three square faces and one triangular face meet at each vertex.
scene='Metal-Ligand_Polyhedra/Polyhedron_main_chains/4' />
Metal ions with square planar coordination, when mixed with bent bidentate ligands, can self-assemble into polyhedra of various sizes. Geometrical constraints limit the number of metal ions (vertices) to 6, 12, 24, 30, or 60 for entropically favored regular or semiregular polyhedra<ref>Coxeter, H. S. M., ''Regular Polytopes'', Dover Publications, New York, 3rd ed., 1973.</ref>. Shown at right (<scene name='Metal-Ligand_Polyhedra/Polyhedron_main_chains/4'>restore initial scene</scene>) is the "main chain" of a crystallographic model for the largest such structure reported as of May, 2010<ref name="sun-fujita-2010" >PMID: 20430973</ref>. <scene name='Metal-Ligand_Polyhedra/Polyhedron_main_chains/5'>24 palladium ions</scene> form the vertices of a 26-face polyhedron<ref>M24L48 forms a 26-faced ''rhombicubooctahedron'' with 18 square faces and 8 triangular faces. In this instance, the rectangular faces are very close to squares 13.35 &Aring;ngstroms on a side.</ref>. Three square faces and one triangular face meet at each vertex.


Each palladium ion is coordinated by <scene name='Metal-Ligand_Polyhedra/Polyhedron_main_chains/6'>four nitrogens</scene>. The nitrogens are bridged by a <scene name='Metal-Ligand_Polyhedra/Single_main_chain_ligand/1'>dipyridylthiophene</scene> ("ligand"). There are two ligand molecules (L) per metal ion (M); hence, this structure is called '''M24L48'''.
<span style="font-size:200%;">{{Template:ColorKey_Element_C}}, {{Template:ColorKey_Element_N}}, '''<span style="background-color:black;color:yellow;">&nbsp;S&nbsp;</span>, {{Font color|#00b000|Pd}}'''</span>


The models shown thus far are simplified, including only the "main chain". The actual M24L48 complex analyzed crystallographically contained a substituent of -OCH<sub>2</sub>CH<sub>2</sub>O- on each thiophene ring, PF<sub>6</sub><sup>-</sup> counterions bound to the surface of the polyhedron, and hydrogen atoms. Here is the <scene name='Metal-Ligand_Polyhedra/M2l1_with_och2ch2o_h_pf6/1'>chemically complete M2L1 subunit</scene> (but lacking the three additional nitrogens coordinating each palladium, and water, which was not resolved crystallographically). Here is the <scene name='Metal-Ligand_Polyhedra/Full_polyhedron/2'>complete M24L48 polyhedron</scene> (but lacking PF<sub>6</sub> and water).
Each palladium ion is coordinated by <scene name='Metal-Ligand_Polyhedra/Polyhedron_main_chains/9'>four nitrogens</scene>. The nitrogens are bridged by a <scene name='Metal-Ligand_Polyhedra/Single_main_chain_ligand/2'>dipyridylthiophene</scene> ("ligand"). There are two ligand molecules (L) per metal ion (M); hence, this structure is called '''M24L48'''.
 
The models shown thus far are simplified, including only the "main chain". The actual M24L48 complex analyzed crystallographically contained a substituent of -OCH<sub>2</sub>CH<sub>2</sub>O- on each thiophene ring, PF<sub>6</sub><sup>-</sup> counterions bound to the surface of the polyhedron, and hydrogen atoms. Here is the <scene name='Metal-Ligand_Polyhedra/M2l1_with_och2ch2o_h_pf6/3'>chemically complete M2L1 subunit</scene> (but lacking the three additional nitrogens coordinating each palladium, and water, which was not resolved crystallographically). Here is the <scene name='Metal-Ligand_Polyhedra/Full_polyhedron/5'>complete M24L48 polyhedron</scene> (but lacking PF<sub>6</sub><sup>-</sup> and water).
 
The diameter of this M24L48 polyhedron is 40 &Aring; (Pd to farthest Pd). A sphere of 50 &Aring; circumscribes the molecular shell, and a sphere of 36 &Aring; can be inscribed in the interior. In comparison, the diameter of the M12L24 polyhedron (see below) is 26 &Aring; (Pd to farthest Pd).


==Ligand Angle vs. Polyhedron Size==
==Ligand Angle vs. Polyhedron Size==
The dipyridylthiphene ligand pictured above, in the M24L48 polyhedron, has a bend angle of 149<sup>o</sup><ref name="sun-fujita-2010" />. A ligand with a sharper bend of 129<sup>o</sup> (dipyridylfuran<ref>Dipyridylfuran differs from dipyridylthiophene in that oxygen replaces the sulfur.</ref>) forms a smaller polyhedron, M12L24<ref name="tominaga-fujita-2004">PMID: 15455450</ref>. A ligand with an even sharper bend of 90<sup>o</sup> forms M6L12<ref name="suzuki-fujita-2009">PMID: 19294246</ref>.
 
* '''149<sup>o</sup>: M24L48.''' The dipyridylthiphene ligand described above, in the M24L48 polyhedron, has a bend angle of 149<sup>o</sup><ref name="sun-fujita-2010" />.
* '''127<sup>o</sup>: M12L24.''' A ligand with a sharper bend of 127<sup>o</sup> (dipyridylfuran<ref>Dipyridylfuran differs from dipyridylthiophene in that oxygen replaces the sulfur.</ref>) forms a <scene name='Metal-Ligand_Polyhedra/M12l24_single_polyhedron/2'>smaller polyhedron, M12L24</scene><ref name="tominaga-fujita-2004">PMID: 15455450</ref>.
Interestingly, mixtures of the two ligands (149 and 127 degrees) form only one size of polygon: a 3:7 mixture respectively (and up to 10:0) forms only M24L48, while a 2:8 mixture (and down to 0:10) forms only M12L24<ref name="sun-fujita-2010" />.
* '''90<sup>o</sup>: M6L12.''' A ligand with an even sharper bend of 90<sup>o</sup> forms M6L12<ref name="suzuki-fujita-2009">PMID: 19294246</ref>.


==Significance==
==Significance==
Metal-ligand polyhedra could serve as nanoreactors containing a chemically defined nano-environment. Similar polyhedra have been constructed from ligands with covalent adducts facing the interior. Specifically, 24 perfluoroalkyl chains have been caged in an M12L24 polyhedron, forming a fluorous phase potentially useful for separation, purification, or reaction control in organic syntheses<ref>PMID: 16946067</ref>. In addition, the surfaces of such polyhedra have been decorated with attached groups. Photoresponsive nanoparticles have been demonstrated<ref>PMID: 20508119</ref>.
Metal-ligand polyhedra could serve as nanoreactors containing a chemically defined nano-environment. Similar polyhedra have been constructed from ligands with covalent adducts facing the interior: "endohedral functionalization". In one case, 24 perfluoroalkyl chains were caged in an M12L24 polyhedron, forming a fluorous phase potentially useful for separation, purification, or reaction control in organic syntheses<ref>PMID: 16946067</ref>. In addition, the surfaces of such polyhedra have been decorated with attached groups. Photoresponsive nanoparticles and other functionalizations have been demonstrated<ref name="news-and-views">PMID: 20508119</ref>.


More generally, self-assembly of metal-ligand polyhedra demonstrates emergent behavior, in which microscopic differences lead to macroscopic differences.  Such self-assembly is reminiscent of the assembly of virus capsids and other biological structures.
More generally, self-assembly of metal-ligand polyhedra demonstrates emergent behavior, in which microscopic differences (such as ligand angles) lead to macroscopic differences (such as polyhedron size).  Such self-assembly is reminiscent of the assembly of virus capsids and other biological structures.


==Models==
Models shown in this article were kindly provided by Makoto Fujita, who gave permission for their display here. In [[FirstGlance in Jmol]], click '''Vines''' to display the molecule as sticks.
*M24L48 main chain atoms only: [[Image:M24L48_main_chains.pdb]]
**[http://firstglance.jmol.org/fg.htm?mol=https://proteopedia.org/wiki/images/a/ad/M24L48_main_chains.pdb View in FirstGlance in Jmol]
*M24L48 all atoms: [[Image:M24l48-single-polyhedron.pdb]] (This is actually in the XYZ atomic coordinate file format.)
**[http://firstglance.jmol.org/fg.htm?mol=https://proteopedia.org/wiki/images/b/ba/M24l48-single-polyhedron.pdb View in FirstGlance in Jmol], then:
** Views tab, Vines/Sticks.
*M12L24 all atoms: [[Image:M12L24-single-polyhedron.pdb]]
**[http://firstglance.jmol.org/fg.htm?mol=https://proteopedia.org/wiki/images/d/d5/M12L24-single-polyhedron.pdb View in FirstGlance in Jmol]
</StructureSection>
==References and Notes==
==References and Notes==
<references/>
<references/>
==Models==
*M24L48 main chain atoms only: [[Image:M24L48_main_chains.pdb]]
**[http://firstglance.jmol.org/fg.htm?mol=http://proteopedia.org/wiki/images/a/ad/M24L48_main_chains.pdb View in FirstGlance in Jmol]
*M24L48 all atoms: [[Image:M24l48-single-polyhedron.pdb]]
**[http://firstglance.jmol.org/fg.htm?mol=http://proteopedia.org/wiki/images/b/ba/M24l48-single-polyhedron.pdb View in FirstGlance in Jmol]

Proteopedia Page Contributors and Editors (what is this?)Proteopedia Page Contributors and Editors (what is this?)

Eric Martz, Alexander Berchansky