{"id":31892,"date":"2026-09-10T10:57:07","date_gmt":"2026-09-10T09:57:07","guid":{"rendered":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?p=31892"},"modified":"2026-09-10T11:01:39","modified_gmt":"2026-09-10T10:01:39","slug":"identifying-the-origins-of-the-ring-size-specificity-of-transition-metals-for-polysulfide-anions-tuning-the-effect","status":"publish","type":"post","link":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?p=31892","title":{"rendered":"Identifying the origins of the ring-size specificity of transition metals for polysulfide anions: &#8220;tuning&#8221; the effect."},"content":{"rendered":"<div class=\"kcite-section\" kcite-section-id=\"31892\">\n<p>A recently published article addresses<span id=\"cite_ITEM-31892-0\" name=\"citation\"><a href=\"#ITEM-31892-0\">[1]<\/a><\/span> the long standing problem of why transition metals complexes such as <em>e.g.<\/em> Cp<sub>2<\/sub>TiCl<sub>2<\/sub> in the presence of solutions of polysulfide dianions containing sulfur chains of various lengths, can react to form sulfur ring complexes of a specific size, depending on the metal. Thus when the early transition metal is Ti (Cp = cyclopentadienyl) it forms only the six membered ring shown below (X=S), with none of the five-membered\/four-sulfur ring present. However, other central and later transition period metals only form four-sulfur rings.<span id=\"cite_ITEM-31892-0\" name=\"citation\"><a href=\"#ITEM-31892-0\">[1]<\/a><\/span><br \/>\n<a href=\"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2026\/09\/Cp2TiS5.svg\"><img decoding=\"async\" class=\"aligncenter size-full wp-image-31907\" src=\"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2026\/09\/Cp2TiS5.svg\" alt=\"\" width=\"125\" \/><\/a><br \/>\nThe effect was attributed to the degree of overlap\u00a0of a localised sulfur p-orbital with a vacant Ti d-orbital as shown below (Figure 1. click on the diagram to get a 3D model).<\/p>\n<p><img decoding=\"async\" class=\"aligncenter size-full wp-image-31909\" onclick=\"jmolApplet([400,400],'load wp-content\/uploads\/2026\/09\/TiS5-NBO_mo84.xyz;isosurface color red blue wp-content\/uploads\/2026\/09\/TiS5-NBO_mo84.jvxl translucent;isosurface append color orange purple wp-content\/uploads\/2026\/09\/TiS5-NBO_mo90.jvxl translucent;zoom 150;spin -6;');\" src=\"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2026\/09\/TiS5-NBO_mo8490.jpg\" alt=\"\" width=\"300\" \/><br \/>\n<b>Figure 1.<\/b> Overlap between a sulfur p-donor and a titanium d-acceptor.<\/p>\n<p>One quantative estimate of the magnitude of the effect can be obtained using the NBO7 method<span id=\"cite_ITEM-31892-1\" name=\"citation\"><a href=\"#ITEM-31892-1\">[2]<\/a><\/span>, which provides a value for the perturbation interaction energy between the filled donor orbital (the S p-orbital) and the empty acceptor orbital (the Ti d-orbital) as a so-called E(2) energy. Thus in the article<span id=\"cite_ITEM-31892-0\" name=\"citation\"><a href=\"#ITEM-31892-0\">[1]<\/a><\/span> the E(2) energy for the Ti six-membered complex shown above was reported as 21.2 kcal\/mol (Table below) whereas for the analogous five-ring (for which the overlap between the two orbitals is less good) the value was 11.0 kcal\/mol. This effect can be related <span id=\"cite_ITEM-31892-0\" name=\"citation\"><a href=\"#ITEM-31892-0\">[1]<\/a><\/span> to the relative (free energy) stability of the product complex in the above reaction.<\/p>\n<p>The question now arises whether the effect can be &#8220;optimised&#8221; by changing some of the ring atoms from S to another. In fact eight crystal structures have been reported with such substitutions (Table) and so here the NBO7 analysis is repeated for these systems and a few other as yet unreported examples.<\/p>\n<table border=\"1\">\n<tbody>\n<tr>\n<th colspan=\"7\">Table. NBO7 E(2) interaction energy for variants of Cp<sub>2<\/sub>TiS<sub>5<\/sub>.<\/th>\n<\/tr>\n<tr>\n<th>CSD Name<\/th>\n<th>Ring atoms<\/th>\n<th>NBO7 E(2)<\/th>\n<th>Ti-S length, \u00c5<\/th>\n<th>Ti-S dihedral<\/th>\n<th>Lit\/CSD<\/th>\n<th>MN15L\/Def2-QZVPP NBO7<\/th>\n<\/tr>\n<tr>\n<td>CYPTIS01<\/td>\n<td>S, S, S, S, S<\/td>\n<td>21.20<\/td>\n<td>2.466, 2.470<\/td>\n<td>62.0<\/td>\n<td><span id=\"cite_ITEM-31892-2\" name=\"citation\"><a href=\"#ITEM-31892-2\">[3]<\/a><\/span><\/td>\n<td><span id=\"cite_ITEM-31892-3\" name=\"citation\"><a href=\"#ITEM-31892-3\">[4]<\/a><\/span><\/td>\n<\/tr>\n<tr>\n<td>KIVTOY<\/td>\n<td>S, S, Se, Se, Se<\/td>\n<td>21.70<\/td>\n<td>2.471<\/td>\n<td>65.7<\/td>\n<td><span id=\"cite_ITEM-31892-4\" name=\"citation\"><a href=\"#ITEM-31892-4\">[5]<\/a><\/span><\/td>\n<td><span id=\"cite_ITEM-31892-5\" name=\"citation\"><a href=\"#ITEM-31892-5\">[6]<\/a><\/span><\/td>\n<\/tr>\n<tr>\n<td>NIRXER<\/td>\n<td>S, S, X=N-Me (ax)<sup>\u2020<\/sup>, S, S<\/td>\n<td>15.35<\/td>\n<td>2.462, 2.479<\/td>\n<td>54.9<\/td>\n<td><span id=\"cite_ITEM-31892-6\" name=\"citation\"><a href=\"#ITEM-31892-6\">[7]<\/a><\/span>, <span id=\"cite_ITEM-31892-7\" name=\"citation\"><a href=\"#ITEM-31892-7\">[8]<\/a><\/span><\/td>\n<td><span id=\"cite_ITEM-31892-8\" name=\"citation\"><a href=\"#ITEM-31892-8\">[9]<\/a><\/span><\/td>\n<\/tr>\n<tr>\n<td>Unknown<\/td>\n<td>S, S, X=P-Me (ax), S, S<\/td>\n<td>23.59<\/td>\n<td>2.453<\/td>\n<td>63.5<\/td>\n<td>unknown<\/td>\n<td><span id=\"cite_ITEM-31892-9\" name=\"citation\"><a href=\"#ITEM-31892-9\">[10]<\/a><\/span><\/td>\n<\/tr>\n<tr>\n<td>SEDRUO<\/td>\n<td>S, S, X=As-Me(ax), S, S<\/td>\n<td>23.49<\/td>\n<td>2.454<\/td>\n<td>65.7<\/td>\n<td><span id=\"cite_ITEM-31892-10\" name=\"citation\"><a href=\"#ITEM-31892-10\">[11]<\/a><\/span><\/td>\n<td><span id=\"cite_ITEM-31892-11\" name=\"citation\"><a href=\"#ITEM-31892-11\">[12]<\/a><\/span><\/td>\n<\/tr>\n<tr>\n<td>SEDRUO<\/td>\n<td>S, S, X=As-Me(eq), S, S<\/td>\n<td>21.58<\/td>\n<td>2.460, 2.470<\/td>\n<td>64.8<\/td>\n<td><sup>\u2020<\/sup><\/td>\n<td><span id=\"cite_ITEM-31892-12\" name=\"citation\"><a href=\"#ITEM-31892-12\">[13]<\/a><\/span><\/td>\n<\/tr>\n<tr>\n<td>FEHTOB<\/td>\n<td>S, S, X=Cp<sub>2<\/sub>TiS<sub>5<\/sub>, S, S<\/td>\n<td><sup>\u2021<\/sup><\/td>\n<td>2.463<\/td>\n<td>68.9, 63.9<\/td>\n<td><span id=\"cite_ITEM-31892-13\" name=\"citation\"><a href=\"#ITEM-31892-13\">[14]<\/a><\/span><\/td>\n<td><span id=\"cite_ITEM-31892-14\" name=\"citation\"><a href=\"#ITEM-31892-14\">[15]<\/a><\/span><\/td>\n<\/tr>\n<tr>\n<td>VOSMUO<\/td>\n<td>S, S, Se, Se, Se<\/td>\n<td>21.70<\/td>\n<td>2.472<\/td>\n<td>65.7<\/td>\n<td><span id=\"cite_ITEM-31892-4\" name=\"citation\"><a href=\"#ITEM-31892-4\">[5]<\/a><\/span>, <span id=\"cite_ITEM-31892-15\" name=\"citation\"><a href=\"#ITEM-31892-15\">[16]<\/a><\/span><\/td>\n<td><span id=\"cite_ITEM-31892-16\" name=\"citation\"><a href=\"#ITEM-31892-16\">[17]<\/a><\/span><\/td>\n<\/tr>\n<tr>\n<td>VOSNEZ<\/td>\n<td>S, S,Se, Se, S<\/td>\n<td>19.93<\/td>\n<td>2.463, 2.475<\/td>\n<td>65.1, 64.1<\/td>\n<td><span id=\"cite_ITEM-31892-4\" name=\"citation\"><a href=\"#ITEM-31892-4\">[5]<\/a><\/span>, <span id=\"cite_ITEM-31892-17\" name=\"citation\"><a href=\"#ITEM-31892-17\">[18]<\/a><\/span><\/td>\n<td><span id=\"cite_ITEM-31892-18\" name=\"citation\"><a href=\"#ITEM-31892-18\">[19]<\/a><\/span><\/td>\n<\/tr>\n<tr>\n<td>VOSNAV<\/td>\n<td>Se,Se,Se,Se,Se<\/td>\n<td>21.38<\/td>\n<td>&#8211;<\/td>\n<td>66.2<\/td>\n<td><span id=\"cite_ITEM-31892-19\" name=\"citation\"><a href=\"#ITEM-31892-19\">[20]<\/a><\/span>,<span id=\"cite_ITEM-31892-20\" name=\"citation\"><a href=\"#ITEM-31892-20\">[21]<\/a><\/span><\/td>\n<td><span id=\"cite_ITEM-31892-21\" name=\"citation\"><a href=\"#ITEM-31892-21\">[22]<\/a><\/span><\/td>\n<\/tr>\n<tr>\n<td>ZEMXIV<\/td>\n<td>S, Se, Se, Se, Se<\/td>\n<td>18.65<\/td>\n<td>2.467<\/td>\n<td>67.0<\/td>\n<td><span id=\"cite_ITEM-31892-22\" name=\"citation\"><a href=\"#ITEM-31892-22\">[23]<\/a><\/span><\/td>\n<td><span id=\"cite_ITEM-31892-23\" name=\"citation\"><a href=\"#ITEM-31892-23\">[24]<\/a><\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2>Analysis<\/h2>\n<ol>\n<li>There appears to be a reasonable correction between the NBO E(2) energy and the Ti-S bond length. The shortest bond (X=PMe) corresponds to the highest E(2) value of 23.59 kcal\/mol. SEDRUO is a known example (X=AsMe, Figure 2) and X=PMe is worthy of synthesis to reinforce this conclusion.<\/li>\n<li>The donation from the sulfur\u00a0p-orbital to the Ti d-orbital appears to reach a maximum at\u00a0~65\u00b0, not far off the value for Cp<sub>2<\/sub>TiS<sub>5<\/sub> itself (Figure 1).<\/li>\n<li>The series\u00a0X=NMe, PMe, AsMe is interesting because the Me group has a favoured axial position (Figure 2), by an estimated 10.6 kcal\/mol for\u00a0X=NMe. This remarkable preference is probably caused by the bond angle subtended at X, since no strong stereoelectronic effect could be found\u00a0(such as donation from the lone pair on the N\/P\/As).<br \/>\n<img decoding=\"async\" class=\"aligncenter size-full wp-image-31980\" src=\"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2026\/09\/SEDRUO.jpg\" alt=\"\" width=\"400\" \/><br \/>\n<strong>Figure 2<\/strong>.Structure of SEDRUO, showing the strong axial preference.<\/li>\n<li>X = Cp<sub>2<\/sub>TiS<sub>5<\/sub> is interesting because it should exhibit the effect twice, at each Ti. Unfortunately the wavefunction for this species appears to have a pathological problem with converging to an NBO localised solution &#8211; we hope to find a solution to this at some stage. The Ti-S bond lengths however do not suggest the effect noted above will be especially high for this species.<\/li>\n<li><a href=\"https:\/\/www.ccdc.cam.ac.uk\/structures\/search?sid=ConQuest&#038;coden=INOCAJ&#038;year=1998&#038;spage=4726&#038;volume=37&#038;id=doi:10.1021\/ic9800839&#038;pid=ccdc:1239089\" target=\"_blank\">PUJFUV<\/a><span id=\"cite_ITEM-31892-24\" name=\"citation\"><a href=\"#ITEM-31892-24\">[25]<\/a><\/span> replaces one six-electron Cp ligand metal donor with an apparent two-electron contribution from an 2,6-di-isopropylphenoxy ligand. This has a measured Ti-O bond length of 1.795\u00c5, which is towards the shorter end of the spectrum of Ti-O lengths (which range from ~1.7 to ~2.2\u00c5). This intriguing example will be analysed in a separate post.<\/li>\n<\/ol>\n<h2>Conclusions<\/h2>\n<p>The effect identified previously<span id=\"cite_ITEM-31892-0\" name=\"citation\"><a href=\"#ITEM-31892-0\">[1]<\/a><\/span> which is responsible for the preference of early transition metals such as Ti to form polysulfide rings with five sulfurs rather than four appears to reach a maximum for the known species X=AsMe (Figure 2) or the as yet unmade molecule with X=PMe.<\/p>\n<hr \/>\n<p><small><sup>\u2020<\/sup>The equatorial isomer for X=NMe is a remarkable ~10.6 kcal\/mol higher in free energy.<span id=\"cite_ITEM-31892-25\" name=\"citation\"><a href=\"#ITEM-31892-25\">[26]<\/a><\/span> whereas for X=AsMe it is reduced to 4.59 kcal\/mol. This is probably due to the angle subtended at N\/As, which is 117.7\u00b0 for N and 103.6\u00b0 for As, which may also propagate to the values of the dihedral angle. <sup>\u2021<\/sup>The NBO7 localisation search terminated unsuccessfully after considering 100000 bonding patterns.<\/small><\/p>\n<h2>References<\/h2>\n    <ol class=\"kcite-bibliography csl-bib-body\"><li id=\"ITEM-31892-0\">H.S. Rzepa, and J.D. Woollins, \"Identifying the origins of the ring-size specificity of transition metals for polysulfide anions\", <i>Dalton Transactions<\/i>, 2026. <a href=\"https:\/\/doi.org\/10.1039\/d6dt01849a\">https:\/\/doi.org\/10.1039\/d6dt01849a<\/a>\n\n<\/li>\n<li id=\"ITEM-31892-1\">E.D. Glendening, C.R. Landis, and F. Weinhold, \"6 Natural bond orbital theory: Discovering chemistry with NBO7\", <i>Complementary Bonding Analysis<\/i>, pp. 129-156, 2021. <a href=\"https:\/\/doi.org\/10.1515\/9783110660074-006\">https:\/\/doi.org\/10.1515\/9783110660074-006<\/a>\n\n<\/li>\n<li id=\"ITEM-31892-2\">E. Muller, J.L. Petersen, and L.F. Dahl, \"Synthesis and characterization of Di-\u03c0-cyclopentadienyl- metal pentasulfides of titanium(IV) and vanadium (IV):an operational test of the influence of an unpaired electron on the molecular geometry\", <i>Journal of Organometallic Chemistry<\/i>, vol. 111, pp. 91-112, 1976. <a href=\"https:\/\/doi.org\/10.1016\/s0022-328x(00)87061-8\">https:\/\/doi.org\/10.1016\/s0022-328x(00)87061-8<\/a>\n\n<\/li>\n<li id=\"ITEM-31892-3\">H. Rzepa, \"CYPTIS5 MN15L\/Def2-TZVPP, G = -3227.141839 Def2-QZVPP NBO\", 2026. <a href=\"https:\/\/doi.org\/10.14469\/hpc\/15689\">https:\/\/doi.org\/10.14469\/hpc\/15689<\/a>\n\n<\/li>\n<li id=\"ITEM-31892-4\">P. Pekonen, Y. Hiltunen, R.S. Laitinen, and J. Valkonen, \"Selenium-77 NMR spectroscopic and x-ray crystallographic characterization of bis(cyclopentadienyl)titanium selenide sulfide mixtures [Ti(C5H5)2SexS5x]\", <i>Inorganic Chemistry<\/i>, vol. 30, pp. 1874-1878, 1991. <a href=\"https:\/\/doi.org\/10.1021\/ic00008a036\">https:\/\/doi.org\/10.1021\/ic00008a036<\/a>\n\n<\/li>\n<li id=\"ITEM-31892-5\">H. Rzepa, \"KIVTOY MN15L\/Def2-TZVPP DCM  =&gt; NBO7 Def2-QZVPP\", 2026. <a href=\"https:\/\/doi.org\/10.5281\/zenodo.22270368\">https:\/\/doi.org\/10.5281\/zenodo.22270368<\/a>\n\n<\/li>\n<li id=\"ITEM-31892-6\">R. Steudel, O. Schumann, J. Buschmann, and P. Luger, \"S4NR (R=Methyl,n-Octyl) as Novel Chelating Ligands in Titanocene Complexes and First Synthesis of Small Sulfurimide Heterocycles SnNR (n=5, 6)\", <i>Angewandte Chemie International Edition<\/i>, vol. 37, pp. 492-494, 1998. <a href=\"https:\/\/doi.org\/10.1002\/(sici)1521-3773(19980302)37:4492::aid-anie4923.0.co;2-a\">https:\/\/doi.org\/10.1002\/(sici)1521-3773(19980302)37:4&lt;492::aid-anie492&gt;3.0.co;2-a<\/a>\n\n<\/li>\n<li id=\"ITEM-31892-7\">Steudel, R.., Schumann, O.., Buschmann, J.., and Luger, P.., \"CCDC 103650: Experimental Crystal Structure Determination\", 1998. <a href=\"https:\/\/doi.org\/10.5517\/cc3gvky\">https:\/\/doi.org\/10.5517\/cc3gvky<\/a>\n\n<\/li>\n<li id=\"ITEM-31892-8\">H. Rzepa, \"NIRXER NBO7  Def2-QZVPP No solvent LP ( 2) S  4       88. BD*( 2)Ti  1- S  2     15.35\", 2026. <a href=\"https:\/\/doi.org\/10.5281\/zenodo.22141983\">https:\/\/doi.org\/10.5281\/zenodo.22141983<\/a>\n\n<\/li>\n<li id=\"ITEM-31892-9\">H. Rzepa, \"SEDRUO (As-Me) =&gt; P-Me ax G = -3210.173356  Def2-QZVPP NBO7 LP ( 2) S  5      . BD*( 2)Ti  1- S  6     23.59\", 2026. <a href=\"https:\/\/doi.org\/10.5281\/zenodo.22664179\">https:\/\/doi.org\/10.5281\/zenodo.22664179<\/a>\n\n<\/li>\n<li id=\"ITEM-31892-10\">R. Steudel, B. Holz, and J. Pickardt, \"Synthesis and Structure of [(C&lt;sub&gt;5&lt;\/sub&gt;H&lt;sub&gt;5&lt;\/sub&gt;)&lt;sub&gt;2&lt;\/sub&gt;TiS&lt;sub&gt;4&lt;\/sub&gt;AsCH&lt;sub&gt;3&lt;\/sub&gt;]\u2014a New Reagent for the Synthesis of Sulfur\u2010Rich Heterocycles\", <i>Angewandte Chemie International Edition in English<\/i>, vol. 28, pp. 1269-1271, 1989. <a href=\"https:\/\/doi.org\/10.1002\/anie.198912691\">https:\/\/doi.org\/10.1002\/anie.198912691<\/a>\n\n<\/li>\n<li id=\"ITEM-31892-11\">H. Rzepa, \"SEDRUO (As-Me)  NBO7 LP ( 2) S  5    BD*( 2)Ti  1- S  6     23.49\", 2026. <a href=\"https:\/\/doi.org\/10.5281\/zenodo.22286648\">https:\/\/doi.org\/10.5281\/zenodo.22286648<\/a>\n\n<\/li>\n<li id=\"ITEM-31892-12\">H. Rzepa, \"SEDRUO (As-Me) eq NBO7  =&gt;  Def2-QZVPP LP ( 2) S  4           101. BD*( 2)Ti  1- S  2     21.58\", 2026. <a href=\"https:\/\/doi.org\/10.5281\/zenodo.22669613\">https:\/\/doi.org\/10.5281\/zenodo.22669613<\/a>\n\n<\/li>\n<li id=\"ITEM-31892-13\">D.M. Giolando, T.B. Rauchfuss, A.L. Rheingold, and S.R. Wilson, \"Chemistry of (RC5H4)2TiE5 (E = S, Se).  New information on its reactions with nucleophiles, syntheses and reactions of 1,4-[(RC5H4)2Ti]2E4, and a second isomer of (RC5H4)2TiS2C2(CO2Me)2\", <i>Organometallics<\/i>, vol. 6, pp. 667-675, 1987. <a href=\"https:\/\/doi.org\/10.1021\/om00146a040\">https:\/\/doi.org\/10.1021\/om00146a040<\/a>\n\n<\/li>\n<li id=\"ITEM-31892-14\">H. Rzepa, \"FEHTOB Cp2Ti(SS)2TiCp2 NBO7 TZVPP\", 2026. <a href=\"https:\/\/doi.org\/10.5281\/zenodo.22655433\">https:\/\/doi.org\/10.5281\/zenodo.22655433<\/a>\n\n<\/li>\n<li id=\"ITEM-31892-15\">Laasonen, Heli., Ik\u00e4heimonen, Johanna., Suomela, Mikko., Rautiainen, J. Mikko., and Laitinen, Risto S.., \"CCDC 1887988: Experimental Crystal Structure Determination\", 2019. <a href=\"https:\/\/doi.org\/10.5517\/ccdc.csd.cc21clvw\">https:\/\/doi.org\/10.5517\/ccdc.csd.cc21clvw<\/a>\n\n<\/li>\n<li id=\"ITEM-31892-16\">H. Rzepa, \"VOSMUO NBO7  Def2-QZVPP  no solvent LP ( 2) S  2     116. BD*( 2)Ti  1- S  6     21.70\", 2026. <a href=\"https:\/\/doi.org\/10.5281\/zenodo.22141977\">https:\/\/doi.org\/10.5281\/zenodo.22141977<\/a>\n\n<\/li>\n<li id=\"ITEM-31892-17\">Laasonen, Heli., Ik\u00e4heimonen, Johanna., Suomela, Mikko., Rautiainen, J. Mikko., and Laitinen, Risto S.., \"CCDC 1887990: Experimental Crystal Structure Determination\", 2019. <a href=\"https:\/\/doi.org\/10.5517\/ccdc.csd.cc21clxy\">https:\/\/doi.org\/10.5517\/ccdc.csd.cc21clxy<\/a>\n\n<\/li>\n<li id=\"ITEM-31892-18\">H. Rzepa, \"VOSNEZ MN15L\/Def2-TZVPP DCM\", 2026. <a href=\"https:\/\/doi.org\/10.5281\/zenodo.22270375\">https:\/\/doi.org\/10.5281\/zenodo.22270375<\/a>\n\n<\/li>\n<li id=\"ITEM-31892-19\">H. Laasonen, J. Ik\u00e4heimonen, M. Suomela, J.M. Rautiainen, and R.S. Laitinen, \"Titanocene Selenide Sulfides Revisited: Formation, Stabilities, and NMR Spectroscopic Properties\", <i>Molecules<\/i>, vol. 24, pp. 319, 2019. <a href=\"https:\/\/doi.org\/10.3390\/molecules24020319\">https:\/\/doi.org\/10.3390\/molecules24020319<\/a>\n\n<\/li>\n<li id=\"ITEM-31892-20\">Laasonen, Heli., Ik\u00e4heimonen, Johanna., Suomela, Mikko., Rautiainen, J. Mikko., and Laitinen, Risto S.., \"CCDC 1887989: Experimental Crystal Structure Determination\", 2019. <a href=\"https:\/\/doi.org\/10.5517\/ccdc.csd.cc21clwx\">https:\/\/doi.org\/10.5517\/ccdc.csd.cc21clwx<\/a>\n\n<\/li>\n<li id=\"ITEM-31892-21\">H. Rzepa, \"VOZNAV MN15L\/Def2-QZVPP (Se only) NBO7 LP ( 2)Se  2    BD*( 2)Ti  1-Se  6     21.38\", 2026. <a href=\"https:\/\/doi.org\/10.5281\/zenodo.22286621\">https:\/\/doi.org\/10.5281\/zenodo.22286621<\/a>\n\n<\/li>\n<li id=\"ITEM-31892-22\">C.P. Raptopoulou, A. Terzis, N. Tzavellas, and N. Klouras, \"Sulfur\u2010Selenium Chelates: Crystal structure of the first titanocene derivative Ti(\u03b7&lt;sup&gt;5&lt;\/sup&gt;\u2010C&lt;sub&gt;5&lt;\/sub&gt;H&lt;sub&gt;5&lt;\/sub&gt;)&lt;sub&gt;2&lt;\/sub&gt;SSe&lt;sub&gt;4&lt;\/sub&gt;\", <i>Zeitschrift f\u00fcr anorganische und allgemeine Chemie<\/i>, vol. 621, pp. 1800-1802, 1995. <a href=\"https:\/\/doi.org\/10.1002\/zaac.19956211032\">https:\/\/doi.org\/10.1002\/zaac.19956211032<\/a>\n\n<\/li>\n<li id=\"ITEM-31892-23\">H. Rzepa, \"ZEMXIY NBO7  Def2-QZVPP No solvent LP ( 2)Se  3      124. BD*( 2)Ti  1- S  2     18.65\", 2026. <a href=\"https:\/\/doi.org\/10.5281\/zenodo.22141970\">https:\/\/doi.org\/10.5281\/zenodo.22141970<\/a>\n\n<\/li>\n<li id=\"ITEM-31892-24\">A.V. Firth, and D.W. Stephan, \"Monocyclopentadienyl\u2212Titanium Aryloxide Sulfide Complexes\", <i>Inorganic Chemistry<\/i>, vol. 37, pp. 4726-4731, 1998. <a href=\"https:\/\/doi.org\/10.1021\/ic9800839\">https:\/\/doi.org\/10.1021\/ic9800839<\/a>\n\n<\/li>\n<li id=\"ITEM-31892-25\">H. Rzepa, \"NIRXER Def2-TZVPP, DCM equatorial N-Me G = -2923.496304  (G = -2923.513188) DG = 10.6\", 2026. <a href=\"https:\/\/doi.org\/10.5281\/zenodo.22669635\">https:\/\/doi.org\/10.5281\/zenodo.22669635<\/a>\n\n<\/li>\n<\/ol>\n\n<\/div> <!-- kcite-section 31892 -->","protected":false},"excerpt":{"rendered":"<p>A recently published article addresses the long standing problem of why transition metals complexes such as e.g. Cp2TiCl2 in the presence of solutions of polysulfide dianions containing sulfur chains of various lengths, can react to form sulfur ring complexes of a specific size, depending on the metal. Thus when the early transition metal is Ti [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_feature_clip_id":0,"_jetpack_memberships_contains_paid_content":false,"activitypub_content_warning":"","activitypub_content_visibility":"","activitypub_max_image_attachments":5,"activitypub_interaction_policy_quote":"anyone","activitypub_status":"federated","footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2},"jetpack_post_was_ever_published":false,"_ppma_block_editor_authors":""},"categories":[4,1086],"tags":[],"ppma_author":[2661,2667],"class_list":["post-31892","post","type-post","status-publish","format-standard","hentry","category-interesting-chemistry","category-reaction-mechanism-2"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.4 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Identifying the origins of the ring-size specificity of transition metals for polysulfide anions: &quot;tuning&quot; the effect. - Henry Rzepa&#039;s Blog<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?p=31892\" \/>\n<meta property=\"og:locale\" content=\"en_GB\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Identifying the origins of the ring-size specificity of transition metals for polysulfide anions: &quot;tuning&quot; the effect. - Henry Rzepa&#039;s Blog\" \/>\n<meta property=\"og:description\" content=\"A recently published article addresses the long standing problem of why transition metals complexes such as e.g. Cp2TiCl2 in the presence of solutions of polysulfide dianions containing sulfur chains of various lengths, can react to form sulfur ring complexes of a specific size, depending on the metal. Thus when the early transition metal is Ti [&hellip;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?p=31892\" \/>\n<meta property=\"og:site_name\" content=\"Henry Rzepa&#039;s Blog\" \/>\n<meta property=\"article:published_time\" content=\"2026-09-10T09:57:07+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2026-09-10T10:01:39+00:00\" \/>\n<meta name=\"author\" content=\"Henry Rzepa, Derek Woollins\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"Henry Rzepa\" \/>\n\t<meta name=\"twitter:label2\" content=\"Estimated reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"5 minutes\" \/>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Identifying the origins of the ring-size specificity of transition metals for polysulfide anions: \"tuning\" the effect. - Henry Rzepa&#039;s Blog","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?p=31892","og_locale":"en_GB","og_type":"article","og_title":"Identifying the origins of the ring-size specificity of transition metals for polysulfide anions: \"tuning\" the effect. - Henry Rzepa&#039;s Blog","og_description":"A recently published article addresses the long standing problem of why transition metals complexes such as e.g. Cp2TiCl2 in the presence of solutions of polysulfide dianions containing sulfur chains of various lengths, can react to form sulfur ring complexes of a specific size, depending on the metal. Thus when the early transition metal is Ti [&hellip;]","og_url":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?p=31892","og_site_name":"Henry Rzepa&#039;s Blog","article_published_time":"2026-09-10T09:57:07+00:00","article_modified_time":"2026-09-10T10:01:39+00:00","author":"Henry Rzepa, Derek Woollins","twitter_card":"summary_large_image","twitter_misc":{"Written by":"Henry Rzepa","Estimated reading time":"5 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?p=31892#article","isPartOf":{"@id":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?p=31892"},"author":{"name":"Henry Rzepa","@id":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/#\/schema\/person\/2b40f7b9c872a4dc1547e040a11b6281"},"headline":"Identifying the origins of the ring-size specificity of transition metals for polysulfide anions: &#8220;tuning&#8221; the effect.","datePublished":"2026-09-10T09:57:07+00:00","dateModified":"2026-09-10T10:01:39+00:00","mainEntityOfPage":{"@id":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?p=31892"},"wordCount":909,"commentCount":0,"image":{"@id":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?p=31892#primaryimage"},"thumbnailUrl":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2026\/09\/Cp2TiS5.svg","articleSection":["Interesting chemistry","reaction mechanism"],"inLanguage":"en-GB","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?p=31892#respond"]}]},{"@type":"WebPage","@id":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?p=31892","url":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?p=31892","name":"Identifying the origins of the ring-size specificity of transition metals for polysulfide anions: \"tuning\" the effect. - Henry Rzepa&#039;s Blog","isPartOf":{"@id":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/#website"},"primaryImageOfPage":{"@id":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?p=31892#primaryimage"},"image":{"@id":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?p=31892#primaryimage"},"thumbnailUrl":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2026\/09\/Cp2TiS5.svg","datePublished":"2026-09-10T09:57:07+00:00","dateModified":"2026-09-10T10:01:39+00:00","author":{"@id":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/#\/schema\/person\/2b40f7b9c872a4dc1547e040a11b6281"},"breadcrumb":{"@id":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?p=31892#breadcrumb"},"inLanguage":"en-GB","potentialAction":[{"@type":"ReadAction","target":["https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?p=31892"]}]},{"@type":"ImageObject","inLanguage":"en-GB","@id":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?p=31892#primaryimage","url":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2026\/09\/Cp2TiS5.svg","contentUrl":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2026\/09\/Cp2TiS5.svg"},{"@type":"BreadcrumbList","@id":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?p=31892#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog"},{"@type":"ListItem","position":2,"name":"Identifying the origins of the ring-size specificity of transition metals for polysulfide anions: &#8220;tuning&#8221; the effect."}]},{"@type":"WebSite","@id":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/#website","url":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/","name":"Henry Rzepa&#039;s Blog","description":"Chemistry with a twist","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"en-GB"},{"@type":"Person","@id":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/#\/schema\/person\/2b40f7b9c872a4dc1547e040a11b6281","name":"Henry Rzepa","image":{"@type":"ImageObject","inLanguage":"en-GB","@id":"https:\/\/secure.gravatar.com\/avatar\/897b6740f7f599bca7942cdf7d7914af5988937ae0e3869ab09aebb87f26a731?s=96&d=blank&r=g370be3a7397865e4fd161aefeb0a5a85","url":"https:\/\/secure.gravatar.com\/avatar\/897b6740f7f599bca7942cdf7d7914af5988937ae0e3869ab09aebb87f26a731?s=96&d=blank&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/897b6740f7f599bca7942cdf7d7914af5988937ae0e3869ab09aebb87f26a731?s=96&d=blank&r=g","caption":"Henry Rzepa"},"description":"Emeritus Professor of Computational Chemistry at Imperial College London.","sameAs":["https:\/\/orcid.org\/0000-0002-8635-8390"],"url":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?author=1"}]}},"jetpack_publicize_connections":[],"jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/pDef7-8io","jetpack-related-posts":[{"id":28615,"url":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?p=28615","url_meta":{"origin":31892,"position":0},"title":"5-Imino-5\u03bb4-heptathiepane 3-oxide. More exuberent anomeric effects.","author":"Henry Rzepa","date":"May 20, 2025","format":false,"excerpt":"The two previous \u00a0posts, on the topic of anomeric effects in 7-membered sulfur rings illustrated how orbital interactions between the lone pairs in the molecules and S-S bonds produced widely varying S-S bond lengths in the molecules, some are shorter than normal (which is ~2.05\u00c5 for e.g. the S8 ring)\u2026","rel":"","context":"In &quot;Interesting chemistry&quot;","block_context":{"text":"Interesting chemistry","link":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?cat=4"},"img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":28407,"url":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?p=28407","url_meta":{"origin":31892,"position":1},"title":"Cyclo-Heptasulfur, S7 &#8211; a classic anomeric effect discovered during a pub lunch!","author":"Henry Rzepa","date":"May 16, 2025","format":false,"excerpt":"Way back in 1977, the crystal structure of the sulfur ring S7 was reported. The authors noted that \"The \u03b4 modification of S7 contains bonds of widely differing length: this has never been observed before in an unsubstituted molecule.\" No explanation was offered, although they note that similar effects have\u2026","rel":"","context":"In &quot;crystal_structure_mining&quot;","block_context":{"text":"crystal_structure_mining","link":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?cat=1745"},"img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":11279,"url":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?p=11279","url_meta":{"origin":31892,"position":2},"title":"An example of an extreme gauche effect: FSSF.","author":"Henry Rzepa","date":"September 21, 2013","format":false,"excerpt":"The best known example of the gauche effect is 1,2-difluoroethane, which exhibits a relatively small preference of ~0.5 kcal\/mol for this conformer over the anti orientation, which is also a minimum. But FSSF, which I discussed in the previous post, beats this hands down! It also, by the way, must\u2026","rel":"","context":"In &quot;Interesting chemistry&quot;","block_context":{"text":"Interesting chemistry","link":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?cat=4"},"img":{"alt_text":"FSSF-ELF","src":"https:\/\/i0.wp.com\/www.ch.imperial.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2013\/09\/FSSF-ELF.jpg?resize=350%2C200","width":350,"height":200},"classes":[]},{"id":31337,"url":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?p=31337","url_meta":{"origin":31892,"position":3},"title":"Anomeric isomerism in cyclo-heptasulfur.","author":"Henry Rzepa","date":"May 6, 2026","format":false,"excerpt":"A little while back, I wrote about anomeric-like effects in the sulfur ring S7. I had started that exploration by retrieving the crystal structure from the ICSD (Inorganic crystal structure database) and then optimising these coordinates using a DFT method (MN15L\/Def2-TZVPP to be precise). In demonstrating this effect to a\u2026","rel":"","context":"In &quot;Interesting chemistry&quot;","block_context":{"text":"Interesting chemistry","link":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?cat=4"},"img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":16758,"url":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?p=16758","url_meta":{"origin":31892,"position":4},"title":"What&#8217;s in a name? Carbenes:  a reality check.","author":"Henry Rzepa","date":"September 11, 2016","format":false,"excerpt":"To quote from Wikipedia: in chemistry, a carbene is a molecule containing a neutral carbon atom with a valence of two and two unshared valence electrons. The most ubiquitous type of carbene of recent times is the one shown below as 1, often referred to as a resonance stabilised or\u2026","rel":"","context":"In &quot;crystal_structure_mining&quot;","block_context":{"text":"crystal_structure_mining","link":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?cat=1745"},"img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":1347,"url":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?p=1347","url_meta":{"origin":31892,"position":5},"title":"M\u00e9nage \u00e0 deux: Non-classical SC bonds.","author":"Henry Rzepa","date":"December 30, 2009","format":false,"excerpt":"A previous post posed the question; during the transformation of one molecule to another, what is the maximum number of electron pairs that can simultaneously move either to or from any one atom-pair bond as part of the reaction? A rather artificial example (atom-swapping between three nitrosonium cations) was used\u2026","rel":"","context":"In &quot;Hypervalency&quot;","block_context":{"text":"Hypervalency","link":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?cat=7"},"img":{"alt_text":"","src":"https:\/\/i0.wp.com\/www.ch.ic.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2009\/12\/SF3.jpg?resize=350%2C200","width":350,"height":200},"classes":[]}],"jetpack_likes_enabled":false,"authors":[{"term_id":2661,"user_id":1,"is_guest":0,"slug":"admin","display_name":"Henry Rzepa","avatar_url":"https:\/\/secure.gravatar.com\/avatar\/897b6740f7f599bca7942cdf7d7914af5988937ae0e3869ab09aebb87f26a731?s=96&d=blank&r=g","author_category":"1","first_name":"Henry","last_name":"Rzepa","user_url":"https:\/\/orcid.org\/0000-0002-8635-8390","job_title":"","description":"Emeritus Professor of Computational Chemistry at Imperial College London."},{"term_id":2667,"user_id":0,"is_guest":1,"slug":"derek-woollins","display_name":"Derek Woollins","avatar_url":"https:\/\/secure.gravatar.com\/avatar\/ead3668dd5c9efd34408a2240b9771601591363f79242ff35f432e23a9d61910?s=96&d=blank&r=g","author_category":"1","first_name":"","last_name":"","user_url":"","job_title":"","description":"Emeritus professor of Chemistry at the University of St Andrews, Scotland, \u00a0UK."}],"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/index.php?rest_route=\/wp\/v2\/posts\/31892","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=31892"}],"version-history":[{"count":100,"href":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/index.php?rest_route=\/wp\/v2\/posts\/31892\/revisions"}],"predecessor-version":[{"id":32005,"href":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/index.php?rest_route=\/wp\/v2\/posts\/31892\/revisions\/32005"}],"wp:attachment":[{"href":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=31892"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=31892"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=31892"},{"taxonomy":"author","embeddable":true,"href":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fppma_author&post=31892"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}