Gomberg’s Earlier “Instance of Trivalent Carbon”
Christopher Grainger, St. John Whittaker, Dencie Desrosiers, Stephanie S. Lee, Alexander G. Shtukenberg, Bart Kahr

TL;DR
This paper re-examines Gomberg's 1900 discovery of trivalent carbon, revealing earlier misunderstandings and their impact on chemical theory.
Contribution
It highlights Gomberg's initial misinterpretation and the overlooked significance of trivalent carbon compounds.
Findings
Gomberg initially thought he created a molecular complex but actually produced triphenylmethyl cation crystals.
Trigonal carbon coordination challenged existing valency rules before quantum mechanics.
The paper suggests a counterfactual history of chemistry based on Gomberg's early work.
Abstract
In this journal, Moses Gomberg’s 1900 revelation, “An Instance of Trivalent Carbon: Triphenylmethyl”, lauded on a centennial National Historic Chemical Landmark for challenging the “prevailing belief that carbon can only have four bonds”, shifts its place in our imaginations as the facts given here are accommodated. In 1898 Gomberg presumed that he had made a molecular complex of bromotriphenylmethane and two neutral I2 molecules. But he was mistaken. Instead, Gomberg produced a mixture of three persistent single crystals of the triphenylmethyl cation before he published his aforementioned, controversial paper. Trigonal carbon coordination was the crack in the valency rules that had organized chemistry prior to the invention of quantum mechanics. Gomberg did not recognize the wealth of trivalent carbon compounds he had in hand before the proposition of the radical and corresponding…
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Taxonomy
TopicsHistory and advancements in chemistry · Synthesis and Properties of Aromatic Compounds · Twentieth Century Scientific Developments
Few papers in the history of organic chemistry? were as impactful as Gomberg’s “An instance of trivalent carbon: Triphenylmethyl”. ?,? In proposing a stable free radical, Gomberg struck down valency rules that governed structural chemistry prior to an electronic theory of bonding. McBride told the story of the turmoil created by Gomberg’s proposal.? This history has been updated by Eberson, with records now available from the Royal Swedish Academy of Science Archive.?
McBride stressed that the “monumental development of structural organic chemistry based on the hypothesis of tetravalent carbon” was shown by Gomberg’s landmark achievement to be incomplete, while at the same time the proposal of free radicals aroused great skepticism.? Yet, the triphenylmethyl (TPM) radical was later cemented as the TPM cation came into focus.? The product of chlorotriphenylmethane and sulfuric acid was salt-like,? with the properties of an electrolyte. ?,? Gomberg and Cone? isolated the perchlorate salt of the TPM carbocation which could be recrystallized as spectacular octahedra. The TPM^+^·ClO_4_ ^–^ crystal structure was worked out in 1965? Hofmann and Kirmreuther’s crystallization conditions.? A definitive history of the triphenylmethyl cation was given by Nenitzescu. ?,?
In 1898, Gomberg reported “A periodide of triphenylbromomethane”? by treating the title compound with a benzene solution of iodine. Blue-green iridescent crystals resembled to Gomberg the periodide of quinine discovered by Herapath?known as herapathite ?−? ? which Land later utilized to construct the first synthetic linear polarizers,? launching the Polaroid Corporation. Gomberg gave the composition of his product as (C_6_H_5_)3_CBr·2I_2, a molecular complex. We set out to prepare Gomberg’s iridescent crystals given the possibility of another crystal, simpler than herapathite, that could have likewise been fashioned into polarizers before the invention of Land.? Ours was a historical reinvestigation requiring contemporary experiments. But what we found was more surprising to us than another periodide-based linear polarizer. We characterized a group of stable crystalline triphenylmethyl cations with planar trigonal carbon atoms that Gomberg had grown likewise prior to 1900. Bromotriphenylmethane (0.511 g, 1.58 mmol) and iodine (1.055 g, 4.16 mmol) were each dissolved in 20 mL of benzene and the solutions were combined according to Gomberg.? A “dark granular precipitate” was “thrown down” from the resultant deep purple solution. The solids were washed with benzene and vacuum-dried.
Single crystal X-ray diffraction data was obtained using a Bruker D8 SMART APEX II diffractometer equipped with a PHOTON–II-C14 detector. The X-ray beam (Mo Kα, λ = 0.71073 Å) generated from an INCOATEC microfocused source was monochromated. The crystal was cooled to 100(2) K with an Oxford Cryosystems 700+ Cooler. The crystals were mounted on 0.2 mm MiTeGen MicroMount loops with Type B immersion oil (Cargille Laboratories). The data sets were collected with omega and phi scans and processed with the INTEGRATE program of the APEX4 software for reduction and cell refinement.? Multiscan absorption corrections were applied by the SCALE program for the area detector. Three structures were solved by intrinsic phasing methods (SHELXT) and the structure models were completed and refined using the full-matrix least-squares methods on F ^2^ (SHELXL).? Non-hydrogen atoms were refined with anisotropic displacement parameters, and hydrogen atoms were placed in idealized positions (C–H = 0.95–1.00 Å) and included with U iso(H) = 1.2.
Dark needles with structure 1 (C_19_H_15_Br_2_I_3_, FigureA) were characterized in the space group Pnna (#52), lattice constants a = 17.9244(7) Å, b = 12.6300(5) Å, c = 9.4066(3) Å, V = 2129.5(1) Å^3^, R 1 = 2.12% (I > 2s _ I ), wR 2 = 4.92% (all data), CCDC number 2431723 (further details in Supporting Information (Table S1)). However, the crystals could not be described as a molecular complex of iodine and bromotriphenylmethane as Gomberg had presumed. Rather, TPM cations sit on dyad axes; their symmetry independent C–C_methyl–C angles (Table S2) are consistent with trigonal planar coordination. The dihedral angles between the plane of coordination of the central C and the phenyl rings were 45.7(2)°, 27.4(2)°, and 27.4(2)°, consistent with other TPM cations. ?,? The negative charge resides in BrIBr^–^ anions that exhibit a typical near-linear (176.89(2)°) geometry.? The BrIBr^–^ ions are loosely bridged by I_2_ molecules, a motif that has been recorded previously. ?−? ? Many other polyhalogen networks of differing composition are recorded in literature. ?,? The I–Br bond length of 2.7083(3) Å is typical, as are ion–molecule (BrIBr^–^–I_2_) distances between nearest atoms of 3.2483(4) and 3.8354(4) Å.
We were nevertheless perplexed by the composition of our crystal. Structure 1 had ratios of I:Br:TPM = 3:2:1, distinct from the composition given by Gomberg, 4:1:1. The ratio of bromine to iodine in our structure was too large, and the ratio of TPM to iodine was too small. Any student of Gomberg would be suspicious of this discrepancy.
Gomberg was a skilled analyst, as McBride emphasized.? He had analyzed the iodine in his crystals in several different ways, in most cases titrating ethanolic solutions of his crystals against sodium thiosulfate.? He then determined the bromine stoichiometry by reaction with silver nitrate. We were thus confident that there must be other crystals of differing composition lurking in Gomberg’s dark precipitate. We identified crystals with stout hexagonal prismatic morphologies (FigureB) and others as irregular plates (FigureC) grown alongside the acicular crystals of structure 1 (FigureA). Gomberg had presumed that these were the same solids.
In search of more iodine, we solved structure 2 (FigureB) of the hexagonal prisms: space group P3̅c1 (#165), a = 16.4645(4) Å, c = 19.1960(7) Å, V = 4506.5(3) Å^3^, R 1 = 3.65% (I > 2s _ I ), wR 2 = 8.66% (all data), CCDC number 2431721. Structure 2 is another salt of the TPM cation: a propeller that again sits on a dyad axis. The symmetry-independent C–C_methyl–C angles are consistent with the trigonal planar coordination. The dihedral angles between the phenyl rings and the central coordinating plane (Table S2) are comparable to Gomberg’s structure 1. The formula for this complex, C_17.72_H_14.72_Br_0.14_I_5.45_, was indeed rich in iodine but is nonstoichiometric due to several kinds of disorder.
Structure 2 has two unique semi-infinite halogen chains. One lies along (0, 0, z) featuring disordered linear arrays of triiodide anions, essential for charge balance. The second halogen chain positioned at (1/3, 2/3, z) consists of alternating X^–^ and I_2_; the X^–^ site was refined as Br:I = 0.29(1):0.71(1). The I_2_ molecules display a misalignment around the 3-fold axis at one end.
Two unique connected branches of disordered iodine molecules run tangentially to the chain at the anion site. One site interchanges neutral benzene with iodine in a ratio of C_6_H_6_:I_2_ = 0.771(2):0.229(2). The second features a positional disorder of two I_2_ molecules in a ratio of 0.64(2):0.36(2). Coppens? proposed a limit of 3.30 Å for iodine covalent interactions. More recently, “secondary bonding” for I–I distances in the range 3.4–3.7 Å has been investigated quantum chemically,? though this idea was first introduced in a broader context. ?,? The longer regime describes interactions at commonly seen interatomic distances that may be partly covalent. Many such polyiodide systems exhibit these characteristic secondary bonding interactions,? leading to anions as large as I_29_ ^3–^.? Evidence for covalency in polyiodides up to 3.5 Å has been articulated.? Structure 2 exhibits a wide range of bond distances between the parallel linear chains and both disordered I_2_ molecules. Many of these distances correlate with typical secondary bonds; in total, they form a 3D halogen network (Figure S3).
A second hexagonal prism of structure 2, prepared in the same manner as the first, gave slightly different lattice constants: a = 16.4316(5) Å, c = 19.1660(9) Å, V = 4481.5(3) Å^3^, R 1 = 4.33% (I > 2s _ I ), wR 2 = 11.38% (all data), CCDC number 2431722, and a slightly different formula (C_17.58_H_14.58_Br_0.23_I_5.41). This second crystal of structure 2 had more bromine, I:Br ∼ 24:1, as opposed to 39:1 in the original crystal. Thus, structure 2 varies in composition between individual crystals but still contains a greater percentage of iodine than Gomberg measured.
Next, we characterized the misshapen plates, structure 3 (FigureC), which turned out to be another bromoiodide of a TPM cation. Solving the crystal structure of this compound was a challenge due to unresolved twinning. The best model corresponds to a space group C2/c (#15) with lattice constants: a = 25.553(2) Å, b = 25.635(2) Å, c = 29.682(2) Å, V = 19347(2) Å^3^, R 1 = 8.73% (I > 2s _ I ), wR 2 = 22.39% (all data). The residual electron density map shows eight strong (8–12 electron) peaks that can be viewed as four I_2 molecules superimposed on one aryl ring of four symmetry independent TPM molecules in the asymmetric unit (Figure S4, Table S4). These maxima cannot be accommodated within the current structural model. The formula (C_38_H_30_Br_3_I_9_) presents an integer I:Br:TPM ratio of 9:3:2. Four unique TPM geometries are present in this structure, although they are comparable and typical for trigonal cations. BrIBr^–^ anions balance some of the cation charge, with expected near-linear geometries (176.62(4)° and 176.82(4)°). Br^–^ anions coordinated with six I_2_ molecules (anion–molecule distances 3.138(3) < d < 3.359(3) Å) counter the remaining cationic charge. The excess I_2_ serves to increase the relative proportion of iodine compared to structure 1. Raman spectra at low frequency reflecting the halogen–halogen bonding are given in Figures S5–S7.
Accounting for nonequimolar ratios of the three triphenylmethyl cation crystals that Gomberg prepared, his formula (C_6_H_5_)3_CBr·2I_2 would have been sensible. Gomberg had measured a TPM:I ratio of 4.07 by thiosulfate titration.? We repeated his analysis. Approximately 100 mg of dried crystals were weighed and dissolved in acetone before the addition of 50 mL of deionized water, potassium iodide (0.5 g, 3 mmol), and 2–3 drops of aqueous starch. These were titrated against a 0.04 M aqueous sodium thiosulfate solution. Our titration of the crude precipitate gave an equivalent ratio of 3.99. Supporting powder X-ray diffraction data was collected for the mixtures of crystals and analyzed by Pawley and Rietveld refinements (Figures S8-9).
The mystery revealed itself; Gomberg had in fact unknowingly been in possession of three crystalline triphenylmethyl compounds, years before his “instance of trivalent carbon”. One could ask whether Gomberg’s struggles to convince his colleagues of the veracity of hypovalent carbon would have been easier had he reasoned from isolable carbocations rather than from the fleeting intermediate in an equilibrium with its dimer, itself a controversial structure.? Of course, we can ask but not answer. A revisionist history of science can be imagined with new evidence in hand, but counterfactual histories are not real; they can only alert us to alternatives that may pass before our eyes, unnoticed.
Supplementary Material
The reference list from the paper itself. Each links out to its DOI / PubMed record.
- 1American Chemical Society , “Moses Gomberg and the Discovery of Free Radicals,” National Historic Chemical Landmark, Dedicated June 25, 2000, at the University of Michigan in Ann Arbor, Michigan.
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