Published April 3, 2017
Introduction
This article is based on one I wrote in the 1990s and submitted to the Journal of the American Chemical Society. It was rejected; more on that later. I no longer have the original paper but there are certain facts about this research that are very fresh in my mind, despite the lapse of about twenty years. This story might be interesting to only a few people yet there are some fascinating results of more general interest that I am afraid will get lost if I do not set them down here.
I attended the University of California at Irvine in the late 1970s to early 1980s, earning my Ph.D. in Chemistry in 1984. I learned X-ray crystallography from my research advisor, Professor Robert J. Doedens, who had learned it from Larry Dahl, who learned it from Rundle, who learned it from Pauling, who learned it from Dickinson, who learned it from Burdick, who learned it from William Bragg. I wanted to learn it because it was mysterious to me: how one could start with a crystal of a compound and end up, through some arcane process, with a picture of the atoms inside the crystal. It is a beautiful discipline at the intersection of physics, mathematics, chemistry, and biology.
The diffractometer at Irvine was in the basement of the Physical Sciences building and had no low-temperature capabilities. All data collection was performed at room temperature. This is an important fact in the story.
Nitroxyl Radicals and Metal Complexes
Stable organic nitroxyl radicals (or nitroxides) can be considered organic derivatives of nitric oxide. One of the simplest stable nitroxyl radicals, di-tert-butyl-N-oxyl, has two tert-butyl groups attached to the nitrogen atom. The bond order of nitric oxide (2.5, a triple bond plus one anti-bonding electron) is lowered to 1.5 in nitroxyl radicals, with the other two bonding electrons now participating in the nitrogen-carbon bonds.
Russell Drago, in the exploration of his acid-base parameters, found that one stable radical, 2,2,6,6-tetramethylpiperidine-1-oxyl, or TEMPO, formed a 1:1 complex with the copper-based Lewis acid bis(1,1,1,5,5,5-hexafluoroacetylacetonato)copper(II) (henceforth Cu-bis-hfac). The structure of this complex was unknown at the time but Drago, in an edition of his classic textbook Physical Methods in Inorganic Chemistry, in a problem set at the end of a chapter, proposed a structure in which a lone pair of electrons on the nitroxyl oxygen is coordinated to the copper atom through a sigma bond.
Drago found that the copper-nitroxyl complex also exhibited strong magnetic coupling which is why Bob Doedens was interested in it. Doedens had published a well-received paper on the magnetic properties of copper acetate dimers and wanted me to determine the structure of Drago’s free-radical complex. Which is why, as his graduate student, I grew crystals of the complex and performed a series of structure analyses on them. Normally one structure would have been enough; but at room temperature the CF3 groups exhibited a lot of rotational disorder, leading to an R-factor of about 10%, at the limit of acceptability. The structural result was reproducible, however, and also surprising(1).
The angles around the Cu atom of the Cu-bis-hfac:TEMPO complex, in the crystalline state, were halfway between square pyramidal and trigonal bipyramidal. The pattern of four short and one long bond led us to describe it as distorted square pyramidal. The first surprise was that the long bond was between the Cu and an hfac oxygen atom, rather than to the TEMPO oxygen as one might guess at first.
The next surprise was that the coordination geometry of the TEMPO molecule was not as Drago expected, through a lone pair, but apparently through a TEMPO antibonding orbital. In retrospect this makes perfect sense because the antibonding orbital, a SOMO (semi-occupied molecular orbital) is also the HOMO (highest occupied molecular orbital), and the HOMO is the expected choice for metal coordination. However, since the complex is diamagnetic, meaning the spins are paired, one might also expect the unpaired electron on the copper atom to spend some time in that antibonding orbital, which should lead to a lengthening of the N-O bond. No such lengthening is observed. Rather than conclude that the coordination might be through a one-electron bond with only through-space coupling accounting for the diamagnetism, our paper reporting the structure simply avoids any detailed discussion of the bonding. There is, of course, the possibility that the Cu electron occupies the antibonding orbital but the Lewis acid nature of the Cu complex attracts the nitroxyl antibonding electron just enough to cancel out any structural effect. This seemed unlikely, but without any certain knowledge of the complex’s molecular orbitals, it appeared safer to simply say nothing.
Subsequently Leigh Porter joined the group and was working on copper acetate dimer derivatives, when I suggested he try using TEMPO to coordinate to some of them. The result(2) was an unusual copper dimer type where the TEMPO-Cu interaction superseded the normal Cu-Cu interaction.
Meanwhile Leigh and I started looking at other first-row transition-metal-hfac complexes, and produced structures and magnetic results for the corresponding Mn TEMPO adduct, and the Mn, Co, and Ni PROXYL adducts(3,4) where PROXYL is the five-membered ring analog of TEMPO. All these structures are trans-octahedrally coordinated with the metal atom on an inversion center in space group P21/c.
The magnetic results for the Mn(II) complexes showed linear Curie law behavior at low temperatures with increasing paramagnetism above a certain temperature. This was treated using the usual magnetic modeling techniques with a least-squares fit to find coupling parameters.
One of the structural features of the TEMPO complex was a fairly large N–O–M angle and a relatively large thermal ellipsoid for the oxygen. Modeling the oxygen as disordered, however, did not produce stable refinements using the room-temperature data we had, and we concluded that the oxygen was not significantly disordered.
I remember talking about this a couple of years later during a presentation to another crystallography group and the head crystallographer there made a disapproving noise at that point but did not say anything in particular—he presumably knew that it was my research advisor’s conclusion rather than my own. In fact I had not questioned this in my own mind. A few years of study and about ten structures were not enough experience for me to form my own opinions about such matters.
This turned out to be a mistake, but one can’t really blame Professor Doedens, as there were no low-temperature capabilities at Irvine at the time.
Much Later. . .
Now we fast-forward a few years to find me at Georgetown University working for Professor Michael T. Pope and studying tungsten oxide cluster anions (polyoxometalates) using the latest CCD diffractometer with a low-temperature attachment. Using a CCD detector transformed the data collection process from one that took several days or a week or more, into an overnight process for most structures. And that was even allowing for collecting data with multiple redundancy to calculate an absorption correction. This allowed us to collect data routinely on structures that would have been simply impossible otherwise.
This allowed me to gain a lot of experience quickly. In addition, Professor Geoffrey Jameson was a valuable on-site resource until he moved back to New Zealand to explore protein crystallography.
One of the best things about the Pope group was that I was able to do some independent research. Purely out of curiosity I decided to look at the Mn(II)-TEMPO complex again but at low temperature since the starting materials were now commercially available. Using liquid nitrogen to cool the crystals resulted in slowing down and stopping the rotation of the CF3 groups, yielding much more accurate data.
Comparing the low-temperature (LN2) structure with the published room-temperature structure gave me a shock. The nitroxyl ligand appeared to have moved, and had a smaller Mn-O-N angle. I did a few more structures, and summarized the results in a preliminary talk at an ACS meeting(5). Perhaps, I thought, there was some connection between the moving ligand and the magnetic results. I contacted Bob Doedens and he arranged for me to send crystals to UCLA for data collection at liquid helium temperatures. I fully expected the liquid helium data to show that the ligand motion continued as the temperature decreased. But when I got the results, the LHe data showed the same structure as the LN2 data—even worse, the errors for the LHe data set were higher, although not high enough to throw doubt on the structure. It seemed to me at the time that publishing their data would be more of an embarrassment for UCLA without really contributing anything new. In hindsight I should have included the structure from their data anyway.
At this point I had several sets of data: room temperature, LN2, a few in-between, and LHe. The two sets at low temperature showed essentially identical structures, both quite different from the room temperature data set. So I started collecting data at more temperatures intermediate between LN2 and room temperature, as well as another at room temperature to reproduce the previous result.
The room temperature results confirmed the (by then) fifteen-year-old structural study from Irvine discussed above, while the intermediate temperature results showed a fascinating pattern. Starting at the temperature where the magnetism becomes nonlinear, the nitroxyl oxygen begins to show disorder between two positions. It wasn’t the entire ligand that was moving, contrary to my earlier hypothesis; it was just the nitroxyl oxygen that moved. The motion of the oxygen is like a dog’s tail wagging, back and forth.
I went to extreme lengths to make sure this temperature-dependent disorder was not some aberration caused by random disorder that seemed systematic due to chance. First I used different crystals at each temperature. Then, I repeated the experiment using the same crystal at different temperatures. I performed about twenty structural experiments. All the results were consistent. Nitroxyl oxygen disorder started at about the same temperature where the magnetic results changed from linear to non-linear; increased with increasing temperature until the disorder was 50%; then remained constant. As before, the room-temperature refinement was not stable with a disorder model, but this may be due at least in part to the influence of the highly disordered CF3 groups.
(About this time I published a structure in Acta Cryst. for the Co(II)TEMPO complex(6) which noted there is disorder in this structure, and that I was exploring whether there was also disorder in the Mn(II) complex, and whether it was correlated with the magnetic results.)
After a while I had a set of temperature-dependent disorder data for the nitroxyl oxygen and I wanted to see if I could somehow relate it to the magnetic data. To do that I had to make some assumptions. I assumed that as the oxygen became disordered, there were three vibrational isomers, or “vibromers”. These were: 1) both oxygens in the ground state (low-temperature configuration, AA); 2) one oxygen in the ground state and the other in the higher-energy position (AB); and 3) both oxygens in the higher-energy position (BB). I assumed that the statistical distribution of these vibromers followed ordinary statistical laws, of the A(squared), 2AB, B(squared) type where A is the low-temperature position of the oxygen atom and B is the higher-energy position, and so 10% disorder of the nitroxyl oxygen in the structure means a distribution of 81% of the AA vibromer, 18% AB, and 1% of the BB vibromer at that particular temperature.
I then assumed that all three vibromers follow the Curie law, as one might expect for manganese complexes, and calculated what the magnetic susceptibility would be for various spin values of the different vibromers as the vibromer composition varied with temperature. I should note at this point that I had the help of Dr. Andrew McDaniel, a mathematician I have known for decades, and who is proficient in using Wolfram’s Mathematica program, to do the calculations for this project.
The results were stunning, as the susceptibility curve was reproduced almost exactly by using spin values of 3/2, 3/2, and 5/2 for the AA, AB, and BB vibromers respectively. No other combination of spin values was even close. No curve fitting was used to obtain the spin values or the curve calculated from them. This was clearly an improvement over the curve-fitting method used in the original paper. I had no explanation as to why those particular spin values should be the correct ones, but they fit.
I was also able to use elementary thermodynamics to calculate the enthalpy and entropy of this first-order process. I wrote up the results and sent it off to JACS, the Journal of the American Chemical Society. Since there were numerous structures in the paper, and JACS at that time required a table of printed structure factors for each structure, I printed them out and sent the resulting thirty-pound crate by parcel post along with the manuscript.
I had high hopes for this paper, as it was the first one to model a magnetic susceptibility using only multiple-temperature X-ray structural data and a few assumptions without any curve-fitting.
Hopes Dashed
When the reviews came back, I was bewildered. One of the reviewers said the paper was remarkable but he was certain something was wrong with it, he just didn’t know what. A second one said the paper would be worthy of JACS as soon as I had an explanation of why the vibromers had those particular spin values (another twenty years have passed and density functional theory still doesn’t have an answer for that one). The third reviewer said the whole thing looked fine but it belonged in Inorganic Chemistry instead of JACS.
The editor was somewhat apologetic but had to reject the paper given the referees’ comments. At that time papers submitted to JACS were not automatically re-routed to another journal (here, it would have been Inorganic Chemistry) as they were a year or so later if a referee had suggested it. Disheartened, I went back to my regular research which, after all, was going quite well. I couldn’t stomach mailing another thirty-pound box of structure factors only to be told the results weren’t believable.
A bit later I gave a poster on this subject at an American Crystallographic Association (ACA) meeting(7). The posters were up for awards, and I got grilled by the judges who explained to me they couldn’t believe I had found such a nice example of temperature-dependent disorder that correlated with magnetism, and much like the first reviewer, suspected something was wrong but they couldn’t decide what it was. I didn’t get the award, which didn’t bother me, but the judges remained unconvinced, which did.
So What Does it Mean?
There are plenty of systems, compounds or molecules, that display higher spin states with increasing temperature. Presumably as the temperature increases, electrons are bumped into higher energy states as thermal energy overcomes pairing energy. Normally one doesn’t see a specific change in molecular or atomic positions as this occurs. However, in this case, the N–O “wagging” motion of the nitroxyl oxygen needs very little energy, and so occurs at relatively low temperatures, and the motion presumably causes a change in orbital interaction between the nitroxyl oxygen and the metal center, which correlates with a change in magnetic behavior. This is an unusual case of a specific low-energy observable atomic motion that correlates with a change in magnetic behavior. Not earth-shaking, but certainly of general interest to chemists.
It’s Just Waiting for Someone
It’s curious to note that if the original structures had been all performed at low temperature, as many are routinely now, none of this would likely have occurred.
In the meantime I have done a lot more X-ray structures, including some very nice ones due to having had some excellent co-workers, and it no longer bothers me that this work has been mostly ignored. Like most basic research there is no obvious practical use for these compounds or the observed magnetic behavior. Still, if anyone is interested, the compounds are easy to make, the crystals easy to grow, and if you have the capability of measuring structures at multiple temperatures, and can deal with the magnetic data that is already published (or can generate your own), there are still some quite interesting tidbits to be explained. For example, in the corresponding Ni(II) complex, the disordered positions of the nitroxyl oxygens are reversed with respect to the manganese complex. That is, the ‘A’ low-temperature oxygen position in the Mn(II) complex corresponds to the high-temperature ‘B’ position in the Ni(II) complex. This must be due to switching of the energy levels with respect to the two metal complexes, but it certainly would be nice to explore further.
Anyone seriously interested in any of this is encouraged to contact me.
– Michael H. Dickman
References
1. “Structure of Bis(hexafluoroacetylacetonato)(2,2,6,6-tetramethylpiperidinyl-1-oxy)-copper(II), a Copper(II)-Nitroxyl Radical Complex with Substantial Magnetic Coupling” Dickman, M. H.; Doedens, R. J. Inorganic Chemistry 1981, 20, 2677-2681.
2. “A Novel Variation on a Classical Dimeric Structure Type. Preparation and Structure of the Metal-Nitroxyl Complex [Cu(O2CCCl3)2(Tempo)]2” Porter, L. C.; Dickman, M. H.; Doedens, R. J. Inorganic Chemistry 1983, 22, 1962-1964.
3. “Bis(nitroxyl) Adducts of Bis(hexafluoroacetylacetonato)manganese(II). Preparation, Structures and Magnetic Properties” Dickman, M. H.; Porter, L. C.; Doedens, R. J., Inorganic Chemistry 1986, 25, 2595-2599.
4. “Bis(nitroxyl) Adducts of Cobalt and Nickel Hexafluoroacetylacetonates. Preparation, Structures, and Magnetic Properties of M(F6acac)2(proxyl)2 (M = Co2+, Ni2+)” Porter, L. C.; Dickman, M. H.; Doedens, R. J., Inorganic Chemistry 1988, 27, 1548-1552.
5. “Variable Temperature X-ray Crystal Structure Analysis of a Nitroxyl Radical Adduct of Manganese(II): Motion of a Ligand and Correlation with Magnetic Behavior” Dickman, M. H., Inorganic Division Abstract #676, 211th ACS Meeting, New Orleans 1996.
6. “Bis(2,2,6,6-tetramethylpiperidinyl-1-oxy-O)-bis(1,1,1,5,5,5-hexafluoro-2,4-pentanedionato-O,O’)cobalt(II)” Dickman, M. H., Acta Crystallographica 1997, C53, 1192-1195.
7. “Thermodynamics and Magnetism of Nitroxyl Complexes from Variable–Temperature X–ray Crystallography” Dickman, M. H., American Crystallographic Association Abstract #P248, 1998 ACA Meeting, Arlington, VA.