Most of the stuff in the material world that we encounter has even-electron configurations, which is accounted for by the familiar Pauli principle. Molecules with odd electrons are more rare. Just how frequently do we encounter odd electron molecules? In frozen sugar solutions, it was approximated that there is one unpaired spin for every 10E4 molecules of irradiated sugar in solution.
“In molecular orbital theory, the fact that most molecules contain electron pair bonds is explained as a consequence of the Pauli principle, according to which in the stable state of any system, any given orbital can be occupied by 2 (and only 2) electrons with opposite spins. This fact greatly favors the stability of even-electron as compared with odd-electron molecules." (R.S. Mulliken, 1978)
Why is the odd-electron configuration so rare? To begin with, theories that account for unpaired electrons are much less developed than theories that describe the types of matter that contain ordinary electron pairs. Most molecules have even numbers of electrons that fill the available molecular energy levels in pairs, and therefore a lot of theories just assume the Pauli exclusion principle. In the case of unpaired electrons, we may need to be prepared to find a new type of physical law.
Second, the existence of odd-electron configurations is often associated with a pronounced color in the system. For example, aniline is colorless when pure but turns brown when oxygen is bubbled through it, and becomes colorless again on sweeping out the oxygen. There are many colorimetric methods for estimating the concentration of unpaired electrons. The human visual system detects the presence of free radicals as color.
Another reason that unpaired electrons differ from electrons in pairs is that unpaired electrons are more delocalized in space. Whereas paired electrons stay in the neighborhood of one nucleus, unpaired electrons are contained in orbitals that may extend over several adjacent atoms. In the cell where biopolymers are intimate contact with each other, it is quite conceivable that unpaired electron migration may take place over large distances involving a number of aggregated biopolymers.
Diphenylpicrylhydrazyl (DPPH) is a stable free radical that is often employed as an EPR standard, and its EPR spectra is shown below. There is an unpaired electron in an orbital in DPPH which embraces at least 30 other nuclei possessing magnetic moments, causing the splitting pattern.
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| From ESR free radical signals |
The wave function of the unpaired electron in DPPH extends throughout a region which encompasses most of its structure, which means that no definite atomic orbital such as an s- or p-orbital may be assigned to it. The electron may be considered to be highly mobile within the structure, and capable of mediating conduction within it. The unpaired electron in DPPH whose ESR signal is shown above is a very different species from the paired electrons in DPPH, which are found in the inner shells.
"In the case of DPPH, the unpaired electron is in an anti-bonding orbital and one would expect electron conductivity with a low value of delta e (1.5 eV); the direction of the orbitals of the unpaired electron coincides with the direction of the c axis, where there is the greatest overlapping of orbitals - this also corresponds to the increased electrical conductivity in this direction." (A. Buchachenko, 1965)The existence of an unpaired electron in a system like DPPH strongly perturbs the molecular orbitals of nearby electrons, which brings us to the fourth reason why unpaired electrons are so interesting.
Unpaired electrons are associated with an abnormally high chemical reactivity, that can permit the initiation of otherwise forbidden chemical reactions. Not only are free radicals highly reactive, but certain types of chemical reactivity including oxidation, irradiation, UV photolysis, and charge-transfer reactions are directly related to the spin density of a molecule's unpaired electron or electrons. For example, the stability of charge-transfer complexes are undoubtedly connected with the unpaired electron delocalized through the pi-system.
Compare the reactivity of molecules with unpaired electrons in the outer shells with the noble gases like Argon and Xenon that are chemically inert. Electron pairs fill the outer shells of Argon, which has almost no chemical properties at all, and explains why it was named Argon, "the lazy one."
II.
Sugar is an example of a "united molecule", with electron pairs that are held strongly in place, and will remain strongly held in place until some light energy comes along. The light energy can promote an electron to the outer and anti-bonding orbitals. Normally, the anti-bonding orbitals of sugar are devoid of electrons in the ground state, and may be occupied only in excited states.
The molecular organization of organisms is actually very different from the organization of simple sugar. Unlike sugar, the anti-bonding orbitals of the ground state of biological proteins are occupied by an electron transport chain, a life-contributing force in the organism. In the molecular description of sugar, the incoming light energy is said to "disrupt" the electronic configuration of sugar; as long as sugar is kept away from light or chemical energy then sugar will have a completed set of electrons which makes it sugar. In contrast, the configuration of the animal body relies upon electronic "disruption" for its existence. In the organism, it is less easy to distinguish which electrons belong to organism, and which electrons belong to the excited state.
There are unpaired electrons in the human body
There is very good reason to believe, if we accept the Pauli exclusion principle (and we should), that most types of matter around us contain electron pairs. Yet the behavioural activities of lifeforms (beetles, whales) depend on the existence of unpaired electrons for many processes including the all-important process of respiration. It is interesting to compare the bonding of atoms in the worlds of the living and the inanimate. There seems to be an important difference between matter with electron pairs and the matter of our dear selves: organic lifeforms, that twitch, grow, and reproduce. That difference is the high concentration of unpaired electrons in biological systems. EPR experiments on mammalian tissues have shown that liver and brain tissue are the richest source of unpaired electrons in nature. Living things such as seeds and green leaves have relatively higher concentrations of free radicals compared to dead wood or stone. Reconstituted enzyme systems, like polymerase chain reactions, have a higher concentration of unpaired electrons than distilled water in a test tube. Thus the essential nature of odd-electron transfer reactions is central to the electronic and molecular organization of life. There are many oxidation-reduction reactions in biology that wouldn't be possible without single-electron transfer reactions. Szent-Gyorgyi was interested in charge-transfer reactions.
“In photosynthetic chromatophores, or chloroplasts, as well as in phosphorylating mitochondria, single electrons are transferred in a series of reactions from substance to substance. It seems possible that a similar transfer of electrons plays a wider role in the various activities of the cells or the maintenance of their living state. It is still an open question how such a transfer of electrons takes place. Our attention has been occupied, in this context, in an increasing degree by “charge transfer.” (Szent-Gyorgyi, 1961)The concentration of free radicals depends on age. Early stages of animal development take place in the midst of a very high concentration of free radical generation, propagation, and termination processes. Then the adult lifeforms (lightning bugs, human beings) live within the burnt-out shells of this initial polymerization process. In the mature form of the animal, the establishment of an equilibrium between the free radicals in a human being and its environment may be related to its alpha EEG rhythms.
The potential differences that are recorded from muscle or cortex verify the existence of unpaired electrons, or electricity, in the mammalian form. Brain oscillations are derived from these unpaired electrons, until brain death when a flat line EEG is recorded. An example of this is shown in the figure below. Crude cobra venom or rattlesnake venom in doses of 0.5 mg/kg led to a complete EEG silence within 1 minute.
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| From 94Nunez EEG |
If the EEG is related to free radical content of the brain, then the death state may be associated with a time when the free radical concentration of the nervous system reaches equilibrium with the spins in the world exterior. At that point, does the Pauli exclusion principle fully apply in its description of the molecular configuration of a dead body? If each 1/2 spin finds -1/2 spin, then in death, the electrons can fully belong to the organism as a giant "united molecule."
Free radical content and cancer
The stability of the animal body differs from the stability of simple sugar, because organisms move, shed cells and grow new ones in its place. Yet for the form of the organism to be somewhat stable, it must have more bonding than anti-bonding electrons, thus most biological tissues do have even numbers of electrons that fill the available molecular energy levels in pairs according to the Pauli exclusion principle. The balance between odd electrons and paired electrons is critical for the health of tissues. As studied by Mallard and Kent in 1964, healthy liver has a higher concentration of free radicals than cancerous liver tissue, suggesting that tissues can become cancerous by acquiring an excess of bonding electrons in the outer shells. Since many cancers are deadly, we may conclude that a certain concentration of unpaired electrons in outer shells is essential for life.
Summary
The entire richness and diversity of the material world is formed by union of only a hundred kinds of atomic particles. For the most part, assemblies of atoms must adopt a configuration with electrons in pairs. Electrons in pairs remain in the confines of the molecule and cannot drift throughout its structure, thus many solids in the external world are electrical insulators. In contrast, the animal body is a highly ordered crystalline array of proteins, starches, and lipids that are associated with unpaired electrons that range over long distances, the function of which is not completely understood.
Biological entities, with their composition of even and odd electrons, are expected to have semi-conducting properties, that is, properties of electrical conductivity between that of a conductor and an insulator. Szent-Gyorgyi was one of first people to point out the connection between the theory of semi-conductors and biological lifeforms. Lightning bugs are like diodes that conduct electricity when a small current is applied across it. It is likely that all living entities have semi-conducting properties, among them the ability to emit light. Besides the light within the creatures of this planet, hardly any light but sunlight occurs in nature: occasional fires, lightning, and starlight.
References
Hart, E. J., Anbar, M. The hydrated electron. Wiley-Interscience: New York, 1970.
Buchachenko, A. L. Stable radicals. Consultants BureauEnterprises: New York, 1965.








































