Oxidative stress

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Chemists and biologists typically define oxidative stress as an imbalance, particularly in biological cells, between the rate of formation and/or concentration of 'oxygen free radicals' (or 'reactive oxygen species') — potent 'oxidizing' (electron capturing) atoms or molecules — and their elimination or 'neutralization' by 'antioxidants' — 'reducing' (electron donating) molecules — the imbalance characterized by an excess of the former or a deficiency of the latter, leading to an alteration of a cell's 'redox' state towards the 'oxidized' state. The concept of oxidative stress occupies central importance in biology, as it applies, depending on circumstances, either to physiological phenomena essential for optimal functioning of organisms or to pathophysiological phenomenona, such as cardiovascular diseases, cancer and other clinical disease states, as well as to considerations of the mechanisms underlying aging.

In the definition of oxidative stress given above, the terms embraced by single quotes will require further discussion before any practical understanding of the concept can emerge. Accordingly, we will try to explicate those sub-concepts in turn, and relate them in a synthesis of the concept of oxidative stress.

Free radicals

In this section we elaborate on the following assertions about free radicals:

  • A free radical is any chemical species capable of independent existence — hence the term ‘free’ — that contains one or more unpaired electrons.
  • An unpaired electron is one that occupies a two-electron-capacity atomic or molecular orbital without an accompanying electron.
  • A superscript dot is usually used to denote the unpaired electron.
  • Radicals can form in many ways, in both industrial and biological systems.
  • A full understanding of free radical chemistry requires understanding concepts from quantum chemistry:
  • Covalent bonding
  • Spin quantum numbering
  • Atomic orbitals
  • Pauli principle
  • Molecular orbital
  • Hund’s law

Chemists define a 'free radical' as an atom or molecule that has one or more unpaired electrons, whereas all its other electrons, if it has others, exist in pairs that have opposite (+½ and -½) 'intrinsic angular momentum', otherwise referred to as 'opposite spin'.[1] The qualifier 'free' denotes the independent existence of the radical species, and many biological chemists drop the term as they consider only those radicals which can exist independently, however briefly.

A little background on the structure of atoms will help explain the special properties of radicals. After the British physicist Ernest Rutherford (1871-1937) conceived of an atom as electrons in orbits around a nucleus in the center, like planets orbiting a sun, between 1913 and 1915 the Danish physicist Niels Bohr (1885-1962) developed a model of the atom that proposed that electron orbits could occupy only certain positions around the nucleus, and then in 1923 the French physicist Louis de Broglie (1892-1987), thinking about how one could view light as either particles (photons) or waves, proposed that electrons might have wave-like properties. The Austrian physicist Erwin Schrödinger (1887-1961) showed in 1926 that one could treat an electron as a wave occupying a so-called 'orbital', strictly a mathematical 'wave function' that gave the probability of the electron's location everywhere in the space around the nucleus. The modern description of the atom takes as fundamental that electrons occupy orbitals that have distinctive shapes — namely that which mathematicians refer to as spherical harmonic functions — with surfaces enclosing the region of space that likely contains the electron. Physicists and chemists designate the differently shaped orbitals with the lowercase letters s, p, d, f, and others.

In 1924, the Austrian-American physicist Wolfgang Pauli (1900-1958) proposed that only two electrons can occupy an orbital, formulating his 'exclusion principle'. In 1925, the Dutch-American physicists Uhlenbeck and Goudsmit, discovered that the two electrons must differ in a property often interpreted as spin, as if each electron rotated on a spherical axis, in one of two directions, one clockwise (↑), the other counterclockwise (↓). Soon after Pauli gave the quantum mechanical foundation of this discovery.

Given the two-electrons-only capacity of orbitals — Pauli's exclusion principle — the electrons of atoms with many electrons (e.g., carbon has 6, oxygen 8), arrange themselves in concentric shells about the nucleus with differing numbers of two-electron-capacity orbitals. The first shell, the innermost shell, has only one orbital, an orbital with the shape designated s (spherical), and the orbital itself designated a 1s orbital, in honor of its principal quantum number n = 1, giving it the 'first' shell label and the lowest energy level designation.

The following table summarizes certain main features of atomic structure in relation to orbitals:

Shell # Subshell

Number

No. of

Orbitals

Orbital

Type

Orbital

Label

1 0 1 1s s
2 0

1

1

3

2s

2p

s

px, py, p

3 0

1
2

1

3
5

3s

3p
3d

s

px, py, p
dxy, dxy, dyz, dx2-y2, dz2

4 0

1
2
3

1

3
5
7

4s

4p
4d
4f

s

px, py, p
dxy, dxy, dyz, dx2-y2, dz2
See f orbitals here


Consider the most common variety (also known as isotope) of hydrogen atom, which comprises a nucleus consisting of one proton, a positively charged particle, and one electron, a negatively charged particle, the latter occupying a surrounding electron shell, having no sub-shells, a shell that has the intrinsic capacity to hold two electrons. We can symbolize it as H, or H. For quantum mechanical reasons relating to a kind of stability, so to speak, the hydrogen atom tends to behaves as if it wanted two electrons in that shell, specifically a pair of electrons 'spinning' in opposite directions. Accordingly, the hydrogen atom tends to react with another hydrogen atom like itself, one with an oppositely spinning electron in its only electron shell, such that the two hydrogen nuclei share the two electrons in the shell, binding the two atoms together in what chemists refer to as a 'molecule' with a 'covalent bond' — in this case, a non-polar covalent bond, as no electrical asymmetry persists in the molecule because the equal positive charges on the two hydrogen nuclei means the orbiting electrons spend equal time near each nucleus. We can symbolize the hydrogen molecule as H:H, depicting the shared electrons between the two nuclei, or more simply, as H–H or H2. A hydrogen atom may satisfy its reluctance to possess an unpaired electron also by simply donating its electron to some other electron-eager atom or molecule, and continue its existence as a hydrogen ion, H+. In water, H<sub2O, the medium of biological chemistry, some H+ can dissociate from the water molecule, leaving a hydroxyl ion, OH in its wake.

Referring then to our definition of 'free radical', or just 'radical', we can recognize the hydrogen atom, H, as a radical, and we can begin to appreciate the reactive nature of a radical eager to achieve electron pairing. We will see that other radicals, like H, may through transfer or sharing, either lose an electron, or gain one, depending on circumstances.

At this point we introduce a few helpful definitions:
Definition Representative Examples Comments
     OXIDATION      -- loss of electrons --

(oxidation = 'de-electronation')

-- gain of oxygen --

K → K+ + e-

O2•- → O2 + e-

C + O2 → CO2


oxidation of a potassium atom to a potassium ion
oxidation of a superoxide radical to an oxygen molecule

oxidation of carbon to carbon dioxide;
the more electronegative oxygen has greater share of electrons

REDUCTION


-- gain of electrons --

(reduction = 're-electronation')

-- gain of electrons with a hydrogen nucleus --


-- loss of oxygen --


Cl + e- → Cl-
O2 + e- → O2•-

C +2H2 → CH4


CO2 + C → 2CO


reduction of a chloride atom to a chloride ion
reduction of an oxygen molecule to a superoxide radical

reduction of a carbon atom to a methane molecule
(the carbon atom gains electrons it shares with a hydrogen nucleus)

reduction of carbon dioxide to carbon monoxide;
concomitant oxidation of carbon to carbon monoxide

For atoms with at least two more nuclei than the hydrogen atom we need to introduce the concept of 'orbitals', for two reasons: (1) the electron shell holding the electron in the hydrogen atom has an intrinsic holding capacity of only two electrons, so the additional electrons must locate in more distant shells, numbered 2,3,4 etc. to indicate successively higher energy levels; and, (2) each higher numbered shell has a higher number of a number of so-called orbitals, that partition the electrons in a particular way. To quote Peter Atkins, "The central quantum mechanical idea on which the modern description of the structure of the atom is based is that its electrons occupy 'orbitals."

Things may become clearer if we look at the oxygen atom, which has 8 protons and 8 electrons. An electron configuration table for the oxygen atoms reads as follows:

1s2
2s2 2p4


We interpret the table entry as indicating

  1. Electron Spin and Electron Intrinsic Angular Momentum
    • 'Note: The notion of spin for this intrinsic property of the electron arises from thinking about the property from the classical mechanics perspective.