Homochirality is a uniformity of chirality, or handedness. Objects are chiral when they cannot be superposed on their mirror images. For example, the left and right hands of a human are approximately mirror images of each other but are not their own mirror images, so they are chiral. In chemistry, chirality is a geometric property of some compounds and ions. These compounds exist in two different chiral conformations, enantiomers, often described as the left-handed and right-handed isomers of a compound (denoted by L- (levorotatory to the left) and D- (dextrorotatory to the right), respectively, from how chiral molecules rotate plane-polarized light). The term homochiral is used to describe enantiopure samples of substances in which all the constituents are the same enantiomer.

Enantiomers have the same chemical properties in an achiral environment, so abiotic chemical processes typically produce racemic mixtures of chiral compounds, i.e., mixtures containing equal amounts of L- and D-isomers. However, many biologically-synthesized compounds are homochiral. For example, 19 of the 20 genetically-coded proteinogenic amino acids are left-handed, with exception of the achiral glycine, and biological sugars are right-handed.

Many theories have been proposed for the "function" of homochirality in nature: it may be a form of information storage and may reduce entropy barriers in the formation of large organized molecules. It has been experimentally verified that amino acids form large aggregates in larger abundance from enantiopure samples than from racemic ones. Enantiomeric impurities also impede RNA replication and chain elongation, processes central to both modern cellular processes like transcription and the RNA world hypothesis.

As homochirality is ubiquitous in extant biology, a key question in origins of life and prebiotic chemistry research is how biological homochirality could have arisen from racemic mixtures of the simple chemical building blocks of life. Many mechanisms for the origin of homochirality have been proposed. Some of these models propose three distinct steps: a mirror-symmetry breaking mechanism to create a minute enantiomeric imbalance (enantiomeric excess or ee) from a racemic mixture, subsequent chiral amplification to achieve a larger ee or full homochirality (i.e., ee=100%), and finally chiral transmission/propagation to transfer chirality from one set of molecules to another. In addition, another important consideration is the environmental plausibility of proposed mechanisms — whether a symmetry breaking, amplification, or propagation process could occur over relevant timescales and using only materials that could feasibly be available prebiotically under early Earth conditions.

History of the term Homochirality was introduced by Lord Kelvin in 1904, the year that he published his Baltimore Lecture of 1884. Kelvin used homochirality as a relationship between two molecules, i.e. two molecules are homochiral if they have the same chirality. Homochiral has been used in the same sense as enantiomerically pure. This is permitted in some journals (but not encouraged),However, the message can be confusing. In , the entry for Enantiomerically Pure/Enantiopure says "Use of homochiral as a synonym is strongly discouraged"; but the entry for Homochiral says "See enantiomerically pure/enantiopure." its meaning in these journals being the preference of a process or system for a single optical isomer of a pair.

In biology

Homochirality is a common characteristic of biological compounds, including the building blocks of macromolecules like nucleic acids and proteins. Amino acids, the building blocks of peptides and enzymes, appear almost exclusively in their left-handed form and all D-amino acids found in protein sequences are a result of post-translational modifications of the original L-amino acid. Ribose and deoxyribose, the sugar components of RNA and DNA nucleotide monomers, meanwhile, are all right-handed. Other cellular metabolites are also homochiral; for example, malate and isocitrate, two intermediates in the citric acid cycle, are homochiral in their L- and D- forms, respectively. In modern biology, enzymatic activity is what imposes homochirality on these metabolites and others, including hormones, toxins, fragrances and food flavors.

Biological organisms easily discriminate between molecules with different chiralities. This can affect physiological reactions such as smell and taste. Carvone, a terpenoid found in essential oils, smells like mint in its L-form and caraway in its R-form. Limonene tastes like citrus when right-handed and pine when left-handed.

Homochirality also affects the response to drugs. Thalidomide, in its left-handed form, cures morning sickness; in its right-handed form, it causes birth defects. Unfortunately, even if a pure left-handed version is administered, some of it can convert to the right-handed form in the patient. Many drugs are available as both a racemic mixture and an enantiopure drug . Depending on the manufacturing process, enantiopure forms can be more expensive to produce than stereochemical mixtures.

Chiral preferences can also be found at a macroscopic level. Snail shells can be right-turning or left-turning helices, but one form or the other is strongly preferred in a given species. In the edible snail Helix pomatia, only one out of 20,000 is left-helical. The coiling of plants can have a preferred chirality and even the chewing motion of cows has a 10% excess in one direction.

Origins of biomolecular homochirality

Symmetry breaking Theories for the origin of homochirality in the molecules of life can be classified as deterministic or based on chance depending on their proposed mechanism. If there is a relationship between cause and effectthat is, a specific chiral field or influence causing the mirror symmetry breakingthe theory is classified as deterministic; otherwise it is classified as a theory based on chance (in the sense of randomness) mechanisms.Guijarro, A. and Yus, M. The Origin of Chirality in the Molecules of Life (RSC Publishing, Cambridge, 2009), 1st ed.

Deterministic theories Deterministic theories can be divided into two subgroups: if the initial chiral influence took place in a specific space or time location (averaging zero over large enough areas of observation or periods of time), the theory is classified as local deterministic; if the chiral influence is permanent at the time the chiral selection occurred, then it is classified as universal deterministic. The classification groups for local determinist theories and theories based on chance mechanisms can overlap. Even if an external chiral influence produced the initial chiral imbalance in a deterministic way, the outcome sign could be random since the external chiral influence has its enantiomeric counterpart elsewhere.

In deterministic theories, the enantiomeric imbalance is created due to an external chiral field or influence, and the ultimate sign imprinted in biomolecules will be due to it. Deterministic mechanisms for the production of non-racemic mixtures from racemic starting materials include: asymmetric physical laws, such as the electroweak interaction (via cosmic rays) or asymmetric environments, such as those caused by circularly polarized light (CPL), quartz crystals, or the Earth's rotation, β-Radiolysis or the magnetochiral effect. Shortwave circularly polarized light, for example, can induce enantiomeric bias because chiral molecules will preferentially absorb either the right-handed or left-handed CPL.

Parity Violation Parity, a physical property of symmetry, is conserved for strong, electromagnetic, and gravitational interactions. However, experimental work involving weak forces, such as the interactions between subatomic particles, found that parity is not conserved in these interactions (see Parity Violation). This theoretically would result in slight energy differences between mirror-image enantiomers of a single compound, which could cause a small stereochemical bias for the lower-energy enantiomer. However, a definitive relationship between molecular chirality and parity-violating energy differences have not yet been experimentally demonstrated.

Extraterrestrial origin of homochirality Some analyses of organic molecules in extraterrestrial materials, such as carbonaceous chondrite meteorites and asteroids, identified small enantiomeric enrichments in a few L-amino acids and D-sugars, leading to the proposition that initial enantiomeric bias could have been seeded on Earth from space. That the enantiomeric biases measured in meteorites and astroids were consistent with that found in biology added credence to this idea, and experimental work showed plausible mechanisms for creating this enantiomeric bias in extraterrestrial materials.

It was hypothesized that circularly polarized light originating from Mie scattering on aligned interstellar dust particles may trigger the formation of an enantiomeric excess within chiral material in space. Interstellar and near-stellar magnetic fields can align dust particles in this fashion. Another speculation (the Vester-Ulbricht hypothesis) suggests that fundamental chirality of physical processes such as that of the beta decay (see Parity violation) leads to slightly different half-lives of biologically relevant molecules.

The amino acids in asteroids Bennu and Ryugu show no chiral bias. The Murchinson meteorite contained only racemic amino acids.

Chance theories Chance theories are based on the assumption that "Absolute asymmetric synthesis, i.e., the formation of enantiomerically enriched products from achiral precursors without the intervention of chiral chemical reagents or catalysts, is in practice unavoidable on statistical grounds alone".

Amplification Most mechanisms of symmetry breaking focus on amplification of an initial stochastic enantiomeric excess. The most likely path for this amplification step is by asymmetric autocatalysis. An autocatalytic chemical reaction is that in which the reaction product is itself a reactive, in other words, a chemical reaction is autocatalytic if the reaction product is itself the catalyst of the reaction. In asymmetric autocatalysis, the catalyst is a chiral molecule, which means that a chiral molecule is catalyzing its own production. An initial enantiomeric excess, such as can be produced by polarized light, then allows the more abundant enantiomer to outcompete the other.

Theory

In 1953, Charles Frank proposed a model to demonstrate that homochirality is a consequence of autocatalysis.Note that on his original paper, Frank did not propose any set of chemical reactions but a set of dynamical equations, where the concentrations of both enantiomers were denoted as [n1] and [n2] respectively. In his model the L and D enantiomers of a chiral molecule are autocatalytically produced from an achiral molecule A

while suppressing each other through a reaction that he called mutual antagonism

In this model the racemic state is unstable in the sense that the slightest enantiomeric excess will be amplified to a completely homochiral state. This can be shown by computing the reaction rates from the law of mass action:

where is the rate constant for the autocatalytic reactions, is the rate constant for mutual antagonism reaction, and the concentration of A is kept constant for simplicity.

The analytical solutions for are found to be . The ratio increases at a more than exponential rate if is positive (and vice versa). Every starting conditions different to

lead to one of the asymptotes or . Thus the equality of and and so of and represents a condition of unstable equilibrium, this result depending on the presence of the term representing mutual antagonism.

By defining the enantiomeric excess as