Fact-checked by Grok 2 weeks ago

Isomer

In chemistry, an isomer is one of several molecular entities that possess the same molecular formula but differ in their connectivity of atoms (constitutional isomers) or in the spatial arrangement of atoms (stereoisomers). These structural variations lead to distinct physical and chemical properties, despite the identical elemental composition. Isomers are broadly classified into two major categories: constitutional isomers and stereoisomers. Constitutional isomers, also known as structural isomers, have the same molecular formula but different bonding arrangements between atoms; for example, butane (CH₃CH₂CH₂CH₃) and isobutane ((CH₃)₂CHCH₃) are constitutional isomers of C₄H₁₀, exhibiting different boiling points due to variations in molecular shape. Stereoisomers, in contrast, share the same connectivity but differ in the three-dimensional orientation of atoms; they are subdivided into geometric isomers (such as cis-trans isomers in alkenes like (Z)-2-butene and (E)-2-butene) and optical isomers (enantiomers, which are non-superimposable mirror images, like D-glucose and L-glucose). Conformational isomers, a subset of stereoisomers, arise from rotation around single bonds and interconvert more readily, as seen in the staggered and eclipsed forms of ethane. The study of isomerism is fundamental to and , influencing molecular reactivity, , and function. In and , stereoisomers often exhibit profoundly different effects; for instance, one of a may be therapeutic while its is inactive or toxic, as exemplified by the (S)-ibuprofen versus its less active (R)-. reactions, catalyzed by enzymes called isomerases, play critical roles in metabolic pathways, underscoring the biological relevance of these structural differences. Overall, isomerism highlights the diversity possible within a fixed composition, driving advancements in synthesis, , and .

Fundamentals

Definition

In chemistry, an isomer is defined as one of several molecular entities that possess the same molecular formula but differ in their connectivity or spatial arrangement of atoms. This results in distinct physical and chemical properties despite the identical atomic composition. Isomers arise primarily from variations in the bonding patterns () between atoms or from different three-dimensional configurations, which can significantly influence reactivity, stability, and . A fundamental prerequisite for understanding isomers is the concept of a molecular formula, which specifies the exact number and types of atoms in a , such as C₄H₁₀ for the isomers. These differences in atomic arrangement lead to compounds that, while sharing the same formula, exhibit unique behaviors under the same conditions. It is important to distinguish isomers from related concepts like isotopes and allotropes. Isotopes refer to variants of the same that have identical atomic numbers but different mass numbers due to varying numbers of neutrons in the , resulting in the same but altered nuclear properties. In contrast, allotropes are different structural forms of the same , such as and for carbon, where the atomic connectivity varies but the elemental composition remains uniform. Isomers, therefore, apply to compounds rather than elements or atomic nuclei. Isomers are broadly classified into constitutional isomers, which differ in atomic , and stereoisomers, which share but vary in spatial orientation.

Classification

Isomers are broadly classified into two primary categories: constitutional isomers and stereoisomers, based on differences in atomic and spatial arrangement, respectively. Constitutional isomers, also termed structural isomers, share the same molecular but exhibit variations in the bonding sequence or of atoms, leading to distinct molecular structures. This category is hierarchically subdivided into skeletal isomers, which differ in the arrangement of the carbon or chain branching; positional isomers, which involve differences in the location of functional groups, double bonds, or substituents along the chain; and functional isomers, which possess different functional groups despite the same overall . In contrast, stereoisomers maintain identical atomic and molecular but differ in the three-dimensional orientation of atoms or groups in space. Stereoisomers are further classified into enantiomers and diastereomers. Enantiomers are pairs of stereoisomers that are nonsuperimposable mirror images of each other, arising from centers or other asymmetric features. Diastereomers encompass all other stereoisomers that are not enantiomers, including geometric isomers (such as cis-trans isomers in alkenes or rings), which result from restricted rotation around bonds. This classification hinges on the prerequisite that constitutional isomers involve altered , whereas stereoisomers presuppose identical with variations solely in spatial . Beyond these classical molecular isomers, related variants include isotopic and nuclear forms, which extend the concept but deviate from the standard definition of identical composition. Isotopomers differ in the positional arrangement of isotopic atoms while maintaining the same isotopic composition, and isotopologues vary in their overall isotopic , though these are not true isomers due to mass differences affecting the molecular formula when isotopes are distinguished. isomers, conversely, represent long-lived excited states of atomic nuclei with the same proton and neutron numbers but differing configurations, classified into types such as , , K-, and isomers based on the hindrance mechanisms for ; these are not molecular isomers but share terminological roots in .

Constitutional Isomers

Skeletal Isomers

Skeletal isomers, also known as isomers, are a subtype of constitutional isomers in which compounds share the same molecular formula and functional groups but differ in the arrangement or branching of their carbon skeleton. This variation in carbon connectivity leads to distinct molecular shapes while preserving the overall composition. Such isomerism is prevalent among alkanes, saturated hydrocarbons with the general molecular formula C_nH_{2n+2}, where n represents the number of carbon atoms. For instance, the C_4H_{10} isomers n-butane and exemplify skeletal isomerism: n-butane features a linear carbon (CH₃-CH₂-CH₂-CH₃), whereas isobutane has a branched structure ((CH₃)₃CH). These structural differences significantly affect physical properties, such as boiling points, due to variations in molecular and intermolecular forces. n-Butane boils at -0.5°C, while boils at -11.7°C; the branched adopts a more compact, spherical form, reducing surface area for van der Waals interactions and thus requiring less energy to vaporize.

Positional and Functional Isomers

Positional isomers are constitutional isomers that share the same carbon skeleton and functional groups but differ in the position of these groups or multiple bonds along the chain. For example, (\ce{CH3CH2CH2OH}) and (\ce{CH3CH(OH)CH3}) both have the molecular formula \ce{C3H8O} and a hydroxyl group, but the -OH is attached to different carbon atoms, leading to variations in points and reactivity. Another instance involves alkenes like 1-butene (\ce{CH2=CHCH2CH3}) and 2-butene (\ce{CH3CH=CHCH3}), where the double bond's location shifts, affecting stability and addition reactions. Functional isomers, in contrast, possess the same molecular formula but differ in the types of functional groups present, resulting in distinct chemical behaviors despite identical atomic compositions. A classic pair is (\ce{CH3CH2OH}) and (\ce{CH3OCH3}), both \ce{C2H6O}, where the former features an group and the latter an linkage; this leads to ethanol's ability to form bonds, yielding a higher (78.4°C) compared to dimethyl ether's (-24.8°C). Similarly, propanal (\ce{CH3CH2CHO}) and propanone (\ce{CH3COCH3}), both \ce{C3H6O}, represent and functional groups, influencing their oxidation products—propanal oxidizes to propanoic acid, while propanone resists further oxidation under mild conditions. Metamerism represents a subtype of functional isomerism, characterized by differences in the alkyl chain lengths attached to a polyvalent , such as in ethers or amines, while maintaining the same overall formula. For instance, (\ce{(CH3CH2)2O}) and methyl propyl ether (\ce{CH3OCH2CH2CH3}), both \ce{C4H10O}, exhibit this variation around the oxygen, resulting in subtle differences in and . Metamerism is particularly relevant in compounds with divalent heteroatoms, highlighting how chain distribution impacts physical properties without altering the core . These isomer types often display marked differences in physicochemical properties and reactivity due to their structural variations. In functional isomers like alcohols and ethers, alcohols engage in hydrogen bonding, enhancing in and elevating points relative to ethers of comparable . Reactivity diverges significantly: alcohols undergo oxidation to aldehydes, ketones, or carboxylic acids depending on the conditions, whereas ethers are largely inert to such transformations and resist nucleophilic attack under neutral conditions. Positional isomers, while sharing reactivity patterns, may show nuanced differences, such as 1-propanol's facilitating esterification more readily than the secondary 2-propanol. Overall, these distinctions underscore the importance of precise in predicting compound behavior.

Tautomers

Tautomers represent a specialized subset of constitutional isomers that interconvert rapidly through tautomerization, a involving the relocation of a (or proton) and a concomitant rearrangement of bonds, typically a shifting to maintain . This distinguishes tautomers from static isomers, as the structures exist in reversible balance rather than as isolated compounds. The term "tautomer" derives from roots meaning "same" and "part," reflecting their identical molecular formula but differing atomic arrangements. A classic example of tautomerism is keto-enol tautomerism, observed in compounds like acetone. In its form, acetone exists as CH_3C(O)CH_3, featuring a , while the form is CH_2=C(OH)CH_3, with a hydroxyl group attached to a carbon-carbon . The equilibrium strongly favors the tautomer, with an (K_{eq}) of approximately $5 \times 10^{-9} in at , indicating that less than 0.001% of acetone molecules adopt the form under standard conditions. The mechanism of tautomerization generally proceeds via proton transfer, often facilitated by or to overcome the barrier in neutral conditions. In acid-catalyzed keto-enol interconversion, the carbonyl oxygen is first protonated to form a resonance-stabilized intermediate, followed by from the alpha carbon to yield the ; the reverse path regenerates the form. Base-catalyzed mechanisms involve at the alpha carbon to generate an ion, which is then protonated on the oxygen. These pathways highlight the role of labile protons in enabling the bond shifts. Tautomerism significantly influences molecular reactivity, as the distinct functional groups in each form lead to varied chemical behaviors. For instance, the tautomer of acetone exhibits enhanced nucleophilicity at the alpha carbon due to the electron-rich structure, facilitating reactions like electrophilic additions that are less favorable for the form. This duality allows to participate in diverse synthetic pathways, such as aldol condensations, where the or acts as a . In biological contexts, tautomerism plays a critical role in nucleic acids, particularly through rare tautomeric forms of DNA bases that can lead to . For example, the standard keto or amino forms of bases like or ensure faithful Watson-Crick base pairing during replication, but transient shifts to or imino tautomers enable mismatched pairings (e.g., with instead of ), with rare tautomeric forms occurring at low fractions (estimated ~10^{-4} to 10^{-6}). Such events underscore tautomerism's impact on genetic fidelity and evolutionary processes.

Stereoisomers

Enantiomers

Enantiomers are one of a pair of stereoisomers that are non-superimposable mirror images of each other. They arise from molecules that exhibit chirality, where the spatial arrangement of atoms cannot be superimposed on its mirror image. Unlike constitutional isomers, enantiomers share the same molecular formula and connectivity but differ in the configuration at one or more chiral centers. Chirality in enantiomers typically requires the presence of at least one chiral center, most commonly a tetrahedral carbon atom bonded to four different substituents, resulting in a stereogenic center. This asymmetry leads to the two possible configurations, often designated as (R) and (S) according to the Cahn-Ingold-Prelog priority rules. Without such a chiral element, molecules lack the handedness necessary for enantiomerism, and their mirror images are superimposable. Enantiomers possess identical physical properties, such as melting points, boiling points, and solubilities, but they differ in their interaction with plane-polarized light, rotating it in opposite directions—a known as optical activity. The , a measure of this effect, is equal in magnitude but opposite in sign for each . For instance, (S)-(+)- has a specific rotation of +3.8° at 589 nm, while its enantiomer, (R)-(-)-lactic acid, has -3.8° under the same conditions. This optical distinction arises because chiral molecules absorb left- and right-circularly polarized light differently. A , or racemate, consists of equal proportions of both s and exhibits no net due to mutual cancellation. Such mixtures are common in synthesis without chiral control and can be resolved into pure enantiomers using techniques like chiral . Enantiomers of one compound may form diastereomeric relationships with stereoisomers of related compounds, leading to differing properties in those contexts. projections provide a conventional two-dimensional representation of enantiomers, depicting the chiral center as a cross with horizontal bonds projecting forward and vertical bonds receding. For , the (S) enantiomer is shown with the hydroxyl group on the left in the standard orientation, contrasting with the (R) form on the right. This facilitates visualization of the mirror-image relationship without three-dimensional models.

Diastereomers

Diastereomers are defined as stereoisomers that are not mirror images of one another and thus not enantiomers. They arise in molecules with two or more chiral centers, where the stereoisomers differ in configuration at one or more, but not all, of these centers. This configuration difference leads to distinct spatial arrangements that result in varying physical and chemical properties, unlike the identical properties (except for optical rotation) observed in enantiomers. A classic example of diastereomers is found in tartaric acid, where the (2R,3R)-tartaric acid and the meso form (2R,3S)-tartaric acid differ in configuration at one chiral center. The meso form, being achiral due to an internal plane of symmetry, exhibits different solubility in water compared to the chiral (2R,3R) form; for instance, the meso isomer has lower solubility (125 g/100 mL) compared to the chiral form (135 g/100 mL), allowing separation via fractional crystallization. This difference in properties highlights how diastereomers can be resolved using conventional techniques like chromatography or distillation, in contrast to enantiomers which require specialized methods such as chiral resolution agents. Diastereomers require the presence of multiple stereogenic centers or other elements of to exist, as a single chiral center can only produce enantiomers. The term encompasses a broader range of stereoisomers than just those from chiral centers, including geometric isomers arising from restricted rotation, though the focus here is on chiral variants. A specific subtype of diastereomers is epimers, which are stereoisomers that differ in at only one chiral center while maintaining the same at all others. Epimers are particularly relevant in chemistry, where they influence biological recognition and reactivity.

Geometric Isomers

Geometric isomers, also referred to as cis-trans isomers, are stereoisomers that result from the restricted rotation about a , typically a carbon-carbon in alkenes or within cyclic structures like cycloalkanes, leading to distinct spatial arrangements of substituents. This form of isomerism is a subtype of diastereomerism, where the isomers are not mirror images. In alkenes, the rigidity of the double bond prevents rotation, allowing for two configurations when each carbon of the double bond is attached to two different substituents: the cis isomer, in which the higher-priority substituents (or similar groups) are on the same side of the double bond, and the trans isomer, in which they are on opposite sides. A classic example is 2-butene (CH₃-CH=CH-CH₃), where cis-2-butene has both methyl groups on the same side and a boiling point of 3.7 °C, while trans-2-butene has them on opposite sides with a boiling point of 0.9 °C; the difference arises from the greater dipole moment in the cis form, enhancing intermolecular forces./10:_Alkenes/10.04:_Physical_Properties)
  Cis-2-butene:     Trans-2-butene:
    CH3               CH3
     |                 \
  H-C=C-H             H-C=C-H
     |                 /
    CH3               CH3
When the two substituents on each carbon of the are different, the cis-trans nomenclature is insufficient, and the E/Z system is employed, based on the Cahn-Ingold-Prelog () priority rules. These rules, established in a seminal 1966 review, assign priorities to substituents by comparing s at the first point of difference (higher atomic number receives higher ); if tied, multiple bonds are treated as duplicated atoms for comparison. The (zusammen, "together") designation indicates higher- groups on the same side, analogous to , while (entgegen, "opposite") indicates they are on opposite sides, analogous to . This system ensures unambiguous naming for complex alkenes and is widely applied in . Geometric isomerism is also prevalent in cycloalkanes, where limits conformational flexibility, particularly in disubstituted rings like 1,2-dimethylcyclopentane or 1,3-dimethylcyclohexane. In these cases, isomers have substituents on the same face of the , while isomers have them on opposite faces; for instance, trans-1,2-dimethylcyclopropane is more stable due to reduced steric repulsion compared to its counterpart in small rings. Such isomers exhibit different physical properties, including boiling points and solubilities, influencing their roles in materials and biological systems.

Isotopic and Nuclear Variants

Isotopomers and Isotopologues

Isotopologues are molecular entities that differ only in their isotopic composition, specifically the number of isotopic substitutions present in the molecule. For instance, methane isotopologues include CH₄ (all protium), CH₃D (one deuterium substitution), and CH₂D₂ (two deuterium substitutions), where the isotopic variants replace protium with heavier isotopes like deuterium or tritium while maintaining the same connectivity of atoms. These variants arise naturally in low abundances or can be synthesized for specific applications, and their masses differ due to the varying neutron counts in the isotopes, leading to distinct physical properties such as vibrational frequencies and diffusion rates. Isotopomers represent a more specific subclass of isotopologues, defined as isomers that have the same number of each isotopic atom but differ in the positions of those isotopes within the molecule. The term is a contraction of "isotopic isomer," emphasizing their structural similarity except for isotope placement. For example, in ethane (C₂H₆), the isotopomers ¹³CH₃CH₂D and CH₃¹³CH₂D both contain one carbon-12, one carbon-13, one deuterium, and five protiums, but the deuterium and carbon-13 occupy different positions relative to each other. This positional difference becomes relevant in techniques that probe atomic environments, as the isotopes' locations can influence local electronic or magnetic properties without altering the overall molecular formula or bonding. A classic example involves ethanol (C₂H₅OH), where isotopologues such as CH₃CH₂OH (all protium) and CH₃CD₂OH (deuterated methylene group) exhibit nearly identical chemical reactivity but differ in molecular mass and spectroscopic signatures. In nuclear magnetic resonance (NMR) spectroscopy, these isotopic substitutions cause shifts in resonance frequencies due to the isotope effect, where heavier isotopes like deuterium alter the spin-spin coupling and chemical shifts of neighboring protons; for instance, the methylene protons in CH₃CH₂OH appear as a quartet at around 3.7 ppm in ¹H NMR, but in CH₃CHD₂, the signals split differently owing to the reduced coupling from deuterium's lower gyromagnetic ratio. This distinction allows NMR to resolve specific isotopomers, such as those with deuterium at the methyl (CH₂DCH₂OH), methylene (CH₃CHDOH), or hydroxyl (CH₃CH₂OD) positions, enabling precise analysis of isotopic distributions. Despite their classification as isotopic isomers, isotopologues and isotopomers are often distinguished from classical constitutional or stereoisomers because the latter typically assume identical nuclidic composition, whereas isotopic variants involve different atomic masses that subtly affect physical but not chemical properties. Their primary utility lies in and tracing applications, where the mass differences facilitate tracking molecular pathways without significantly perturbing reactivity. In isotope tracing, for example, stable isotopologues like ¹³C- or ²H-labeled metabolites are introduced into biological systems to monitor flux through pathways, as can distinguish enriched isotopologues from natural abundance ones, revealing and substrate utilization. This approach has been instrumental in elucidating dynamic processes in cellular , such as , by quantifying the incorporation of labeled carbons into downstream products.

Spin Isomers

Spin isomers refer to molecular that differ solely in the orientation of their nuclear spins, leading to distinct quantum states due to the indistinguishability of identical nuclei. In the case of dihydrogen (H₂), protons are fermions, and the total wavefunction must be antisymmetric, coupling nuclear spin symmetry to . Ortho-hydrogen features parallel nuclear spins (total spin quantum number I = 1, ), allowing only odd rotational quantum numbers J = 1, 3, 5, \dots, while para-hydrogen has antiparallel spins (I = 0, ), restricted to even J = 0, 2, 4, \dots./Quantum_Mechanics/11:_Molecules/Ortho_and_Para_hydrogen) The energy difference between the ground states of these isomers arises from the rotational levels, with para-H₂ in the J = 0 state at zero energy and ortho-H₂ in the J = 1 state. The is given by E_J = B J (J + 1), where B is the rotational constant for H₂ (B \approx 60.85 cm⁻¹). Thus, the ground-state energy separation is \Delta E = 2B \approx 122 cm⁻¹ (or about 175 K), making ortho-H₂ the higher-energy form. At low temperatures, such as below 20 K, the equilibrium favors para-H₂, but interconversion between ortho and para forms is kinetically hindered in the gas phase, occurring slowly (on the order of days to years) without a catalyst, allowing the isomers to be treated as separate species. This slow equilibration impacts applications like , where unconverted ortho-H₂ leads to boiling anomalies. These isomers influence spectroscopic properties, as - and para-H₂ exhibit distinct Raman and spectra due to their differing allowed rotational transitions, enabling their quantification and study in contexts. The distinction highlights Pauli exclusion principles in molecular , affecting thermodynamic properties like specific heat at low temperatures. In modern applications, para-H₂'s high nuclear polarization has been utilized in (NMR) , where it serves as a resource for implementing quantum algorithms with nearly pure states. Unlike isotopomers, which involve variations in isotopic mass without altering spin statistics, spin isomers maintain identical atomic composition but differ in alignment./Quantum_Mechanics/11:_Molecules/Ortho_and_Para_hydrogen)

Nuclear Isomers

Nuclear isomers are excited states of atomic nuclei that have the same (Z) and (A) as the but possess significantly longer lifetimes due to hindered transitions back to the lower . These metastable states arise when the is trapped in a where electromagnetic transitions, such as gamma decay, are suppressed by selection rules related to , , or other quantum mechanical factors. Unlike typical excited nuclear states that decay almost instantaneously (on the order of 10^{-12} seconds or less), nuclear isomers are conventionally defined as those with half-lives exceeding about 10^{-9} seconds. The primary decay mode for nuclear isomers is isomeric transition, involving the emission of gamma rays to release the excess energy and return to the ground state, though internal conversion or other processes can also occur. In standard notation, the metastable state is denoted by superscripting an "m" after the mass number, such as ^{60m}\ce{Co} for the isomer of cobalt-60, distinguishing it from the ground state ^{60}\ce{Co}. This notation highlights the isomeric nature without altering the elemental symbol or mass indication. Building on isotopic basics, where isotopes share Z but differ in A due to neutron count, nuclear isomers extend this concept to energy configurations within the same nuclide. A prominent example is (^{99m}\ce{Tc}), an isomer of the ground-state with a of approximately 6 hours, decaying primarily by gamma emission at 140 keV. This isomer is produced from the decay of molybdenum-99 and is widely used in (SPECT) for , allowing visualization of organs and tissues with minimal radiation dose due to its short and pure gamma emission. Beyond diagnostics, nuclear isomers hold significance in radiotherapy, where selective separation and utilization can enhance therapeutic efficacy; for instance, isolating the long-lived isomer lutetium-177m from lutetium-177 enables targeted beta-particle therapy for cancers like prostate carcinoma by avoiding unwanted gamma emissions from the isomer. Such applications underscore the potential of nuclear isomers to provide precise energy release for both and , filling gaps in by leveraging metastable states for controlled radiation delivery.

Applications

In Pharmaceuticals and Biology

In pharmaceuticals, the of often depends on the specific , with one form potentially therapeutic while the other is inactive or harmful. For example, , marketed as a in the late for treating in pregnant women, caused severe birth defects in over 10,000 children worldwide due to the teratogenic (S)-, despite the (R)- providing effects. This tragedy highlighted the risks of racemates, as racemize , complicating efforts to administer a pure non-toxic form. Biological systems exhibit , where enzymes distinguish between enantiomers to ensure precise molecular interactions. Naturally occurring proteins consist exclusively of L-amino acids, a maintained through stereospecific enzymatic processes like those catalyzed by synthetases, which reject D-enantiomers during protein synthesis. This selectivity supports proper and function, underscoring why disruptions in can impair biological pathways. Tautomerism in nucleobases contributes to genetic instability by enabling rare or imino forms that disrupt standard Watson-Crick base pairing during . For instance, the tautomer of can pair with instead of , leading to T-A to C-G transition . Such spontaneous tautomerizations, though infrequent, account for a portion of baseline mutation rates in cells. The incident prompted regulatory reforms, including the U.S. Food and Drug Administration's (FDA) 1992 policy on stereoisomeric drugs, which mandates stereospecific assays for evaluation in , , and during development. The guidelines favor single- drugs when one isomer demonstrates superior efficacy or safety over the racemate and require stability testing to detect potential . These standards ensure chiral integrity in and labeling, influencing global approaches to chiral drug approval.

In Materials and Synthesis

Isomers play a crucial role in and synthetic chemistry by enabling the tailoring of physical and chemical properties through structural variations. In polymer synthesis, geometric isomerism significantly influences mechanical behavior; for instance, cis-1,4-polyisoprene forms the elastic , while trans-1,4-polyisoprene yields the rigid , due to differences in chain packing and flexibility. These distinct properties arise from the spatial arrangement around double bonds, allowing selective techniques to produce materials with targeted elasticity or hardness. Constitutional isomers, differing in carbon , are essential in fuel design to enhance performance. Branched alkanes, such as (isooctane), exhibit higher octane ratings compared to straight-chain n-octane, reducing and improving combustion efficiency in . This isomer-specific branching increases and resistance to autoignition, guiding processes to optimize blends for higher output. Achieving selective formation of desired isomers poses significant synthetic challenges, particularly for enantiomers in chiral materials. Asymmetric catalysis addresses this by enabling stereoselective reactions, as recognized by the 2001 Nobel Prize in Chemistry awarded to William S. Knowles, Ryoji Noyori, and K. Barry Sharpless for developing chiral catalysts that produce enantiomerically pure compounds through and oxidation. These methods, such as Noyori's ruthenium-based catalysts, achieve high enantiomeric excesses (up to 100%) in industrial syntheses, facilitating the production of optically active polymers and ligands for advanced materials. In applications, geometric isomers enable responsive behaviors critical for optoelectronic devices. derivatives, which undergo reversible trans-to- , form liquid crystalline phases where the bent form disrupts nematic order, inducing phase transitions used in actuators and sensors. This isomerism allows light-controlled switching of , with isomers promoting aligned mesophases and isomers enabling rapid disordering, as demonstrated in elastomers with minimal content (under 4%) triggering complete order-to-disorder changes.

History

Early Concepts

The concept of isomerism emerged in the early amid growing recognition that compounds could share identical empirical formulas yet exhibit distinct properties, challenging prevailing notions of . This period predated modern understandings of atomic structure and electron configurations, relying instead on empirical analyses and observations of reactivity and physical characteristics. In 1830, Swedish chemist coined the term "isomerism" (from Greek roots meaning "equal parts") to describe such compounds, drawing on earlier observations of substances like silver cyanate (AgOCN) and (AgCNO). These silver salts, first synthesized by and in the 1820s, possessed the same elemental composition but differed markedly in stability—fulminate being highly while cyanate was relatively inert—prompting Berzelius to propose isomerism as a fundamental chemical phenomenon. During the 1830s, French chemist Jean-Baptiste André Dumas advanced early ideas about isomerism through his discoveries in substitution reactions, such as the chlorination of to form ether-like compounds. Dumas' work demonstrated that atoms could be replaced by equivalents like without altering the overall combining capacity, laying groundwork for structural theories that explained why isomers might arise from different atomic arrangements rather than compositional differences alone. In the 1850s, Italian chemist contributed to the understanding of isomerism by incorporating examples like the variants into his advocacy for Avogadro's on molecular weights. Through his 1858 "Sunto di un corso di filosofia chimica," Cannizzaro illustrated how isomers, such as the optically active forms of , supported distinctions between empirical and true molecular formulas, influencing the resolution of atomic weight debates at the 1860 .

Development of Stereochemistry

The development of stereochemistry began with Louis Pasteur's groundbreaking experiments in 1848, when he manually separated the enantiomers of sodium ammonium tartrate by crystallizing the compound and sorting the resulting hemihedral crystals under a , demonstrating that the two forms were mirror images with opposite optical rotations. This resolution marked the first isolation of enantiomers and provided for the existence of molecular handedness, challenging prevailing views that optical activity was a property of the crystalline form rather than the molecule itself. Pasteur's work built on the earlier discovery of optical activity by in 1815, who observed that certain organic solutions rotated plane-polarized light, but it was Pasteur who, in the , explained this as arising from the asymmetric arrangement of atoms within the , introducing the concept of molecular dissymmetry. Pasteur's correlation of crystal morphology with in tartrates solidified the link between spatial structure and physical properties, laying the foundation for as a distinct field. A pivotal theoretical advance came in 1874, when and Joseph Achille Le Bel independently proposed that the carbon atom has a tetrahedral geometry, with its four bonds directed toward the vertices of a , to account for the existence of enantiomers and the observed optical activity in compounds like . This model resolved the puzzle of why certain molecules with identical connectivity exhibited different properties, predicting that four different substituents on a carbon would yield non-superimposable mirror images, thus formalizing the structural basis for . By the mid-20th century, the need for a systematic led to the Cahn-Ingold-Prelog () rules, introduced in 1956 by Robert Sidney Cahn, Christopher Kelk Ingold, and , which provide a priority-based method to assign absolute configurations (R or S) to chiral centers by ranking substituents according to and other criteria. These rules standardized the designation of enantiomers, enabling precise communication of stereochemical information across the and facilitating advances in synthesis and analysis.

Modern Advances

In the mid-20th century, (NMR) spectroscopy emerged as a cornerstone technique for distinguishing structural and stereoisomers through differences in chemical shifts and resonance multiplicities, enabling precise identification of molecular configurations in solution. Complementing NMR, has advanced significantly since the 1950s, providing atomic-resolution structures that reveal isomer-specific bonding and packing arrangements, particularly in crystalline solids and nanoparticles. For instance, single-crystal analysis has elucidated structural isomerism in gold nanoparticles, highlighting subtle geometric variations otherwise undetectable. For separation, chiral (HPLC) became widely adopted in the late 20th century, utilizing chiral stationary phases to exploit differential interactions between enantiomers and achieve baseline resolutions. This method's high efficiency and scalability have made it indispensable for purifying optical isomers in pharmaceutical production, with recent enhancements incorporating ultra-high-performance variants for faster analyses. Quantum chemistry computations, particularly (DFT) methods developed in the 1990s and refined thereafter, have revolutionized the prediction of equilibria by calculating relative energies and effects with high accuracy. These approaches model proton transfer pathways and predict dominant s in solution, aiding where tautomeric forms influence reactivity and binding affinity. In the 2010s, supramolecular isomerism gained prominence in metal-organic frameworks (MOFs), where subtle changes in orientation or conditions yield frameworks with identical compositions but distinct topologies and porosities. For example, isomers of MOF-74 exhibit tunable pore sizes and guest-binding properties, controlled by synthesis modulators, enabling applications in gas storage and separation. Recent reviews underscore how such isomerism enhances MOF functionality through directed . Advances in ultracold quantum gases have illuminated spin isomers—distinct nuclear spin configurations like and forms in diatomic molecules—through and superposition states. In fermionic molecules such as NaK, researchers have achieved stable between spin-isomer states at near-absolute zero, opening pathways to and entanglement studies. Computational and nanoscale applications continue to evolve, with DFT-integrated protocols predicting stable isomers in for 2020s innovations in and sensing. For instance, machine learning-enhanced forecast phase-separated nanostructures, ensuring desired isomer dominance at the atomic scale for . These tools address scalability challenges, providing 2025-relevant insights into isomer-selective synthesis in quantum dots and hybrid .

References

  1. [1]
    isomer (I03289) - IUPAC Gold Book
    One of several species (or molecular entities) that have the same atomic composition (molecular formula) but different line formulae or different ...Missing: authoritative | Show results with:authoritative
  2. [2]
    A review of drug isomerism and its significance - PMC - NIH
    Currently, knowledge of isomerism has helped us in introducing safer and more effective drug alternatives of the newer as well as existing drugs. Many existing ...
  3. [3]
    Exploring the chemistry and evolution of the isomerases - PMC
    Feb 3, 2016 · Abstract. Isomerization reactions are fundamental in biology, and isomers usually differ in their biological role and pharmacological effects.
  4. [4]
    5.1: Isomers - Chemistry LibreTexts
    Jun 9, 2019 · Isomers are molecules with the same molecular formulas, but different arrangements of atoms. There are several different types of isomers which will be ...Missing: authoritative | Show results with:authoritative
  5. [5]
    DOE Explains...Isotopes - Department of Energy
    Isotopes are members of a family of an element that all have the same number of protons but different numbers of neutrons.
  6. [6]
    allotropes (A00243) - IUPAC Gold Book
    Different structural modifications of an element. Source: Red Book, 3rd ed., p. 35 [Terms] [Book]. Citation: 'allotropes ...<|control11|><|separator|>
  7. [7]
    5.2: The Two Major Classes of Isomers - Chemistry LibreTexts
    Feb 5, 2022 · The two major classes of isomers are constitutional isomers, with different bonding, and stereoisomers, which differ in spatial orientation.
  8. [8]
    4.2. Classification of Isomers – Introduction to Organic Chemistry
    Isomers are different molecules formed from the same set of atoms. There are several different ways this can be accomplished.Missing: authoritative | Show results with:authoritative
  9. [9]
    [PDF] PDF - IUPAC nomenclature
    Chapter P-9 covers specification of configuration and conformation using 'stereodescriptors' like 'R', 'S', 'r', 's', 'M', and 'P' to indicate configuration.
  10. [10]
    [PDF] Isotopomers and Isotopologues
    Isotopomer: Isomers having the same number of each isotopic atom but differing in their positions. The term is a contraction of “isotopic isomer.” Isotopomers ...
  11. [11]
    Classification of Nuclear Isomers | Phys. Rev.
    A classification is made on the basis of the forbiddenness of the transitions from the known nuclear isomeric states. The resultant grouping is shown to be ...
  12. [12]
    Skeletal Isomers - Chemistry LibreTexts
    Feb 28, 2022 · Skeletal isomers are constitutional isomers that have the same functional groups but differ from each other in the connectivity of the carbon skeleton.
  13. [13]
    2: Chapter 2 Alkanes - Chemistry LibreTexts
    Apr 28, 2020 · Alkanes have the general formula CnH2n+2 and can be subdivided into the following three groups: the linear straight-chain alkanes, branched ...
  14. [14]
    3.2: Alkanes and Alkane Isomers - Chemistry LibreTexts
    Sep 30, 2024 · Constitutional isomers may have different carbon skeletons (as in isobutane and butane), different functional groups (as in ethanol and ...
  15. [15]
    3.5: Properties of Alkanes - Chemistry LibreTexts
    Sep 30, 2024 · Branched-chain alkanes are lower-boiling because they are more nearly spherical than straight-chain alkanes, have smaller surface areas, and ...
  16. [16]
    Positional Isomers - Chemistry LibreTexts
    Feb 28, 2022 · Positional isomers are constitutional isomers that have the same carbon skeleton and the same functional groups but differ from each other.
  17. [17]
    Organic Chemistry: Constitutional (Structural) Isomerism
    May 21, 2019 · Positional isomers are molecules with the same molecular formula and same functional group but differ in the position of the functional group.
  18. [18]
    Functional Isomers: Meaning, Examples, Uses | StudySmarter
    Oct 14, 2023 · Functional isomers are molecules with the same molecular formula but different functional groups. Let's delve deeper into understanding this concept in the ...
  19. [19]
    Functional group isomerism - Creative Chemistry
    Functional group isomerism occurs when substances have the same molecular formula but different functional groups, such as alcohols and ethers, aldehydes and ...
  20. [20]
    Isomer: Definition, Types, Structures, and Examples
    May 22, 2023 · Isomers are structures with the same molecular formula and chemical composition but different arrangements of atoms in space.Missing: authoritative | Show results with:authoritative
  21. [21]
    Metamerism: Meaning, Examples & Applications - StudySmarter
    Oct 14, 2023 · Metamerism: This term refers to isomers of organic compounds within aliphatic and cyclic systems that have the same molecular formula but differ ...
  22. [22]
    Definition, Classification, Structural Isomerism, Stereoisomerism ...
    Metamerism is a rare type of isomerism and is mostly seen in chemical molecules containing divalent atoms attached by alkyl groups. For example, ethoxy ethane ...<|control11|><|separator|>
  23. [23]
    Functional Groups In Organic Chemistry
    Oct 6, 2010 · Common examples of functional groups are alcohols, alkenes, alkynes, amines, carboxylic acids, aldehydes, ketones, esters, and ethers, among ...
  24. [24]
    Alcohol Reactivity - MSU chemistry
    Ethers are usually prepared from alcohols or their conjugate bases. One ... ethers are probably the least reactive, common class of organic compounds.
  25. [25]
    Chemical Reactivity - MSU chemistry
    Tautomers are rapidly interconverted constitutional isomers, usually distinguished by a different bonding location for a labile hydrogen atom (colored red ...
  26. [26]
    The pKa and keto-enol equilibrium constant of acetone in aqueous ...
    The pKa and keto-enol equilibrium constant of acetone in aqueous solution | Journal of the American Chemical Society.
  27. [27]
  28. [28]
    Role of tautomerism in RNA biochemistry - PMC - NIH
    Base catalyzed tautomeric interconversions involve deprotonation to form an anion, followed by protonation at another location to generate a neutral alternative ...<|separator|>
  29. [29]
    chirality centre (C01060) - IUPAC Gold Book
    A chirality centre is thus a generalized extension of the concept of the asymmetric carbon atom to central atoms of any element.
  30. [30]
    chiral (C01057) - IUPAC Gold Book
    Having the property of chirality. As applied to a molecule the term has been used differently by different workers. Some apply it exclusively to the whole ...
  31. [31]
    Diastereomers - Chemistry LibreTexts
    Jan 22, 2023 · Diastereomers are stereoisomers that are not related as object and mirror image and are not enantiomers.Introduction · Diastereomers vs...
  32. [32]
    5.6 Diastereomers - Organic Chemistry | OpenStax
    Sep 20, 2023 · The same is true of diastereomers: they're similar, but they aren't identical and they aren't mirror images. Note carefully the difference ...Missing: definition | Show results with:definition
  33. [33]
    Enantiomers and Diastereomers - Oregon State University
    Jun 22, 2020 · Two stereoisomers that are mirror images are enantiomers. The prefix enantio- designates the mirror-image relationship. Two stereoisomers of the ...
  34. [34]
    Supplemental Topics - MSU chemistry
    A third tartaric acid isomer, originally called pyrotartaric acid ... The diastereomeric salts in the product mixture have such different water solubility ...
  35. [35]
    6.8 Resolution (Separation) of Enantiomers - Chemistry LibreTexts
    Feb 13, 2019 · Since enantiomers have identical physical properties, such as solubility and melting point, resolution is extremely difficult. Diastereomers, on ...
  36. [36]
    LON-CAPA Geometric Isomers
    In fact, geometric isomers are diastereomers, i.e. they are stereoisomers that are not enantiomers. The prefixes cis and trans refer to the relative ...Missing: include | Show results with:include
  37. [37]
    Chirality and Stereoisomers - Chemistry LibreTexts
    Oct 26, 2025 · Diastereomers which differ in only one stereocenter (out of two or more) are called epimers. D-glucose and D-galactose can therefore be refered ...
  38. [38]
    5.6: Diastereomers - Chemistry LibreTexts
    Jan 28, 2023 · Diastereomers are two molecules which are stereoisomers (same molecular formula, same connectivity, different arrangement of atoms in space) ...Objectives · Introduction · Stereoisomer Shortcuts · Determining the Maximum...
  39. [39]
    E and Z Notation For Alkenes (+ Cis/Trans) - Master Organic Chemistry
    Feb 28, 2025 · E/Z is the preferred, more comprehensive nomenclature since it describes absolute configuration, whereas cis- trans- merely describes relative configuration.
  40. [40]
    Geometric Isomers In Small Rings: Cis And Trans Cycloalkanes
    Mar 20, 2014 · Geometric isomers (cis- and trans- isomers) arise in cycloalkanes because small rings cannot be turned inside-out and substituents are ...
  41. [41]
    isotopologue (I03351) - IUPAC
    A molecular entity that differs only in isotopic composition (number of isotopic substitutions), e.g. CH A 4 , CH A 3 D , CH A 2 D A 2 . Source:
  42. [42]
    isotopomer (I03352) - IUPAC Gold Book
    Isotopomers are isomers with the same number of each isotopic atom but differing in their positions. The term is a contraction of 'isotopic isomer'.Missing: isotopologues | Show results with:isotopologues
  43. [43]
    Multinuclear NMR spectroscopy of ethanol isotopic forms in the ...
    Apr 15, 2022 · Several ethanol isotopic species were dissolved in the buffer gases, Xe and SF6, and carefully investigated by NMR spectroscopy.
  44. [44]
    2H-NMR resolution of the methylenic isotopomers of ethanol applied ...
    Three isotope ratios associated with the methyl, methylene, and hydroxyl sites of ethanol are determined in achiral media. In this study we show that ...
  45. [45]
    Isotopomers of ethanol detected by ²H NMR spectroscopy and the...
    Download scientific diagram | Isotopomers of ethanol detected by ²H NMR spectroscopy and the respective isotopic ratios. from publication: NMR in the ...
  46. [46]
    Correcting for Naturally Occurring Mass Isotopologue Abundances ...
    May 12, 2021 · Stable-isotope tracing is a method to measure intracellular metabolic pathway utilization by feeding a cellular system a stable-isotope-labeled ...
  47. [47]
    Article Application of Stable Isotope Tracing to Elucidate Metabolic ...
    Feb 21, 2020 · Best practices use gas chromatography (GC) or LC in tandem with MS to separate and quantify a subset of metabolites including isotopologues.
  48. [48]
    Quantum rotation and translation of hydrogen molecules ... - Journals
    Sep 13, 2013 · For an isolated dihydrogen molecule, the rotational energy levels are given by Erot=BJ(J+1), where J=0,1,2,… is the rotational quantum ...
  49. [49]
    Pressure-enhanced ortho-para conversion in solid hydrogen up to ...
    According to Motizuki and Nagamiya (19) the rotational energy difference between a J = 1 ortho molecule and a J = 0 para molecule, ΔE0←1 = 2B = 171 K ...
  50. [50]
    Mechanism of the ortho-para conversion of hydrogen on Ag surfaces
    One particular feature is that the transition between the ortho and para states is so slow in the gas phase with a conversion time of the order of 10 10 s ...<|control11|><|separator|>
  51. [51]
    [PDF] Compilation of Thermal Properties of Hydrogen in Its Various ...
    The available thermal data for H2, HD, and D2 in solid, liquid, and gaseous states have been brought together, including the distinctive properties of ortho and ...
  52. [52]
    Raman spectroscopy for ortho-para hydrogen catalyst studies
    Raman spectroscopy is a superior technique for ortho-para monitoring, com-pared to methods based on thermodynamic properties like heat conductivity.
  53. [53]
    Implementation of NMR quantum computation with parahydrogen ...
    Sep 24, 2004 · We demonstrate the implementation of a quantum algorithm on a liquid-state NMR quantum computer using almost pure states.Missing: ultracold | Show results with:ultracold
  54. [54]
    [PDF] 4. Nuclear isomer research with photons - OSTI
    Comparatively long-lived excited states in nuclei are called "isomers" [1], arbitrarily defined as having a half-life greater than 1 ns. When an isomer decays, ...
  55. [55]
    [PDF] Introduction to Nuclear Physics
    May 25, 2006 · Isomers. - nuclides with the same A and Z, but different energy. Page ... Some excited states persist longer (10-12 sec - 600 years!)
  56. [56]
    [PDF] Detection of Actinides via Nuclear Isomer De-Excitation
    Jul 8, 2009 · The isomer then decays back down to a lower energy level, releasing a high-energy gamma.
  57. [57]
    Technetium-99m - StatPearls - NCBI Bookshelf
    Feb 29, 2024 · 99mTc is a more desirable radionuclide than other nuclear agents due to its six-hour half-life, which is enough time to permit imaging at a ...
  58. [58]
    Molybdenum-99/Technetium-99m Production and Use - NCBI - NIH
    The Mo-99 in the generators decays with about a 66-hour half-life to Tc-99m. ... Selected Examples of Tc-99m Kits for Nuclear Medicine Diagnostic Imaging.
  59. [59]
    Separation of nuclear isomers for cancer therapeutic radionuclides ...
    Mar 13, 2017 · We report a separation method that achieves the challenging separation of the physically and chemically identical nuclear isomers, 177m Lu and 177 Lu.
  60. [60]
    Nuclear isomers in medicine | The European Physical Journal ...
    Mar 12, 2024 · Nuclear isomers have not yet played a role in the therapeutic applications. Somehow, the highly energetic decay characteristics needed ...
  61. [61]
    (S)-Thalidomide - an overview | ScienceDirect Topics
    (S)-thalidomide was shown to be responsible for over 2000 cases of birth defects in children born to women who took the drug during pregnancy.
  62. [62]
    Thalidomide‐induced teratogenesis: History and mechanisms - NIH
    Jun 4, 2015 · However as the drug can convert (racemise) between enantiomeric states, it is very difficult to make a stable form that is nonteratogenic. ...
  63. [63]
    25.2: Structure and Stereochemistry of the Amino Acids
    May 30, 2020 · All naturally occuring proteins from all living organisms consist of L amino acids. The absolute stereochemistry is related to L-glyceraldehyde, ...Introduction to Amino Acids · Stereochemistry · Natural α-Amino Acids · ZwitterionMissing: stereoselectivity | Show results with:stereoselectivity
  64. [64]
    Amino Acid Chirality: Stereospecific Conversion and Physiological ...
    The occurrence of both l- and d-enantiomers of amino acids in the living systems necessitates the presence of enzymes that exhibit stereoselectivity in ...
  65. [65]
    Tautomerisation Mechanisms in the Adenine-Thymine Nucleobase ...
    Mar 20, 2023 · The root idea that the tautomerization of DNA may be a mechanism promoting genetic mutation dates back to a short, tentative hypothesis from ...Introduction · Discussion · Conclusions · Supporting Information
  66. [66]
    Structural Insights Into Tautomeric Dynamics in Nucleic Acids and in ...
    These mutations are thought to arise due, in part, to the altered base pairing properties of minor tautomers (Figure 4) (Watson and Crick, 1953; Topal and ...
  67. [67]
    Development of New Stereoisomeric Drugs May 1992 - FDA
    May 1, 1992 · This document focuses on issues relating to the study and pharmaceutical development of individual enantiomers and racemates.
  68. [68]
    Introduction to polymers: 2.3.3 Geometrical isomerism | OpenLearn
    Figure 19 Geometrical isomerism in polyisoprene. Cis-polyisoprene in the main polymer occurs in natural rubber, trans-polyisoprene in gutta percha. But there ...
  69. [69]
    Sugar-Based Polymers with Stereochemistry-Dependent ...
    Jan 14, 2022 · Stereochemistry in polymers can be used as an effective tool to control the mechanical and physical properties of the resulting materials.
  70. [70]
    [PDF] Alkanes Acyclic alkanes have the general molecular formula C H ...
    The higher the octane number, the less a gasoline motor will tend to "knock." Octane numbers – heptane = 0, engines knock badly; 2,2,4-trimethylpentane (" ...
  71. [71]
    Paraffins | FSC 432: Petroleum Refining
    Iso-octane (an isomer of n-octane): 2,2,4-trimethylpentane. -i-alkanes have high octane #'s: e.g. Octane # of 2,2,4-TMP = 100. -n alkanes have low octane #'s ...
  72. [72]
    The Nobel Prize in Chemistry 2001 - Popular information
    The first industrial catalytic asymmetric synthesis​​ Knowles' aim was to develop an industrial synthesis of the amino acid L-DOPA, which had proved useful in ...
  73. [73]
    On the Effects of Different trans and cis Populations in Azobenzene ...
    Jul 26, 2023 · We investigate main-chain liquid crystal elastomers (LCEs) formed by photoresponsive azobenzene units with different populations of trans and cis conformers.Introduction · Model and Simulations · Results and Discussion · Appendix B
  74. [74]
    Mechanism of Photochemical Phase Transition of Single ...
    Apr 18, 2013 · The alkylalkoxyazobenzene liquid crystals present a reversible isomerization process between two isomers trans and cis. The trans-to-cis ...1 Introduction · 3.2 Isothermal Phase... · Figure 6
  75. [75]
    Efficient Light-Induced Phase Transitions in Halogen-Bonded Liquid ...
    Oct 6, 2016 · We show that <4% of the mesogenic units in the bent cis-configuration suffice to induce a complete order-to-disorder transition of the materials ...Experimental Section · Photoresponsive Behavior · Synthetic Procedures
  76. [76]
    Origins of Organic Chemistry and Organic Synthesis - Wentrup - 2022
    Mar 23, 2022 · This work contributed to Berzelius′ formulation of the concept of isomerism, first put forward in 1830, when he was considering the terms homo- ...
  77. [77]
    isomerism summary | Britannica
    Jons Jacob Berzelius was the first to recognize and name it (1830). In constitutional (structural) isomerism, the molecular formula and molecular weight of ...
  78. [78]
    Silver Cyanate vs Silver Fulminate
    Isomerism was first noticed in 1827, when Friedrich Woehler prepared silver cyanate ... Jöns Jakob Berzelius introduced the term isomerism in 1830 to describe the ...
  79. [79]
    Pasteur and chirality: A story of how serendipity favors the prepared ...
    Aug 6, 2021 · Louis Pasteur is certainly the father of molecular chirality (the so‐called molecular dissymmetry), and because of the exceptionally favored conditions of his ...
  80. [80]
    The Discovery of Optically Active Coordination Compounds
    It was Louis Pasteur who initiated the investigation of optical activity as a property of molecules. In 1848 he found that crystals of tartaric acid and its ...
  81. [81]
    Chirality and Optical Activity
    Optical activity is a macroscopic property of a collection of these molecules that arises from the way they interact with light. Compounds, such as CHFClBr, ...
  82. [82]
    van't Hoff-Le Bel Centennial - ACS Publications
    J. A. Le Bel's Stereochemical Ideas Compared with Those of J. H. van't Hoff (1874) ... tetrahedral nature of carbon. This prompted an interest in stereochemical ...
  83. [83]
    The 50th Anniversary of the Cahn–Ingold–Prelog Specification of ...
    May 6, 2016 · Just over 50 years ago, Robert S. Cahn, Sir Christopher Ingold, and Vladimir Prelog published the Review 'Specification of Molecular Chirality' in Angewandte ...
  84. [84]
    [PDF] Chapter 3: Conformation and Stereochemistry - Organic Chemistry
    Chapter 3 covers conformation and stereochemistry, including molecular chirality, classifying stereoisomers, and determining if a molecule is chiral or achiral.
  85. [85]
    Structural isomer identification via NMR: A nuclear magnetic ...
    This experiment examines the ability of NMR to distinguish between structural isomers via resonance multiplicities and chemical shifts.
  86. [86]
    Structural isomerism in gold nanoparticles revealed by X-ray ...
    Oct 20, 2015 · Revealing structural isomerism in nanoparticles using single-crystal X-ray crystallography remains a largely unresolved task, ...
  87. [87]
    A Strategy for Developing HPLC Methods for Chiral Drugs
    In the direct approach which is often called chiral HPLC, the enantiomers or their derivatives are passed through a column containing a chiral stationary phase ...
  88. [88]
    Theoretical Study by Density Functional Theory Method (DFT) of ...
    The results of the thermodynamic parameters showed that there is an equilibrium relation between the different tautomers.
  89. [89]
    DFT calculations of O–H⋯O 1H NMR chemical shifts in investigating ...
    An approach for investigating enol-enol tautomeric equilibria is presented. · The method is based on quantum chemical calculations of O–H. · The method was ...
  90. [90]
    Helix-based supramolecular isomerism of metal–organic framework
    Chiral recognition between helical chains has been found in compound 3. Graphical abstract: Helix-based supramolecular isomerism of metal–organic framework.
  91. [91]
    Tuning the supramolecular isomerism of MOF-74 by controlling the ...
    This work highlights the key role played by the solvents and specific modulators in the formation and stability of two isomers of the well-known MOF-74. graphic ...
  92. [92]
    Supramolecular systems and their connection with metal–organic ...
    This review covers a general introduction to MOFs and supramolecularity, the key unit of the study presented here, followed by a survey of recent advances in ...<|separator|>
  93. [93]
    Coherent dynamics of a nuclear-spin-isomer superposition
    Mar 17, 2025 · We present a scheme that exploits an avoided crossing in the spectrum to create strong coupling between two uncoupled nuclear-spin-isomer states.
  94. [94]
    Ultracold Quantum Gases Group - MIT
    Here, we report on the observation of stable coherence between a pair of nuclear spin states of ultracold fermionic NaK molecules in the singlet rovibrational ...
  95. [95]
    Computational Protocol for the Identification of Candidates ... - MDPI
    We developed a new computational protocol based on the minimum-energy principle. This approach aims to identify the most stable isomer of the family and ...Missing: 2020s | Show results with:2020s
  96. [96]
    Crystal Lattice Analysis for 2D Nanomorphology Prediction of Phase ...
    Oct 14, 2025 · Spontaneous phase separation of materials is a powerful strategy to generate highly defined 2D nanomorphologies with novel properties and ...<|control11|><|separator|>
  97. [97]
    Nanoscience in Action: Unveiling Emerging Trends in Materials and ...
    Nanoscale catalysts can enhance the efficiency of chemical reactions, leading to greener industrial processes. Nanomaterials can contribute to the development ...