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Ring flip

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The conformer of methylcyclohexane with equatorial methyl is favored by 1.74 kcal/mol (7.3 kJ/mol) relative to the conformer where methyl is axial.

Inorganic chemistry,aring flip(also known as aring inversionorring reversal) is the interconversion of cyclicconformersthat have equivalentringshapes (e.g., from a chair conformer to another chair conformer) that results in the exchange of nonequivalentsubstituentpositions.[1]The overall process generally takes place over several steps, involving coupled rotations about several of the molecule'ssingle bonds,in conjunction with minor deformations ofbond angles.Most commonly, the term is used to refer to the interconversion of the two chair conformers ofcyclohexane derivatives,which is specifically referred to as achair flip,although othercycloalkanesand inorganic rings undergo similar processes.

Chair flip[edit]

As stated above, a chair flip is a ring inversion specifically of cyclohexane (and its derivatives) from one chairconformerto another, often to reducesteric strain.The term, "flip" is misleading, because the direction of each carbon remains the same; what changes is the orientation. A conformation is a unique structural arrangement of atoms, in particular one achieved through the rotation of single bonds.[2]A conformer is a conformationalisomer,a blend of the two words.

Cyclohexane[edit]

There exist many different conformations for cyclohexane, such as chair, boat, and twist-boat, but the chair conformation is the most commonly observed state for cyclohexanes because it requires the least amount of energy.[3]The chair conformation minimizes bothangle strain and torsional strainby having all carbon-carbon bonds at 110.9° and all hydrogens staggered from one another.[2]

The conformational changes that occur in a cyclohexane ring flip take place over several stages. StructureD(10.8 kcal/mol) is the highest energy transition state of the process.

The molecular motions involved in a chair flip are detailed in the figure on the right: The half-chair conformation (D,10.8 kcal/mol,C2symmetry) is the energy maximum when proceeding from the chair conformer (A,0 kcal/mol reference,D3dsymmetry) to the higher energy twist-boat conformer (B,5.5 kcal/mol,D2symmetry). The boat conformation (C,6.9 kcal/mol,C2vsymmetry) is a local energy maximum for the interconversion of the twomirror imagetwist-boat conformers, the second of which is converted to the other chair confirmation through another half-chair. At the end of the process, all axial positions have become equatorial and vice versa. The overall barrier of 10.8 kcal/mol corresponds to a rate constant of about 105s–1at room temperature.

Note that the twist-boat (D2) conformer and the half-chair (C2) transition state are inchiralpoint groupsand are therefore chiral molecules. In the figure, the two depictions ofBand two depictions ofDare pairs of enantiomers.

As a consequence of the chair flip, the axially-substituted and equatorially-substituted conformers of a molecule likechlorocyclohexanecannot be isolated at room temperature. However, in some cases, the isolation of individual conformers of substituted cyclohexane derivatives has been achieved at low temperatures (–150 °C).[4]

Axial and equatorial positions[edit]

As noted above, by transitioning from one chair conformer to another, all axial positions become equatorial and all equatorial positions become axial. Substituent groups in equatorial positions roughly follow along the equator of the cyclohexane ring and are perpendicular to the axis, while substituents in axial positions roughly follow the imaginary axis of the carbon ring and are perpendicular to the equator.[5]

Diaxial interactions or axial-axial interactions is what thesteric strainbetween an axial substituent and another axial group, typically a hydrogen, on the same side of a chair conformation ring. The interaction is labeled by the carbon number they come from. A 1,3-diaxial interaction happens between the atoms connected to the first and third carbons. The more interactions the more strain on the molecule and the conformations with the most strain are less likely to be seen. An example is cyclopropane which, because of its planar geometry, has six fully eclipsed carbon and axial hydrogen bonds making the strain 116 kJ/mol (27.7 kcal/mol).[5]Strain can also be decreased when the carbon-carbon bond angles are close or at the preferred bond angle of 109.5°, meaning a ring having sixtetrahedralcarbons is typically lower than that of most rings.

Numbered six carbon ring demonstrating the changes made axially and equatorially when a ring is "flipped." In the left side representation, red hydrogens are equatorial, then become axial upon ring flip.

Examples[edit]

The1H NMR spectrum of titanocene pentasulfide features two signals at room temperature, a consequence of its relative rigidity.
Bicycloalkane with two "bridgehead carbons"

Cyclohexane is a prototype for low-energy degenerate ring flipping. Two1H NMR signals should be observed in principle, corresponding to axial and equatorial protons. However, due to the cyclohexane chair flip, only one signal is seen for a solution of cyclohexane at room temperature, as the axial and equatorial proton rapidly interconvert relative to the NMR time scale. Thecoalescence temperatureat 60 MHz is ca. –60 °C.[6]As a consequence of the chair flip, the axially-substituted and equatorially-substituted conformers of a molecule like chlorocyclohexane cannot be isolated at room temperature.

However, in some cases, the isolation of individual conformers of substituted cyclohexane derivatives has been achieved at low temperatures (–150 °C).

Most compounds with nonplanar rings engage in degenerate ring flipping. One well-studied example istitanocene pentasulfide,where the inversion barrier is high relative to cyclohexane's.Hexamethylcyclotrisiloxaneon the other hand is subject to a very low barrier.

Bicycloalkanes arealkanescontaining two rings that are connected to each other by sharing two carbon atoms. Orientation within bicycloalkanes is dependent on the cis or trans orientation of the hydrogen shared by the different rings instead of themethylgroups present in the rings.[7]

Tetrodotoxinis one of the world's most potent toxins. It is made up of multiple six member rings set in chair conformations, with each ring but one containing an atom other than carbon.

Skeletal structuresof 1,8-dimethylnaphthaleneand 4,5-dimethylphenanthreneannotated with thesteric effectsbetween the twomethyl groups.

See also[edit]

References[edit]

  1. ^IUPAC,Compendium of Chemical Terminology,2nd ed. (the "Gold Book" ) (1997). Online corrected version: (2006–) "ring reversal (ring inversion)".doi:10.1351/goldbook.LR05397
  2. ^abBrown, William H., et al.Organic Chemistry.8th ed., Cengage Learning, 2018.
  3. ^Kang, S., Noh, C., Kang, H., Shin, J. Y., Kim, S. Y., Kim, S.,... & Lee, Y. (2021). Dynamics and Entropy of Cyclohexane Rings Control pH-Responsive Reactivity.JACS Au,1(11), 2070-2079.
  4. ^Jensen, Frederick R.; Bushweller, C. Hackett (1969). "Separation of conformers. II. Axial and equatorial isomers of chlorocyclohexane and trideuteriomethoxycyclohexane".Journal of the American Chemical Society.91(12): 3223–3225.doi:10.1021/ja01040a022.
  5. ^abBrown, William H., et al.Organic Chemistry.8th ed., Cengage Learning, 2018.
  6. ^D., Nasipuri (1994).Stereochemistry of organic compounds: principles, and applications(2nd ed.). New Delhi: Wiley Eastern.ISBN8122405703.OCLC31526399.[page needed]
  7. ^Brown, William H., et al.Organic Chemistry.8th ed., Cengage Learning, 2018.

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