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Reglas de selección de Woodward-Hoffmann y reversibilidad microscópica
Las reacciones electrocíclicas, las cicloadiciones y los reordenamientos sigmatrópicos son reacciones pericíclicas concertadas que se desarrollan a tr…
Las reglas de Woodward-Hoffmann son un conjunto de generalizaciones utilizadas para predecir la estereoquímica de las reacciones pericíclicas basadas en la simetría orbital.
La regla establece que las reacciones pericíclicas térmicas están permitidas por simetría cuando la suma de los componentes (4q + 2)s y (4r)a es impar y fotoquímicamente permitida cuando la suma es par.
Aquí, q y r son números enteros. (4preguntas + 2)S y (4r)a designan el número de electrones en los componentes suprafaciales y antarafaciales.
Recordemos que suprafacial y antarafacial se refieren a las dos formas distintas en que se desarrollan nuevos enlaces.
Apliquemos esto a la electrociclación del octatrieno.
En primer lugar, identifique los componentes. Un trieno es un componente π6 que pertenece a la categoría (4q + 2).
A continuación, etiquete los componentes como suprafaciales o antarafaciales. El estado fundamental HOMO tiene lóbulos terminales simétricos; La formación de enlaces se produce a través de una vía suprafacial y disrotatoria.
Por último, añade los componentes. Hay un componente (4q + 2) y ningún componente (4r)a. La suma es uno, y la reacción está permitida térmicamente.
Las reacciones pericíclicas son reversibles. Las reglas de selección se aplican por igual a las reacciones hacia adelante y hacia atrás a medida que avanzan a través del mismo estado de transición.
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Q1: What are Woodward–Hoffmann rules and how do they predict pericyclic reaction outcomes?
Woodward–Hoffmann rules predict the stereochemistry of pericyclic reactions based on orbital symmetry. Thermal pericyclic reactions are symmetry-allowed when the sum of (4q + 2)s and (4r)a components is odd; photochemical reactions are allowed when the sum is even. These rules rest on conservation of orbital symmetry, where reactions with matching symmetry characteristics between reactant and product orbitals proceed via low-energy transition states.
Q2: How do suprafacial and antarafacial components determine whether a pericyclic reaction is allowed?
Suprafacial and antarafacial designate how new bonds develop in pericyclic reactions. The Woodward–Hoffmann formula counts electrons in suprafacial (4q + 2)s and antarafacial (4r)a components. For thermal reactions, an odd sum of these components indicates a symmetry-allowed pathway. For example, octatriene electrocyclization proceeds through a suprafacial, disrotatory pathway with one (4q + 2)s component, yielding a sum of one and thermal allowance.
Q3: Why do thermal and photochemical pericyclic reactions follow different selection rules?
Thermal and photochemical pericyclic reactions differ in their electronic states and orbital symmetry correlations. Thermal reactions are allowed when the sum of (4q + 2)s and (4r)a components is odd, while photochemical reactions require an even sum. This difference reflects how ground-state versus excited-state orbital symmetries correlate between reactants and products through the transition state.
Q4: What is microscopic reversibility and how does it apply to pericyclic reactions?
Microscopic reversibility states that forward and reverse reactions proceed through the same transition state and follow identical mechanisms at equilibrium. Since pericyclic reactions are equilibrium processes, the Woodward–Hoffmann selection rules apply equally to both directions. For instance, thermal ring-closure of octatriene via a suprafacial, disrotatory process reverses identically through the same pathway.
Q5: How is orbital symmetry conservation related to transition state energy in pericyclic reactions?
Orbital symmetry conservation determines whether a pericyclic reaction proceeds via a low or high-energy transition state. When reactant and product molecular orbitals have matching symmetry characteristics, the reaction is symmetry-allowed and stabilized by a low-energy transition state. Conversely, mismatched symmetry destabilizes the transition state, making the reaction symmetry-forbidden and kinetically unfavorable.
Q6: How do you apply the (4q + 2)s and (4r)a formula to determine if a reaction is thermally allowed?
Identify all suprafacial and antarafacial components in the pericyclic reaction, then count their electrons using the (4q + 2) and (4r) categories where q and r are integers. Add the total number of electrons in suprafacial and antarafacial components. If the sum is odd, the thermal reaction is symmetry-allowed. If even, it is symmetry-forbidden and requires photochemical activation.
Q7: What role does the HOMO orbital symmetry play in determining the stereochemistry of electrocyclic reactions?
The ground-state HOMO orbital symmetry determines the stereochemical pathway of electrocyclic reactions. For octatriene, the HOMO has symmetric terminal lobes, dictating a suprafacial, disrotatory bond formation pathway. This orbital symmetry characteristic directly controls whether the reaction proceeds through conrotatory or disrotatory ring closure or opening.