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The major limitation in the development of hybrids based on graphene oxide (GO) and porphyrins is their dispersibility and stability in aqueous systems due to the hydrophobic character induced by porphyrins.
Analogously to the exchange of ground-state character induced by anisotropic confinement and shear strain fields, this effect can be also produced by electronic coupling between nearest-neighboring QDs, an effect that leads to the enhancement of the effective value 〈 D [ 0 1 ¯ 1 ] 〉.
If G has exactly one irreducible character induced from irreducible characters of G ′, then G is isomorphic to the group listed in (7) or A 4, the alternating group of degree 4. By the same arguments as in Subcase 2.1, one has that there exists at most one zero in each column of the character table of G ′.
The studied molecules have a dipolar character induced by polar and electron donating or accepting tail-group substituents.
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This ylid character induces an heterolytic PC bond breaking with the unsaturated bridge.
If χ = θ G, then χ vanishes on G ∖ G ′, which implies that G has at most three irreducible characters induced from irreducible characters of G ′. Subcase 3.1.
G has exactly three irreducible characters induced from irreducible characters of G ′. Let β = λ G, α = μ G and γ = η G be the three irreducible characters, where β, α, γ ∈ Irr ( G ) and λ, μ, η ∈ Irr ( G ′ ).
G has exactly two irreducible characters induced from irreducible characters of G ′. Let β = λ G and α = μ G be the two irreducible characters, where β, α ∈ Irr ( G ) and λ, μ ∈ Irr ( G ′ ).
G has exactly two irreducible characters induced from irreducible characters of G ′. Let β, α be the two irreducible characters such that β = λ G and α = μ G, where β, α ∈ Irr ( G ) and λ, μ ∈ Irr ( G ′ ).
If χ = θ G, then χ vanishes on G ∖ G ′, which implies that G has at most three non-linear irreducible characters induced by those of G ′. Subcase 2.1.
G has exactly three irreducible characters induced from irreducible characters of G ′. Let β = λ G, α = μ G and γ = η G be the three irreducible characters such that β = λ G, α = μ G and γ = η G, where β, α, γ ∈ Irr ( G ) and λ, μ, η ∈ Irr ( G ′ ).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com