Ref. 1 contains an error in the expression linking 〈NP0|E(-)(R)|NPv〉 and 〈NP0|E(+)(R)|NPv〉 transition electric fields in terms of the transformation T, given in Sec. II D 1. In particular, the last two sentences of the last paragraph of Sec. II D 1 should be replaced by "The transition electric field 〈NP0|E(-)(R)|NPv〉 can be readily obtained in terms of a rotation T of the spatial coordinates R around the x axis, defined by its applications Tex = ex and Tey = ez. Hence 〈NP0|E(-)(R)|NPv〉 = -iT-1〈NP0|E(+)(TR)|NPv〉." As a consequence, Eq. (42) and the numerical results reported in Figs. 4 and 5 should be amended. Eq. (42) should read kavgRET = 2/3 πJ|〈M|d|M∗〉|2|〈NP0|E(+)(R)|NPv〉|2 + |〈NP0|E(+)(TR)|NPv〉|2. (42) We include in this erratum the new version of Figs. 4 and 5 reporting the correct results (captions unchanged). The trends are the same and only quantitative differences are present. The discussion and the conclusions of the article are not affected by this change. (Figure Presented). In the following, we take the opportunity to correct a few typing mistakes present in the manuscript. These errors do not affect the results.We list them in order of appearance: • In the last sentence of the first paragraph of Sec. II B, we inverted the order of the involved spectra. The actual sentence reads "J is the spectral overlap between the emission and absorption spectra of the donor and the acceptor, respectively, accounting for the vibronic coupling within the separated segments.19" • In Eqs. (12), (15), and (17), the dielectric constant is missing. They shall be re-written as Ṽ = - 3(dD · R)(dA · R)/R2 - dD · dA/ϵR3, (12) E(r;R) = 1/ϵ∇' [1/|r r'|]|r'=R' (15), E(r;R) = 1/ϵ ∑ l,m 4π/2l + 1 rl Ylm(ω) Glm(R). (17) • In Eqs. (25) and (26), the sign and the p/i order are inverted. The corrected expressions are 〈NP0|Ẽ (R) |NPv〉 = ∑i,p Cipv 〈p|E|i〉, (25) 〈NP0|d|NPv〉 = ∑i,p Cipv 〈p|r|i〉. (26) • In the first sentence of the last paragraph of Sec. II C should be written 〈i|e · pcv|p〉 instead of i|e · pcv|p〉. · In the last sentence of the first paragraph of Sec. II D 2, we mistyped "1/3" instead of the correct "2/3." This is not connected with the amendment of Eq. (42). The phrase with the corrected inline expression is "Using ∫π0 d(cos(α))cos2(α) = 2/3, we get" • In the third sentence of the penultimate paragraph of Sec. IV, there is a misplaced "not." The actual sentence should read "Additionally, RET rate is usually integrated over absorption peaks corresponding to nearly degenerate transitions.".

Erratum: Excitation energy-transfer in functionalized nanoparticles: Going beyond the Förster approach (The Journal of Chemical Physics (2016) 144 (074101) DOI: 10.1063/1.4941565) / Gil, G; Corni, Stefano; Delgado, A; Bertoni, Andrea; Goldoni, Guido. - In: THE JOURNAL OF CHEMICAL PHYSICS. - ISSN 0021-9606. - STAMPA. - 145:(2016), pp. 089902-089902. [10.1063/1.4961651]

Erratum: Excitation energy-transfer in functionalized nanoparticles: Going beyond the Förster approach (The Journal of Chemical Physics (2016) 144 (074101) DOI: 10.1063/1.4941565)

CORNI, STEFANO;BERTONI, Andrea;GOLDONI, Guido
2016

Abstract

Ref. 1 contains an error in the expression linking 〈NP0|E(-)(R)|NPv〉 and 〈NP0|E(+)(R)|NPv〉 transition electric fields in terms of the transformation T, given in Sec. II D 1. In particular, the last two sentences of the last paragraph of Sec. II D 1 should be replaced by "The transition electric field 〈NP0|E(-)(R)|NPv〉 can be readily obtained in terms of a rotation T of the spatial coordinates R around the x axis, defined by its applications Tex = ex and Tey = ez. Hence 〈NP0|E(-)(R)|NPv〉 = -iT-1〈NP0|E(+)(TR)|NPv〉." As a consequence, Eq. (42) and the numerical results reported in Figs. 4 and 5 should be amended. Eq. (42) should read kavgRET = 2/3 πJ|〈M|d|M∗〉|2|〈NP0|E(+)(R)|NPv〉|2 + |〈NP0|E(+)(TR)|NPv〉|2. (42) We include in this erratum the new version of Figs. 4 and 5 reporting the correct results (captions unchanged). The trends are the same and only quantitative differences are present. The discussion and the conclusions of the article are not affected by this change. (Figure Presented). In the following, we take the opportunity to correct a few typing mistakes present in the manuscript. These errors do not affect the results.We list them in order of appearance: • In the last sentence of the first paragraph of Sec. II B, we inverted the order of the involved spectra. The actual sentence reads "J is the spectral overlap between the emission and absorption spectra of the donor and the acceptor, respectively, accounting for the vibronic coupling within the separated segments.19" • In Eqs. (12), (15), and (17), the dielectric constant is missing. They shall be re-written as Ṽ = - 3(dD · R)(dA · R)/R2 - dD · dA/ϵR3, (12) E(r;R) = 1/ϵ∇' [1/|r r'|]|r'=R' (15), E(r;R) = 1/ϵ ∑ l,m 4π/2l + 1 rl Ylm(ω) Glm(R). (17) • In Eqs. (25) and (26), the sign and the p/i order are inverted. The corrected expressions are 〈NP0|Ẽ (R) |NPv〉 = ∑i,p Cipv 〈p|E|i〉, (25) 〈NP0|d|NPv〉 = ∑i,p Cipv 〈p|r|i〉. (26) • In the first sentence of the last paragraph of Sec. II C should be written 〈i|e · pcv|p〉 instead of i|e · pcv|p〉. · In the last sentence of the first paragraph of Sec. II D 2, we mistyped "1/3" instead of the correct "2/3." This is not connected with the amendment of Eq. (42). The phrase with the corrected inline expression is "Using ∫π0 d(cos(α))cos2(α) = 2/3, we get" • In the third sentence of the penultimate paragraph of Sec. IV, there is a misplaced "not." The actual sentence should read "Additionally, RET rate is usually integrated over absorption peaks corresponding to nearly degenerate transitions.".
145
089902
089902
Erratum: Excitation energy-transfer in functionalized nanoparticles: Going beyond the Förster approach (The Journal of Chemical Physics (2016) 144 (074101) DOI: 10.1063/1.4941565) / Gil, G; Corni, Stefano; Delgado, A; Bertoni, Andrea; Goldoni, Guido. - In: THE JOURNAL OF CHEMICAL PHYSICS. - ISSN 0021-9606. - STAMPA. - 145:(2016), pp. 089902-089902. [10.1063/1.4961651]
Gil, G; Corni, Stefano; Delgado, A; Bertoni, Andrea; Goldoni, Guido
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