In the original publication, in eqs S7 and S8 in the Supporting Information, the sign of the dipole contribution to the ωFQFμ induced electric potential and field is incorrect. The correct formula for the induced electric potential (eq S7 in the SI) at a generic point rj reads as follows: (formula presented) (a) ωFQFμ absorption cross sections σabs (nm2) and electric field enhancements (|E|/|E0|) calculated for the nanocavity (top) and picocavity (bottom), (b) Graphical depiction of nanocavity (top) and picocavity (bottom) induced density calculated at the plasmon resonance frequency (PRF), (c, d) 2D color map of nanocavity (top) and picocavity (bottom) induced density (c) and electric field enhancement (d) in a zoomed region in the middle yz plane (see green highlighted region in b panel). Gold atoms are shown using their van der Waals radius (1.66 Å). Panels (b) and (c) are unchanged. Panels (a) and (d) are computed with the corrected sign of the dipole contribution to the induced field.2D color map of the ratio between picocavity and nanocavity electric field enhancement in a zoomed region of the yz plane containing the picocavity adatom. A and B highlight the two depletion zones. Gold atoms are shown using their van der Waals radius (1.66 Å).(a) 2D color map of picocavity induced density. (b) 2D color map of picocavity electric field enhancement computed at ωFQFμ level (top) and by using an analytical model representing the induced density as a plate capacitor and two point charges (middle) or two Gaussian-shaped charges (bottom), placed at the white points in panels (a) and (b). Panel (a) is unchanged. Panel (b) is computed with the corrected sign of the dipole contribution to the induced field. Panels (c) and (d) are computed using the parameters reported in the corrected Table S1.(a) Graphical depiction of the picocavity with vacancy considered in this work. (b) ωFQFμ absorption cross sections σabs (nm2) and electric field enhancements (|E|/|E0|) calculated for the considered nanocavity (top) and picocavity (bottom). (c, d) 2D color map of picocavity with vacancy (bottom) induced density (c) and electric field enhancement (d) in a zoomed region in the middle yz plane of the nanostructure (see green highlighted region in b panel). Gold atoms are shown using their van der Waals radius (1.66 Å). Panels (b) and (c) are unchanged. Panes (a) and (d) are computed with the corrected sign of the dipole contribution to the induced field.2D color map of the ratio between picocavity with vacancy and nanocavity electric field enhancement in a zoomed region of the yz plane containing the picocavity adatom. A and B highlight the two depletion zones. Gold atoms are shown using their van der Waals radius (1.66 Å).ωFQFμ (a) absorption cross sections σabs and (b) electric field enhancements (|E|/|E0|) calculated for the nanocavity (nano) and picocavity (pico). Panel (a) is unchanged. Panel (b) is computed with the corrected sign of the dipole contribution to the induced field.2D color map of the ratio between picocavity and nanocavity electric field enhancement in a large region of the yz plane containing the picocavity adatom. A and B highlight the two depletion zones. Gold atoms are shown using their van der Waals radius (1.66 Å).ωFQFμ (a) induced density and (b) induced electric field enhancement |E|/|E0| for the nanocavity (top) and picocavity (bottom), computed at ω = 6.48 eV; (c) ratio between the picocavity and nanocavity field enhancement, |Epico|/|Enano|, in a zoomed region of the yz plane containing the adatom. A denotes the depletion zone above the adatom. The induced electric field at a generic point rj can be calculated as (formula presented).

Correction to “The Electric Field Morphology of Plasmonic Picocavities”

Giovannini, Tommaso
;
Nicoli, Luca;Corni, Stefano;Cappelli, Chiara
2026

Abstract

In the original publication, in eqs S7 and S8 in the Supporting Information, the sign of the dipole contribution to the ωFQFμ induced electric potential and field is incorrect. The correct formula for the induced electric potential (eq S7 in the SI) at a generic point rj reads as follows: (formula presented) (a) ωFQFμ absorption cross sections σabs (nm2) and electric field enhancements (|E|/|E0|) calculated for the nanocavity (top) and picocavity (bottom), (b) Graphical depiction of nanocavity (top) and picocavity (bottom) induced density calculated at the plasmon resonance frequency (PRF), (c, d) 2D color map of nanocavity (top) and picocavity (bottom) induced density (c) and electric field enhancement (d) in a zoomed region in the middle yz plane (see green highlighted region in b panel). Gold atoms are shown using their van der Waals radius (1.66 Å). Panels (b) and (c) are unchanged. Panels (a) and (d) are computed with the corrected sign of the dipole contribution to the induced field.2D color map of the ratio between picocavity and nanocavity electric field enhancement in a zoomed region of the yz plane containing the picocavity adatom. A and B highlight the two depletion zones. Gold atoms are shown using their van der Waals radius (1.66 Å).(a) 2D color map of picocavity induced density. (b) 2D color map of picocavity electric field enhancement computed at ωFQFμ level (top) and by using an analytical model representing the induced density as a plate capacitor and two point charges (middle) or two Gaussian-shaped charges (bottom), placed at the white points in panels (a) and (b). Panel (a) is unchanged. Panel (b) is computed with the corrected sign of the dipole contribution to the induced field. Panels (c) and (d) are computed using the parameters reported in the corrected Table S1.(a) Graphical depiction of the picocavity with vacancy considered in this work. (b) ωFQFμ absorption cross sections σabs (nm2) and electric field enhancements (|E|/|E0|) calculated for the considered nanocavity (top) and picocavity (bottom). (c, d) 2D color map of picocavity with vacancy (bottom) induced density (c) and electric field enhancement (d) in a zoomed region in the middle yz plane of the nanostructure (see green highlighted region in b panel). Gold atoms are shown using their van der Waals radius (1.66 Å). Panels (b) and (c) are unchanged. Panes (a) and (d) are computed with the corrected sign of the dipole contribution to the induced field.2D color map of the ratio between picocavity with vacancy and nanocavity electric field enhancement in a zoomed region of the yz plane containing the picocavity adatom. A and B highlight the two depletion zones. Gold atoms are shown using their van der Waals radius (1.66 Å).ωFQFμ (a) absorption cross sections σabs and (b) electric field enhancements (|E|/|E0|) calculated for the nanocavity (nano) and picocavity (pico). Panel (a) is unchanged. Panel (b) is computed with the corrected sign of the dipole contribution to the induced field.2D color map of the ratio between picocavity and nanocavity electric field enhancement in a large region of the yz plane containing the picocavity adatom. A and B highlight the two depletion zones. Gold atoms are shown using their van der Waals radius (1.66 Å).ωFQFμ (a) induced density and (b) induced electric field enhancement |E|/|E0| for the nanocavity (top) and picocavity (bottom), computed at ω = 6.48 eV; (c) ratio between the picocavity and nanocavity field enhancement, |Epico|/|Enano|, in a zoomed region of the yz plane containing the adatom. A denotes the depletion zone above the adatom. The induced electric field at a generic point rj can be calculated as (formula presented).
2026
Settore CHEM-02/A - Chimica fisica
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11384/175377
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