Interference effects in the photoionization of molecular hydrogen

Nagy, L.; Borbély, S.; Póra, K.

doi:10.1016/j.physleta.2004.06.001

Cited by 20 publications

(16 citation statements)

References 22 publications

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“…5(c) for the + g and + u states of H 2 and H 2 + at perpendicular linear ionization. This has been assigned to the contributions of l 3 angular momentum states [28,29] in the continuum. We note that already for the H 2 + A 2 + u state at λ = 10 nm, R e =1.675 a.u., the sin(pR cos θ pR /2) term is maximum at θ pR = 45 • since pR/2 = πR/λ e = 0.7π (Table I).…”

Section: Resultsmentioning

confidence: 99%

“…The 2D H 2 involves a 4D TDSE as compared to a 2D TDSE for H 2 + . Such exact numerical simulations are gauge-independent and thus avoid the ambiguities arising in gauge-dependent perturbation calculations [28,29]. Numerical methods show consistently gauge invariance in high-order harmonic generation and photoionization simulations of the H atom in ultrashort intense laser pulses [30,31].…”

Section: Introductionmentioning

confidence: 87%

See 1 more Smart Citation

Linear- and circular-polarization photoionization angular distributions inH2andH2+
Yuan
¹
,
Lu
²
,
Bandrauk
³

2011
Phys. Rev. A
76
2
55
0
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Numerical solutions of the time-dependent Schrödinger equation, using a new unitary numerical method, are used to obtain gauge-independent photoionization angular distributions for two-dimensional (planar) models of aligned H 2 and H 2 + molecules in different electronic states. Simulations are performed with few-cycle attosecond (as) extreme-ultraviolet (xuv) laser pulses at wavelengths λ = 10 nm [ω = 4.56 a.u. (atomic units), τ = 2π/ω = 1.38 a.u. = 33.4 as], and λ = 5 nm (ω = 9.11 a.u., τ = 16.7 as) for linear and circular polarization ionizations at R e = 1.675 a.u., where molecular orbital configurations dominate for which the electron wavelengths λ e R e and at large internuclear distance R = 10 a.u. (λ e < R) where Heitler-London atomic configurations including ionic states H + H − are more appropriate. The simulations allow one to investigate the effects of electron correlation and entanglement in H 2 at different R due to electron spin exchange as compared to the delocalized one-electron H 2 + system. An ultrashort (delta function) pulse model is used to interpret interferences in momentum distributions.

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Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 87%

Linear- and circular-polarization photoionization angular distributions inH2andH2+
Yuan
¹
,
Lu
²
,
Bandrauk
³

2011
Phys. Rev. A
76
2
55
0
View full text Add to dashboard Cite

show abstract

“…Interference has been evidenced experimentally [2][3][4][5] and has been investigated theoretically [6][7][8][9][10] by several groups for the charged particle impact ionization. In case of the photoionization there are mainly theoretical descriptions [11,12], but interference can be evidenced from the published experimental data [13], as it was shown in [14].…”

Section: Introductionmentioning

confidence: 99%

“…In our previous studies [6,14], in order to perform the calculations analytically, the final states have been described by plane waves, and the interference pattern was governed only by the two-center character of the initial wavefunction. The experimental study of Stolterfoht et al [4] suggested that the details of the interference effects may be influenced by the two-center character of the final state.…”

Section: Introductionmentioning

confidence: 99%

Interference effects in the ionization of diatomic molecules

Nagy¹,

Borbély²,

Póra³

2006

Braz. J. Phys.

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Interference effects in the ionization of H 2 by charged particle and photon impact have been investigated. For the charged particle impact the influence of the residual molecule on the final state has been taken into account in a perturbative way. In case of the photoionization various final-state wavefunctions have been used. The effects of the molecular orientation on the differential photoionization cross sections and the contribution of different partial waves have been also analyzed.

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“…The primary photoelectron is ejected predominantly along the polarization axis of light and its geometrical interference factor is most sensitive to the internuclear distance in the parallel ( ) orientation of the internuclear and polarization axes. This explains a deep interference minimum in the dipole channel of single photoionization of H 2 in the parallel field orientation [20,21]. However, it is in the DPI process that this interference can be detected most efficiently.…”

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confidence: 99%

Single-photon double ionization of H2away from equilibrium: A showcase of two-center electron interference

2012

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We demonstrate the effect of two-center interference on single-photon double ionization [double photoionization (DPI)] of the aligned H 2 molecule when it shrinks or expands from the equilibrium internuclear distance. This interference affects the first stage of the DPI process in which the primary photoelectron is ejected predominantly along the polarization axis of light and its geometrical interference factor is most sensitive to the internuclear distance in the parallel ( ) orientation of the internuclear and polarization axes. This effect is responsible for strong modification of the DPI amplitude in the parallel orientation while the corresponding amplitude for the perpendicular ( ) orientation is rather insensitive to the internuclear distance. The combination of these two factors explains the profound kinetic energy release effect on the fully differential cross sections of DPI of H 2 .The two-center electron interference in photoionization of diatomic molecules was predicted theoretically as early as in the 1960s [1,2]. However, experimental observations of this seemingly simple effect proved to be elusive. It was not until very recently that this effect was detected in the form of oscillations in the corresponding vibrational ratios of the angleintegrated photoionization cross sections of H 2 , N 2 , and CO [3,4]. The earlier measurements of the angle differential cross sections of single-photon two-electron ionization (double photoionization or DPI) on H 2 with circular polarized light [5][6][7] were originally interpreted in terms of the two-center interference. However, these measurements were later explained by mixing of two nondiffractive contributions of circularly polarized light [8]. The two-center interference interpretation of the DPI measurements is only appropriate at substantially higher photon energies that are not yet explored experimentally.In the meantime, experimental observations of DPI of H 2 in the molecular frame showed a clear dependence on the internuclear separation R accessible in the vibrational ground state [1.1-1.7 a.u. at full width at half maximum (FWHM)]. The authors of the pioneering works [9,10] reported a set of fully differential cross sections (FDCS) resolved with respect to the kinematics of the two ejected electrons and the kinetic energy release (KER) available to the two protons after the molecule breaks up. The corresponding internuclear distance is simply R = 1/KER. The original experimental data were later revised [11] and subsequently found in fair agreement with numerical calculations using the exterior complex scaling (ECS) [12] and the time-dependent close-coupling (TDCC) [13] methods performed at the corresponding R values.The KER effect on the FDCS was attributed to pronounced differences in the R dependence of the parallel e R ( ) and perpendicular e ⊥ R ( ) components of the DPI amplitude [12]. Here, e and R are the polarization and internuclear axes, respectively. The contribution of the parallel ( ) component had a minimum in the range of internuclea...

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Interference effects in the photoionization of molecular hydrogen

Cited by 20 publications

References 22 publications

Linear- and circular-polarization photoionization angular distributions inH2andH2+
Yuan
¹
,
Lu
²
,
Bandrauk
³

2011
Phys. Rev. A
76
2
55
0
View full text Add to dashboard Cite

Linear- and circular-polarization photoionization angular distributions inH2andH2+
Yuan
¹
,
Lu
²
,
Bandrauk
³

2011
Phys. Rev. A
76
2
55
0
View full text Add to dashboard Cite

Interference effects in the ionization of diatomic molecules

Single-photon double ionization of H2away from equilibrium: A showcase of two-center electron interference

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Interference effects in the photoionization of molecular hydrogen

Cited by 20 publications

References 22 publications

Linear- and circular-polarization photoionization angular distributions inH2andH2+Yuan1, Lu2, Bandrauk3 2011Phys. Rev. A762550View full textAdd to dashboardCite

Linear- and circular-polarization photoionization angular distributions inH2andH2+Yuan1, Lu2, Bandrauk3 2011Phys. Rev. A762550View full textAdd to dashboardCite

Interference effects in the ionization of diatomic molecules

Single-photon double ionization of H2away from equilibrium: A showcase of two-center electron interference

Contact Info

Product

Resources

About

Linear- and circular-polarization photoionization angular distributions inH2andH2+
Yuan
¹
,
Lu
²
,
Bandrauk
³

2011
Phys. Rev. A
76
2
55
0
View full text Add to dashboard Cite

Linear- and circular-polarization photoionization angular distributions inH2andH2+
Yuan
¹
,
Lu
²
,
Bandrauk
³

2011
Phys. Rev. A
76
2
55
0
View full text Add to dashboard Cite