talebpour_1998 ============== A\. Talebpour, S\. Larochelle and S\. L\. Chin, "Suppressed tunnelling ionization of the D2 molecule in an intense Ti\:sapphire laser pulse", J\. Phys\. B\: At\. Mol\. Opt\. Phys\. 31, L49 \(1998\) `Source record `__ · :doc:`Catalogue ` · :doc:`Review register ` DOI: `10\.1088/0953\-4075/31/2/003 `__ **Source kind:** measurement **Recorded technique:** Ion yields against peak intensity of Ar\+, D2\+ and D\+ in 200 fs, 800 nm, linearly polarised Ti\:sapphire pulses \(the technique of Talebpour, Chien & Chin, J\. Phys\. B 29, 5725 \(1996\), not described here\), compared with the PPT rate \(Eq\. \(2\)\) integrated over the pulse and the focal volume\. For D2, a one\-dimensional quasi\-classical barrier along the field through one proton, in the single\-active\-electron potential built from Coulson's \(1938\) one\-electron wavefunction \(Eqs\. \(6\)\-\(8\)\), defines an angle\-dependent effective charge Z\_eff\(theta\) with the same barrier integral as an atom \(Eqs\. \(9\)\-\(10\)\); the PPT rate with Z\_eff\(theta\) is averaged over the hemisphere \(Eq\. \(11\)\) and weighted by Franck\-Condon factors \(Dunn 1966\) \(pp\. L50\-L56\)\. **Materials in structured entries:** D2 **Dataset quantities:** ionization\_model\_parameter **Contents:** 1 dataset; 0 formulas. Curation notes -------------- PDF pages 1\-11\: page 1 is the IOPscience download cover, PDF p\. 2 = journal p\. L49 \(pages cited are journal pages\)\. Identity checked on the first page\. The library's title field has lost 'D2' \('Suppressed tunnelling ionization of the molecule'\); the paper is about D2, not O2 \(the guess in the list of requested papers\)\: O2 does not appear in it\. EXTRACTED\: zeff\_D2, the orientation\-averaged effective charge 0\.72 \(p\. L56\), an ionization\_model\_parameter of the PPT rate \(Eq\. \(2\)\), use = check as talebpour\_1999's charges are\. It is computed, not fitted\: Z\_eff\(theta\) from Eq\. \(9\) at 1\.5e14 W/cm^2 \(its intensity dependence over 3e13\-4e14 W/cm^2 is 'weak \(less than 5% deviation from the mean value\)', p\. L55\), W\_PPT\(theta\) from Eq\. \(2\), and the hemispherical average of Eq\. \(11\); 'the TI rate of the D2 molecule is the same as that of an atom with a similar ionization potential, and with Z\_eff = 0\.72' \(p\. L56\)\. With the Franck\-Condon average the PPT yield agrees with the measured S\(D2\+\) \+ 0\.5 S\(D\+\) \('The agreement with experiment is excellent', p\. L56; Fig\. 2\)\. No uncertainty is stated\. solprop has no effective charge for H2 or D2 \(it uses MO\-ADK for them\); talebpour\_1999's N2 \(0\.9\) and O2 \(0\.53\) charges come from the same group and the same PPT form\. THE PPT FORM \(Eq\. \(2\), p\. L50, checked on the page image\)\: W\_PPT = \|C\_n\*l\*\|^2 f\_lm E\_i sqrt\(6/pi\) \(2\(2E\_i\)^\(3/2\)/F\)^\(2n\* \- \|m\| \- 3/2\) \(1 \+ gamma^2\)^\(\|m\|/2 \+ 3/4\) A\_m\(omega, gamma\) exp\(\-\(2\(2E\_i\)^\(3/2\)/\(3F\)\) g\(gamma\)\), n\* = Z\_eff/sqrt\(2E\_i\); g\(gamma\) Eq\. \(3\) as ilkov\_1992; f\_lm Eq\. \(4\); \|C\_n\*l\*\|^2 = 2^\(2n\*\)/\(n\* Gamma\(n\* \+ l\* \+ 1\) Gamma\(n\* \- l\*\)\) \(Eq\. \(5\)\); A\_m 'can be found in Perelomov et al \(1966\) and Ilkov et al \(1992\)'; 'This rate should be averaged over the different values of m' \(p\. L51\)\. The same form as larochelle\_1998's Eq\. \(10\)\. Against ilkov\_1992 Eq\. \(8\) \(corrected prefactor\), it lacks the factor \(1 \+ gamma^2\)^\(\-n\*\) \(ilkov\_1992 has \(2F0/\(F sqrt\(1 \+ gamma^2\)\)\)^\(2n \- \|m\| \- 3/2\) = \(2F0/F\)^\(2n \- \|m\| \- 3/2\) \(1 \+ gamma^2\)^\(\-n \+ \|m\|/2 \+ 3/4\)\)\: at gamma = 1 a factor 2^\(\-n\*\) \(about 0\.5 for n\* ~ 0\.94\) between the two\. l\* and the l, m used for D2 are not stated\. OTHER VALUES \(text, not taken\)\: the ionisation potentials used, D2 15\.46 eV and Ar 15\.76 eV \(p\. L50, uncited\); Ti\:sapphire frequency 0\.057 au; the rotation frequency omega\_0 = \(alpha F^2/\(mu R^2\)\)^\(1/2\) of D2 at 1e14 W/cm^2, 7\.9e\-4 au, a period 453 laser periods against ~70 in the pulse, so the molecules are randomly oriented \(Eq\. \(1\), Sukharev & Krainov, p\. L50\); the potential in Fig\. 3 at F = 0\.06 au and 20 degrees, the electron's ionisation energy 0\.57 au \(p\. L53\); Coulson's wavefunction, Eq\. \(7\), Psi\(xi, eta\) = 0\.877 58 e^\(\-0\.75 xi\) \(1 \+ 0\.277 87 eta^2 \- 0\.128 63 xi \+ 0\.012 503 xi^2 \- 0\.039 589 xi eta^2\), xi = \(r1 \+ r2\)/R, eta = \(r1 \- r2\)/R \(p\. L53; R not stated\)\. 'The ion signal \[of D2\] is 40 times lower than the ion signal of Ar' \(p\. L52\)\. NO\+ \(not curated\)\: Z\_eff = 2\.2 with the \-RF term 'is capable of fitting the experimental results' of Talebpour et al\. 1997c \(p\. L57\), and the earlier ~7 eV reduction of NO\+'s ionisation potential is withdrawn \(p\. L57\)\. FIGURES \(not digitised\)\: Fig\. 1, Ar\+, D2\+ and D\+ yields against intensity with the PPT Ar\+ curve \(the upper scale gamma of Ar\); Fig\. 2, S\(D2\+\) \+ 0\.5 S\(D\+\) with PPT curves for Z = 1, 0\.72, and 0\.72 with Franck\-Condon factors; Figs\. 3\-5, the potential; Fig\. 6, Z\_eff\(theta\) and W\_PPT\(theta\) at 1\.5e14 W/cm^2\. **Recorded bibliographic identity status:** VALIDATED\_WITH\_WARNINGS. This concerns identification of the source; it does not establish the scientific correctness of its contents. Datasets -------- talebpour\_1998/zeff\_D2 ~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "zeff_D2", "material": "D2", "table": "text", "quantity": "ionization_model_parameter", "unit": "1", "abscissa": "none", "use": "check", "parameters": { "model": "ppt", "parameter": "Z_eff", "wavelength_nm": 800, "intensity_w_per_cm2": 150000000000000.0 } } 1 inline points in the source record. p\. L56\: the orientation\-averaged effective charge of the PPT rate \(Eq\. \(2\)\) for D2 \(E\_i = 15\.46 eV\), from Z\_eff\(theta\) computed with Eqs\. \(8\)\-\(10\) at 1\.5e14 W/cm^2, 800 nm, and the hemispherical average of W\_PPT\(theta\) \(Eq\. \(11\)\)\. Computed, not fitted \(record notes\); the l and m used are not stated\. No uncertainty is stated\. Formulas -------- No formulas are recorded. Corrections ----------- No dataset errata are recorded in this source record. Formula corrections, where recorded, appear with their formulas above. Curation notes may also discuss corrections or unresolved interpretation. Consult the :doc:`review register ` for the checks and decisions.