benis_2004 ========== E\. P\. Benis, J\. F\. Xia, X\. M\. Tong, M\. Faheem, M\. Zamkov, B\. Shan, P\. Richard and Z\. Chang, "Ionization suppression of Cl2 molecules in intense laser fields", Phys\. Rev\. A 70, 025401 \(2004\) `Source record `__ · :doc:`Catalogue ` · :doc:`Review register ` DOI: `10\.1103/PhysRevA\.70\.025401 `__ **Source kind:** measurement **Recorded technique:** Ion yields of Cl2 and Xe from an equal\-pressure mixture, resolved along the axis of the focus by imaging and separated by time of flight; 790 nm, 44 fs in the chamber \(25 fs from the laser\), linear polarisation, 51 uJ, f = 25 cm \(pp\. 1\-2\)\. The yields are converted to ionisation probabilities by Eq\. \(1\) and compared with a rate the paper names the molecular PPT \(MO\-PPT\) model, Eq\. \(2\)\. **Materials in structured entries:** None recorded. **Dataset quantities:** None recorded. **Contents:** 0 datasets; 1 formula. Curation notes -------------- Pages are journal pages \(a four\-page Brief Report\)\. Identity checked on the first page\. There are no tables\: the yields and probabilities are in Figs\. 2 and 3 only, in arbitrary units and against an intensity obtained from the geometry of the focus, with no stated uncertainty\. Cl2 is not a curated species\. No dataset is taken; the record holds the formula, which is the first statement of a molecular rate with a dependence on the frequency \(the register's entry on the molecular PPT rates\)\. WHAT THE FORMULA LEAVES OPEN\. A\_m\(omega, gamma\) and g\(gamma\) 'are two correction factors to the ADK model, which can be found at Refs\. \[3,6\]' \(p\. 3; Perelomov, Popov & Terent'ev 1966 and Talebpour, Larochelle & Chin 1998\)\: they are not written out\. One m is printed, with no sum and no rotation of the molecule\. No average over a cycle is printed\. No structure coefficients of Cl2 are given\. The ionisation energies quoted \(p\. 1; D2 15\.467, O2 12\.070, Ar 15\.764, Xe 12\.13, N2 15\.581, F2 15\.697, Cl2 11\.48 eV\) are not said to be vertical or adiabatic\. THE COMPARISON\. 'A reasonable agreement of the MO\-PPT calculations with the measurements is seen' \(pp\. 3\-4\); no number is given\. 'When gamma \-\> 0, the equation goes back to the ADK rate' \(p\. 3; the library's text has 'g \-\> 0'\)\. The library's text also has 'CO\:Ar' where the page has 'CO\:Kr' \(p\. 1\) and '51 mJ' for 51 uJ \(Fig\. 3's caption\)\. **Recorded bibliographic identity status:** VALIDATED. This concerns identification of the source; it does not establish the scientific correctness of its contents. Datasets -------- No datasets are recorded. Formulas -------- benis\_2004/eq2\_mo\_ppt ~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "eq2_mo_ppt", "equation": "Eq. (2), p. 3", "printed": "w(omega, F) = [B^2(m)/(2^|m| |m|!)] [A_m(omega, gamma)/kappa^(2Z_c/kappa - 1)] e^(-(2 kappa^3/3F) g(gamma)) (2 kappa^3/(F sqrt(1 + gamma^2)))^(2Z_c/kappa - |m| - 1)", "variable": "Atomic units. F: amplitude of the field; kappa = sqrt(2 I_p); Z_c: the charge of the ion; B(m): the structure factor of the molecular tunnelling theory of Tong, Zhao & Lin 2002; gamma = sqrt(I_p/2U_p), the Keldysh parameter; A_m and g: the functions of Perelomov, Popov & Terent'ev 1966, not written out in the paper", "range": "Not stated; used at gamma > 1 ('Our present laser intensity is lower than 10^14 W/cm2 and therefore gamma > 1', p. 3)", "coefficients": {}, "reproduced_from": [ "A. M. Perelomov, V. S. Popov and M. V. Terent'ev, Sov. Phys. JETP 23, 924 (1966)", "tong_2002" ], "check": "Checked against the page image (p. 3), 2026-09-28. With the exponent split, (2 kappa^3/F)^(2n* - |m| - 1) (1 + gamma^2)^(-n* + |m|/2 + 1/2), n* = Z_c/kappa: against the rate of Perelomov et al. with Perelomov & Popov's Coulomb factor, whose power of (1 + gamma^2) is |m|/2 + 3/4 (perelomov_1967, larochelle_1998), it carries a further (1 + gamma^2)^(-n* - 1/4), and lacks the factor of the cycle average." } 'We will refer to the PPT model as the molecular PPT, or MO\-PPT model' \(p\. 3\)\. The factor \(1 \+ gamma^2\)^\(\-n\*\) is that of Ilkov et al\.'s form of the atomic rate \(ilkov\_1992, eq\. 8\), which Perelomov & Popov's Coulomb correction does not have\. zhao\_2014's eq\. \(13\), as corrected by its corrigendum, is this equation\. 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.