[en] Calculations of electron-impact excitation cross sections for molecular hydrogen have been performed using spherical- and spheroidal-coordinate formulations of the molecular convergent close-coupling method. We present a comparison and find good agreement between the results of these two techniques performed within the fixed-nuclei approximation for excitation from the ground X¹Σ_g⁺ (v = 0) state of H₂ to the B¹Σ_u⁺ , C ¹Π_u, B′¹Σ_u⁺ , D ¹Π_u, EF¹Σ_g⁺ , b³Σ_u⁺ , c³Π_u⁺ , a³Σ_u⁺ , e³Σ_u⁺ , h³Σ_g⁺ , and d ³Π_u states. For the spheroidal-coordinate approach the adiabatic-nuclei method has been applied, allowing for a more reliable estimate of cross sections at near-threshold energies. Comparison of the adiabatic-nuclei cross sections with the corresponding fixed-nuclei cross sections is also presented.

[en] Vibrational excitations of ${\mathrm{H}}_2(X{}^1{\mathrm{\Sigma <!--\; ??\; -->}}_g^{+},v_i=0-<!--\; ???\; -->14)$ are investigated via the electron-impact excitation of the $B{}^1{\mathrm{\Sigma <!--\; ??\; -->}}_u^{+}$, $C{}^1{\mathrm{\Pi <!--\; ??\; -->}}_u$, $B^{\mathrm{\prime <!--\; ???\; -->}}{}^1{\mathrm{\Sigma <!--\; ??\; -->}}_u^{+}$, $D{}^1{\mathrm{\Pi <!--\; ??\; -->}}_u$, and $E,F{}^1{\mathrm{\Sigma <!--\; ??\; -->}}_g^{+}$ states followed by radiative cascade to the vibrational bound and free (continuum) levels of the electronic ground state. The adiabatic-nuclei convergent close-coupling formalism is utilized to calculate cross sections from threshold to 500 eV. Results are in qualitative agreement with previous calculations, however absolute values differ significantly. (paper)

[en] We present calculations of vibrationally resolved cross sections for excitation of the $B{}^1{\mathrm{\Sigma <!--\; ??\; -->}}_u^{+}$, $C{}^1{\mathrm{\Pi <!--\; ??\; -->}}_u$, $B^{\mathrm{\prime <!--\; ???\; -->}}{}^1{\mathrm{\Sigma <!--\; ??\; -->}}_u^{+}$, $D{}^1{\mathrm{\Pi <!--\; ??\; -->}}_u$, and $E,F{}^1{\mathrm{\Sigma <!--\; ??\; -->}}_g^{+}$ electronic states of molecular hydrogen. Here we apply the adiabatic nuclei convergent close-coupling method formulated in two-center prolate spheroidal coordinates. We find significant disagreement with previous calculations, where available. (paper)

[en] We present a comprehensive set of vibrationally-resolved cross sections for electron-impact electronic excitation of the isotopologues of molecular hydrogen (D₂, T₂, HD, HT, and DT) initially in the ground electronic state. We apply the adiabatic-nuclei molecular convergent close-coupling (MCCC) method to calculate cross sections from threshold to 500 eV for excitation of all bound vibrational levels and dissociative excitation of the $B{}^1{\Sigma }_u^{+}$, $C{}^1{\Pi }_u$, $EF{}^1{\Sigma }_g^{+}$, $B^{\prime }{}^1{\Sigma }_u^{+}$, $GK{}^1{\Sigma }_g^{+}$, $I{}^1{\Pi }_g$, $J{}^1{\Delta }_g$, $D{}^1{\Pi }_u$, $H{}^1{\Sigma }_g^{+}$, $b{}^3{\Sigma }_u^{+}$, $c{}^3{\Pi }_u$, $a{}^3{\Sigma }_g^{+}$, $e{}^3{\Sigma }_u^{+}$, $d{}^3{\Pi }_u$, $h{}^3{\Sigma }_g^{+}$, $g{}^3{\Sigma }_g^{+}$, $i{}^3{\Pi }_g$, and $j{}^3{\Delta }_g$ electronic states from all bound vibrational levels of the ground electronic ($X{}^1{\Sigma }_g^{+}$) state. Including the previously-published MCCC e-H₂ cross sections (Scarlett et al., Atom. Data Nucl. Data Tables 137 (2021) 101361) the data set contains cross sections for over 60,000 electronic and vibrational transitions. The cross sections are presented in graphical form and provided as both numerical values and analytic fit functions in supplementary data files. The data can also be downloaded from the MCCC database at mccc-db.org.