Excitation of N V by electron impact

Collision Strengths for Electron Excitation of Coronal Ions

“…This transformation has, to date, been applied only to Fexv, configurations 3s 2 and 3s 3p, with the results shown in Table VII. (Bely, 1966a, b;Bely and Petrini, 1970) c = Strong coupling with exchange (Burke et at., 1966) d = Five-state close coupling without exchange (Burke et al, 1966)…”

“…The atomic structure programme is written in a configuration interaction representation and uses a scaled Thomas-Fermi potential as described by Eissner and Nussbaumer (1969). The bound state wave functions generated by the structure programme are used by the collision programme (Eissner, 1970) to calculate the .R-matrix solution of the collision problem by means of the distorted wave approximation (Saraph et al, 1969). This approximation should be valid for highly ionized ions such as exist in the corona and this prediction is fully confirmed where comparison can be made with calculations using the more rigorous but more time-consuming close coupling method (Burke et al, 1966;Petrini, 1969).…”

Algorithms for the solution of systems of coupled second-order ordinary differential equations

“…. and V._ without the k^ term 2 Graph (5) Dependence of 6 (k ) on the structure 2 Graph (6) Dependence of 6 (k ) on the parameter H when Numerov is used and the structure remains fixed 2 Graph 7Dependence of 6 (k ) on the parameter RA 2 Graph (8) Comparison of 6 (k ) when a fourth order and fifth order interpolating method is used in conjunction with Numerov 2 Graph (9) Comparison of 6 (k ) when the fourth order Runge-Kutta is used along with a truncation error estimate, and the fourth order Runge-Kutta 2 Graph (10) Error in calculated 6 (k ) versus the value of IRN Graph (11) Stabalizing effect of IRN initial small intervals 2 Graph (12) Comparison of 6 (k ) for Numerov and DeVogelaere Graph (13) Comparison of the direct usage of Runge-Kutta on the second order equations and the prior reduction usage 2 Graph (14) Error in the calculated 6 (k ) versus IRN for DeVogelaere with interval length of .02 atomic units (1.1) One of the most useful approximation schemes is to expand the overall wave function of the system, consisting of the projectile plus target, in terms of the complete set of eigenstates of the target Hamiltonian. This method, called the Close-Coupling Method, was first introduced by Massey and Mohr [1] and has since been shown by Feshbacht2-4] to give rise naturally to resonances of the closed channel type.…”

“…On varying the value of IRN from 3 to 35 and using the usual H, we get a tremendous stabalizing effect (see graph (10,11) ) . This is of great importance for a number of reasons;…”

“…Stability considerations demand that the initial intervals should be quite small; graphs (10,11) indicate that the optimum length between pivotal points is .004 atomic units for approximately 35 such initial intervals. We may then increase the distance between the points where the function values are calculated to .01 atomic units.…”