ADAS Subroutine gbb
FUNCTION GBB(EN,EN1,X2,X) C----------------------------------------------------------------------- C C PURPOSE: TO EVALUATE THE BOUND BOUND GAUNT FACTOR USING THE C EXPRESSION OUTLINED BY BURGESS.A AND SUMMERS.H.P [1]. C C BACKGROUND: THE BOUND BOUND GAUNT FACTOR IS USED IN THE C EVALUATION OF THE EINSTEIN A COEFFICIENT. THE C EINSTEIN A COEFFICIENT IS USUALLY EXPRESSED IN C TERMS OF THE UPWARD OSCILLATOR STRENGTH [2]. C HOWEVER,IT IS MORE CONVIENIENT TO WRITE THE C UPWARD OSCILLATOR STRENGTH IN TERMS OF WHAT IS C DESCRIBED AS AN APPROXIMATE UPWARD OSCILLATOR C STRENGTH.THE BOUND BOUND GAUNT FACTOR IS A C CORRECTION TO THE APPROXIMATE OSCILLATOR C STRENGTH [3]. C C REFERENCES: C [1] BURGESS.A & SUMMERS.H.P C THE RECOMBINATION AND LEVEL POPULATION OF IONS I C Mon.Not.R.astr.Soc.(1976),174,PP345-391. C ( SEE EQUATION A5 ). C C [2] SPENCE.J C STUDIES OF CHARGE EXCHANGE RECOMBINATION IN C LABORATORY FUSION PLASMAS. C Phd THESIS. C ( SEE P36 EQUATIONS 2.4.2.1 TO 2.4.2.3 ). C C [3] MENZEL.D.H & PEKERIS.C.L C Mon.Not.R.astr.Soc.(1935),96,P77. C C CALLING PROGRAM: C C FUNCTION: C C INPUT : (R*8) X2 = THE RECIPROCAL OF THE SQUARE OF THE C UPPER PRINCIPAL QUANTUM NUMBER. C INPUT : (R*8) X = GENERAL VARIABLE RELATED TO THE C UPPER PRINCIPAL QUANTUM NUMBER. C X=EN23(N)*EN23(N2)/EN23(N11-1) C INPUT : (R*4) EN = THE UPPER PRINCIPAL QUANTUM NUMBER. C INPUT : (R*4) EN1 = THE LOWER PRINCIPAL QUANTUM NUMBER. C C OUTPUT: (R*8) GBB = THE BOUND BOUND GAUNT FACTOR. C C (R*8) G1 = GENERAL VARIABLE. C (R*8) G2 = GENERAL VARIABLE. C (R*8) G3 = GENERAL VARIABLE. C (R*8) T1 = GENERAL VARIABLE. C (R*8) T2 = GENERAL VARIABLE. C (R*8) T3 = GENERAL VARIABLE. C (R*8) T4 = GENERAL VARIABLE. C (R*8) X4 = THE RECIPROCAL OF THE PRINCIPAL C QUANTUM NUMBER CUBED. C C C CONTACT: HARVEY ANDERSON C UNIVERSITY OF STRATHCLYDE. C ROOM 4.13B EXT 4213 C C DATE: 23/12/95 C C C VERSION: 1.2 DATE: 17-03-99 C MODIFIED: HARVEY ANDERSON C - ADDED DOCUMENTATION C C----------------------------------------------------------------------- C REAL*8 EN, EN1, X, X2