Electron impact ionisation rate
Contents
1. 66994D 03 86260D 03 21014D 02 65595D 02 30908D 02 22208D 02 98359D 02 01643D 02 Fr OaA A NFR ON UO BN DN 14808D 01 SEM 1492D 63 4526D 37 3931D 22 7780D 16 3034D 14 5800D 12 9256D 12 7947D 11 87 85 RYD 85530 ON OWNHRPRE RF DO DU WD FINAL ION CHARGE 530 ZETA 2 GAM EMP 46287D 03 44542D 03 00233D 03 47145D 03 19102D 03 16723D 02 39608D 02 80817D 02 34127D 02 68431D 02 43833D 02 08547D 02 32006D 02 GAM GAM EMP 8 66161D 01 72463D 01 48399D 01 37330D 01 34504D 01 44960D 01 66812D 01 15816D 01 86253D 01 14596D 00 28414D 00 31731D 00 37989D 00 2 3211D 07 4 1600D 11 3 6301D 11 5 8027D 07 7 1500D 11 5 4278D 11 Notes2. button moves you forward to the next window Clicking the Cancel button takes you back to the previous window VY ADAS106 INPUT Data root home summers adas arch106 Edit Path Name OldArchive lt gt NewArchive lt NoArchive aj te lt Refresh from Archive gt i Archive Index Number b carbon dat carbon dat Archive File Browse Index Cancel Done The processing options window has the appearance shown below 6 10 11 12 The button Browse Index remains available at the top of the window to display the archive index list As described in the ADAS User Manual the examination of input ionisation rate coefficients is based on the generation of an approximate form for the rate ceofficient variation with temperature with which the input is compared The approximate form is built from shell groups and resonance groups designed to represent direct ionisation and autoionisation respectively Scaling factors can be varied to attempt to optimise the fit of the approximate form to the input data At a the primary data on the nuclear and ion charges are entered Make an appropriate choice at Use default scaling parameters if you wish the scaling parameters to be frozen at your initial settings YES or allowed to vary NO Click on the appropriate diamond button to display the parameters of e
3. carbon dat Browse Index Nudear charge z0 No of shell groups 1 Group 1 2 Initial ion charge z Default scaling parameter N Final ion charge z1 INDEX n EION RYD IZETA ye 3 1 2 1 12345e00 4 X Use default scaling parameters NO If NO then optimised scaling will be used Display groups lt Shell lt gt Resonance Edit Table INDEX Input Temp Input Coefft Output Temp 1 1 000E 05 1 000E 00 1 000E 05 lt 2 2 000E 05 2 000E 00 2 000E 05 3 5 000E 05 5 000E 00 3 000E 05 4 1 000E 06 1 000E 01 4 000E 05 5 2 000E 06 2 000E 01 7 000E 05 6 5 000E 06 5 000E 01 8 000E 05 7 1 000E 07 1 000E 02 1 000E 06 8 2 000E 07 2 000E 02 2 000E 06 x Temp units Kelvin Rate coefft units cm3 sec 1 Temp units Kelvin Edit Table Default Temperature values Edit the processing options data and press Done to proceed Cancel Done 13 Clicking the Done button causes the next output options window to be displayed Remember that Cancel takes you back to the previous window The Escape to Menu icon is also available for a quick exit at the bottom left hand corner The output options window is shown below 14 15 16 17 There is only one system of comparative display for ADAS10
4. ra ca 3 15x107 cm s and Cp is an adjustable multiplier for the shell group R The expression for each resonance is an excitation rate coefficient obtained by averaging the excitation cross section given in equation 2 5 7 of ADAS105 WT is a preset weight factor input by the user It is sometimes convenient to define an effective collision strength gamma or Upsilon for ionisation equivalent to that used for excitation which is finite at threshold as Y S 2Vmaca I kT 2 6 5 Program steps These are summarised in figure 2 6 Figure 2 6 iernii tensel enter ionis rate generate approx begin an si a i ae sie coefficient and form and optimise 3 fon information an ahaa output approximate form group parameters temperatures fit interpolate to print off graphs Sa comparative output E E A Oe and tables Or TORMENS temperatures repeat coefft graph Interactive parameter comments Remember to ensure you have a defaults directory allocated This should have the pathway uid adas defaults where uid is your user identifier The defaults directory records the parameters you set the last time you ran each ADAS code Move to the directory in which you wish ADAS created output text file paper txt is the default and graphic files e g graph ps if a postscript file to be placed Initiate ADAS move to the series 1 menu and click
5. 6 at the moment Two graphs are presented The first is a scaled comparative graph for assessing the rate coefficient data and making adjustments if appropriate The second graph displays the final ionisation rate coefficient at the user s temperatures At a select Graphical Output and insert a Graph Title The latter appears as the index entry if you save the results of your analysis to archive A graphic scaling parameter should be entered This allows some movement in the x direction on the comparative display along the lines of the Burgess C parameter Zero is a good initial choice Make the required choices of graph scaling and axes choices at b for the comparative graph and at c for the ionisation rate coefficient graph a lt 18 19 20 M ADAS106 OUTPUT OPTIONS Data file name home summers adas arch106 carbon dat Browse ndex Select Device ae Graphical Output Post script a Graph Title Figure 1 Post script HP PCL 0 00 Graphic scaling parameter HP GL Ratio Graph Scaling lonis Coefft Graph Scaling Ww X min X max X min X max Y min Y max Y min Y max Enable Hard Copy Replace hm Fil
6. ADAS106 Electron impact ionisation rate graphing and interpolation The program is for entry of Maxwell averaged ionisation rate coefficient data examination comparison with and approximate form optimising of approximate form fits display and interpolation to selectable electron temperatures Background theory The theoretical background is the same as that for program ADAS205 In this case however data are provided as Maxwell averaged ionisation rate coefficients or equivalent forms so there is no requirement for Maxwell averaging Approximate forms The Maxwell averaged approximate forms follow from expressions 2 5 5 2 5 6 and 2 5 7 in ADAS105 Hence SPP 2 4 6 7 W maca C Eyl kT E kT w kT w 7 kT Ind KT x yore B 0 25 100z 91 42 3 5 2 6 2 where 24 raca 2 17 x10 cm s and E x is the first exponential integral In basing an adjustable approximate form on this expression it is supposed that the shells may be combined into at most two shell groups Then the approximate form for the shell direct ionisation rate coefficient is D Gt 2 6 3 I iel C is an adjustable multiplier for the shell group 7 In a similar manner large autoionising resonances may be identified and combined into at most two resonance groups The resulting approximate form for the excitation autoionisation part is S T cg 1 45822 marcas WT Ly KT Uy AE ee excit R reR 2 6 4 where
7. ature The tabular output is given in table 2 6 Energies are in units of Ip temperatures in K and the ionisation rate coefficient in cm s S is the final ionisation rate coefficient and SEM the approximate form ionisation rate coefficient Ne 8 182 1S ionisation QUB 8 2 91 lonisation coefficient graphing Direct ionisation NIGRP 1 EMIN 87 8552 GROUP 1 GIA 0 848 EION Ryd ZETA 87 85528 2 zi 90 107 SOUTE b Al Heng oO 7 9 S N y P 108 4 N 109 i 19 10 103 104 105 108 Te K z1 2 IONISATION QUB 8 2 91 NUCLEAR CHARGE 10 0 INITIAL ION CHARGE DIRECT IONISATION NIGRP annere Oo BwWNHeE PE FOUN rR ON HR GROUP 1 TE K 12D 05 16D 06 74D 06 32D 06 48D 06 64D 06 80D 06 12D 06 16D 07 32D 07 64D 07 80D 07 16D 08 TE K 1605D 05 3211D 05 8027D 05 1605D 06 3211D 06 8027D 06 1238D 06 1605D 07 CIA 0 848 S CM3 SEC 1 89997D 19 53999D 16 60996D 15 78997D 14 59997D 13 98999D 12 96998D 12 08996D 12 76999D 11 15998D 11 2999 1D L1 14997D 11 15997D 11 S 0026D 63 2674D 37 322 IDZ 5400D 16 7900D 14 9700D 12 0900D 12 7700D 11 J EMIN EION 87 GAMMA 14877D 03 98429D 03 24398D 03 41874D 03
8. ename graph ps Text Output Replace Default file name Filename paper txt E Cancel Done After making your choices on hard copy and text output click Done to show the comparative graph The comparative graph is displayed in the Graph Editor window as shown below The graph displays the ratio of input rate coefficient to approximate form as circles with a spline drawn through these tabular points The points can be modified by using the buttons a beneath the graph in association with the mouse To move a point click the move a point button Then use the left mouse button to pick and drag a point to a new position Note that the x ordering of points should be maintained although not forced by the editor Each point has a small active zone around it for picking by the mouse Terminate point moving operations by pressing the right mouse button To delete a point click the delete a point button Then click the eft mouse button with the pointer over the point to be deleted Terminate point deletion operations by pressing the right mouse button To add a new point in the x ordered position between two existing points click the add X point button Then click the left mouse button with the pointer at the position where the new point is to be inserted Terminate point insertion operations by pressing the right mouse button For completeness the capability for adding a point anywhere is given although physically unreasonab
9. icients may be displayed at a Click Show Plot 1 for the comparative plot and Show plot 2 for the ionisation coefficient plot To store the results in the archive file click Archive To make a hard copy of the graph click Print a Figure 2 6a ADAS106 GRAPHICAL OUTPUT Print Archive Show Plot 1 Show Plot 2 Cancel Done b Illustration The output from the program is illustrated for the ionisation reaction Ne 1s S e Ne 1s S et e Figure 2 6a shows a comparative ratio plot of the source ionisation rate data expressed in gamma upsilon form to the optimised approximate form The solid vertical line shows the position of the ionisation threshold energy There is only a single shell group in this case A is a graphing parameter which allows some shift of emphasis in the x direction 2 0 t Ne 8 1s2 1S ionisation QUB 8 2 91 1 84 4 Ratio plot 1 6 1 zal 3 CIA 0 84786 E 14l A 1 00 A x azl E g 1 0 zal fl 0 0 8 ae o6 L 0 4 1 ale 0 2 z 0 0 i i i i i 0 0 0 1 0 2 0 3 0 4 0 5 0 6 0 7 0 8 0 9 1 0 4 1 A EMIN kTe Figure 2 6b Table 2 6 NE 8 182 1S In figure 2 6b the solid line shows the final interpolated ionisation rate coefficient The dashed line shows the optimised approximate form denoted by Bchid The graphs are presented as a function of z scaled temper
10. ither the Shell groups or Resonance groups in the sub window to the right at b Up to two shell or resonance groups may be prepared Make this choice at No of shell groups at the top of the sub window at b Then click on the button for the st or 2nd Group to display its parameter settings below Enter the group parameters in the editable table The definitions of the various parameters are given in the ADAS User Manual Remember to enter a Default scaling parameter 1 0 is a good first choice Click on Edit Table to bring up the ADAS Table Editor widget in the usual manner User input temperatures rate coefficients and required output temperatures are entered at c with the currently selected units shown below at d Click the Edit table button to drop down the ADAS Table Editor for data input If an archive data set is opened temperature rate coefficients and output temperature values are filled from this Otherwise the fields are empty Pressing the Default Temperature values button inserts a default set of output temperatures The ADAS Table Editor window follows the same pattern of operation as described previously Note however the fairly wide selection of units in which data can be entered This is to ease the problem of unit conversion for data from the general literature Click on the buttons for the units with which you wish to work N ADAS106 PROCESSING OPTIONS Data file name home summers adas arch106
11. le The operation is slightly different Click the add anywhere button With the left mouse button pick a point after which you wish the new point added Press the leftt mouse button with the pointer at the insertion point Multiple insertions may be made by continuing to click the left mouse button Click the right mouse button to terminate this particular insertion Press the right mouse button a second time to terminate insertion operations a b o ADAS GRAPH EDITOR lt Move Point Delete Pt Add X Pt lt Add Any Pt Insert Point by Value X val Y val A Click to Insert Cancel Print Refresh Help Done 21 22 23 24 25 To insert a point by value use sub window b The buttons at c provide the usual cancel print and done options In addition the help button displays some information on using the graph editing facilities The original data and graph can be restored by clicking the refresh button Note that after leaving the graph editor window with the done button the modified and or additional points replace the original user input data Note that if any points are modified the program cycles back to the Output Options window for reanalysis Click Done to display the final graphical output The window appearance is as shown below Both the comparative plot and the final plot of ionisation rate coeff
12. on the sixth button to activate ADAS106 The archive selection window appears first It is slightly different in operation than the usual file selection window 1 The recommended root path for user archiving for ADAS106 analysis is uid adas arch106 which may be edited in the usual manner 2 Click the appropriate button at a for opening an old archive file starting a new archive file or ignoring archiving In the first case the usual file display window shows existing archive files from which selection may be made The selected file is displayed in the selection window In the second case the file display window is the same but the selection window is editable for entry of a new archive file name Remember to press the return key on the keyboard to record an entered value 3 The capability is given for reworking or re displaying the results of an earlier analysis stored in an archive file At b click on the Refresh from archive button Then give the Archive index number The selected data will be used as the default data in the subsequent processing and output windows Archiving is strictly sequential A new analysis is simply appended at the end of the archive file and the index updated These is no data replacement or substitution 4 Clicking on the Browse Index button displays the index list for the selected archive file The possibility of browsing the index appears in the subsequent main window also 5 Clicking the Done
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