ADAS809: Non-Maxwellian modelling
Contents
1. ADAS User manual Chap9 09 17 March 20032. E and E the first and second exponential integrals A further verification on the quadratures is from the exact integrals for Q constant Q X 1 and Q X 1 which are exact for the quadratic fit linear scale option The program has a capability for comparison and display In addition to the input ADF04 type 1 file for conversion it can accept a second ADF04 type 3 file The temperature set for output is copied from the latter reference file Additionally the collision data for a selected single transition may be graphed along with the corresponding data from the reference file if it exists The usual display and output routing facilities are provided Program steps These are summarised in figure 8 9 Figure 8 9 enter fit choices select transition and output temperatures read and verify gt specific ion file gt begin select specific ion file repeat repeat compute cubic spline and A minimax fit Output tables display excit and graphs lt rate coefft end 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 any ADAS created f
3. the box is editable only if the Fit Polynomial button is active 4 To obtain an output adf04 type3 file output temperatures must be selected If a comparative adf04 type3 file was selected the Input temperatures are taken from that file Otherwise temperatures from the Defaults file are used Pressing the Default Temperature values button inserts a default set of temperatures equal to the input temperatures 5 The Temperature Values are editable Click on the Edit Table button if you wish to change the values A drop down window the ADAS Table Editor window It follows the same pattern of operation as described in bulletin The output options window is as shown below 1 As in the previous window the full pathway to the file being analysed is shown for information Also the Browse comments button is available Da AN ar ES Data File Name home summers adas adf04 helike helike_hps02he_t1_cropped dat Graphical Output Select Device Graph Title helium test Post script Post Script HP PCL HP GL Explicit Scaling ani Yow Yowmans Enable Hard Copy J Replace File Name i i Text Output J Replace Befanit Pile Name File Name fi ADAS User manual Chap9 09 17 March 2003 2 Graphical display is activated by the Graphical Output button This will cause a graph to be displayed following completion of this window When graphical display is active an arbitrary
4. title may be entered which appears on the top line of the displayed graph By default graph scaling is adjusted to match the required outputs Press the Explicit Scaling button to allow explicit minima and maxima for the graph axes to be inserted Activating this button makes the minimum and maximum boxes editable 3 Hard copy is activated by the Enable Hard Copy button The File name box then becomes editable If the output graphic file already exits and the Replace button has not been activated a pop up window issues a warning A choice of output graph plotting devices is given in the Device list window Clicking on the required device selects it It appears in the selection window above the Device list window 4 The Text Output button activates writing to a text output file The file name may be entered in the editable File name box when Text Output is on The default file name paper txt may be set by pressing the button Default file name A pop up window issues a warning if the file already exists and the Replace button has not been activated The graph is displayed in a following Graphical Output window HEUUM TEST DATE 11 02 03 TIME 17 15 horne eurnrnel Ke ypedZzhet l_eropped dat ELEMENT HE 0 TRANSITION Q 01 gt D2 OGAT DEGR ECZ END GRADIENT LOWER 0 08 UPPER 0 24 CROSSES INPUT DATA FULL LINE SPUNE FT DASH LINE MINIMAX RATE COEFF CHS TEMPERATURE KELVIN
5. ADAS809 Non Maxwellian modelling change adf04 file type The program converts an ADF04 type file to a standard ADF04 type 3 file That is an ADF04 file with collision strength data is converted to an ADFO04 file with Maxwell averaged collision strengths Background theory The tabulation of the electron impact excitation and ionisation data in an ADF04 type 1 file is of collision strength Q versus threshold parameter X X AE where AE is the energy of the transition i gt j and is the incident electron energy with the target in the lower energy state i At the finest energy resolution collision strengths display detailed resonance structure It is assumed that the tabulated collisions strengths in the ADFO04 type 1 file are smoothly varying that is they have been subject to some averaging over resonant structure It is evident that if the width of the averaging interval above is BE es then the generation of Maxwell averaged collision strengths at temperature T is meaningful only if kT gt gt AE The numerical quadrature procedure takes res avge account of dipole non dipole and spin change forms for excitation The behaviours for transition i j areas dipole Q FS log X F non dipole Q F F X 9 9 1 spin change Q F X F where F and F are constants In the dipole case asymptotically F 74 Sj is the line strength for the transition For ionisation the
6. dipole form with FS replaced by the single constant F is appropriate For electron impact excitation of ions the collision strength tends to a finite value at threshold In contrast for neutral atom excitation and ionisation the collision strength tends to zero at theshold with the threshold behaviour Q aX Usually 1 2 for neutral atom excitation and 1 for ionisation of both atoms and ions For the tabulation X Q k 1 n the quadrature Y Q exp e kT d e kT 9 9 2 0 is expressed as Y AE KT exp AE KT z 9 9 2 fex exp X AE kT dX Xx x oo and the integral divided into the ranges and The asymptotic behaviours extrapolating 1 A X n from the first and last two tabular points are used in the evaluation of the first and last integrals respectively The second integral is evaluated piece wise in each tabular interval with the integrand locally fitted to a quadratic in either a linear scale ie Q c c X c X 2 or logarithmic scale picture ie nQ c c lnX c InX 2y Quadrature precision is checked from the exact integrals of the approximate forms namely ADAS User manual Chap9 09 17 March 2003 dipole Y FS In 1 F EEI 1 F JAE kT non dipole Y F F AE kT EEI AE kT 9 F AE kT spin change Y a 2 EE2 1 F JAE KT 9 3 where EEI x exp x E x and EE2 x exp x E x with
7. foot of the selected dataset if it exists A summary of the number of electronic transitions and energy levels is also given Browse Comments Number of Electron Impact Transitions Number of Index Energy levels 19 Polynomial Fitting INDEX DESIGNATION INDEX DESIGNATION 1 s 0 0 2 i1s2s 3 s 1 0 s 0 0 1s2s 3 s 1 0 1 s 0 0 1s2s 1 s 0 0 1 s 0 0 1s2p 3 P 4 0 1 s 0 0 1s2p 1 P 1 0 1 s 0 0 1s3s 3 s 1 0 INDEX output 5 820E 03 7 3208 03 9 2208 03 1 1608 04 Select Temperatures for output file F Output Electron Temperatures 5 208 03 7 3208 03 9 2208 03 1 1608 04 _ es Temperature Wits Kelvin Edit Table Default Temperature Values 2 Transitions for which electron impact excitation data are available in the data set are displayed in the line list display window This is a scrollable window using the scroll bar to the right of the window Click anywhere on ADAS User manual Chap9 09 17 March 2003 the row for a line to select it The selected transition appears in the selection window just above the line list display window This single transition will displayed 3 The output rate coefficient for the selected transition may be fitted with a polynomial This is as a function of temperature Clicking the Fit Polynomial button activates this The accuracy of the fitting required may be specified in the editable box The value in
8. iles to appear These include the output text file produced after executing any ADAS program paper txt is the default and the graphic file if saved e g graph ps if a postscript file Initiate ADAS move to the series 2 menu and click on the first button to activate ADAS201 The file selection window has the appearance shown below 1 Selection of two adf04 files is permitted The first selected in the upper sub window is of adf04 typel and is mandatory The second optional file selected in the lower sub window is of adf04 type3 It provides a temperature grid for the conversion Selection of the adf04 files follows the standard ADAS 2 Data root shows the full pathway to the appropriate adf04 data subdirectories Click the Central Data button to insert the default central ADAS pathway to the correct data type Click the User Data button to insert the pathway to your own data Note that your data must be held in a similar file structure to central ADAS but with your identifier ADAS User manual Chap9 09 17 March 2003 replacing the first adas to use this facility The Data root can be edited directly Click the Edit Path Name button first to permit editing 3 Available sub directories are shown in the large file display window Scroll bars appear if the number of entries exceed the file display window size Click on a name to select it The selected name appears in the smaller selection window above the file display window Then its sub di
9. rectories in turn are displayed in the file display window Ultimately the individual datafiles are presented for selection Datafiles all have the termination dat yu Pa a EEEE Input ADFO4 type 1 file Data Root ijhonesscamero adas adfB4 7 Central Data User Data Edit Path Name B he1ike helike_hps0Zhe_t1_cropped dat Data File helike_hps02he_t1_cropped dat helike_hps02he_t1 dat helike_hps102he dat Browse Comments Select ADFO4 type 3 file for comparison Data Root shomes sumers adas adfB4 Central Datal User Data Edit Path Name heLike helike_hps102he dat Data File helike_hps02he_t1_cropped dat helike_hps02he_t1 dat helike_hps102he dat Browse Comments 4 Once the adf04 files are selected the set of buttons at the bottom of the main window become active Clicking on the Browse Comments button displays the comment line information stored with the adf04 datafile It ADAS User manual Chap9 09 17 March 2003 is important to use this facility to find out what is broadly available in the dataset The possibility of browsing the comments appears in the subsequent main window also The processing options window has the appearance shown below 1 An arbitrary title may be given for the case being processed For information the full pathway to the dataset being analysed is also shown The button Browse comments again allows display of the information field section at the
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