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| '''Comment on "lambda doubling" (BP, 28 Jan 2009):''' | = TiO data = TiO line lists calculated by Bertrand on 29 May 2008. The files are in Uppsala at /h5/plez/TiOVALD/linelist/linelist??_all.dat.gz <<BR>> For files with lambda-doubled lines merged see below. Number of lines: ||Isotope ||N,,merg,,||N,,orig,,|| ||46 || 8193347 ||11140205 || ||47 || 8194614 ||11141521 || ||48 || 8195512 ||11142777 || ||49 || 8196355 ||11143980 || ||50 || 8197133 ||11144857 || ||total ||40976961 ||55713340 || N,,orig,, ... original lists<<BR>> N,,merg,, ... lambda-doubled lines merged == Transitions in BP's line list == {{attachment:BP_transitions.png}} == Lambda doubling == -- BertrandPlez 28 Jan 2009: |
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-- UlrikeHeiter <<DateTime(2009-02-06T10:37:27+0200)>> - Lambda-doubled lines have been merged according to BP's comment above. The new files are in Uppsala at /h19/ulrike/Molecules/Data/TiO/linelist??_all_nodoubling.dat.gz The merging code is at /h19/ulrike/Molecules/Data/TiO/tio_plez_rm_doubling.pro == Observed wavenumbers == A separate list with observed wavenumbers from Phillips (Bertrand Plez, priv. comm. 17 Sep 2008) and calculated other values from Plez (from the list with lambda-doubled lines merged), has been generated. Reference: Davis et al. 1986, ApJ 309, 449. It contains lines in the alpha, beta, gamma, gammaprime systems with range: ||wavenumber(cm^-1^) ||wavelength(Å) || ||20997.64 ||4762.440 || ||11383.24 ||8784.845 || Isotope: ^48^Ti (see Davis et al. 1986, IV.a p. 452) The original list is at /h19/ulrike/Molecules/Data/TiO/TiO-Phillips-OBS.dat and has over 35000 lines. Content: "Obs", vupp, vlow, Jlow, "+", branch, ".0000E+00", wavenumber, ".000", system There are a few "double" lines with same quantum numbers and branch names (but different wavenumbers). The wavenumbers for these have been averaged for the converted list. The converted list (ascii format, same format as calculated list) is at /h19/ulrike/Molecules/Data/TiO/TiO-Phillips-OBS-vald.asc and has 32574 lines. The conversion code is at /h19/ulrike/Molecules/Data/TiO/tio_phillips_to_vald_ascii.f The list has been sorted by wavelength after running the conversion code. Differences between observed and calculated wavelengths, O-C: min=-5.4Å, max=1.7Å. '''beta system:''' ||v-v || branch || J,,low,, range || J,,low,, missing || || || || || || ||0-0 || P || 4<=Jlow<= 99 || 94 || ||1-1 || P || 2<=Jlow<=100 || 66,88,91,92,93,95 || ||2-2 || P || 2<=Jlow<= 90 || 8,10,12,14,76,81,83 || || || || || || ||0-0 || Q || 2<=Jlow<=100 || 4 || ||1-1 || Q || 1<=Jlow<=100 || 2,4,96 || ||2-2 || Q || 3<=Jlow<=100 || 7,78,82,83,84,89,90,91 || || || || || || ||0-0 || R || 2<=Jlow<=100 || || ||1-1 || R || 2<=Jlow<= 98 || 7 || ||2-2 || R || 2<=Jlow<= 92 || 5,26,42,62,64,70,74,75,84|| |
TiO data
TiO line lists calculated by Bertrand on 29 May 2008. The files are in Uppsala at /h5/plez/TiOVALD/linelist/linelist??_all.dat.gz
For files with lambda-doubled lines merged see below.
Number of lines:
Isotope |
Nmerg |
Norig |
46 |
8193347 |
11140205 |
47 |
8194614 |
11141521 |
48 |
8195512 |
11142777 |
49 |
8196355 |
11143980 |
50 |
8197133 |
11144857 |
total |
40976961 |
55713340 |
Norig ... original lists
Nmerg ... lambda-doubled lines merged
Transitions in BP's line list
Lambda doubling
-- BertrandPlez 28 Jan 2009:
Some transitions are affected by Lambda-doubling. In that case there are 2 sublevels that give rise to transitions, and if the separation is large enough, they appear in the list as 2 lines with the same parameters except for the parity of the upper and lower level, and a slightly different wavenumber. The degeneracy of these sublevels is 2*J+1. When the Lambda-doubling is too small there are 2 lines with exactly the same data (except the parities). One way to compact the list is to merge these lines and double the gf-value 2*(2*J+1)*f.
For some transitions Lambda-doubling does not exist (if Lambda=0, i.e if one of the states is a sigma state).
-- UlrikeHeiter 2009-02-06 08:37:27 - Lambda-doubled lines have been merged according to BP's comment above.
The new files are in Uppsala at /h19/ulrike/Molecules/Data/TiO/linelist??_all_nodoubling.dat.gz
The merging code is at /h19/ulrike/Molecules/Data/TiO/tio_plez_rm_doubling.pro
Observed wavenumbers
A separate list with observed wavenumbers from Phillips (Bertrand Plez, priv. comm. 17 Sep 2008) and calculated other values from Plez (from the list with lambda-doubled lines merged), has been generated. Reference: Davis et al. 1986, ApJ 309, 449.
It contains lines in the alpha, beta, gamma, gammaprime systems with range:
wavenumber(cm-1) |
wavelength(Å) |
20997.64 |
4762.440 |
11383.24 |
8784.845 |
Isotope: 48Ti (see Davis et al. 1986, IV.a p. 452)
The original list is at /h19/ulrike/Molecules/Data/TiO/TiO-Phillips-OBS.dat and has over 35000 lines.
Content: "Obs", vupp, vlow, Jlow, "+", branch, ".0000E+00", wavenumber, ".000", system
There are a few "double" lines with same quantum numbers and branch names (but different wavenumbers). The wavenumbers for these have been averaged for the converted list.
The converted list (ascii format, same format as calculated list) is at /h19/ulrike/Molecules/Data/TiO/TiO-Phillips-OBS-vald.asc and has 32574 lines.
The conversion code is at /h19/ulrike/Molecules/Data/TiO/tio_phillips_to_vald_ascii.f
The list has been sorted by wavelength after running the conversion code.
Differences between observed and calculated wavelengths, O-C: min=-5.4Å, max=1.7Å.
beta system:
v-v |
branch |
Jlow range |
Jlow missing |
|
|
|
|
0-0 |
P |
4<=Jlow<= 99 |
94 |
1-1 |
P |
2<=Jlow<=100 |
66,88,91,92,93,95 |
2-2 |
P |
2<=Jlow<= 90 |
8,10,12,14,76,81,83 |
|
|
|
|
0-0 |
Q |
2<=Jlow<=100 |
4 |
1-1 |
Q |
1<=Jlow<=100 |
2,4,96 |
2-2 |
Q |
3<=Jlow<=100 |
7,78,82,83,84,89,90,91 |
|
|
|
|
0-0 |
R |
2<=Jlow<=100 |
|
1-1 |
R |
2<=Jlow<= 98 |
7 |
2-2 |
R |
2<=Jlow<= 92 |
5,26,42,62,64,70,74,75,84 |