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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), will be generated. Reference: Davis et al. 1986, ApJ 309, 449. The original list is at /h19/ulrike/Molecules/Data/TiO/TiO-Phillips-OBS.dat It contains about 35000 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) 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 will be averaged. '''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), will be generated. Reference: Davis et al. 1986, ApJ 309, 449.
The original list is at /h19/ulrike/Molecules/Data/TiO/TiO-Phillips-OBS.dat
It contains about 35000 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)
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 will be averaged.
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 |