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 (non-resolved) 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
N_merg ... non-resolved 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 with same wavenumbers 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.

Explanation for different numbers of lines in original and converted list: P3,Q3,R3 lines in the gamma prime system (H, X-B) are "double", because of resolved lambda doubling in the calculated list (+958 lines). 3341 lines in the gamma prime system where the branch name contains C or D are not in the calculated list. 157 other lines are not in the calculated list (all with J_low<=4).

Observed lines in beta system

v-v	branch	J_low,min	J_low,max	J_low missing

0-0	P	4	99	94
1-1	P	2	100	66,88,91,92,93,95
2-2	P	2	90	8,10,12,14,76,81,83

0-0	Q	2	100	4
1-1	Q	1	100	2,4,96
2-2	Q	3	100	7,78,82,83,84,89,90,91

0-0	R	2	100
1-1	R	2	98	7
2-2	R	2	92	5,26,42,62,64,70,74,75,84

Observed lines in gamma prime system

P1,Q1,R1 branches, "strange" J_low values:

P1C	73 lines with J_low always = 1
	see TiO-Phillips-OBS-H-P1C.txt
P1D	349 lines, two sets for each v-v
	see TiO-Phillips-OBS-H-P1D.txt (sorted by J_low for each v-v)
	v_upp-v_low	J_low,min	J_low,max	J_low missing
	0-0	7	99	13,23
	0-0	0	31
	1-0	2	99	21,77,98
	1-0	0	7
	0-1	3	99	10,14,28,29,63,89,93
	0-1	0	43	4,9,10,20,23,26,31,35,38,39,40
Q1D	up to 10 lines for each J_low and v-v
	see TiO-Phillips-OBS-H-Q1D.txt
	v_upp-v_low	J_low,min	J_low,max	J_low with less than 10 lines
	0-0	1	13	1,11 (9 lines); 13 (8 lines)
	1-0	1	12	10 (8 lines); 11 (7 lines); 12 (1 line)
	0-1	1	14	1,9,11 (9 lines); 10 (8 lines), 12,13 (6 lines); 14 (3 lines)
R1C	up to 14 lines for each J_low and v-v
	see TiO-Phillips-OBS-H-R1C.txt (sorted by J_low for each v-v)
	v_upp-v_low	J_low,min	J_low,max	J_low with less than 14 lines
	0-0	0	9	0,1,8 (13 lines); 2,9 (12 lines)
	1-0	0	9	all: 0,3,6,7,9 (12 lines); 1,2,5,8 (11 lines); 4 (10 lines)
	0-1	0	9	0,1,3,5,9 (13 lines); 7,8 (12 lines); 4 (11 lines)

observed lines in gamma prime system, Q1,R1 branches, "normal" J_low values:

v_upp-v_low	branch	J_low,min	J_low,max	J_low missing

0-0	Q1C	3	129	29,104
1-0	Q1C	2	106	15,63,98,103
0-1	Q1C	2	145	23,62,68,71,72,77,84,89,93,98,99,109,110,111,120,123,125,129,130,136

0-0	R1D	1	141	2,4,7,118
1-0	R1D	1	120
0-1	R1D	2	144	8,77,94,100,102,122,124,138

observed lines in gamma prime system, P2,Q2,R2 branches (C/D pairs for each v-v and J_low), J_low values:

v_upp-v_low	branch	J_low,min	J_low,max	J_low missing C+D	J_low missing C	J_low missing D

0-0	P2	11	106	16		51, >=85
1-0	P2	3	88		3,4,6,15,34,35	5,16,82,88
0-1	P2	5	90	7,9,13,16	60,67,85	69,71,74,76, >=84

0-0	Q2	7	107	28		>=84
1-0	Q2	2	91		90	<=9, 35,74,91
0-1	Q2	4	85	8,19,75	78,82,84	72,76,79,80,82,83,84,85

0-0	R2	11	106	19,27,32	83,96,97	48,80, >=82
1-0	R2	4	90		18,36,81	4,5,6,8,22,25,37,41,50,61,75,89,90
0-1	R2	1	91	88	18,20,67,76	44,48,82,83, >=85

observed lines in gamma prime system, P2,Q2,R2 branches, wavenumber differences between C and D lines:

v_upp-v_low	branch	J_low,min	J_low,max	wn(C)-wn(D) = delta

0-0	P2	11	45	= 0
		46	84	< 0
1-0	P2	7	12	\|delta\| < 0.07
		13	42	> 0
		43	51	\|delta\| < 0.07
		52	87	< 0
0-1	P2	5	44	= 0 (39: -0.81)
		45	83	< 0

0-0	Q2	7	44	= 0
		45	83	< 0
1-0	Q2	10	37	> 0
		38	50	\|delta\| < 0.07
		51	89	< 0
0-1	Q2	4	43	= 0
		44	81	< 0

0-0	R2	11	45	= 0 (36: +0.19)
		46	81	< 0
1-0	R2	13	44	> 0
		59	88	< 0
0-1	R2	1	42	= 0
		43	84	< 0

observed lines in gamma prime system, P3,Q3,R3 branches:

v_upp-v_low	branch	J_low,min	J_low,max	J_low missing

0-0	P3	4	121	10,14,19,31,68
1-0	P3	7	95	63,89,93
0-1	P3	4	103	7,19,20,52,79,82,93,97

0-0	Q3	11	130
1-0	Q3	4	109	5,10,14,17,19
0-1	Q3	6	112	10,25,54,87,94,102,104,110

0-0	R3	11	139	21,25,30,65,77,118,119,123,124,134,138
1-0	R3	5	124	99,100,103,119,122
0-1	R3	3	127	5,14,20,70,94,95,96,98,100,113,123

-  ⇤ ← Revision 20 as of 2009-05-12 15:24:46 → 
  Size: 7355
  Editor: UlrikeHeiter
  Comment: added plots for obs gamma prime P2,Q2,R2 lines C-D wavenumber differences
+   ← Revision 22 as of 2009-05-12 16:32:44 → ⇥
  Size: 9604
  Editor: UlrikeHeiter
  Comment: minor restructuring
-Deletions are marked like this.
+Additions are marked like this.
 Line 72:
-observed lines for '''beta system:'''
+=== Observed lines in beta system ===
-Line 87:
+Line 88:
-observed lines in '''gamma prime system''', P2,Q2,R2 branches, J,,low,, values:
+=== Observed lines in gamma prime system ===

'''P1,Q1,R1''' branches, "strange" J,,low,, values:

||'''P1C'''||||||||  73 lines with J,,low,, always = 1 ||
||         |||||||| see [[attachment:TiO-Phillips-OBS-H-P1C.txt]] ||
||'''P1D'''|||||||| 349 lines, two sets for each v-v ||
||         |||||||| see [[attachment:TiO-Phillips-OBS-H-P1D.txt]] (sorted by J,,low,, for each v-v) ||
|| ||v,,upp,,-v,,low,, || J,,low,min,, || J,,low,max,, || J,,low,, missing ||
|| || 0-0 || 7 || 99 || 13,23 ||
|| || 0-0 || 0 || 31 ||  ||
|| || 1-0 || 2 || 99 || 21,77,98 ||
|| || 1-0 || 0 ||  7 ||  ||
|| || 0-1 || 3 || 99 || 10,14,28,29,63,89,93 ||
|| || 0-1 || 0 || 43 || 4,9,10,20,23,26,31,35,38,39,40 ||
||'''Q1D'''|||||||| up to 10 lines for each J,,low,, and v-v ||
||         |||||||| see [[attachment:TiO-Phillips-OBS-H-Q1D.txt]] ||
|| ||v,,upp,,-v,,low,, || J,,low,min,, || J,,low,max,, || J,,low,, with less than 10 lines ||
|| || 0-0 || 1 || 13 || 1,11 (9 lines); 13 (8 lines) ||
|| || 1-0 || 1 || 12 || 10 (8 lines); 11 (7 lines); 12 (1 line) ||
|| || 0-1 || 1 || 14 || 1,9,11 (9 lines); 10 (8 lines), 12,13 (6 lines); 14 (3 lines) ||
||'''R1C'''|||||||| up to 14 lines for each J,,low,, and v-v ||
||         |||||||| see [[attachment:TiO-Phillips-OBS-H-R1C.txt]] (sorted by J,,low,, for each v-v) ||
|| ||v,,upp,,-v,,low,, || J,,low,min,, || J,,low,max,, || J,,low,, with less than 14 lines ||
|| || 0-0 || 0 || 9 || 0,1,8 (13 lines); 2,9 (12 lines) ||
|| || 1-0 || 0 || 9 || all: 0,3,6,7,9 (12 lines); 1,2,5,8 (11 lines); 4 (10 lines) ||
|| || 0-1 || 0 || 9 || 0,1,3,5,9 (13 lines); 7,8 (12 lines); 4 (11 lines) ||

observed lines in '''gamma prime system''', '''Q1,R1''' branches, "normal" J,,low,, values:

||v,,upp,,-v,,low,, || branch || J,,low,min,, || J,,low,max,, || J,,low,, missing ||
|| || || || || ||
|| 0-0 || Q1C || 3 || 129 || 29,104 ||
|| 1-0 || Q1C || 2 || 106 || 15,63,98,103 ||
|| 0-1 || Q1C || 2 || 145 || 23,62,68,71,72,77,84,89,93,98,99,109,110,111,120,123,125,129,130,136 ||
|| || || || || ||
|| 0-0 || R1D || 1 || 141 || 2,4,7,118 ||
|| 1-0 || R1D || 1 || 120 || ||
|| 0-1 || R1D || 2 || 144 || 8,77,94,100,102,122,124,138 ||

observed lines in '''gamma prime system''', '''P2,Q2,R2''' branches (C/D pairs for each v-v and J,,low,,), J,,low,, values:
-Line 102:
+Line 143:
-observed lines in '''gamma prime system''', P2,Q2,R2 branches, wavenumber differences between C and D lines:
+observed lines in '''gamma prime system''', '''P2,Q2,R2''' branches, wavenumber differences between C and D lines:
-Line 133:
+Line 174:
-observed lines in '''gamma prime system''', P3,Q3,R3 branches:
+observed lines in '''gamma prime system''', '''P3,Q3,R3''' branches: