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Comment: corrections to number of lines in observed converted list
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Editor: UlrikeHeiter
Comment:
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#acl ValdTeamGroup:read,write,delete All:read

~+'''TiO data'''+~ - see also [[TiO/LambdaDoubling]]
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= 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 non-resolved lambda-doubled lines merged see below (under "Lambda doubling").

Number of lines:		 == Next steps ==

 * Extract TiO line lists for use with e.g. Synth
 * Calculate synthetic spectra
 * Compare with observed spectra of M dwarfs and giants

Done:
 * UH, 2012-05-04: Modified species number in Schwenke and Plez_Phillips TiO VALD3 files.
 * UH, 2011-05-31: Processed Schwenke TiO line list.
 * UH, 2011-02-15, 2011-03-13, 2011-05-26, 2011-05-31, 2012-05-04: Converted ascii TiO line lists to (new) VALD3 binary format - see {{{ /vald-archive/source-lists/Molecules/TiO/ }}} for scripts, log files, format file, and binary lists; kompressed lists in CVALD3 format are in {{{ /home/vald/VALD3/VALD3/CVALD3/MOLECULES/ }}}.

== Summary of files ==

'''Calculated line lists''':

'''Plez''':

{{{
/vald-archive/source-lists/Molecules/TiO/Plez/
}}}
Original lists (Plez 2008/2009): {{{ linelist??_all.dat.gz }}}

Lists processed for non-resolved lambda doubling (Heiter 2009):
{{{ linelist??_all_nodoubling.dat.gz }}}

Merging code: {{{ tio_plez_rm_doubling.pro }}}

'''Schwenke''':

{{{
/vald-archive/source-lists/Molecules/TiO/Schwenke/
}}}
Original lists (Kurucz 1999): {{{ tioschwenke.bin, eschwenke.bin }}}

Lists processed for non-resolved lambda doubling and stored in ascii format (Heiter 2011):
{{{ tioschwenke??.dat.gz }}}

Merging code: {{{ rschwenk-vald.for }}}

'''Line lists with observed wavelengths''':
{{{
/vald-archive/source-lists/Molecules/TiO/Phillips/
}}}

Original list: {{{ TiO-Phillips-OBS-Plez-Kurucz.dat }}}

Converted list (ascii format, same format as calculated lists): {{{ linelist48-TiO-Phillips-OBS-vald.asc }}}

Conversion code: {{{ tio_phillips_to_vald_ascii.f }}}

File with O-C wavelength differences: {{{ TiO-Phillips-O-C.dat }}}

[[attachment:plot_O-C.gp.txt|Gnuplot input file to plot O-C]]

== TiO electronic states ==

{{attachment:TiO_states.png|transitions table|width=400}}

== Calculated TiO data from Plez ==
TiO line lists were calculated by Bertrand Plez with air wavelength, gf, energies for lower and upper levels, radiative damping constant, transition id and quantum numbers.

'''Version history:'''
 * 29 May 2008 - Created.
 * 10 June 2009 - The phi system was added, and the radiative damping constants for the delta system were changed.
 * 7 Mar 2012 - The wavelengths of the delta system's 0-0 and 1-1 transitions were corrected, using improved molecular constants from Ram et al. 1996, ApJS 107, 443.

'''Transitions:'''

{{attachment:BP_transitions.png|transitions table|width=600}}

Vibrational quantum numbers from 0 to 15, rotational quantum numbers from 1 to 200.

The original line lists have been processed to merge non-resolved lambda-doubled lines (with equal wavelengths) by UH (2009-02-06, 2009-06-30), see [[TiO/LambdaDoubling|page on lambda doubling]].
In the calculated lists, parity is given by the syml and symu quantum numbers, which can be 1 or -1.
In the merged lists, syml and symu are set to 0 for the merged lines.
For further information on the level data format see [[EnergyLevels]].

For gamma prime, delta, epsilon and E-B, lambda doubling is resolved (transitions involving E3-Pi, B3-Pi, and b1-Pi states), therefore there are few merged lines. For the phi transitions, lambda doubling does not exist (involves a Sigma state). For the remaining transitions (alpha, beta, gamma, a-f), lambda doubling is not resolved (therefore, all lines are merged).


'''Number of lines:'''
Line 13: Line 90:
||46 || 8193347 ||11140205 ||
||47 || 8194614 ||11141521 ||
||48 || 8195512 ||11142777 ||
||49 || 8196355 ||11143980 ||
||50 || 8197133 ||11144857 ||
||total ||40976961 ||55713340 ||		 ||46 || 8333340 ||11280189 ||
||47 || 8334680 ||11281575 ||
||48 || 8335639 ||11282895 ||
||49 || 8336542 ||11284157 ||
||50 || 8337372 ||11285088 ||
||total ||41677573 ||56413904 ||
Line 23: Line 100:
== Transitions in BP's line list ==

{{attachment:BP_transitions.png}}

== 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 <<DateTime(2009-02-06T10:37:27+0200)>> - 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

In the calculated lists, parity is given by the syml and symu quantum numbers, which can be 1 or -1.
In the merged lists, syml and symu are set to 0 for the merged lines.

 * lambda doubling in calculated lists in '''gamma prime system'''
  * P1,Q1,R1: lambda doubling resolved for all lines
  * P2,Q2,R2: lambda doubling resolved for J,,low,,>~10
  * P3,Q3,R3: lambda doubling resolved for J,,low,,>=3
  * "resolved" here means: wavenumber difference >=0.001
 
 * wavenumber (wn) difference for calculated lambda-doubled lines in '''gamma prime system'''
  * P1,P2,R1,R2 (all v-v):
   * for even J,,low,,: wn(syml=-1) > wn(syml=1),
   * for odd J,,low,, vice versa
  * Q1,Q2: reverse of P
   * for even J,,low,,: wn(syml=1) > wn(syml=-1),
   * for odd J,,low,, vice versa
  * PQR 3: reverse of PQR 1,2
  * for the actual values for PQR 1 and 2 see the plots below (the values are the same for each of the three v-v combinations 0-0, 1-0, 0-1), and compare to the plots for observed lambda-doubled lines further down

{{attachment:linelist48_all-H-PQR1-wn-0.png}}
{{attachment:linelist48_all-H-PQR1-wn-1.png}}
{{attachment:linelist48_all-H-PQR1-wn-2.png}}
{{attachment:linelist48_all-H-PQR1-wn-3.png}}
{{attachment:linelist48_all-H-PQR2-wn-0.png}}
{{attachment:linelist48_all-H-PQR2-wn-1.png}}
{{attachment:linelist48_all-H-PQR2-wn-2.png}}
{{attachment:linelist48_all-H-PQR2-wn-3.png}}		 == Calculated TiO data from Schwenke (1998) ==
The TiO linelist described by [[http://adsabs.harvard.edu/abs/1998FaDi..109..321S|Schwenke (1998, Faraday Discussions 109, 321)]] and published on Kurucz CDROM No. 24 (1999) was obtained from the [[http://kurucz.harvard.edu/molecules/TiO/|Kurucz website]] in Sep 2004. It contains wavelength, gf values, energies for lower and upper levels, radiative damping constant, level id and quantum numbers, for transitions among 13 different electronic states of TiO (five different Ti isotopes).
The list for isotope 48 contains lines for 70 different electronic transitions (the nine "allowed" transitions as in the Plez list, and numerous "forbidden" transitions, see discussion in Schwenke 1998 and table below). Figure 4 in Schwenke (1998) shows the absorption as a function of frequency at 3000 K for 27 of the "forbidden" systems.

'''Transitions:'''

{{attachment:Schwenke_transitions.png|transitions table|width=600}}

Vibrational quantum numbers from 0 to 19, rotational quantum numbers from 1 to 300.

The original line lists have been processed to merge non-resolved lambda-doubled lines (with equal wavelengths) by UH (2011-05-30), see [[TiO/LambdaDoubling|page on lambda doubling]].
In the calculated lists, parity is given as 'p' or 'm'.
In the merged lists, parity is set to 0 for both upper and lower level for the merged lines.
For further information on the level data format see [[EnergyLevels]].


'''Number of lines:'''

||Isotope ||N,,merg,,||N,,orig,,||
||46 || 4713961 || 6410067||
||47 || 4738024 || 6441278||
||48 || 9052370 || 11857414||
||49 || 4782693 || 6503728||
||50 || 4804039 || 6532011||
||total ||28091087 || 37744498||

N,,orig,, ... original lists<<BR>>
N,,merg,, ... non-resolved lambda-doubled lines merged
Line 72: Line 133:
A separate list with observed wavenumbers from Phillips (Bertrand Plez, priv. comm. 17 Sep 2008, 14 May 2009) 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, gamma prime systems
with range:		 A line list with observed wavenumbers from Phillips has been provided by Bertrand Plez (priv. comm. 17 Sep 2008, 14 May 2009). Reference: Davis et al. 1986, ApJ 309, 449.

It contains 35584 lines in the alpha, beta, gamma, gamma prime systems.

The same data have also been retrieved from the Kurucz website:
http://kurucz.harvard.edu/molecules/TiO/tioberkeley.dat

This file was found to contain data for eight additional vibrational bands in the alpha system (3198 lines), and these were added to the data obtained via Plez.

In total, the data cover the following wavelength range:
Line 78: Line 145:
||20997.64 ||4762.440 || 4761.109 || ||22610.30 ||4422.763 || 4421.521 ||
Line 83: Line 150:
The original list is at /h19/ulrike/Molecules/Data/TiO/TiO-Phillips-OBS.dat and has 35584 lines.

Content:
"Obs", vupp, vlow, Jlow, "+", branch, ".0000E+00", wavenumber, ".000", system

The converted list (ascii format, same format as calculated list) is at /h19/ulrike/Molecules/Data/TiO/TiO-Phillips-OBS-vald.asc and has 35913 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.		 The list has been converted to an ascii format where the observed wave numbers have been converted to air wavelengths and all other line data needed for a VALD line list have been taken from the calculated list by Plez (isotope 48, merged, see above), by UH, 2009-05-22, 2011-05-26.

Lambda doubling is resolved in the observations only for the gamma prime system (P,Q,R 1/2 branches). "The Lambda-split components are designated by the usual subscripts c and d, which are assigned arbitrarily since the symmetry is unknown" (Phillips, 1969, ApJ 157, 449). Calculated data have been assigned to Lambda-doubled components according to wavelength order.

Number of lines and wavelength ranges for converted list:
|| System || N |||| Air wavelength range [Å] ||
|| A || 11942 || 4421 || 6277 ||
|| B || 826 || 5597 || 5740 ||
|| G || 21071 || 6294 || 8783 ||
|| H || 5254 || 5847 || 6891 ||
|| Total || 39093 |||| ||
Line 97: Line 163:
 * 157 lines in systems other than gamma prime are not in the calculated list (all with J,,low,,<=4).
 * In the alpha and gamma systems, there are five "double" lines with same quantum numbers and branch names but slightly different wavenumbers. The wavenumbers for these have been averaged for the converted list. There are 18 double lines with exactly the same parameters. The duplicates have been removed for these.		  * 173 lines in systems other than gamma prime are not in the calculated list (all with J,,low,,<=4).
 * In the alpha and gamma systems, there are five "double" lines with same quantum numbers and branch names but slightly different wavenumbers. The wavenumbers for these have been averaged for the converted list. There are 19 double lines with exactly the same parameters. The duplicates have been removed for these.
Line 102: Line 168:
 * For 21 lines in the gamma prime P1,Q1,P2,Q2,R2 lists, lambda doubling is not resolved in the calculated list. The observed wavenumber differences are very small for these lines (<=0.05 cm-1, >0 only for four lines), therefore they have been averaged.  * For 20 lines in the gamma prime P1,Q1,P2,Q2,R2 lists, lambda doubling is not resolved in the calculated list. The observed wavenumber differences are very small for these lines (<=0.05 cm-1, >0 only for four lines), therefore they have been averaged.
 * The double line gamma prime 0-1 J,,low,,=1 R2 is not in the calculated list.
Line 104: Line 171:
 * Totals: -629 +958  * Totals: -647 +958
Line 124: Line 191:

see also [[TiO/LambdaDoubling]]
Line 140: Line 209:
observed lines in '''gamma prime system''', '''P1,Q1,R1''' branches, wavenumber differences between C and D lines:

{{attachment:TiO-Phillips-OBS-H-P1CD-wn.png}}
{{attachment:TiO-Phillips-OBS-H-Q1CD-wn.png}}
{{attachment:TiO-Phillips-OBS-H-R1CD-wn.png}}
Line 162: Line 225:
observed lines in '''gamma prime system''', '''P2,Q2,R2''' branches, wavenumber differences between C and D lines:


{{attachment:TiO-Phillips-OBS-H-P2CD-wn.png}}
{{attachment:TiO-Phillips-OBS-H-Q2CD-wn.png}}
{{attachment:TiO-Phillips-OBS-H-R2CD-wn.png}}

||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 ||
Line 210: Line 239:

== Comparison of observed and calculated wavelengths ==

Differences between observed and calculated wavelengths, O-C: min=-5.4Å, max=4.0Å.

O-C wavelength differences versus observed air wavelength for each system:

{{attachment:O-C-all.png}}
{{attachment:O-C-A.png}}
{{attachment:O-C-B.png}}
{{attachment:O-C-G0.png}}
{{attachment:O-C-G1.png}}
{{attachment:O-C-G2.png}}
{{attachment:O-C-G3.png}}
{{attachment:O-C-G4.png}}
{{attachment:O-C-H.png}}

TiO data - see also TiO/LambdaDoubling

Contents

  1. Next steps
  2. Summary of files
  3. TiO electronic states
  4. Calculated TiO data from Plez
  5. Calculated TiO data from Schwenke (1998)
  6. Observed wavenumbers
    1. Observed lines in beta system
    2. Observed lines in gamma prime system
  7. Comparison of observed and calculated wavelengths

Next steps

  • Extract TiO line lists for use with e.g. Synth
  • Calculate synthetic spectra
  • Compare with observed spectra of M dwarfs and giants

Done:

  • UH, 2012-05-04: Modified species number in Schwenke and Plez_Phillips TiO VALD3 files.
  • UH, 2011-05-31: Processed Schwenke TiO line list.

  • UH, 2011-02-15, 2011-03-13, 2011-05-26, 2011-05-31, 2012-05-04: Converted ascii TiO line lists to (new) VALD3 binary format - see  /vald-archive/source-lists/Molecules/TiO/  for scripts, log files, format file, and binary lists; kompressed lists in CVALD3 format are in  /home/vald/VALD3/VALD3/CVALD3/MOLECULES/ .

Summary of files

Calculated line lists:

Plez: 

/vald-archive/source-lists/Molecules/TiO/Plez/

Original lists (Plez 2008/2009):  linelist??_all.dat.gz 

Lists processed for non-resolved lambda doubling (Heiter 2009):  linelist??_all_nodoubling.dat.gz 

Merging code:  tio_plez_rm_doubling.pro 

Schwenke: 

/vald-archive/source-lists/Molecules/TiO/Schwenke/

Original lists (Kurucz 1999):  tioschwenke.bin, eschwenke.bin 

Lists processed for non-resolved lambda doubling and stored in ascii format (Heiter 2011):  tioschwenke??.dat.gz 

Merging code:  rschwenk-vald.for 

Line lists with observed wavelengths: 

/vald-archive/source-lists/Molecules/TiO/Phillips/

Original list:  TiO-Phillips-OBS-Plez-Kurucz.dat 

Converted list (ascii format, same format as calculated lists):  linelist48-TiO-Phillips-OBS-vald.asc 

Conversion code:  tio_phillips_to_vald_ascii.f 

File with O-C wavelength differences:  TiO-Phillips-O-C.dat 

Gnuplot input file to plot O-C

TiO electronic states

transitions table

Calculated TiO data from Plez

TiO line lists were calculated by Bertrand Plez with air wavelength, gf, energies for lower and upper levels, radiative damping constant, transition id and quantum numbers.

Version history:

  • 29 May 2008 - Created.
  • 10 June 2009 - The phi system was added, and the radiative damping constants for the delta system were changed.
  • 7 Mar 2012 - The wavelengths of the delta system's 0-0 and 1-1 transitions were corrected, using improved molecular constants from Ram et al. 1996, ApJS 107, 443.

Transitions:

transitions table

Vibrational quantum numbers from 0 to 15, rotational quantum numbers from 1 to 200.

The original line lists have been processed to merge non-resolved lambda-doubled lines (with equal wavelengths) by UH (2009-02-06, 2009-06-30), see page on lambda doubling. In the calculated lists, parity is given by the syml and symu quantum numbers, which can be 1 or -1. In the merged lists, syml and symu are set to 0 for the merged lines. For further information on the level data format see EnergyLevels.

For gamma prime, delta, epsilon and E-B, lambda doubling is resolved (transitions involving E3-Pi, B3-Pi, and b1-Pi states), therefore there are few merged lines. For the phi transitions, lambda doubling does not exist (involves a Sigma state). For the remaining transitions (alpha, beta, gamma, a-f), lambda doubling is not resolved (therefore, all lines are merged).

Number of lines:

Isotope

Nmerg

Norig

46

8333340

11280189

47

8334680

11281575

48

8335639

11282895

49

8336542

11284157

50

8337372

11285088

total

41677573

56413904

Norig ... original lists
Nmerg ... non-resolved lambda-doubled lines merged

Calculated TiO data from Schwenke (1998)

The TiO linelist described by Schwenke (1998, Faraday Discussions 109, 321) and published on Kurucz CDROM No. 24 (1999) was obtained from the Kurucz website in Sep 2004. It contains wavelength, gf values, energies for lower and upper levels, radiative damping constant, level id and quantum numbers, for transitions among 13 different electronic states of TiO (five different Ti isotopes). The list for isotope 48 contains lines for 70 different electronic transitions (the nine "allowed" transitions as in the Plez list, and numerous "forbidden" transitions, see discussion in Schwenke 1998 and table below). Figure 4 in Schwenke (1998) shows the absorption as a function of frequency at 3000 K for 27 of the "forbidden" systems.

Transitions:

transitions table

Vibrational quantum numbers from 0 to 19, rotational quantum numbers from 1 to 300.

The original line lists have been processed to merge non-resolved lambda-doubled lines (with equal wavelengths) by UH (2011-05-30), see page on lambda doubling. In the calculated lists, parity is given as 'p' or 'm'. In the merged lists, parity is set to 0 for both upper and lower level for the merged lines. For further information on the level data format see EnergyLevels.

Number of lines:

Isotope

Nmerg

Norig

46

4713961

6410067

47

4738024

6441278

48

9052370

11857414

49

4782693

6503728

50

4804039

6532011

total

28091087

37744498

Norig ... original lists
Nmerg ... non-resolved lambda-doubled lines merged

Observed wavenumbers

A line list with observed wavenumbers from Phillips has been provided by Bertrand Plez (priv. comm. 17 Sep 2008, 14 May 2009). Reference: Davis et al. 1986, ApJ 309, 449.

It contains 35584 lines in the alpha, beta, gamma, gamma prime systems.

The same data have also been retrieved from the Kurucz website: http://kurucz.harvard.edu/molecules/TiO/tioberkeley.dat

This file was found to contain data for eight additional vibrational bands in the alpha system (3198 lines), and these were added to the data obtained via Plez.

In total, the data cover the following wavelength range:

wavenumber(cm-1)

wavelength(Å)

vacuum

air

22610.30

4422.763

4421.521

11383.24

8784.845

8782.433

Isotope: 48Ti (see Davis et al. 1986, IV.a p. 452)

The list has been converted to an ascii format where the observed wave numbers have been converted to air wavelengths and all other line data needed for a VALD line list have been taken from the calculated list by Plez (isotope 48, merged, see above), by UH, 2009-05-22, 2011-05-26.

Lambda doubling is resolved in the observations only for the gamma prime system (P,Q,R 1/2 branches). "The Lambda-split components are designated by the usual subscripts c and d, which are assigned arbitrarily since the symmetry is unknown" (Phillips, 1969, ApJ 157, 449). Calculated data have been assigned to Lambda-doubled components according to wavelength order.

Number of lines and wavelength ranges for converted list:

System

N

Air wavelength range [Å]

A

11942

4421

6277

B

826

5597

5740

G

21071

6294

8783

H

5254

5847

6891

Total

39093

Explanation for different numbers of lines in original and converted list:

  • 173 lines in systems other than gamma prime are not in the calculated list (all with Jlow<=4).

  • In the alpha and gamma systems, there are five "double" lines with same quantum numbers and branch names but slightly different wavenumbers. The wavenumbers for these have been averaged for the converted list. There are 19 double lines with exactly the same parameters. The duplicates have been removed for these.
  • There are 137 gamma prime P11/Q11/R11 lines, which are not in calculated list and have been discarded.
  • 290 gamma prime PQR 1/2 lines have been discarded, where only one component (C or D) is in the observed list.

  • There is a double entry for gamma prime 0-1 Jlow=7 R1D.

  • For 20 lines in the gamma prime P1,Q1,P2,Q2,R2 lists, lambda doubling is not resolved in the calculated list. The observed wavenumber differences are very small for these lines (<=0.05 cm-1, >0 only for four lines), therefore they have been averaged.

  • The double line gamma prime 0-1 Jlow=1 R2 is not in the calculated list.

  • P3,Q3,R3 lines in the gamma prime system are "double", because of resolved lambda doubling in the calculated list (+958 lines).
  • Totals: -647 +958

Observed lines in beta system

v-v

branch

Jlow,min

Jlow,max

Jlow 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

see also TiO/LambdaDoubling

observed lines in gamma prime system, P1,Q1,R1 branches (C/D pairs for each v-v and Jlow), Jlow values:

vupp-vlow

branch

Jlow,min

Jlow,max

Jlow missing C+D

Jlow missing C

Jlow missing D

0-0

P1

3

131

3,4,5,6,13,23

29,104,130,131

1-0

P1

2

107

98

21,77

15,63,103,107

0-1

P1

2

145

89,93,109,110,120,123

2,10,14,28,29,63,104, 126,131,135,138,139, 140,144,145

23,62,68,71,72,77,84,98, 99,111,125,129,130,136

0-0

Q1

1

141

2

1,12,119,138,139,140,141

4,7,118

1-0

Q1

1

120

1,104,105,112,114,118

0-1

Q1

2

144

94,138

11,104,107,114,125,127, 128,129,130,132,133,143,144

8,77,100,102,122,124

0-0

R1

1

122

96

5,6,19,64,87

1,2,76,83,84,90,94,100, 107,>=110

1-0

R1

1

135

126

28,43,78,82,95

116,119,121,128,131

0-1

R1

1

150

119,122,124,148

22,58,78,87,100,105,106, 108,111,114,115,130, 137,>=144

5,38,39,53,81,103,116, 117,121,125,128,141 (7 double)

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

vupp-vlow

branch

Jlow,min

Jlow,max

Jlow missing C+D

Jlow missing C

Jlow 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

7,9,13,16,85

60,67

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

8,19,75,82,84

78

72,76,79,80,83,85

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, P3,Q3,R3 branches:

vupp-vlow

branch

Jlow,min

Jlow,max

Jlow 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

Comparison of observed and calculated wavelengths

Differences between observed and calculated wavelengths, O-C: min=-5.4Å, max=4.0Å.

O-C wavelength differences versus observed air wavelength for each system:

O-C-all.png O-C-A.png O-C-B.png O-C-G0.png O-C-G1.png O-C-G2.png O-C-G3.png O-C-G4.png O-C-H.png

ValdWiki: TiO (last edited 2012-05-04 17:16:40 by UlrikeHeiter)