Hydrogen

Formula: H₂
Molecular weight: 2.01588
IUPAC Standard InChI: InChI=1S/H2/h1H
IUPAC Standard InChIKey: UFHFLCQGNIYNRP-UHFFFAOYSA-N
CAS Registry Number: 1333-74-0
Chemical structure:
This structure is also available as a 2d Mol file or as a computed 3d SD file
The 3d structure may be viewed using Java or Javascript.
Isotopologues:
Other names: Dihydrogen; o-Hydrogen; p-Hydrogen; Molecular hydrogen; H2; UN 1049; UN 1966
Permanent link for this species. Use this link for bookmarking this species for future reference.
Information on this page:
Other data available:
- Gas phase thermochemistry data
- Phase change data
- Reaction thermochemistry data: reactions 1 to 50, reactions 51 to 100, reactions 101 to 150, reactions 151 to 200, reactions 201 to 250, reactions 251 to 300, reactions 301 to 350, reactions 351 to 400, reactions 401 to 450, reactions 451 to 500, reactions 501 to 550, reactions 551 to 600, reactions 601 to 621
- Fluid Properties
Data at other public NIST sites:
- Electron-Impact Ionization Cross Sections (on physics web site)
- Gas Phase Kinetics Database
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Henry's Law data

Go To: Top, Gas phase ion energetics data, Ion clustering data, Mass spectrum (electron ionization), Constants of diatomic molecules, References, Notes

Data compiled by: Rolf Sander

Henry's Law constant (water solution)

k_H(T) = k°_H exp(d(ln(k_H))/d(1/T) ((1/T) - 1/(298.15 K)))
k°_H = Henry's law constant for solubility in water at 298.15 K (mol/(kg*bar))
d(ln(k_H))/d(1/T) = Temperature dependence constant (K)

k°_H (mol/(kg*bar))	d(ln(k_H))/d(1/T) (K)	Method	Reference	Comment
0.00078	500.	L	N/A
0.00078	640.	Q	N/A	Only the tabulated data between T = 273. K and T = 303. K from missing citation was used to derive k_H and -Δ k_H/R. Above T = 303. K the tabulated data could not be parameterized by equation (reference missing) very well. The partial pressure of water vapor (needed to convert some Henry's law constants) was calculated using the formula given by missing citation. The quantities A and α from missing citation were assumed to be identical.
0.00078	490.	L	N/A
0.00078		R	N/A

Gas phase ion energetics data

Go To: Top, Henry's Law data, Ion clustering data, Mass spectrum (electron ionization), Constants of diatomic molecules, References, Notes

Data evaluated as indicated in comments:
HL - Edward P. Hunter and Sharon G. Lias
L - Sharon G. Lias

Data compiled as indicated in comments:
B - John E. Bartmess
LL - Sharon G. Lias and Joel F. Liebman
LBLHLM - Sharon G. Lias, John E. Bartmess, Joel F. Liebman, John L. Holmes, Rhoda D. Levin, and W. Gary Mallard
LLK - Sharon G. Lias, Rhoda D. Levin, and Sherif A. Kafafi
RDSH - Henry M. Rosenstock, Keith Draxl, Bruce W. Steiner, and John T. Herron

View reactions leading to H₂⁺ (ion structure unspecified)

Quantity	Value	Units	Method	Reference	Comment
IE (evaluated)	15.42593 ± 0.00005	eV	N/A	N/A	L
Quantity	Value	Units	Method	Reference	Comment
Proton affinity (review)	422.3	kJ/mol	N/A	Hunter and Lias, 1998	HL
Quantity	Value	Units	Method	Reference	Comment
Gas basicity	394.7	kJ/mol	N/A	Hunter and Lias, 1998	HL

Ionization energy determinations

IE (eV)	Method	Reference	Comment
15.425927	EVAL	Shiner, Gilligan, et al., 1993	T = 0K; LL
15.425930	EVAL	Shiner, Gilligan, et al., 1993	T = 0K; LL
15.425932 ± 0.000002	S	McCormack, Gilligan, et al., 1989	T = 0K; LL
15.429558 ± 0.00001	LS	Glab and Hessler, 1987	T = 0K; LBLHLM
15.433174 ± 0.00001	LS	Glab and Hessler, 1987	T = 0K; LBLHLM
15.425942 ± 0.00001	LS	Glab and Hessler, 1987	T = 0K; LBLHLM
15.425932	S	Eyler, Short, et al., 1986	T = 0K; LBLHLM
15.425929	S	Eyler, Short, et al., 1986	T = 0K; LBLHLM
15.425930 ± 0.000027	N/A	Eyler, Short, et al., 1986	LBLHLM
15.5 ± 1.0	S	Farber, Srivastava, et al., 1982	LBLHLM
15.98	PE	Kimura, Katsumata, et al., 1981	LLK
15.43	PE	Bieri, Schmelzer, et al., 1980	LLK
15.42589	EVAL	Huber and Herzberg, 1979	LLK
16. ± 1.	EI	Farber and Srivastava, 1977	LLK
15.4	PI	Rabalais, Debies, et al., 1974	LLK
15.43	PE	Lee and Rabalais, 1974	LLK
15.42589 ± 0.00005	S	Herzberg and Jungen, 1972	LLK
15.4256 ± 0.0001	S	Takezawa, 1970	RDSH
15.38186 ± 0.00031	PE	Asbrink, 1970	RDSH
15.44 ± 0.01	EI	Lossing and Semeluk, 1969	RDSH
15.4256	S	Herzberg, 1969	RDSH
15.431 ± 0.022	TE	Villarejo, 1968	RDSH
15.439 ± 0.015	PE	Collin and Natalis, 1968	RDSH
15.43	CI	Cermak, 1968	RDSH
15.37 ± 0.05	EI	Kerwin, Marmet, et al., 1963	RDSH
15.4269 ± 0.0016	S	Beutler and Junger, 1936	RDSH

Appearance energy determinations

Ion	AE (eV)	Other Products	Method	Reference	Comment
H⁺	18.078 ± 0.003	H	PIPECO	Weitzel, Mahnert, et al., 1994	T = 0K; LL
H⁺	18.0 ± 0.2	H	EI	Crowe and McConkey, 1973	LLK
H⁺	17.28 ± 0.16	H^-	EI	Locht and Momigny, 1971	LLK
H⁺	17.3	H^-	EI	Curran, Laboratories	RDSH

De-protonation reactions

+ = Hydrogen

By formula: H^- + H⁺ = H₂

Quantity	Value	Units	Method	Reference	Comment
Δ_rH°	1675.3	kJ/mol	N/A	Shiell, Hu, et al., 2000	gas phase; Given: 139714.8±1 cm-1 at 0K, or 399.465±0.003 kcal/mol; B
Δ_rH°	1675.3	kJ/mol	N/A	Pratt, McCormack, et al., 1992	gas phase; 399.46±0.01 kcal/mol at 0K; 0.94 correction, Gurvich, Veyts, et al.; B
Δ_rH°	1675.3	kJ/mol	D-EA	Lykke, Murray, et al., 1991	gas phase; Reported: 6082.99±0.15 cm-1, or 0.754195(18) eV; B
Quantity	Value	Units	Method	Reference	Comment
Δ_rG°	1649.3 ± 0.42	kJ/mol	H-TS	Shiell, Hu, et al., 2000	gas phase; Given: 139714.8±1 cm-1 at 0K, or 399.465±0.003 kcal/mol; B
Δ_rG°	1649.3	kJ/mol	H-TS	Lykke, Murray, et al., 1991	gas phase; Reported: 6082.99±0.15 cm-1, or 0.754195(18) eV; B

Ion clustering data

Go To: Top, Henry's Law data, Gas phase ion energetics data, Mass spectrum (electron ionization), Constants of diatomic molecules, References, Notes

Data compiled by: Michael M. Meot-Ner (Mautner) and Sharon G. Lias

Note: Please consider using the reaction search for this species. This page allows searching of all reactions involving this species. Searches may be limited to ion clustering reactions. A general reaction search form is also available.

Clustering reactions

Ar⁺ + Hydrogen = (Ar⁺ • )

By formula: Ar⁺ + H₂ = (Ar⁺ • H₂)

Quantity	Value	Units	Method	Reference	Comment
Δ_rH°	93.7	kJ/mol	FA	Shul, Passarella, et al., 1987	gas phase; switching reaction(Ar+)Ar, Δ_rH>; Dehmer and Pratt, 1982

+ Hydrogen = ( • )

By formula: CHO⁺ + H₂ = (CHO⁺ • H₂)

Quantity	Value	Units	Method	Reference	Comment
Δ_rH°	16.	kJ/mol	PHPMS	Hiraoka and Kebarle, 1975	gas phase
Quantity	Value	Units	Method	Reference	Comment
Δ_rS°	85.8	J/mol*K	PHPMS	Hiraoka and Kebarle, 1975	gas phase

CH₅⁺ + Hydrogen = (CH₅⁺ • )

By formula: CH₅⁺ + H₂ = (CH₅⁺ • H₂)

Quantity	Value	Units	Method	Reference	Comment
Δ_rH°	7.87 ± 0.42	kJ/mol	PHPMS	Hiraoka, Kudaka, et al., 1991	gas phase
Quantity	Value	Units	Method	Reference	Comment
Δ_rS°	50.6	J/mol*K	PHPMS	Hiraoka, Kudaka, et al., 1991	gas phase

(CH₅⁺ • Hydrogen ) + = (CH₅⁺ • 2)

By formula: (CH₅⁺ • H₂) + H₂ = (CH₅⁺ • 2H₂)

Quantity	Value	Units	Method	Reference	Comment
Δ_rH°	7.45 ± 0.42	kJ/mol	PHPMS	Hiraoka, Kudaka, et al., 1991	gas phase
Quantity	Value	Units	Method	Reference	Comment
Δ_rS°	67.8	J/mol*K	PHPMS	Hiraoka, Kudaka, et al., 1991	gas phase

(CH₅⁺ • 2 Hydrogen ) + = (CH₅⁺ • 3)

By formula: (CH₅⁺ • 2H₂) + H₂ = (CH₅⁺ • 3H₂)

Quantity	Value	Units	Method	Reference	Comment
Δ_rH°	6.74 ± 0.42	kJ/mol	PHPMS	Hiraoka, Kudaka, et al., 1991	gas phase
Quantity	Value	Units	Method	Reference	Comment
Δ_rS°	94.6	J/mol*K	PHPMS	Hiraoka, Kudaka, et al., 1991	gas phase

(CH₅⁺ • 3 Hydrogen ) + = (CH₅⁺ • 4)

By formula: (CH₅⁺ • 3H₂) + H₂ = (CH₅⁺ • 4H₂)

Quantity	Value	Units	Method	Reference	Comment
Δ_rH°	6.57 ± 0.42	kJ/mol	PHPMS	Hiraoka, Kudaka, et al., 1991	gas phase
Quantity	Value	Units	Method	Reference	Comment
Δ_rS°	108.	J/mol*K	PHPMS	Hiraoka, Kudaka, et al., 1991	gas phase

C₃H₇⁺ + Hydrogen = (C₃H₇⁺ • )

By formula: C₃H₇⁺ + H₂ = (C₃H₇⁺ • H₂)

Quantity	Value	Units	Method	Reference	Comment
Δ_rH°	10.	kJ/mol	PHPMS	Hiraoka and Kebarle, 1976	gas phase; Entropy change calculated or estimated, DG<, Δ_rH<
Quantity	Value	Units	Method	Reference	Comment
Δ_rS°	84.	J/mol*K	N/A	Hiraoka and Kebarle, 1976	gas phase; Entropy change calculated or estimated, DG<, Δ_rH<

Free energy of reaction

Δ_rG° (kJ/mol)	T (K)	Method	Reference	Comment
4.	170.	PHPMS	Hiraoka and Kebarle, 1976	gas phase; Entropy change calculated or estimated, DG<, Δ_rH<

( • ) + Hydrogen = ( • • )

By formula: (Co⁺ • CH₄) + H₂ = (Co⁺ • H₂ • CH₄)

Quantity	Value	Units	Method	Reference	Comment
Δ_rS°	95.8	J/mol*K	SIDT	Kemper, Bushnell, et al., 1993	gas phase; switching reaction(Co+).2H2, Δ_rS(440 K); Kemper, Bushnell, et al., 1993, 2

Enthalpy of reaction

Δ_rH° (kJ/mol)	T (K)	Method	Reference	Comment
73. (+3.,-0.)		SIDT	Kemper, Bushnell, et al., 1993	gas phase; switching reaction(Co+).2H2, Δ_rS(440 K); Kemper, Bushnell, et al., 1993, 2

( • ) + Hydrogen = ( • • )

By formula: (Co⁺ • H₂O) + H₂ = (Co⁺ • H₂ • H₂O)

Quantity	Value	Units	Method	Reference	Comment
Δ_rS°	103.	J/mol*K	SIDT	Kemper, Bushnell, et al., 1993	gas phase; Δ_rS(530 K)

Enthalpy of reaction

Δ_rH° (kJ/mol)	T (K)	Method	Reference	Comment
83. (+3.,-0.)		SIDT	Kemper, Bushnell, et al., 1993	gas phase; Δ_rS(530 K)

+ Hydrogen = ( • )

By formula: Co⁺ + H₂ = (Co⁺ • H₂)

Quantity	Value	Units	Method	Reference	Comment
Δ_rH°	82. ± 4.	kJ/mol	SIDT	Kemper, Bushnell, et al., 1993, 2	gas phase; Δ_rH(O K)=76.1 kJ/mol, Δ_rS(300 K)=86.2 J/mol*K
Quantity	Value	Units	Method	Reference	Comment
Δ_rS°	92.0	J/mol*K	SIDT	Kemper, Bushnell, et al., 1993, 2	gas phase; Δ_rH(O K)=76.1 kJ/mol, Δ_rS(300 K)=86.2 J/mol*K

Enthalpy of reaction

Δ_rH° (kJ/mol)	T (K)	Method	Reference	Comment
73.2 (+9.6,-0.)		CID	Haynes and Armentrout, 1996	gas phase; guided ion beam CID

( • Hydrogen ) + = ( • 2)

By formula: (Co⁺ • H₂) + H₂ = (Co⁺ • 2H₂)

Quantity	Value	Units	Method	Reference	Comment
Δ_rH°	75. ± 3.	kJ/mol	SIDT	Kemper, Bushnell, et al., 1993, 2	gas phase; Δ_rH(0 K)=71.1 kJ/mol, Δ_rS(300 K)=103. J/mol*K
Quantity	Value	Units	Method	Reference	Comment
Δ_rS°	103.	J/mol*K	SIDT	Kemper, Bushnell, et al., 1993, 2	gas phase; Δ_rH(0 K)=71.1 kJ/mol, Δ_rS(300 K)=103. J/mol*K

( • 2 Hydrogen ) + = ( • 3)

By formula: (Co⁺ • 2H₂) + H₂ = (Co⁺ • 3H₂)

Quantity	Value	Units	Method	Reference	Comment
Δ_rH°	44. ± 2.	kJ/mol	SIDT	Kemper, Bushnell, et al., 1993, 2	gas phase; Δ_rH(0 K)=40. kJ/mol, Δ_rS(300 K)=85.8 J/mol*K
Quantity	Value	Units	Method	Reference	Comment
Δ_rS°	85.8	J/mol*K	SIDT	Kemper, Bushnell, et al., 1993, 2	gas phase; Δ_rH(0 K)=40. kJ/mol, Δ_rS(300 K)=85.8 J/mol*K

( • 3 Hydrogen ) + = ( • 4)

By formula: (Co⁺ • 3H₂) + H₂ = (Co⁺ • 4H₂)

Quantity	Value	Units	Method	Reference	Comment
Δ_rH°	44. ± 3.	kJ/mol	SIDT	Kemper, Bushnell, et al., 1993, 2	gas phase; Δ_rH(0 K)=40. kJ/mol, Δ_rS(300 K)=105. J/mol*K
Quantity	Value	Units	Method	Reference	Comment
Δ_rS°	101.	J/mol*K	SIDT	Kemper, Bushnell, et al., 1993, 2	gas phase; Δ_rH(0 K)=40. kJ/mol, Δ_rS(300 K)=105. J/mol*K

( • 4 Hydrogen ) + = ( • 5)

By formula: (Co⁺ • 4H₂) + H₂ = (Co⁺ • 5H₂)

Quantity	Value	Units	Method	Reference	Comment
Δ_rH°	22. ± 3.	kJ/mol	SIDT	Kemper, Bushnell, et al., 1993, 2	gas phase; Δ_rH(0 K)=18. kJ/mol, Δ_rS(300 K)=91.6 J/mol*K
Quantity	Value	Units	Method	Reference	Comment
Δ_rS°	94.1	J/mol*K	SIDT	Kemper, Bushnell, et al., 1993, 2	gas phase; Δ_rH(0 K)=18. kJ/mol, Δ_rS(300 K)=91.6 J/mol*K

( • 5 Hydrogen ) + = ( • 6)

By formula: (Co⁺ • 5H₂) + H₂ = (Co⁺ • 6H₂)

Quantity	Value	Units	Method	Reference	Comment
Δ_rH°	20. ± 3.	kJ/mol	SIDT	Kemper, Bushnell, et al., 1993, 2	gas phase; Δ_rH(0 K)=17. kJ/mol, Δ_rS(300 K)=99.6 J/mol*K
Quantity	Value	Units	Method	Reference	Comment
Δ_rS°	99.2	J/mol*K	SIDT	Kemper, Bushnell, et al., 1993, 2	gas phase; Δ_rH(0 K)=17. kJ/mol, Δ_rS(300 K)=99.6 J/mol*K

( • 6 Hydrogen ) + = ( • 7)

By formula: (Co⁺ • 6H₂) + H₂ = (Co⁺ • 7H₂)

Quantity	Value	Units	Method	Reference	Comment
Δ_rH°	6. ± 3.	kJ/mol	SIDT	Kemper, Bushnell, et al., 1993, 2	gas phase; Δ_rH(0 K)=3. kJ/mol; Δ_rS(300 K)=75.3 J/mol*K
Quantity	Value	Units	Method	Reference	Comment
Δ_rS°	75.3	J/mol*K	SIDT	Kemper, Bushnell, et al., 1993, 2	gas phase; Δ_rH(0 K)=3. kJ/mol; Δ_rS(300 K)=75.3 J/mol*K

+ Hydrogen = ( • )

By formula: Fe⁺ + H₂ = (Fe⁺ • H₂)

Quantity	Value	Units	Method	Reference	Comment
Δ_rH°	52.3 ± 0.8	kJ/mol	SIDT	Bushnell, Kemper, et al., 1995	gas phase; Δ_rH(0K) = 45.2 kJ/mol
Quantity	Value	Units	Method	Reference	Comment
Δ_rS°	90.0	J/mol*K	SIDT	Bushnell, Kemper, et al., 1995	gas phase; Δ_rH(0K) = 45.2 kJ/mol

( • Hydrogen ) + = ( • 2)

By formula: (Fe⁺ • H₂) + H₂ = (Fe⁺ • 2H₂)

Quantity	Value	Units	Method	Reference	Comment
Δ_rH°	71.1 ± 0.8	kJ/mol	SIDT	Bushnell, Kemper, et al., 1995	gas phase; Δ_rH(0K) = 65.7 kJ/mol
Quantity	Value	Units	Method	Reference	Comment
Δ_rS°	105.	J/mol*K	SIDT	Bushnell, Kemper, et al., 1995	gas phase; Δ_rH(0K) = 65.7 kJ/mol

( • 2 Hydrogen ) + = ( • 3)

By formula: (Fe⁺ • 2H₂) + H₂ = (Fe⁺ • 3H₂)

Quantity	Value	Units	Method	Reference	Comment
Δ_rH°	35. ± 0.4	kJ/mol	SIDT	Bushnell, Kemper, et al., 1995	gas phase; Δ_rH(0K) = 31. kJ/mol
Quantity	Value	Units	Method	Reference	Comment
Δ_rS°	79.9	J/mol*K	SIDT	Bushnell, Kemper, et al., 1995	gas phase; Δ_rH(0K) = 31. kJ/mol

( • 3 Hydrogen ) + = ( • 4)

By formula: (Fe⁺ • 3H₂) + H₂ = (Fe⁺ • 4H₂)

Quantity	Value	Units	Method	Reference	Comment
Δ_rH°	41. ± 0.4	kJ/mol	SIDT	Bushnell, Kemper, et al., 1995	gas phase; Δ_rH(0K) = 36. kJ/mol
Quantity	Value	Units	Method	Reference	Comment
Δ_rS°	104.	J/mol*K	SIDT	Bushnell, Kemper, et al., 1995	gas phase; Δ_rH(0K) = 36. kJ/mol

( • 4 Hydrogen ) + = ( • 5)

By formula: (Fe⁺ • 4H₂) + H₂ = (Fe⁺ • 5H₂)

Quantity	Value	Units	Method	Reference	Comment
Δ_rH°	11. ± 0.4	kJ/mol	SIDT	Bushnell, Kemper, et al., 1995	gas phase; Δ_rH(0K) = 9.2 kJ/mol
Quantity	Value	Units	Method	Reference	Comment
Δ_rS°	74.9	J/mol*K	SIDT	Bushnell, Kemper, et al., 1995	gas phase; Δ_rH(0K) = 9.2 kJ/mol

( • 5 Hydrogen ) + = ( • 6)

By formula: (Fe⁺ • 5H₂) + H₂ = (Fe⁺ • 6H₂)

Quantity	Value	Units	Method	Reference	Comment
Δ_rH°	11. ± 0.4	kJ/mol	SIDT	Bushnell, Kemper, et al., 1995	gas phase; Δ_rH(0K) = 9.6 kJ/mol
Quantity	Value	Units	Method	Reference	Comment
Δ_rS°	75.7	J/mol*K	SIDT	Bushnell, Kemper, et al., 1995	gas phase; Δ_rH(0K) = 9.6 kJ/mol

HN₂⁺ + Hydrogen = (HN₂⁺ • )

By formula: HN₂⁺ + H₂ = (HN₂⁺ • H₂)

Quantity	Value	Units	Method	Reference	Comment
Δ_rH°	30.	kJ/mol	PHPMS	Hiraoka, Saluja, et al., 1979	gas phase
Quantity	Value	Units	Method	Reference	Comment
Δ_rS°	94.6	J/mol*K	PHPMS	Hiraoka, Saluja, et al., 1979	gas phase

(HN₂⁺ • Hydrogen ) + = (HN₂⁺ • 2)

By formula: (HN₂⁺ • H₂) + H₂ = (HN₂⁺ • 2H₂)

Quantity	Value	Units	Method	Reference	Comment
Δ_rH°	7.5	kJ/mol	PHPMS	Hiraoka, Saluja, et al., 1979	gas phase
Quantity	Value	Units	Method	Reference	Comment
Δ_rS°	71.	J/mol*K	PHPMS	Hiraoka, Saluja, et al., 1979	gas phase

+ Hydrogen = ( • )

By formula: HO^- + H₂ = (HO^- • H₂)

Quantity	Value	Units	Method	Reference	Comment
Δ_rH°	30.	kJ/mol	CID	Paulson and Henchman, 1984	gas phase; approximate value

HO₂⁺ + Hydrogen = (HO₂⁺ • )

By formula: HO₂⁺ + H₂ = (HO₂⁺ • H₂)

Quantity	Value	Units	Method	Reference	Comment
Δ_rH°	52.3	kJ/mol	PHPMS	Hiraoka, Saluja, et al., 1979	gas phase
Quantity	Value	Units	Method	Reference	Comment
Δ_rS°	92.	J/mol*K	PHPMS	Hiraoka, Saluja, et al., 1979	gas phase

(HO₂⁺ • ) + Hydrogen = (HO₂⁺ • • )

By formula: (HO₂⁺ • O₂) + H₂ = (HO₂⁺ • H₂ • O₂)

Quantity	Value	Units	Method	Reference	Comment
Δ_rH°	17.	kJ/mol	PHPMS	Hiraoka, Saluja, et al., 1979	gas phase
Quantity	Value	Units	Method	Reference	Comment
Δ_rS°	71.	J/mol*K	PHPMS	Hiraoka, Saluja, et al., 1979	gas phase

H₃⁺ + Hydrogen = (H₃⁺ • )

By formula: H₃⁺ + H₂ = (H₃⁺ • H₂)

Quantity	Value	Units	Method	Reference	Comment
Δ_rH°	29. ± 2.	kJ/mol	AVG	N/A	Average of 4 out of 11 values; Individual data points
Quantity	Value	Units	Method	Reference	Comment
Δ_rS°	72.8 to 72.8	J/mol*K	RNG	N/A	Range of 6 values; Individual data points

(H₃⁺ • Hydrogen ) + = (H₃⁺ • 2)

By formula: (H₃⁺ • H₂) + H₂ = (H₃⁺ • 2H₂)

Quantity	Value	Units	Method	Reference	Comment
Δ_rH°	14. ± 0.8	kJ/mol	PHPMS	Hiraoka, 1987	gas phase
Δ_rH°	13.	kJ/mol	HPMS	Beuhler, Ehrenson, et al., 1983	gas phase
Δ_rH°	14.	kJ/mol	HPMS	Beuhler, Ehrenson, et al., 1983	gas phase; deuterated
Δ_rH°	17.	kJ/mol	PHPMS	Hiraoka and Kebarle, 1975, 2	gas phase
Δ_rH°	7.5	kJ/mol	HPMS	Bennett and Field, 1972	gas phase; Entropy change is questionable
Quantity	Value	Units	Method	Reference	Comment
Δ_rS°	72.8	J/mol*K	PHPMS	Hiraoka, 1987	gas phase
Δ_rS°	70.7	J/mol*K	HPMS	Beuhler, Ehrenson, et al., 1983	gas phase
Δ_rS°	67.4	J/mol*K	HPMS	Beuhler, Ehrenson, et al., 1983	gas phase; deuterated
Δ_rS°	82.8	J/mol*K	PHPMS	Hiraoka and Kebarle, 1975, 2	gas phase
Δ_rS°	45.2	J/mol*K	HPMS	Bennett and Field, 1972	gas phase; Entropy change is questionable

(H₃⁺ • 2 Hydrogen ) + = (H₃⁺ • 3)

By formula: (H₃⁺ • 2H₂) + H₂ = (H₃⁺ • 3H₂)

Quantity	Value	Units	Method	Reference	Comment
Δ_rH°	13. ± 0.4	kJ/mol	PHPMS	Hiraoka, 1987	gas phase
Δ_rH°	16.	kJ/mol	PHPMS	Hiraoka and Kebarle, 1975, 2	gas phase
Quantity	Value	Units	Method	Reference	Comment
Δ_rS°	77.4	J/mol*K	PHPMS	Hiraoka, 1987	gas phase
Δ_rS°	84.5	J/mol*K	PHPMS	Hiraoka and Kebarle, 1975, 2	gas phase

(H₃⁺ • 3 Hydrogen ) + = (H₃⁺ • 4)

By formula: (H₃⁺ • 3H₂) + H₂ = (H₃⁺ • 4H₂)

Quantity	Value	Units	Method	Reference	Comment
Δ_rH°	7.2 ± 0.4	kJ/mol	PHPMS	Hiraoka, 1987	gas phase
Δ_rH°	10.	kJ/mol	PHPMS	Hiraoka and Kebarle, 1975, 2	gas phase
Quantity	Value	Units	Method	Reference	Comment
Δ_rS°	74.9	J/mol*K	PHPMS	Hiraoka, 1987	gas phase
Δ_rS°	80.8	J/mol*K	PHPMS	Hiraoka and Kebarle, 1975, 2	gas phase

(H₃⁺ • 4 Hydrogen ) + = (H₃⁺ • 5)

By formula: (H₃⁺ • 4H₂) + H₂ = (H₃⁺ • 5H₂)

Quantity	Value	Units	Method	Reference	Comment
Δ_rH°	6.9 ± 0.4	kJ/mol	PHPMS	Hiraoka, 1987	gas phase
Quantity	Value	Units	Method	Reference	Comment
Δ_rS°	79.1	J/mol*K	PHPMS	Hiraoka, 1987	gas phase

(H₃⁺ • 5 Hydrogen ) + = (H₃⁺ • 6)

By formula: (H₃⁺ • 5H₂) + H₂ = (H₃⁺ • 6H₂)

Quantity	Value	Units	Method	Reference	Comment
Δ_rH°	6.4 ± 0.4	kJ/mol	PHPMS	Hiraoka, 1987	gas phase
Quantity	Value	Units	Method	Reference	Comment
Δ_rS°	83.7	J/mol*K	PHPMS	Hiraoka, 1987	gas phase

(H₃⁺ • 6 Hydrogen ) + = (H₃⁺ • 7)

By formula: (H₃⁺ • 6H₂) + H₂ = (H₃⁺ • 7H₂)

Quantity	Value	Units	Method	Reference	Comment
Δ_rH°	3.7 ± 0.4	kJ/mol	PHPMS	Hiraoka, 1987	gas phase
Quantity	Value	Units	Method	Reference	Comment
Δ_rS°	69.0	J/mol*K	PHPMS	Hiraoka, 1987	gas phase

(H₃⁺ • 7 Hydrogen ) + = (H₃⁺ • 8)

By formula: (H₃⁺ • 7H₂) + H₂ = (H₃⁺ • 8H₂)

Quantity	Value	Units	Method	Reference	Comment
Δ_rH°	3.3 ± 0.4	kJ/mol	PHPMS	Hiraoka, 1987	gas phase
Quantity	Value	Units	Method	Reference	Comment
Δ_rS°	74.9	J/mol*K	PHPMS	Hiraoka, 1987	gas phase

(H₃⁺ • 8 Hydrogen ) + = (H₃⁺ • 9)

By formula: (H₃⁺ • 8H₂) + H₂ = (H₃⁺ • 9H₂)

Quantity	Value	Units	Method	Reference	Comment
Δ_rH°	2.6 ± 0.4	kJ/mol	PHPMS	Hiraoka, 1987	gas phase
Quantity	Value	Units	Method	Reference	Comment
Δ_rS°	79.9	J/mol*K	PHPMS	Hiraoka, 1987	gas phase

+ Hydrogen = ( • )

By formula: H₃O⁺ + H₂ = (H₃O⁺ • H₂)

Quantity	Value	Units	Method	Reference	Comment
Δ_rH°	15. ± 2.	kJ/mol	SCATTERING	Okumura, Yeh, et al., 1990	gas phase

+ Hydrogen = ( • )

By formula: K⁺ + H₂ = (K⁺ • H₂)

Quantity	Value	Units	Method	Reference	Comment
Δ_rH°	7.78	kJ/mol	SIDT	Bushnell, Kemper, et al., 1994	gas phase; Δ_rH(0K) = 6.07 kJ/mol
Quantity	Value	Units	Method	Reference	Comment
Δ_rS°	56.5	J/mol*K	SIDT	Bushnell, Kemper, et al., 1994	gas phase; Δ_rH(0K) = 6.07 kJ/mol

( • Hydrogen ) + = ( • 2)

By formula: (K⁺ • H₂) + H₂ = (K⁺ • 2H₂)

Quantity	Value	Units	Method	Reference	Comment
Δ_rH°	6.15	kJ/mol	SIDT	Bushnell, Kemper, et al., 1994	gas phase; Δ_rH(0K) = 5.65 kJ/mol
Quantity	Value	Units	Method	Reference	Comment
Δ_rS°	46.9	J/mol*K	SIDT	Bushnell, Kemper, et al., 1994	gas phase; Δ_rH(0K) = 5.65 kJ/mol

+ Hydrogen = ( • )

By formula: Li⁺ + H₂ = (Li⁺ • H₂)

Quantity	Value	Units	Method	Reference	Comment
Δ_rH°	27. ± 19.	kJ/mol	EI	Wu, 1979	gas phase

+ Hydrogen = ( • )

By formula: Na⁺ + H₂ = (Na⁺ • H₂)

Quantity	Value	Units	Method	Reference	Comment
Δ_rH°	12.3	kJ/mol	SIDT	Bushnell, Kemper, et al., 1994	gas phase; Δ_rH(0K) = 10.3 kJ/mol
Quantity	Value	Units	Method	Reference	Comment
Δ_rS°	55.2	J/mol*K	SIDT	Bushnell, Kemper, et al., 1994	gas phase; Δ_rH(0K) = 10.3 kJ/mol

( • Hydrogen ) + = ( • 2)

By formula: (Na⁺ • H₂) + H₂ = (Na⁺ • 2H₂)

Quantity	Value	Units	Method	Reference	Comment
Δ_rH°	10.1	kJ/mol	SIDT	Bushnell, Kemper, et al., 1994	gas phase; Δ_rH(0K) = 9.41 kJ/mol
Quantity	Value	Units	Method	Reference	Comment
Δ_rS°	51.9	J/mol*K	SIDT	Bushnell, Kemper, et al., 1994	gas phase; Δ_rH(0K) = 9.41 kJ/mol

Mass spectrum (electron ionization)

Go To: Top, Henry's Law data, Gas phase ion energetics data, Ion clustering data, Constants of diatomic molecules, References, Notes

Data compiled by: NIST Mass Spectrometry Data Center, William E. Wallace, director

Spectrum

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Origin	American Petroleum Institute Research Project 44
NIST MS number	245692

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Constants of diatomic molecules

Go To: Top, Henry's Law data, Gas phase ion energetics data, Ion clustering data, Mass spectrum (electron ionization), References, Notes

Data compiled by: Klaus P. Huber and Gerhard H. Herzberg

Data collected through November, 1976

Symbols used in the table of constants
Symbol	Meaning
State	electronic state and / or symmetry symbol
T_e	minimum electronic energy (cm^-1)
ω_e	vibrational constant – first term (cm^-1)
ω_ex_e	vibrational constant – second term (cm^-1)
ω_ey_e	vibrational constant – third term (cm^-1)
B_e	rotational constant in equilibrium position (cm^-1)
α_e	rotational constant – first term (cm^-1)
γ_e	rotation-vibration interaction constant (cm^-1)
D_e	centrifugal distortion constant (cm^-1)
β_e	rotational constant – first term, centrifugal force (cm^-1)
r_e	internuclear distance (Å)
Trans.	observed transition(s) corresponding to electronic state
ν₀₀	position of 0-0 band (units noted in table)

Diatomic constants for H₂
State	T_e	ω_e	ω_ex_e	ω_ey_e	B_e	α_e	γ_e	D_e	β_e	r_e	Trans.	ν₀₀
WAVELENGTH TABLES of the H₂ spectrum from 2800 to 29000 Å with assignments of many of the lines Crosswhite, 1972. The TABLES OF ENERGY LEVELS Dieke, 1958 are also very useful as long as it is realized that the absolute values of the energy levels (n≥2) relative to the ground state need correction. Graphs and tables of POTENTIAL ENERGY CURVES for all known states of H₂, H₂⁺, and H₂^- Sharp, 1971.See note 1
Fragments of three other triplet systems. 2
u ³Π_u 6pπ	[123488.₀] 3				[29.3]			[0.023]		[1.06₉]	u → a	26232.3 4
u ³Π_u 6pπ	↳Richardson, 1934; Dieke, 1958
t ³Σ_u⁺ 5fσ	(121292) 5	(2661.4)	(121.9)		6						t → a	(25342)
t ³Σ_u⁺ 5fσ	↳Richardson, Yarrow, et al., 1934
q (³Σ_g⁺) 5dσ	(121295) 5	[2172.6]			6						q → c	(25325) 4
q (³Σ_g⁺) 5dσ	↳Richardson, Yarrow, et al., 1934, 2
State	T_e	ω_e	ω_ex_e	ω_ey_e	B_e	α_e	γ_e	D_e	β_e	r_e	Trans.	ν₀₀
n ³Π_u 5pπ	120952.₉	2321.4	62.8₆		29.9₅	1.24 7		[0.023]		1.057	n → a	24847.3 4
n ³Π_u 5pπ	↳Richardson, 1934; Dieke, 1958
m ³Σ_u⁺ 4fσ	(119317) 8	[2457.1]			6						m → a	23295.1 9
m ³Σ_u⁺ 4fσ	↳Richardson, Yarrow, et al., 1934
s ³Δ_g 4dδ	118875.₂	2291.7 10	62.4₄ 10		11						s → c	22949.3 12
s ³Δ_g 4dδ	↳Richardson, 1934; Foster and Richardson, 1953; Dieke, 1958
r ³Π_g 4dπ	118613.₇	2280.3 13	57.9₆ 13		11						r → c	22683.2 13
r ³Π_g 4dπ	↳Richardson, 1934; Foster and Richardson, 1953; Dieke, 1958
State	T_e	ω_e	ω_ex_e	ω_ey_e	B_e	α_e	γ_e	D_e	β_e	r_e	Trans.	ν₀₀
p ³Σ_g⁺ 4dσ	118509.₈	2303.1	76.9₀		6						p-k 14
	↳Miller and Freund, 1975
											p → c	22586.0 4
	↳Richardson, 1934; Foster and Richardson, 1953; Dieke, 1958
v (³Π_g)	(118330) 15	2340	(57)		[(29.1)]					[(1.07₂)]	v → c	(22430)
v (³Π_g)	↳Richardson, Yarrow, et al., 1934, 2
k ³Π_u 4pπ	118366.₂ 16	2344.37	67.2₉ 17	0.99	30.07₄	1.46₂ 18		[0.018₅]		1.054₇	k → a	22271.0 4
k ³Π_u 4pπ	↳Richardson, 1934; Cunningham and Dieke, 1950; Dieke, 1958
State	T_e	ω_e	ω_ex_e	ω_ey_e	B_e	α_e	γ_e	D_e	β_e	r_e	Trans.	ν₀₀
f ³Σ_u⁺ 4pσ	(116705)	[2143.6] 19			[27.0] 19					[1.11]	f → a	20526.0 19
f ³Σ_u⁺ 4pσ	↳Richardson, 1934; Dieke, 1958
o ³Σ_u⁺	(114234) 20	2399.1	91.0		[35]					[0.98]	o → a	(18160)
o ³Σ_u⁺	↳Richardson, Yarrow, et al., 1934
l ³Π_u	113825 21	2596.8	106.0		[36]					[0.96]	l → a	17846 4
l ³Π_u	↳Richardson, Yarrow, et al., 1934
j ³Δ_g 3dδ	(113533)	2345.2₆ 22	66.5₆	0.745	30.08₅ 22	1.69₂		0.019₀		1.0545	j ↔ c 23 R	17633.0 24
j ³Δ_g 3dδ	↳Richardson, 1934; Dieke, 1958
State	T_e	ω_e	ω_ex_e	ω_ey_e	B_e	α_e	γ_e	D_e	β_e	r_e	Trans.	ν₀₀
i ³Π_g 3dπ	(113132)	2253.5₅ 22	67.0₅ 25		29.22₁ 22	1.50₆		0.017₆		1.0700	i-d 26
	↳Freund and Miller, 1974
											i → e R	5384.81 27
	↳Gloersen and Dieke, 1965
											i ↔ c 23 R	17185.8 24
	↳Richardson, 1934; Dieke, 1958
h ³Σ_g⁺ 3sσ	(112913)	[2268.7₃] 28			[30.6₂] 28					1.045 1	h → c	16990.8 29
h ³Σ_g⁺ 3sσ	↳Richardson, Yarrow, et al., 1934, 3; Dieke, 1958
State	T_e	ω_e	ω_ex_e	ω_ey_e	B_e	α_e	γ_e	D_e	β_e	r_e	Trans.	ν₀₀
g ³Σ_g⁺ 3dσ	112854.₄	2290.8₆	105.4₃ 30	2.403	31						g → e R	5116.6
	↳Gloersen and Dieke, 1965
											g ↔ c 23	16917.6 29
	↳Richardson, 1934; Richardson, Yarrow, et al., 1934, 3; Dieke, 1958
d ³Π_u 3pπ	112700.₃ 32	2371.58 33	66.27	0.88	30.364 33 34	1.545		[1.91]		1.0496	d → a 35 R	16619.0 29
d ³Π_u 3pπ	↳Dieke and Blue, 1935; Dieke, 1958
e ³Σ_u⁺ 3pσ	107774.₇	2196.13	65.80	-0.433	27.30	1.515				1.107	e → a R	11605.6
e ³Σ_u⁺ 3pσ	↳Richardson, 1934; Dieke, 1935
State	T_e	ω_e	ω_ex_e	ω_ey_e	B_e	α_e	γ_e	D_e	β_e	r_e	Trans.	ν₀₀
a ³Σ_g⁺ 2sσ	95936.₁ 36	2664.83	71.65 37	0.92	34.216	1.671		[0.0216]		0.9887₉	a → b 38 39
a ³Σ_g⁺ 2sσ											(a-X)	95076.4 36
c ³Π_u 3pπ	95838.₅ 40	2466.8₉	63.51	0.552	31.07 41 42	1.42₅		[0.019₅]		1.037₆	(c-X)	94881.₀ 43
b ³Σ_u⁺²pσ	Unstable; lower state of the continuous spectrum of H₂ (a → b). Pot. function Kolos and Wolniewicz, 1965.
Several excited states above the ionization limit, established by electron impact studies and leading to two exited atoms or H + H⁺.
Continuous absorption above ~130000 cm^-1. 44
v'=0 Rydberg series of rotational levels observed in low temperature absorption from X ¹Σ_g⁺, v"=0, J"=0 and 1 and converging to:
Rydberg	N=2 of H₂⁺: J=1 levels of npπ ¹Π_u⁺ (n=6,...,32, joining on to C, D, D', D")45; ν = 124591.5 46 - R/(n + 0.082)². Similar series with v'=1,...,6 47. R(0) lines (para H₂)
	↳Herzberg, 1969; Takezawa, 1970, 2; missing citation
	N=1 of H₂⁺: J=1 levels of npπ ¹Π_u^- (n=6,...,43, joining on to C, D, D', D")48; ν = 124476.0 46 - R/(n + 0.082)². Similar series with v'=1,...,5. Q(1) lines (ortho H₂)
	↳Herzberg, 1969; Takezawa, 1970, 2; missing citation
	N=1 of H₂⁺: J=0 levels of npσ ¹Σ_u⁺ (n=5,...,19, joining on to B, B', B")48; ν = 124476.0 46 - R/(n + 0.203)². Similar series with v'=1,2,3. P(1) lines (ortho H₂)
	↳Takezawa, 1970, 2; missing citation
	N=0 of H₂⁺: J=1 levels of npσ ¹Σ_u⁺ (n=5,...,40, joining on to B, B', B")45; ν = 124417.0 46 - R/(n + 0.203)². Similar series with v'=1,...,6. 5 R(0) lines (para H₂)
	↳Herzberg, 1969; Takezawa, 1970, 2; missing citation
B bar ¹Σ_u⁺	State causing ion-pair formation after excitation of higher Rydberg states; also responsible for perturbations in B' ¹Σ_u⁺. Correlates at small r with B" ¹Σ_u⁺, forming a double-minimum state.
B bar ¹Σ_u⁺	↳Dabrowski and Herzberg, 1974; Chupka, Dehmer, et al., 1975; Kolos, 1976
State	T_e	ω_e	ω_ex_e	ω_ey_e	B_e	α_e	γ_e	D_e	β_e	r_e	Trans.	ν₀₀
D" ¹Π_u 5pπ	121211.0 49	2319.92 49	63.041		30.7₆ 50 51	1.45 50		(0.03)		1.043	D" ← X R	120176.0 49
D" ¹Π_u 5pπ	↳Monfils, 1965; Monfils, 1968
D' ¹Π_u 4pπ	118865.3 49	2329.97 49	63.140		29.8₉ 52 51	1.11 52	-0.53	[0.025] 52		[(1.058)]	D' ← X R	117835.2 49
D' ¹Π_u 4pπ	↳Namioka, 1964; Monfils, 1965; Monfils, 1968
S ¹Δ_g 4dδ	[119893] 53 3				[(28.8)] 54					[(1.07₈)]	S → B V	27510
S ¹Δ_g 4dδ	↳Richardson, 1934; Dieke, 1958
O ¹Σ⁺ 4sσ	[(119870)] 55 3				[(32)]					[(1.0₂)]	O → B V	(27487) 56
O ¹Σ⁺ 4sσ	↳Richardson, 1934
State	T_e	ω_e	ω_ex_e	ω_ey_e	B_e	α_e	γ_e	D_e	β_e	r_e	Trans.	ν₀₀
R ¹Π_g 4dπ	(118688) 57	[2142] 58			[(30)] 54					[(1.0₆)]	(R → C)	(18488)
	↳Richardson, 1934; Dieke, 1958
											R → B V	27376 45
	↳Richardson, 1934; Dieke, 1958
P ¹Σ_g⁺ 4dσ	[119531] 59 3				[(30)] 54					[(1.0₆)]	(P → C)	18260 49
	↳Richardson, 1934; Dieke, 1958
											P → B V	27148 60
	↳Richardson, 1934; Dieke, 1958
State	T_e	ω_e	ω_ex_e	ω_ey_e	B_e	α_e	γ_e	D_e	β_e	r_e	Trans.	ν₀₀
T ¹Σ⁺	[119512.6] 61 3				[(25.4)]					[(1.14₈)]	T → B V	27130.1
T ¹Σ⁺	↳Richardson, 1934; Dieke, 1958
B" ¹Σ_u⁺ 4pσ	117984.5	2197.5	68.136		26.68 62 63	1.19 62		[0.034]		[(1.119₈)]	B" ← X R	116886.9 64
B" ¹Σ_u⁺ 4pσ	↳missing citation; Monfils, 1965; Monfils, 1968; missing citation
N ¹Σ_g⁺	(116287) 65	[1983.3]			[(18.4)]					[(1.35)]	N → B R	24896.4
N ¹Σ_g⁺	↳Richardson, 1934; Dieke, 1958
U (¹Σ_g⁺)	[116707.7] 65 66				[(18.8)]					[(1.33)]	U → B 67 R	24325.1
U (¹Σ_g⁺)	↳Richardson, 1934; Dieke, 1958
State	T_e	ω_e	ω_ex_e	ω_ey_e	B_e	α_e	γ_e	D_e	β_e	r_e	Trans.	ν₀₀
M ¹Σ_g⁺	(114485) 65	[2176.0]			[(13)]					[(1.6₀)]	M → B R	23190.0 68
M ¹Σ_g⁺	↳Richardson, 1934; Dieke, 1958
L ¹Σ_g⁺	(114520) 65	[(1835)]			[(9.7)]					[(1.8₆)]	L → B R	23054.8
L ¹Σ_g⁺	↳Richardson, 1934; Dieke, 1958
H ¹Σ_g⁺ 3sσ	113899 69	2538	124		[(29.5)]					[(1.06₅)]	H → C R	13866.6
	↳Richardson, 1934; Dieke, 1958
											H → B V	22754.1 70
	↳Richardson, 1934; Dieke, 1958
State	T_e	ω_e	ω_ex_e	ω_ey_e	B_e	α_e	γ_e	D_e	β_e	r_e	Trans.	ν₀₀
D ¹Π_u 3pπ	113888.7	2359.91	68.81₆ 71		30.29₆ 72 73 63	1.42 72		0.0201 74		1.0508	D → E R	13709.₇
	↳Richardson, 1937; Dieke, 1958
											D ↔ X 75 R	112872.3 76
	↳missing citation; Monfils, 1965; Monfils, 1968; missing citation
J ¹Δ_g 3dδ	(113550)	2341.1₅ 77	63.2₃ 77		30.08₁ 77	1.71₈ 77		0.018₉ 77		1.0546	J → C 78 R	13435.6 79
	↳Richardson, 1934; Dieke, 1958
											J → B 78 V	22322.5 79
	↳Richardson, 1934; Dieke, 1958
State	T_e	ω_e	ω_ex_e	ω_ey_e	B_e	α_e	γ_e	D_e	β_e	r_e	Trans.	ν₀₀
I ¹Π_g 3dπ	(113142) 80	2259.1₅ 77	78.4₁ 77 80		29.25₉ 77 81	1.58₄ 77		0.018₀ 77		1.0693	I → C 81 R	12982.5 82
	↳Richardson, 1934; Dieke and Lewis, 1937; Dieke, 1958
											I → B V	21869.5 82
	↳Richardson, 1934; Dieke and Lewis, 1937; Dieke, 1958
G ¹Σ_g⁺ 3dσ	112834 83	2343.9	55.9 84		[(28.4)] 85					[(1.08₅)]	G → C 86 85 R	12722.2 87
	↳Richardson, 1934; Dieke, 1958
											G → B 86 V	21609.2 87
	↳Richardson, 1934; Dieke, 1958
State	T_e	ω_e	ω_ex_e	ω_ey_e	B_e	α_e	γ_e	D_e	β_e	r_e	Trans.	ν₀₀
K (¹Σ_g⁺)	(112669) 88	[2232.59]	30		[10.8]					[1.76]	K → C R	12538.6
	↳Richardson, 1934; Dieke, 1958
											K → B R	21425.4
	↳Richardson, 1934; Dieke, 1958
Q (¹Π_g)	(113163) 89	[742]			[(16.3)]					1.43	Q → B R	21151.₁
Q (¹Π_g)	↳Richardson, Yarrow, et al., 1934; Dieke, 1958
B' ¹Σ_u⁺ 3pσ	111642.₈ 90	2039.52	83.406 91		26.70₅ 92	2.781 93		[0.012] 94		1.119₂	B' → E,F 95	11311.5 96
	↳Porto and Jannuzzi, 1963
											B' ← X 97 R	110478.2
	↳Namioka, 1964; Namioka, 1965; Monfils, 1965
State	T_e	ω_e	ω_ex_e	ω_ey_e	B_e	α_e	γ_e	D_e	β_e	r_e	Trans.	ν₀₀
F ¹Σ_g⁺ 2pσ²	100911 98 99	[1199] 98		100			101				F → B 102 R 103
F ¹Σ_g⁺ 2pσ²	↳Dieke, 1949; Porto and Jannuzzi, 1963
E ¹Σ_g⁺ 2sσ	100082.3 98 104	2588.9 104	130.5 104		32.68 104	1.818 104		[0.0228] 104		1.011₈	E → B 102 V	8961.23
E ¹Σ_g⁺ 2sσ	↳Dieke, 1936; Porto and Dieke, 1955; Dieke, 1958; Porto and Jannuzzi, 1963
C ¹Π_u 2pπ	100089.8 95	2443.77	69.524 105 106		31.362₉ 106	1.664₇ 107		0.0223	-0.0007₄	1.0327₉	C ↔ X 108 109 R	99120.1₇ 95
C ¹Π_u 2pπ	↳Dieke, 1938; Namioka, 1964, 2; Namioka, 1965; Dabrowski and Herzberg, 1974
B ¹Σ_u⁺ 2pσ	91700.0 110	1358.09	20.888 111		20.015₄ 112	1.1845 113		0.01625 114		1.2928₂	B ↔ X 115 116 117 R	90203.3₅
B ¹Σ_u⁺ 2pσ	↳Herzberg and Howe, 1959; Wilkinson, 1968; Dabrowski and Herzberg, 1974
State	T_e	ω_e	ω_ex_e	ω_ey_e	B_e	α_e	γ_e	D_e	β_e	r_e	Trans.	ν₀₀
X ¹Σ_g1sσ²	0	4401.21₃	121.33₆ 118		60.853₀ 119	3.062₂ 120		0.0471 121		0.74144 122
	↳Herzberg, 1950; Fink, Wiggins, et al., 1965; Terhune and Peters, 1959; Foltz, Rank, et al., 1966; Brannon, Church, et al., 1968
	Raman sp. 123
	↳Stoicheff, 1957; Foltz, Rank, et al., 1966
	Rotational 124 and nuclear rf magn. Reson.
	↳Harrick and Ramsey, 1952; Barnes, Bray, et al., 1954; Kolsky, Phipps, et al., 1952; Harrick, Barnes, et al., 1953

Notes

The T_e values for the upper states of the triplet transitions are based on T_e" for the lower state (a or c) and have been calculated assuming Y'₀₀ ~ Y"₀₀.

³B→c, ³C→c, 7pπ→a Richardson, 1934, Richardson, Yarrow, et al., 1934, 2.

Only v=0 observed.

Referred to the (non-existent) N=0 level in ³Π states; the N=1 levels of c ³Π (+ and -) lie 60.7 cm^-1 above N=0.

t and q are designated ³F and ³G, respectively, in Richardson, Yarrow, et al., 1934, 2, Richardson, Yarrow, et al., 1934.

The states g ³Σ_g⁺(3dσ), p ³Σ_g⁺(4dσ), q ³Σ_g⁺(5dσ), m ³Σ_u⁺(4fσ) and t ³Σ_u⁺(5fσ) are strongly affected by l-uncoupling. The N=1 levels lie below N=0 for v=0 and 1; meaningful B values cannot be given until the whole d and f complexes have been fully analyzed, see Ginter, 1967.

Represents B₀ and B₁ of ³Π^- only; B₂ = 26.26 Richardson, Yarrow, et al., 1934, B₃ = 24.54 Richardson, Yarrow, et al., 1934.

³E of Richardson, Yarrow, et al., 1934.

Refers to N'=0 which lies above N'=4 because of strong l-uncoupling.

Constants refer to N=2; from v= 0,1,2.

Because of strong l-uncoupling no meaningful B values can be given; see 6.

Refers to the N=2 level of s ³Δ_g^- above the hypothetical level N=0 of c ³Π_u; see 4.

The constants refer to N=1 of r ³Π_g^-; ν₀₀ is the energy above the hypothetical level N=0 of c(v=0), see 4.

Anticrossings and microwave transitions. The energy difference between k ³Π_u(v=1,N=3) and p ³Σ_g⁺(v=1,N=5) is +0.2785 cm^-1. Fine structure parameters.

³A of Richardson, Yarrow, et al., 1934, 2; probably a doubly excited state. The possibility (1sσ)(4fπ) mentioned by Richardson, Yarrow, et al., 1934, 2 and quoted in MOLSPEC 1 can be ruled out since it does not give rise to an even state.

A₀(ortho)= -0.00937 Freund, Miller, et al., 1973, Miller, Freund, et al., 1974, Miller and Freund, 1975, A₀(para)= -0.0071₀ cm^-1 Freund, Miller, et al., 1973, Miller, Freund, et al., 1974, Miller and Freund, 1975; also hyperfine structure investigated by these authors.

ω_ey_e= +0.99 Cunningham and Dieke, 1950.

From B₀ and B₁ of Π^- only Richardson, 1934.

Calculated from the data in Richardson, 1934 and Dieke, 1958. ΔG(1/2) and ν₀₀ refer to actual N=0 level which is strongly perturbed.

³D of Richardson, Yarrow, et al., 1934. Probably a doubly excited state: (2pσ)(3dσ).

³Y of Richardson, Yarrow, et al., 1934. Probably a doubly excited state: (2pσ)(3dπ).

These constants [from Ginter, 1967] refer to the ³Π^- and ³Δ^- components and are based on "Approximation 2" of Ginter, 1966 for the evaluation of the l-uncoupling. The observed levels are given by Dieke, 1958.

Observed in absorption in flash discharges Herzberg, 1967.

Lower component of N'=l (i ³Π) or 2 (J ³Δ) relative to the (non-existent) N"=0 level of c ³Π.

Ab initio calculations Browne, 1965, Wright and Davidson, 1965 give a pronounced potential maximum near 2.5 Å for this state.

Anticrossings and microwave transitions; i ³Π_g(v=3,N=2) is 1.9244 cm^-1 above d ³Π_g(v=3,N=1).

Refers to Π^-(N=1). Π⁺(N=1) is at 5471.70 cm^-1 above e ³Σ_u⁺(v=0,N=0). The rotational levels are very irregular, only partly on account of l-uncoupling.

From Dieke, 1958. ω_e = 2395.2 Richardson, Yarrow, et al., 1934, 3, ω_ex_e = 64.2 Richardson, Yarrow, et al., 1934, 3, B₀ = 30.0 Richardson, Yarrow, et al., 1934, 3. According to Dieke, 1958 the v=0 levels may be spurious. If so, only v=1 remains with B₁ = 28.7₂.

Referred to the (non-existent) N=0 level in ³Π states; the N=1 levels of c ³Π (+ and -) lie 60.7 cm^-1 above N=0.

Calculated from the N=0 levels of Dieke, 1958.

The states g ³Σ_g⁺ (3dσ), p ³Σ_g⁺ (4dσ), q ³Σ_g⁺ (5dσ), m ³Σ_u⁺ (4fσ) and t ³Σ_u⁺ (5fσ) are strongly affected by l-uncoupling. The N=1 levels lie below N=0 for v=0 and 1; meaningful B values cannot be given until the whole d and f complexes have been fully analyzed, see Ginter, 1967.

The fine structure in the N=1 levels of both ortho- and para-H₂ has been observed in microwave-optical double resonance by Freund and Miller, 1973 who give A_e = 0.0281 Freund and Miller, 1973 as well as spin-spin coupling constants. For para-H₂, v=0, N=1, the three component levels J=1,2, and 0 are at -0.01241, -0.00695, and +0.07197 cm^-1, respectively. For ortho-H₂ the hyperfine structure has also been studied.

Constants refer to ³Π^-. ³Π⁺ is strongly perturbed, i.e. the Λ - type doubling is fairly large and irregular Dieke, 1935, 2.

Breaking-off of P and R branches (³Π⁺) above v'=3 on account of predissociation. Breaking-off of Q branches (³Π^-) for v'=7,8 above N=1 on account of preionization Beutler and Junger, 1936, 2.

Lifetime τ=63 ns Cahill, 1969; see, however, Marechal, Jost, et al., 1972 who give τ= 31 ns Marechal, Jost, et al., 1972.

The T₀(ν₀₀) value is derived from singlet-triplet anti-crossings in a magnetic field Miller and Freund, 1974, Jost and Lombardi, 1974 and corresponds to v=0, N=0. It agrees fairly well with 95073.₂ obtained from the energy of a ³Σ_u⁺(v=0,N=0) below the ionization limit, 29344 ± 2 cm^-1 Beutler and Junger, 1936, 2, combined with the new value of I.P.(H₂). Dieke, 1958 gives T₀ = 95226 without explanation; the most recent theoretical value is T₀= 95077.3 Kolos, 1975. The T_e value in the table takes account of Y₀₀ in both upper (Y'₀₀= 4.9₂) and lower state.

ω_ey_e= +0.92. Precise ab initio potential function (including diagonal corrections) and predicted vibrational levels in Kolos and Wolniewicz, 1968. Except for a constant shift, the latter agree well with the observed levels Dieke, 1958.

Lifetime τ(v=0,1) = 10.4₅ ns Smith and Chevalier, 1972, King, Read, et al., 1975.

Reproduction in MOLSPEC 1, Fig.l2.

A = -0.1249 cm^-1 Jette, 1974, Jette and Miller, 1974. T_e takes account of Y₀₀ in both upper (Y'₀₀= 4.1₈) and lower state.

The Λ-type doubling is quite small (~ 0.5 cm^-1 for N=6); the constants refer to the average. The triplet splitting in N=2 of para-H₂ has been fully resolved in molecular beam experiments of Lichten, 1960 yielding Δν(J=2-1) = 0.16438 Lichten, 1960, Δν(J=2-3) = 0.19674 cm^-1 Lichten, 1960 with J=2 at the top. The hyperfine structure in N=1,J=2 of ortho-H₂ is Δν(F=3-2) = 0.0236 Frey and Mizushima, 1962, Δν(F=2-1) = 0.0154 cm^-1 Frey and Mizushima, 1962 as quoted by Frey and Mizushima, 1962. Foster and Richardson, 1953 give spin splittings for N = 1,2,3,4,5 without resolving J=N+l from J=N-1.

The levels of c ³Π_u⁺ are strongly predissociated by the b ³Σ_u⁺ state Herzberg, 1967; the levels of c ³Π_u^- are either very weakly affected by a forbidden predissociation to b ³Σ_u⁺ Lichten, 1962, Chiu, 1964 or decay radiatively (by magnetic dipole radiation) to the b ³Σ_u⁺ state as suggested by the lifetime measurements of Johnson, 1972, τ(v=0)= 1.02 ms Johnson, 1972 independent of spin component and isotope. Johnson, 1974 observed quenching of c ³Π_u^- in an electric field. The Stark effect is large (~ E+4 times greater than for the ground state) and has been studied experimentally by Kagann and English, 1976 and compared with the theoretical values of English and Albritton, 1975.

This number, obtained from ν₀₀(a-X) + ν₀₀(e-a) + ν₀₀(g-e) - ν₀₀(g-c), is 87 cm^-1 higher than given in MOLSPEC 1, a change made necessary by the work of Gloersen and Dieke, 1965. See also 36.

Theoretical and experimental values for the ionization probability into the various vibrational levels of H₂⁺ are given by Dunn, 1966, Villarejo, 1968, 2, Nicholls, 1968, Ford, Docken, et al., 1975 and Villarejo, 1968, Turner, 1968, respectively. The ionization cross section near the ionization limit has been studied at high resolution by Chupka and Berkowitz, 1968, Comes and Wellern, 1968. See also Backx, Wight, et al., 1976.

For high n there is strong l-uncoupling and the two series of ¹Σ_u⁺ and ¹Π_u⁺ levels of para-H₂ should be called np0 and np2, respectively, corresponding to the fact that the first converges to N=0, the second to N=2 of H₂⁺ There are strong systematic perturbations between the J=1 levels of these two series (because of l- uncoupling) so that the formulae as given do not represent the series very well. An accurate representation can be obtained by Fano's quantum defect theory; see Herzberg and Jungen, 1972. Levels of npπ, ¹Π_u⁺ above N=0 of H₂⁺ are preionized resulting in asymmetrically broadened absorption lines with apparent emission wings.

Limits of Rydberg series above v"=0, J"=0.

Chupka, Dehmer, et al., 1975 have observed Rydberg levels with v = 9,10,11 in the study of ion-pair formation.

These two series of ortho levels are essentially unperturbed.

Average of Π⁺ and Π^-. ν₀₀ referred to (N'=0).

Refers to Π^-; Π⁺ is perturbed; B₀(Π⁺) = 30.178, B₁(Π⁺) = 31.370.

RKR potential function in Monfils, 1968, 2.

Refers to Π^-; γ_e = -0.53. Π⁺ is perturbed, B₀(Π⁺) = 31.09₅, B₁(Π⁺) = 29.165.

4F of Dieke, 1958, 4¹χ of Richardson, 1934.

The states P,R,S form a d complex with strong uncoupling. As a result the constants given have only limited meaning.

4¹O of Richardson, 1934, not given by Dieke, 1958.

From R(0) and P(1) according to the data of Richardson, 1934.

4¹B of Richardson, 1934, 4E of Dieke, 1958.

Refers to ¹Π^-.

4¹C of Richardson, 1934, 4D of Dieke, 1958.

The J=1 level is observed at 27207.62 cm^-1 above J=0, v=0 of B ¹Σ_u⁺. The value given for J=0 is extrapolated and, because of the uncoupling, is rather uncertain.

4¹K of Richardson, 1934, doubly excited state.

Representing only B₀ and B₁. The B_v curve has a positive curvature for low v and a strong negative curvature for high v. B_v = 27.1₃ - 2.35(v+1/2) + 0.665(v+1/2)² - 0.0729(v+1/2)³ Monfils, 1965.

RKR potential function Monfils, 1968, 2. Ab initio potential function Kolos, 1976.

Deperturbed value from Namioka, 1964. The observed value for J=0 [perturbed by B'(v=4)] is 116885.6 according to Namioka, 1964 and 116885.3 according to Monfils, 1965, while in the more recent paper Monfils, 1968 gives 116882.00.

All these states are considered as doubly excited states by Dieke, 1958. They may well form one or two double-minimum states (similar to E, F) together with H ¹Σ_g⁺.

Only v=0.

This is the λ4142.8 progression of Richardson, 1934 as revised by Dieke, 1958.

These values agree with Dieke, 1958; Richardson, 1934 gives 23057.22 and 23191.66 for L and M, respectively.

3¹0 of Richardson, 1934.

From R(0) of the 0-0 band and F(1)-F(0) as given by Richardson, 1934. The basis for 22751.6 in Richardson, 1934 is not clear.

ω_ex_e= +1.027₄(v+1/2)³ - 0.0420₂(v+1/2)⁴; the vibrational constants Monfils, 1968 refer to the average of Π⁺ and Π^-. See also 73.

The rotational constants Namioka, 1964 represent only the levels v= 0, 1, 2 of Π^-. The Π⁺ levels are strongly perturbed by the B' state which also causes the predissociation of ¹Π⁺ for v'≥ 3; see 73. Monfils, 1965 gives for the deperturbed values: B_v(Π⁺)= 32.5₁- 2.00(v+1/2) + 0.071(v+1/2)² - 0.0040(v+1/2)³ ; B_v(Π^-)= 30.8₁ - 1.96(v+1/2) + 0.102(v+1/2)² - 0.0053(v+1/2)³ .

Strong predissociation for v'≥3; no bands with v'≥3 have ever been observed in emission. In absorption strongly broadened lines with apparent emission wings (Beutler- Fano shapes) in D ¹Π_u^- ← X ¹Σ_g^- Herzberg, 1971; line widths of 4 and 11.5 cm^-1 for J=1 and 2, respectively, have been observed Comes and Schumpe, 1971 and accounted for by interaction with the continuum of B' ¹Σ_u^- Fiquet-Fayard and Gallais, 1971, Julienne, 1971, Fiquet-Fayard and Gallais, 1972. Widths for D ¹Π_u^- ← X ¹Σ_g^- (Q) lines are much smaller. Lyα fluorescence as a result of predissociation Comes and Wellern, 1968, Comes and Wenning, 1969, Mentall and Gentieu, 1970. Electric field induced component of predissociation Comes and Wenning, 1970.

From Namioka, 1964; Monfils, 1965 gives D_v(Π⁺) = 0.033+0.0010(v+1/2) Monfils, 1965, D_v(Π^-) =0.0283 - 0.0012(v+1/2) Monfils, 1965.

RKR Franck-Condon factors Spindler, 1969. Absorption coefficients of D←X bands Cook and Metzger, 1964. 0scillator strengths f₀₀ = 0.0061₄ Lewis, 1974, f₂₀ = 0.010₉ Lewis, 1974.

Average of Π⁺ and Π^- extrapolated to J=0. The Λ-type doubling for v=0, J=1 is 4.2 cm^-1 with Π⁺ above Π^-.

These constants Ginter, 1967 refer to Π^- and Δ^- and take into account the effects of l- uncoupling in the d-complex according to the formulae of Ginter, 1966. They cannot be used to derive energy levels without the use of these formulae. The observed levels are given in Dieke, 1958.

The forbidden ¹Δ_g → ¹Σ_u^- transition occurs because of strong uncoupling in the upper state. Only Q branches are observed in these bands.

Refers to J=2 of Δ^- at 10.8 cm^-1 below J=2 of Δ⁺.

3¹B of Richardson, 1934, 3E of Dieke, 1958. Mulliken, 1964 and Browne, 1965 predict a fairly high (0.4 eV) maximum in the potential function of this state.

Zeeman effect studies Dieke, Cunningham, et al., 1953 yield g(v=0,J=1) = 0.49₈ Dieke, Cunningham, et al., 1953, g(v=0,J=2) = 0.412 Dieke, Cunningham, et al., 1953, etc.; lifetime τ(v=0,J=2) = 38 ns van der Linde and Dalby, 1972, see 85.

Referred to J'=1 of I ¹Π^-; J=1 of I ¹Π⁺ is 62.32 cm^-1 higher.

3¹C of Richardson, 1934, 3D of Dieke, 1958.

No levels higher than v=3 have been observed which suggests that the dissociation limit is 1²S + 2²S,²P at 118377.6 cm^-1. The constants represent only v=0,1,2.

This value Richardson, 1934 does not represent the low rotational levels because of l-uncoupling, e.g. the J=1 level is below J=0. The actual levels are given in Dieke, 1958. Hyperfine structure for v=1,J=1; A = 1.0 ± 0.17 MHz Melieres-Marechal and Lombardi, 1974. Large Zeeman splittings corresponding to the strong l-uncoupling Dieke, Cunningham, et al., 1953, g(v=0,J=1) = 0.901 Dieke, Cunningham, et al., 1953, g(v=0,J=2) = 0.571 Dieke, Cunningham, et al., 1953, etc.; see also Freund and Miller, 1972. Lifetimes from Hanle effect observations van der Linde and Dalby, 1972; τ(v=0,J=1) = 27 ns van der Linde and Dalby, 1972, τ(v=0,J=2,3) = 39 ns van der Linde and Dalby, 1972.

The G→B system gives rise to the strongest lines in the visible region.

Referred to J'=0 which, because of l-uncoupling, has an anomalous position.

3¹K of Richardson, 1934, probably due to (2sσ)².

Fragmentary, possibly (2pσ)(2pπ).

Takes account of Y₀₀ in both upper and lower state. Y'₀₀ = 15.3 cm^-1 is rather uncertain and depends strongly on the number of levels included. See 93.

ω_ex_e= +3.533(v+1/2)³ - 0.93750(v+1/2)⁴; these are the constants of Namioka, 1964 [except T_e which is taken from Dabrowski and Herzberg, 1974], they apply only to v=0,...,4. Monfils, 1968 gives a very different set of constants based on seven levels v=0,...,6. The ΔG curve (in H₂, HD, and D₂) has a characteristic tail which makes representation of the higher vibrational levels by a conventional formula meaningless Namioka, 1964, Dabrowski and Herzberg, 1974.

RKR potential functions Namioka, 1965, Monfils, 1968, 2. A very slight maximum of the potential function at 2.9 Angstroms has been predicted by Ford, Browne, et al., 1975 but not confirmed in the calculations of Kolos, 1976; see also Wolniewicz, 1975. The experimental data, while suggesting an anomalous form of the potential function, do not indicate a maximum Dabrowski and Herzberg, 1974.

a_v= +0.540(v+1/2)² - 0.091₇(v+1/2)³; these constants Namioka, 1964 represent only the first five (deperturbed) B_v values. If only three levels are used B_v= 26.371- 1.9000(v+1/2)-0.0050(v+1/2)² leading to a very different Y₀₀ value (3.6) from the one used here (see 90).

The higher D_v values are quite irregular.

The T_e values for B and C include the effects of Y₀₀ on the zero point energies in both upper and lower states; Y'₀₀(B) = 8.7, Y'₀₀(C) = 5.0 cm^-1. On the other hand, the T_e value of C ¹Π_u and ν₀₀(C-X) exclude the term - BΛ² in the energy formula, a term that is usually included to form part of the effective potential energy. With this inclusion and disregarding Y₀₀ Namioka, 1965 gives T_e = 100063.42 and ν₀₀ = 99090.35 on the basis of older data for v=0...4 and his own precise data for v=5....13.

From the 0-1 band of Porto and Jannuzzi, 1963; from T₀(B')-T₀(E) one obtains 11313.6₂.

RKR Franck-Condon factors Spindler, 1969. Oscillator strengths f₁₀ = 0.0028 Lewis, 1974, f₃₀ = 0.0048 Lewis, 1974.

Because of strong interaction the two states E [2¹X of Richardson, 1934, 2A of Dieke, 1958] and F, in zero approximation lsσ2sσ and (2pσ)², form a single state with two minima as first recognized by Davidson, 1961. The most detailed calculation of the potential function and the energy levels is that of Kolos and Wolniewicz, 1969 whose numbering and ΔG(1/2) value for the F ¹Σ_g^- component has been adopted in the table. According to Kolos and Wolniewicz, 1969 ν₀₀(F-B) would be at 9146.8 cm^-1 but v=0,1,2,3 of F have not been observed. The observed v=4 level lies just below the potential maximum.

From the observed ν₄₀ and the energy of v=4 above the (outer) minimum as calculated by Kolos and Wolniewicz, 1969.

100

B₄ = 6.24 129

101

R₄=2.31₅ 129

102

Franck-Condon factors Lin, 1974. Electronic transition moment Wolniewicz, 1969.

103

ν₄₀ =13635.1

104

These numbers represent only the lower vibrational levels near the inner minimum. Owing to the interaction of E and F (see 98) higher ΔG(v+1/2), B_v, D_v values are irregular.

105

ω_ex_e= +0.73l2(v+1/2)³ - 0.04l5(v+1/2)⁴. These constants refer to the (unperturbed) Π^- component and are based on an 8-level fit to the data of Dabrowski and Herzberg, 1974 [v=0-4] and Namioka, 1964, 2 [v=5-7]. Somewhat different constants are given by Namioka, 1965. Note, that the T_e values in Dieke, 1958 are too low by 8.4 cm^-1 Namioka, 1965. The constants of Monfils, 1968 are affected by not recognizing this error.

106

Theoretical work King and Van Vleck, 1939, Mulliken, 1960, Kolos and Wolniewicz, 1965, Rothenberg and Davidson, 1966, Kolos, 1967 has predicted, and the analysis of the spectrum Namioka, 1964, Dabrowski and Herzberg, 1974 has confirmed, that the potential curve of C ¹Π_u has a van der Waals maximum of ~ 105 cm^-1 above the asymptote near r=4.8 Angstroms. ab initio potential function (without diagonal corrections) and predicted vibrational levels Kolos and Wolniewicz, 1968. RKR potential functions Namioka, 1965 Monfils, 1968, 2; see, however, Julienne, 1973.

107

α_v= +0.0296(v+1/2)² - 0.00296(v+1/2)³. These constants refer to the Π^- component (Π⁺ is strongly perturbed by B ¹Σ_u^-) and are from an 8-level least- squares fit of the data of Dabrowski and Herzberg, 1974 [v = 0-4] and Namioka, 1964, 2 [v=5-7]. Somewhat discordant B_v values for both Π^- and Π⁺ (the latter after deperturbation) are given by Namioka, 1964, 2, Monfils, 1965, Dabrowski and Herzberg, 1974. The Λ-type doubling for v=0, J-l is 1.17 cm^-1; for other v, J as well as theoretical values see Julienne, 1973, Ford, 1974.

108

Lifetime τ(v=0,1,2,3) = 0.6 ns Hesser, 1968.

109

RKR Franck-Condon factors calculated by missing citation,89 and "measured" by Geiger and Schmoranzer, 1969, Schmoranzer and Geiger, 1973, Fabian and Lewis, 1974 who have also determined the dependence of the transition moment on r. Ab initio calculation of the latter by Wolniewicz, 1969. Theoretical transition probabilities and f values Wolniewicz, 1969, Allison and Dalgarno, 1970, Allison and Dalgarno, 1970, 2, Dalgarno and Stephens, 1970, experimental values Hesser, 1968, Fabian and Lewis, 1974, Lewis, 1974: f₁₀ = 0.059, f₂₀ = 0.060, f₃₀ = 0.044,... Calculated transitions to the continuum of X ¹Σ_g^- Stephens and Dalgarno, 1972. Selective enhancements of v=0 and 2 of C ¹Π_u in Ar-H₂ mixtures have been studied by Takezawa, Innes, et al., 1966; similar enhancements have also been observed in Kr-H₂ mixtures. For stimulated emission in the Q(1) and P(3) lines of the 1-4, 2-5, 2-6, 3-7 Werner bands see Hodson and Dreyfus, 1972, Waynant, 1972.

110

The T_e values for B and C include the effects of Y₀₀ on the zero point energies in both upper and lower states; Y'₀₀(B) = 8.7, Y'₀₀(C) = 5.0 cm^-1. On the other hand, the T_e value of C ¹Π_u and ν₀₀(C-X) exclude the term - BΛ₂ in the energy formula, a term that is usually included to form part of the effective potential energy. With this inclusion and disregarding Y₀₀ Namioka, 1965 gives T_e = 100063.42 and ν₀₀ = 99090.35 on the basis of older data for v=0...4 and his own precise data for v=5....13.

111

ω_ex_e= +0.7196(v+1/2)³ - 0.0598(v+1/2)⁴ +0.002l6(v+1/2)⁵, Y₀₀ = 8.7; from a least squares fit Dabrowski and Herzberg, 1974 to the first eight levels as given by Herzberg and Howe, 1959. Wilkinson, 1968 gives slightly different constants based on the first five levels only. Monfils, 1968 and Namioka, 1964, 2 have observed levels up to v= 35 and 37, respectively, very close to the dissociation limit at 118377.₆ cm^-1 Herzberg, 1970. The dissociation energy of the B ¹Σ_u^- state is 28174.2 cm^-1.

112

RKR potential functions Tobias and Vanderslice, 1961, Namioka, 1965,$ 72, Spindler, 1969; see also Stwalley, 1973. Precise ab initio potential function (including diagonal corrections) and predicted vibrational levels Kolos and Wolniewicz, 1968, Kolos and Wolniewicz, 1975.

113

α_v= +0.1214(v+1/2)² - 0.0117(v+1/2)³ + 0.0004₆(v+1/2)⁴, from a least squares fit Dabrowski and Herzberg, 1974 to the first eight levels. Wilkinson, 1968 gives slightly different constants based on the first five levels only. For v≥8 there are strong rotational perturbations caused by interaction with C ¹Π_u. Only after deperturbation can meaningful B_v values for these levels be obtained [see Dabrowski and Herzberg, 1974]. For a theoretical discussion of the intensities in the perturbed region see Ford, 1974.

114

D_v= -2.165E-3(v+1/2) + 2.28₉E-4(v+1/2)² - 1.18₅E-5(v+1/2)³. For individual B_v and D_v values see Herzberg and Howe, 1959, Namioka, 1964, 2, Dabrowski and Herzberg, 1974.

115

Lifetime τ(v=3...7) = 0.8 ns Hesser, 1968; τ(v=8...11) = 1.0 ns Smith and Chevalier, 1972.

116

Franck-Condon factors from RKR potentials Halmann and Laulicht, 1966, Spindler, 1969; from ab initio potential functions Dalgarno and Allison, 1968, Allison and Dalgarno, 1970, Allison and Dalgarno, 1970, 2, including theoretical oscillator strengths; see also Lin, 1975. J dependence of Franck-Condon factors and transition probabilities Villarejo, Stockbauer, et al., 1969, Wolniewicz, 1969, Becker and Fink, 1971. Experimental Franck-Condon factors and oscillator strengths Geiger and Topschowsky, 1966, Haddad, Lokan, et al., 1968, Hesser, Brooks, et al., 1968, Geiger and Schmoranzer, 1969, Fabian and Lewis, 1974, Lewis, 1974, Schmoranzer, 1975; Σf_v'0 = 0.29. Variation of transition moment with r Hesser, Brooks, et al., 1968, Geiger and Schmoranzer, 1969, Schmoranzer, 1975 and, ab initio, Dalgarno and Allison, 1968, Wolniewicz, 1969. Selective enhancements of v=3 and 10 of B ¹Σ_u^- in an Ar-H₂ mixture, first observed by Lyman, have recently been studied by Takezawa, Innes, et al., 1966; similar enhancements were also observed in Kr-H₂ mixtures. Stimulated emission in the P branches of the 3-10, 4-11, 5-12, 6-13, 7-13 Lyman bands Hodgson, 1970, Waynant, Shipman, et al., 1970.

117

A continuous spectrum corresponding to transitions to the continuum of X ¹Σ_g^- has been observed Dalgarno, Herzberg, et al., 1970 and the intensity distribution found to be in agreement with calculations. Dalgarno and Stephens, 1970, Stephens and Dalgarno, 1972 have calculated transition probabilities and the fractions that go to the continuum for v' = 0.... 36. Allison and Dalgarno, 1969 calculated the continuous spectrum corresponding to absorption from the ground state to the continuum of B ¹σ_u^-.

118

ω_ex_e= +0.812₉(v+1/2)³; these constants Foltz, Rank, et al., 1966 represent only the levels v=0,1,2,3. Herzberg and Howe, 1959 has less accurate constants representing higher G(v) values. "True" ω_e= 4403.₂ Fink, Wiggins, et al., 1965 (including Dunham corrections) Fink, Wiggins, et al., 1965. The zero-point energy (Y₀₀ = 8.9₃ included) is 2179.2₇ cm^-1. Herzberg and Monfils, 1960.

119

RKR potential functions Tobias and Vanderslice, 1961, Weissman, Vanderslice, et al., 1963, Ginter and Battino, 1965, see also Zhirnov and Vasilevskii, 1970; ab initio potential functions Kolos and Wolniewicz, 1974, Kolos and Wolniewicz, 1975, 2. Rotational and vibrational levels calculated from the latter are given in Kolos and Wolniewicz, 1975, 2; see also Waech and Bernstein, 1967, Kolos and Wolniewicz, 1968, 2. Waech and Bernstein, 1967 include some of the quasi-bound levels above the dissociation limit [see also Allison, 1969]; for their experimental observation see Herzberg and Howe, 1959, Herzberg and Mckenzie, 1979. Recent comparisons between ab initio calculated and observed energy levels Bunker, 1972, Orlikowski and Wolniewicz, 1974, Dabrowski and Herzberg, 1976, Bishop and Shih, 1976.

120

α_v= +0.057₇(v+1/2)² - 0.005₁(v+1/2)³; these constants Foltz, Rank, et al., 1966 represent only B_0...3 which are the best known B_v values. Brannon, Church, et al., 1968 from the field-induced spectrum give a very slightly different B₀ (59.334₃ versus 59.336₂); see also Buijs and Gush, 1971. The formula B_v= 60.863₅ - 3.0763₈(v+1/2) + 0.0601₇(v+1/2)² - 0.0048_l(v+1/2)³ (v≤8) of Herzberg and Howe, 1959 holds up to v=8. Higher B_v values Herzberg and Howe, 1959 require higher and higher terms in the formula. All the constants given are Y₀₁,...Y₃₁ values; Fink, Wiggins, et al., 1965 have introduced Dunham corrections and give the "true" B_e = 60.867₉ Fink, Wiggins, et al., 1965. According to Ramsey, 1952 the hyperfine levels F=1 and 2 for J=1,v=0 are 1.823E-5 and 2.005E-5 cm^-1 below the F=0 component.

121

D_v= -0.0027₄(v+1/2) + 0.0004₀(v+1/2)²; H_v = [4.9-0.5(v+1/2)]E-5 Fink, Wiggins, et al., 1965; see also Foltz, Rank, et al., 1966.

122

Quadrupole 130 and field-induced sp..131

123

Raman cross sections Harney, Randolph, et al., 1975.

124

Rotational g factor g_J = 0.88291.

125

This is an upper limit (36118.3 ± 0.5 cm^-1), the lower limit being 4.4779 eV. According to Herzberg, 1970 the true value is probably close to the upper limit; see also Stwalley, 1970 who gives D₀⁰ = 36118.6 cm^-1 Stwalley, 1970 on the basis of a reassignment of the last vibrational levels of the B state. The most recent theoretical value of Kolos and Wolniewicz, 1968, 2 - including a small non-adiabatic correction of Bunker, 1979 - is D₀⁰= 36117.9 cm^-1 Kolos and Wolniewicz, 1968, 2, Bunker, 1979. An earlier independent calculation Hunter, 1966 (not including the non-adiabatic correction) gave D₀⁰= 36118.1 cm^-1 Hunter, 1966.

126

From the limit of the npσ, ¹Σ_u⁺ Rydberg series (124417.2 cm^-1) taking account of perturbations and pressure shift of high n lines Herzberg and Jungen, 1972. The earlier value of Takezawa, 1970, 2 was higher by 1.2 cm^-1 because it was not corrected for pressure shift. The latest theoretical (ab initio) value Jeziorski and Kolos, 1969 including relativistic, Lamb shift, and non-adiabatic corrections is 15.4259₀ eV; see Herzberg and Jungen, 1972.

127

The two J=2 levels are observed at 27631.3 and 27732.9 cm^-1 above J=0, v=0 of B ¹Σ_u⁺ Dieke, 1958. The ν₀₀ value given is an extrapolated average for J=0 and, because of the uncoupling, is rather uncertain.

128

The two J=1 levels are observed at 27385.8 and 27487.1 cm^-1 above J=0, v=0 of B ¹Σ_u⁺ Dieke, 1958. The ν₀₀ value given is an extrapolated average for J=0 and, because of the uncoupling, is rather uncertain.

129

Vibrational numbering of Kolos and Wolniewicz, 1969. See 98.

130

Fink, Wiggins, et al., 1965 give absolute intensity measurements of the quadrupole rotation-vibration spectrum (1-0, 2-0, 3-0) as well as corrections for pressure shifts; see also Margolis, 1973, McKellar, 1974, Chackerian and Giver, 1975. Dependence of quadrupole moment on r Kolos and Wolniewicz, 1965. Predicted intensities in the rotation-vibration spectrum James, 1969, in the rotation spectrum Dalgarno and Wright, 1972. Predicted lifetimes of rotation-vibration levels Black and Dalgarno, 1976, e.g. τ(v=1,J=1)= 1.17E+6 s Black and Dalgarno, 1976.

131

The rotation and rotation-vibration spectrum has been observed in pressure- induced absorption, see the review by Welsh, 1972.

References

Go To: Top, Henry's Law data, Gas phase ion energetics data, Ion clustering data, Mass spectrum (electron ionization), Constants of diatomic molecules, Notes

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Ginter, M.L., Molecular constants for the l-uncoupled electronic states 3d ^1,3Δ_g and 3d ^1,3Π_g of the hydrogen molecule, J. Chem. Phys., 1967, 46, 3687. [all data]

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Ginter, M.L., Spectrum and structure of the He₂ molecule. IV. Characterization of the singlet and triplet states associated with the UAO's 3dσ, 3dπ, and 3dδ, J. Chem. Phys., 1966, 45, 248. [all data]

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Browne, 1965
Browne, J.C., Quantum mechanical potential energy curves for the ¹Π_u and ³Π_u states of He₂ and the ¹Π_g and ³Π_g states of H₂, Phys. Rev. A: Gen. Phys., 1965, 138, 9. [all data]

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Dieke, G.H., The triplet 3p complex of the hydrogen molecule, Phys. Rev., 1935, 48, 610. [all data]

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Stwalley, 1973
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Notes

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Symbols used in this document:

AE	Appearance energy
IE (evaluated)	Recommended ionization energy
T	Temperature
d(ln(k_H))/d(1/T)	Temperature dependence parameter for Henry's Law constant
k°_H	Henry's Law constant at 298.15K
Δ_rG°	Free energy of reaction at standard conditions
Δ_rH°	Enthalpy of reaction at standard conditions
Δ_rS°	Entropy of reaction at standard conditions

Data from NIST Standard Reference Database 69: NIST Chemistry WebBook
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NIST Chemistry WebBook, SRD 69

Hydrogen

Data at NIST subscription sites:

Henry's Law data

Henry's Law constant (water solution)

Gas phase ion energetics data

Ionization energy determinations

Appearance energy determinations

De-protonation reactions

Ion clustering data

Clustering reactions

Free energy of reaction

Enthalpy of reaction

Enthalpy of reaction

Enthalpy of reaction

Mass spectrum (electron ionization)

Spectrum

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Credits

Additional Data

Constants of diatomic molecules

Notes

References

Notes