Naphthalene, 2,3-dimethyl-

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Gas phase thermochemistry data

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Data compilation copyright by the U.S. Secretary of Commerce on behalf of the U.S.A. All rights reserved.

Data compiled as indicated in comments:
ALS - Hussein Y. Afeefy, Joel F. Liebman, and Stephen E. Stein
DRB - Donald R. Burgess, Jr.
GT - Glushko Thermocenter, Russian Academy of Sciences, Moscow

Quantity Value Units Method Reference Comment
Δfgas76.1 ± 2.0kJ/molCcbColomina, Jimenez, et al., 1979ALS
Δfgas79.9kJ/molN/AGood, 1973Value computed using ΔfHsolid° value of -2.3±1.1 kj/mol from Good, 1973 and ΔsubH° value of 82.2 kj/mol from Colomina, Jimenez, et al., 1979.; DRB

Constant pressure heat capacity of gas

Cp,gas (J/mol*K) Temperature (K) Reference Comment
42.250.Thermodynamics Research Center, 1997p=1 bar. Among all statistically calculated values of S(T) for methyl- and dimethylnaphthalenes [ Thermodynamics Research Center, 1997], only for 2,3-dimethylnaphthalene calculated values are substantially different from experimental ones.; GT
72.7100.
101.7150.
130.4200.
173.3273.15
188.0298.15
189.1300.
244.9400.
292.8500.
332.2600.
364.6700.
391.4800.
414.0900.
433.01000.
449.1100.
463.1200.
475.1300.
485.1400.
494.1500.

Condensed phase thermochemistry data

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Data compilation copyright by the U.S. Secretary of Commerce on behalf of the U.S.A. All rights reserved.

Data compiled as indicated in comments:
ALS - Hussein Y. Afeefy, Joel F. Liebman, and Stephen E. Stein
DH - Eugene S. Domalski and Elizabeth D. Hearing

Quantity Value Units Method Reference Comment
Δfsolid-6.1 ± 1.9kJ/molCcbColomina, Jimenez, et al., 1979ALS
Δfsolid-2.3 ± 1.1kJ/molCcbGood, 1973crystal phase; ALS
Quantity Value Units Method Reference Comment
Δcsolid-6431.0 ± 1.1kJ/molCcbColomina, Jimenez, et al., 1979Corresponding Δfsolid = -6.09 kJ/mol (simple calculation by NIST; no Washburn corrections); ALS
Δcsolid-6434.78 ± 0.88kJ/molCcbGood, 1973crystal phase; Corresponding Δfsolid = -2.3 kJ/mol (simple calculation by NIST; no Washburn corrections); ALS
Quantity Value Units Method Reference Comment
solid,1 bar225.853J/mol*KN/AMesserly, Finke, et al., 1988crystaline, I phase; DH

Constant pressure heat capacity of solid

Cp,solid (J/mol*K) Temperature (K) Reference Comment
215.298.Sciesinski, Godlewska, et al., 1989T = 100 to 350 K. Cp value estimated from graph.; DH
216.466298.15Messerly, Finke, et al., 1988crystaline, I phase; T = 10 to 400 K.; DH

Phase change data

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Data compilation copyright by the U.S. Secretary of Commerce on behalf of the U.S.A. All rights reserved.

Data compiled as indicated in comments:
TRC - Thermodynamics Research Center, NIST Boulder Laboratories, Chris Muzny director
AC - William E. Acree, Jr., James S. Chickos
ALS - Hussein Y. Afeefy, Joel F. Liebman, and Stephen E. Stein
DRB - Donald R. Burgess, Jr.
DH - Eugene S. Domalski and Elizabeth D. Hearing

Quantity Value Units Method Reference Comment
Tboil541.15KN/ACooper, Crowne, et al., 1967Uncertainty assigned by TRC = 0.6 K; TRC
Tboil542.4KN/AKruber and Oberkobusch, 1951Uncertainty assigned by TRC = 1.5 K; TRC
Tboil541.KN/ABailey, Bryant, et al., 1947Uncertainty assigned by TRC = 5. K; TRC
Quantity Value Units Method Reference Comment
Tfus378.KN/AKotula and Rabczuk, 1985Uncertainty assigned by TRC = 2. K; TRC
Tfus378.4KN/ASmith, 1980Uncertainty assigned by TRC = 0.3 K; TRC
Tfus376.15KN/ALuther and Riechel, 1950Uncertainty assigned by TRC = 0.6 K; TRC
Quantity Value Units Method Reference Comment
Ttriple377.490KN/AMesserly, Finke, et al., 1988, 2Crystal phase 1 phase; Uncertainty assigned by TRC = 0.01 K; TRC
Quantity Value Units Method Reference Comment
Δsub82.2 ± 0.4kJ/molVColomina, Jimenez, et al., 1979ALS
Δsub82.2kJ/molN/AColomina, Jimenez, et al., 1979DRB

Enthalpy of vaporization

ΔvapH (kJ/mol) Temperature (K) Method Reference Comment
60.9 ± 0.7380.N/AMesserly, Finke, et al., 1988AC
60.0393.AStephenson and Malanowski, 1987Based on data from 378. to 408. K.; AC

Antoine Equation Parameters

log10(P) = A − (B / (T + C))
    P = vapor pressure (bar)
    T = temperature (K)

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Temperature (K) A B C Reference Comment
378. to 408.3.768011657.142-106.824Osborn and Douslin, 1975Coefficents calculated by NIST from author's data.

Enthalpy of sublimation

ΔsubH (kJ/mol) Temperature (K) Method Reference Comment
61.10 ± 0.10377.7VMesserly, Finke, et al., 1988, 2ALS
82.8348.AStephenson and Malanowski, 1987Based on data from 333. to 373. K.; AC
82.2 ± 0.4294.MEColomina, Jimenez, et al., 1979, 2Based on data from 287. to 300. K.; AC
79.9 ± 0.3378.3VAihara, 1959crystal phase; ALS
79.9 ± 0.4290.VAihara, 1959, 2Based on data from 278. to 301. K. See also Stephenson and Malanowski, 1987.; AC

Enthalpy of fusion

ΔfusH (kJ/mol) Temperature (K) Method Reference Comment
23.97377.2DSCCheon and Kim, 2007AC
15.9378.N/AAcree, 1991AC

Temperature of phase transition

Ttrs (K) Initial Phase Final Phase Reference Comment
220.crystaline, IVcrystaline, IIISciesinski, Godlewska, et al., 1989DH
275.crystaline, IIIcrystaline, IISciesinski, Godlewska, et al., 1989DH

Enthalpy of phase transition

ΔHtrs (kJ/mol) Temperature (K) Initial Phase Final Phase Reference Comment
-0.00058226.000crystaline, IIIcrystaline, IIMesserly, Finke, et al., 1988DH
-0.00108265.000crystaline, IIcrystaline, IMesserly, Finke, et al., 1988DH
19.35329377.496crystaline, IliquidMesserly, Finke, et al., 1988DH
0.104302.crystaline, IIcrystaline, ISciesinski, Godlewska, et al., 1989DH

Entropy of phase transition

ΔStrs (J/mol*K) Temperature (K) Initial Phase Final Phase Reference Comment
51.27377.496crystaline, IliquidMesserly, Finke, et al., 1988DH
0.35302.crystaline, IIcrystaline, ISciesinski, Godlewska, et al., 1989DH

In addition to the Thermodynamics Research Center (TRC) data available from this site, much more physical and chemical property data is available from the following TRC products:


Henry's Law data

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Data compilation copyright by the U.S. Secretary of Commerce on behalf of the U.S.A. All rights reserved.

Data compiled by: Rolf Sander

Henry's Law constant (water solution)

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

H (mol/(kg*bar)) d(ln(kH))/d(1/T) (K) Method Reference Comment
1.7 QN/A missing citation give several references for the Henry's law constants but don't assign them to specific species.

Gas phase ion energetics data

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Data compilation copyright by the U.S. Secretary of Commerce on behalf of the U.S.A. All rights reserved.

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

Electron affinity determinations

EA (eV) Method Reference Comment
<0.17 ± 0.13ECDWojnarovits and Foldiak, 1981EA is an upper limit: Chen and Wentworth, 1989. G3MP2B3 calculations indicate an EA of ca. -0.2 eV, anion unbound.; B

Ionization energy determinations

IE (eV) Method Reference Comment
8.11CTSSlifkin and Allison, 1967RDSH
8.20 ± 0.05EINounou, 1966RDSH
7.89 ± 0.03PEHeilbronner, Hoshi, et al., 1976Vertical value; LLK

IR Spectrum

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Data compilation copyright by the U.S. Secretary of Commerce on behalf of the U.S.A. All rights reserved.

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

Gas Phase Spectrum

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IR spectrum
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Additional Data

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Owner NIST Standard Reference Data Program
Collection (C) 2018 copyright by the U.S. Secretary of Commerce
on behalf of the United States of America. All rights reserved.
Origin NIST Mass Spectrometry Data Center
State gas
Instrument HP-GC/MS/IRD

This IR spectrum is from the NIST/EPA Gas-Phase Infrared Database .


Mass spectrum (electron ionization)

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Data compilation copyright by the U.S. Secretary of Commerce on behalf of the U.S.A. All rights reserved.

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

Spectrum

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Mass spectrum
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Additional Data

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Owner NIST Mass Spectrometry Data Center
Collection (C) 2014 copyright by the U.S. Secretary of Commerce
on behalf of the United States of America. All rights reserved.
Origin NIST Mass Spectrometry Data Center, 1990.
NIST MS number 118774

All mass spectra in this site (plus many more) are available from the NIST/EPA/NIH Mass Spectral Library. Please see the following for information about the library and its accompanying search program.


UV/Visible spectrum

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Data compilation copyright by the U.S. Secretary of Commerce on behalf of the U.S.A. All rights reserved.

Data compiled by: Victor Talrose, Eugeny B. Stern, Antonina A. Goncharova, Natalia A. Messineva, Natalia V. Trusova, Margarita V. Efimkina

Spectrum

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UVVis spectrum
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Additional Data

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Source Cava and Shirley, 1960
Owner INEP CP RAS, NIST OSRD
Collection (C) 2007 copyright by the U.S. Secretary of Commerce
on behalf of the United States of America. All rights reserved.
Origin INSTITUTE OF ENERGY PROBLEMS OF CHEMICAL PHYSICS, RAS
Source reference RAS UV No. 329
Instrument n.i.g.
Melting point 105
Boiling point 268

Gas Chromatography

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Data compilation copyright by the U.S. Secretary of Commerce on behalf of the U.S.A. All rights reserved.

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

Kovats' RI, non-polar column, isothermal

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Column type Active phase Temperature (C) I Reference Comment
CapillarySqualane120.1408.2Gerasimenko and Nabivach, 1997Column length: 50. m
CapillaryOV-1150.1433.Zhang, Chen, et al., 199725. m/0.2 mm/0.33 μm, N2
CapillaryOV-1150.1433.Zhang, Chen, et al., 199725. m/0.2 mm/0.33 μm, N2
CapillaryOV-1150.1434.Zhang, Chen, et al., 199725. m/0.2 mm/0.33 μm, N2
CapillaryCP Sil 8 CB130.1442.3Schaefer and Höltkemeier, 199250. m/0.32 mm/0.25 μm
CapillarySE-30100.1395.Bredael, 1982Column length: 100. m; Column diameter: 0.5 mm
CapillarySE-30130.1419.Bredael, 1982Column length: 100. m; Column diameter: 0.5 mm
CapillarySE-30150.1433.Bredael, 1982Column length: 100. m; Column diameter: 0.5 mm
CapillaryOV-101140.1427.3Gerasimenko, Kirilenko, et al., 1981N2; Column length: 50. m; Column diameter: 0.3 mm
CapillaryOV-101160.1441.7Gerasimenko, Kirilenko, et al., 1981N2; Column length: 50. m; Column diameter: 0.3 mm
CapillaryOV-1130.1420.Engewald, Wennrich, et al., 1979Column length: 50. m; Column diameter: 0.23 mm
CapillarySqualane130.1399.Bogoslovsky, Anvaer, et al., 1978 
PackedSE-30150.1438.Shlyakhov, Anvaer, et al., 1975 

Kovats' RI, non-polar column, temperature ramp

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Column type Active phase I Reference Comment
CapillaryOV-1011410.Hayes and Pitzer, 1982110. m/0.25 mm/0.20 μm, He, 1. K/min; Tstart: 35. C; Tend: 200. C

Van Den Dool and Kratz RI, non-polar column, temperature ramp

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Column type Active phase I Reference Comment
CapillaryDB-51446.Rostad and Pereira, 198630. m/0.26 mm/0.25 μm, He, 50. C @ 4. min, 6. K/min, 300. C @ 20. min
CapillaryOV-1011410.Hayes and Pitzer, 1981108. m/0.25 mm/0.2 μm, 1. K/min; Tstart: 35. C; Tend: 200. C

Van Den Dool and Kratz RI, non-polar column, custom temperature program

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Column type Active phase I Reference Comment
CapillaryHP-51435.Sandercock and du Pasquier, 200330. m/0.25 mm/0.25 μm, He; Program: 40C(3min) => 4C/min => 208C => 25C/min => 290C(5min)
CapillaryDB-51438.Havenga and Rohwer, 199930. m/0.25 mm/0.25 μm, He; Program: 60 0C 7 0C/min -> 130 0C 5 0C/min -> 200 0C 6 0C/min -> 260 0C 20 0C/min -> 320 0C (4 min)

Van Den Dool and Kratz RI, polar column, temperature ramp

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Column type Active phase I Reference Comment
CapillarySupelcowax-102008.Chung, Yung, et al., 200260. m/0.25 mm/0.25 μm, He, 35. C @ 5. min, 2. K/min, 195. C @ 90. min
CapillarySupelcowax-102008.Chung, Yung, et al., 200160. m/0.25 mm/0.25 μm, He, 35. C @ 5. min, 2. K/min, 195. C @ 90. min
CapillarySupelcowax-102009.Chung, 199960. m/0.25 mm/0.25 μm, He, 35. C @ 5. min, 2. K/min, 195. C @ 90. min

Normal alkane RI, non-polar column, isothermal

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Column type Active phase Temperature (C) I Reference Comment
CapillaryOV-101120.1427.Nabivach and Gerasimenko, 1996 
CapillarySqualane120.1400.Nabivach and Gerasimenko, 1996 
CapillarySqualane120.1408.Nabivach and Gerasimenko, 1996 
CapillarySqualane130.1400.Papazova and Pankova, 1975N2; Column length: 100. m; Column diameter: 0.25 mm
PackedPolydimethyl siloxane147.1430.Ferrand, 1962 

Normal alkane RI, non-polar column, temperature ramp

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Column type Active phase I Reference Comment
CapillaryHP-5 MS1444.Radulovic, Blagojevic, et al., 201030. m/0.25 mm/0.25 μm, Helium, 5. K/min, 290. C @ 10. min; Tstart: 70. C
CapillaryHP-5 MS1443.Radulovic, Dordevic, et al., 201030. m/0.25 mm/0.25 μm, Helium, 5. K/min, 290. C @ 10. min; Tstart: 70. C
CapillaryUltra-11418.Elizalde-González, Hutfliess, et al., 199650. m/0.2 mm/0.33 μm, H2, 3. K/min, 300. C @ 35. min; Tstart: 60. C

Normal alkane RI, non-polar column, custom temperature program

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Column type Active phase I Reference Comment
CapillaryCP Sil 8 CB1442.Bertsch, 1999Program: not specified
CapillaryOV-11419.6Dimov, Osman, et al., 1994Program: not specified
CapillaryPolydimethyl siloxane, unknown content of Ph-groups1446.Geldon, 1989Program: not specified
CapillaryPolydimethyl siloxane, unknown content of Ph-groups1447.Geldon, 1989Program: not specified
CapillaryOV-1, SE-30, Methyl silicone, SP-2100, OV-101, DB-1, etc.1420.Waggott and Davies, 1984Hydrogen; Column length: 50. m; Column diameter: 0.32 mm; Program: not specified

Lee's RI, non-polar column, temperature ramp

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Column type Active phase I Reference Comment
CapillaryDB-5MS246.51Sun, Zhou, et al., 200830. m/0.25 mm/0.25 μm, 50. C @ 2. min, 6. K/min, 300. C @ 16. min
Capillary5 % Phenyl methyl siloxane243.55Skrbic and Onjia, 20062. K/min; Tstart: 50. C; Tend: 250. C
CapillaryDB-5MS247.04Chen, Keeran, et al., 200230. m/0.25 mm/0.5 μm, 40. C @ 1. min, 10. K/min; Tend: 310. C
CapillaryHP-5246.42Piao, Chu, et al., 199930. m/0.25 mm/0.25 μm, 50. C @ 2. min, 4. K/min, 280. C @ 20. min
CapillaryDB-5245.70Williams and Horne, 1995He, 60. C @ 2. min, 5. K/min; Column length: 25. m; Column diameter: 0.3 mm; Tend: 270. C
CapillaryDB-5246.73Wang, Fingas, et al., 199430. m/0.32 mm/0.25 μm, He, 50. C @ 2. min, 6. K/min; Tend: 300. C
CapillaryCP Sil 8 CB246.2Bundt, Herbel, et al., 199150. m/0.25 mm/0.25 μm, He, 4. K/min; Tstart: 80. C; Tend: 300. C
CapillarySE-54246.29Guillén, Blanco, et al., 198920. m/0.22 mm/0.20 μm, He, 4. K/min; Tstart: 50. C; Tend: 300. C
CapillaryDB-5247.04Rostad and Pereira, 198630. m/0.26 mm/0.25 μm, He, 50. C @ 4. min, 6. K/min, 300. C @ 20. min
CapillaryDB-5239.0Viau, Studak, et al., 1984Helium, 4. K/min; Column length: 30. m; Column diameter: 0.32 mm; Tstart: 90. C; Tend: 250. C
CapillarySE-52246.03Vassilaros, Kong, et al., 198220. m/0.30 mm/0.25 μm, H2, 40. C @ 2. min, 4. K/min; Tend: 265. C
CapillarySE-52243.55Lee, Vassilaros, et al., 197912. m/0.3 mm/0.34 μm, He, 2. K/min; Tstart: 50. C; Tend: 250. C

Lee's RI, non-polar column, custom temperature program

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Column type Active phase I Reference Comment
CapillaryDB-5244.5Fuentes, Font, et al., 2007Column length: 60. m; Program: not specified
CapillaryDB-5MS246.5Aracil, Font, et al., 2005Column length: 60. m; Column diameter: 0.25 mm; Program: not specified
CapillaryUltra-1243.6Sremac, Skrbic, et al., 200550. m/0.32 mm/0.50 μm, Nitrogen; Program: 40-100 0C 3-15 0C/min -> 290 0C
CapillaryHP-5247.02Sandercock and du Pasquier, 200330. m/0.25 mm/0.25 μm, He; Program: 40C(3min) => 4C/min => 208C => 25C/min => 290C(5min)
CapillaryCP Sil 8 CB246.3Bundt, Herbel, et al., 199150. m/0.25 mm/0.25 μm, He; Program: not specified
CapillaryDB-5242.64Naikwadi, Charbonneau, et al., 1987Column length: 30. m; Column diameter: 0.32 mm; Program: not specified
CapillaryDB-5243.55Naikwadi, Charbonneau, et al., 1987Column length: 30. m; Column diameter: 0.32 mm; Program: not specified

References

Go To: Top, Gas phase thermochemistry data, Condensed phase thermochemistry data, Phase change data, Henry's Law data, Gas phase ion energetics data, IR Spectrum, Mass spectrum (electron ionization), UV/Visible spectrum, Gas Chromatography, NIST Free Links, Notes

Data compilation copyright by the U.S. Secretary of Commerce on behalf of the U.S.A. All rights reserved.

Colomina, Jimenez, et al., 1979
Colomina, M.; Jimenez, P.; Roux, M.V.; Turrion, C., Thermochemical properties of naphthalene derivatives. V. Formation enthalpies of 2,3-dimethylnaphthalene and 2,3-dihydroxynaphthalene, An. Quim., 1979, 75, 620-624. [all data]

Good, 1973
Good, W.D., The enthalpies of combustion and formation of 1,8-dimethylnaphthalene, 2,3-dimethylnaphthalene, 2,6-dimethylnaphthalene, and 2,7-dimethylnaphthalene, J. Chem. Thermodyn., 1973, 5, 715-720. [all data]

Thermodynamics Research Center, 1997
Thermodynamics Research Center, Selected Values of Properties of Chemical Compounds., Thermodynamics Research Center, Texas A&M University, College Station, Texas, 1997. [all data]

Messerly, Finke, et al., 1988
Messerly, J.F.; Finke, H.L.; Good, W.D.; Gammon, B.E., Condensed-phase heat capacities and derived thermodynamic properties for 1,4-dimethylbenzene, 1,2-diphenylethane, and 2,3-dimethylnaphthalene, J. Chem. Thermodynam., 1988, 20, 485-501. [all data]

Sciesinski, Godlewska, et al., 1989
Sciesinski, J.; Godlewska, M.; Witko, W., An adiabatic calrimetry study of the polymorphism of 2,3-dimethylnaphthalene, J. Phys.: Condens. Matter, 1989, 1(22), 3545-3550. [all data]

Cooper, Crowne, et al., 1967
Cooper, A.R.; Crowne, C.W.P.; Farrell, P.G., Gas-Liquid Chromatographic Studies of Electron-Donor-Acceptor Systems, Trans. Faraday Soc., 1967, 63, 447. [all data]

Kruber and Oberkobusch, 1951
Kruber, O.; Oberkobusch, R., Chem. Ber., 1951, 84, 826. [all data]

Bailey, Bryant, et al., 1947
Bailey; Bryant; Hancock; Morrell; Smith, J.O., The ten dimethylnaphthalenes, their physical properties, molecular compounds, and ultra-violet spectra, J. Inst. Pet., 1947, 33, 503. [all data]

Kotula and Rabczuk, 1985
Kotula, I.; Rabczuk, A., DTA Investigation of the Solid-Liquid Equilibrium for Mehtyl Derivatives of Naphthalene with Some Nitroaromatics, J. Therm. Anal., 1985, 30, 195. [all data]

Smith, 1980
Smith, G.W., Phase behavior of some condensed polycyclic aromatics, Mol. Cryst. Liq. Cryst., 1980, 64, 15. [all data]

Luther and Riechel, 1950
Luther, H.; Riechel, C., The Raman Spectra of Polymethylnphthalenes, Z. Phys. Chem. (Leipzig), 1950, 195, 103. [all data]

Messerly, Finke, et al., 1988, 2
Messerly, J.F.; Finke, H.L.; Good, W.D.; Gammon, B.E., Condensed-phase heat capacities and derived thermodynamic properties for 1,4-dimethylbenzene, 1,2-diphenylethane, and 2,3-dimethylnaphthalene, J. Chem. Thermodyn., 1988, 20, 485. [all data]

Stephenson and Malanowski, 1987
Stephenson, Richard M.; Malanowski, Stanislaw, Handbook of the Thermodynamics of Organic Compounds, 1987, https://doi.org/10.1007/978-94-009-3173-2 . [all data]

Osborn and Douslin, 1975
Osborn, Ann G.; Douslin, Donald R., Vapor pressures and derived enthalpies of vaporization for some condensed-ring hydrocarbons, J. Chem. Eng. Data, 1975, 20, 3, 229-231, https://doi.org/10.1021/je60066a022 . [all data]

Colomina, Jimenez, et al., 1979, 2
Colomina, M.; Jimenez, P.; Roux, M.V.; Turrion, C., An. Quim., 1979, 75, 620. [all data]

Aihara, 1959
Aihara, A., Estimation of the energy of hydrogen bonds formed in crystals. I. Sublimation pressures of some organic molecular crystals and the additivity of lattice energy, Bull. Chem. Soc. Jpn., 1959, 32, 1242. [all data]

Aihara, 1959, 2
Aihara, Ariyuki, Estimation of the Energy of Hydrogen Bonds Formed in Crystals. I. Sublimation Pressures of Some Organic Molecular Crystals and the Additivity of Lattice Energy, Bull. Chem. Soc. Jpn., 1959, 32, 11, 1242-1248, https://doi.org/10.1246/bcsj.32.1242 . [all data]

Cheon and Kim, 2007
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Notes

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