2
0
2017
cha
kum
0
journal
Original
Chauhan, S.
Kumari, S.[Santosh]
Singh, K.[Kuldeep]
J. Chem. Thermodyn.
2017
2020-09-29
Conductometric and fluorescence probe analysis on molecular interactions between cationic surfactants in aqueous medium of glycyl dipeptide: Concentration and temperature effect
The effect of cationic micelles of cetyltrimethylammonium bromide (CTAB) and dodecyltrimethylammonium bromide (DTAB) on interactions of glycyl dipeptide in aqueous medium have been studied in varying concentrations (0.001, 0.005 and 0.010 mol kg 1) at different temperatures (293.15 K to 293.15 K). The conductivity method has been employed to determine critical micelle concentration, CMC i.e. point of aggregation and the results have been discussed in terms of glycylglycine CTAB/DTAB hydrophobic and electrostatic interactions in aqueous medium. The obtained CMC values reveal the fact that the micellization tendency of the surfactant increases in the presence of glycyl dipeptide. The CMC s of CTAB and DTAB have been found to decrease from 0.87 to 0.66 mmol kg 1 and 14.2 13.7 mmol kg 1 respectively as the [Glycyl dipeptide] increased from 0.001 to 0.010 mol kg 1. The temperature dependence of the CMC values has been established in terms of ion ion, ion polar and hydrophobic hydrophobic group interactions around the hydrophobic part of surfactants. Furthermore, the standard thermodynamic parameters of micellization have been evaluated and interpreted which enable to grasp fully the ion ion/ion hydro philic interactions existing in the present ternary (surfactant dipeptide water) system. In addition, the pyrene fluorescence technique has been used to study the change of micropolarity produced by the interactions of surfactants with glycyl dipeptide and the aggregation behaviour (CMC determination) of surfactants.
Aggregation
Critical micelle concentration
CTAB/DTAB
Glycyl dipeptide
Micellization
10.1016/j.jct.2016.10.045
105
337-344
1
InChI=1S/C4H8N2O3/c5-1-3(7)6-2-4(8)9/h1-2,5H2,(H,6,7)(H,8,9)
YMAWOPBAYDPSLA-UHFFFAOYSA-N
glycylglycine
2-(aminoacetamido)acetic acid
N-(2-aminoacetyl)-2-aminoethanoic acid
N-glycylglycine
C4H8N2O3
1
Commercial source
1
98
2
Stated by supplier
2
None used
2
InChI=1S/C19H42N.BrH/c1-5-6-7-8-9-10-11-12-13-14-15-16-17-18-19-20(2,3)4;/h5-19H2,1-4H3;1H/q+1;/p-1
LZZYPRNAOMGNLH-UHFFFAOYSA-M
N,N,N-trimethyl-1-hexadecanaminium bromide
1-hexadecanaminium, N,N,N-trimethyl-, bromide
1-hexadecyltrimethylammonium bromide
N,N,N-trimethylhexadecylammonium bromide
N-cetyl-N,N,N-trimethylammonium bromide
N-hexadecyl-N,N,N-trimethylammonium bromide
ammonium, hexadecyltrimethyl-, bromide
cetyltrimethylammonium bromide
hexadecyltrimethylamine bromide
hexadecyltrimethylammonium bromide
hexdecyltrimethylammonium bromide
palmityltrimethylammonium bromide
trimethylcetylammonium bromide
trimethylhexadecylammonium bromide
C19H42BrN
1
Commercial source
1
98
2
Stated by supplier
2
Crystallization from solution
3
InChI=1S/C15H34N.BrH/c1-5-6-7-8-9-10-11-12-13-14-15-16(2,3)4;/h5-15H2,1-4H3;1H/q+1;/p-1
XJWSAJYUBXQQDR-UHFFFAOYSA-M
dodecyltrimethylammonium bromide
N,N,N-trimethyl-1-dodecanaminium bromide
N-lauryl-N,N,N-trimethylammonium bromide
lauryltrimethylammonium bromide
n-dodecyltrimethylammonium bromide
trimethyldodecylammonium bromide
trimethyllaurylammonium bromide
C15H34BrN
1
Commercial source
1
98
2
Stated by supplier
2
Crystallization from solution
4
InChI=1S/H2O/h1H2
XLYOFNOQVPJJNP-UHFFFAOYSA-N
water
H2O
1
Commercial source
1
Fractional distillation
2
99.8
3
Estimated by the compiler
1
2
1
1
1
4
1
Principal objective of the work
AB
TRC
4/21/2017
1
Electrical conductivity, S/m
Alternating current cell with electrodes
Liquid
Direct value, X
1
4
1
Data file compiler
Propagation of evaluated standard uncertainties
95
Liquid
1
Pressure, kPa
Liquid
100
1
1
Solvent: Molality, mol/kg
1
Liquid
2
Molality, mol/kg
2
Liquid
3
Temperature, K
Liquid
1
0.001
1
2
0.0001
1
3
293.15
5
1
0.00088
2
1
0.00043
1
0.001
1
2
0.0002
1
3
293.15
5
1
0.00127
3
1
0.00037
1
0.001
1
2
0.0003
1
3
293.15
5
1
0.00176
3
1
0.00061
1
0.001
1
2
0.0004
1
3
293.15
5
1
0.00229
3
1
0.00065
1
0.001
1
2
0.0005
1
3
293.15
5
1
0.00284
3
1
0.00073
1
0.001
1
2
0.0006
1
3
293.15
5
1
0.0035
2
1
0.001
1
0.001
1
2
0.0007
1
3
293.15
5
1
0.00426
3
1
0.00094
1
0.001
1
2
0.0008
1
3
293.15
5
1
0.00495
3
1
0.00078
1
0.001
1
2
0.0009
1
3
293.15
5
1
0.00536
3
1
0.00082
1
0.001
1
2
0.001
1
3
293.15
5
1
0.00568
3
1
0.00076
1
0.001
1
2
0.0011
2
3
293.15
5
1
0.00624
3
1
0.00074
1
0.001
1
2
0.0012
2
3
293.15
5
1
0.00643
3
1
0.0007
1
0.001
1
2
0.0013
2
3
293.15
5
1
0.00661
3
1
0.00072
1
0.001
1
2
0.0014
2
3
293.15
5
1
0.00689
3
1
0.00074
1
0.001
1
2
0.0015
2
3
293.15
5
1
0.00697
3
1
0.00074
1
0.001
1
2
0.0016
2
3
293.15
5
1
0.00711
3
1
0.00076
1
0.001
1
2
0.0017
2
3
293.15
5
1
0.00725
3
1
0.00078
1
0.001
1
2
0.0018
2
3
293.15
5
1
0.00736
3
1
0.0008
1
0.001
1
2
0.0019
2
3
293.15
5
1
0.00744
3
1
0.00082
1
0.001
1
2
0.002
1
3
293.15
5
1
0.00758
3
1
0.00085
1
0.001
1
2
0.0001
1
3
298.15
5
1
0.00093
2
1
0.0007
1
0.001
1
2
0.0002
1
3
298.15
5
1
0.00161
3
1
0.00069
1
0.001
1
2
0.0003
1
3
298.15
5
1
0.00214
3
1
0.00071
1
0.001
1
2
0.0004
1
3
298.15
5
1
0.00274
3
1
0.00084
1
0.001
1
2
0.0005
1
3
298.15
5
1
0.00337
3
1
0.0009
1
0.001
1
2
0.0006
1
3
298.15
5
1
0.00402
3
1
0.00097
1
0.001
1
2
0.0007
1
3
298.15
5
1
0.00461
3
1
0.00105
1
0.001
1
2
0.0008
1
3
298.15
5
1
0.00546
3
1
0.00102
1
0.001
1
2
0.0009
1
3
298.15
5
1
0.00583
3
1
0.00087
1
0.001
1
2
0.001
1
3
298.15
5
1
0.00607
3
1
0.00092
1
0.001
1
2
0.0011
2
3
298.15
5
1
0.00674
3
1
0.00092
1
0.001
1
2
0.0012
2
3
298.15
5
1
0.00691
3
1
0.00085
1
0.001
1
2
0.0013
2
3
298.15
5
1
0.00717
3
1
0.00086
1
0.001
1
2
0.0014
2
3
298.15
5
1
0.00734
3
1
0.00086
1
0.001
1
2
0.0015
2
3
298.15
5
1
0.00746
3
1
0.00087
1
0.001
1
2
0.0016
2
3
298.15
5
1
0.00752
3
1
0.00089
1
0.001
1
2
0.0017
2
3
298.15
5
1
0.00761
3
1
0.00092
1
0.001
1
2
0.0018
2
3
298.15
5
1
0.00771
3
1
0.00095
1
0.001
1
2
0.0019
2
3
298.15
5
1
0.00789
3
1
0.00097
1
0.001
1
2
0.002
1
3
298.15
5
1
0.00796
3
1
0.00099
1
0.001
1
2
0.0001
1
3
303.15
5
1
0.00102
3
1
0.00084
1
0.001
1
2
0.0002
1
3
303.15
5
1
0.00191
3
1
0.00083
1
0.001
1
2
0.0003
1
3
303.15
5
1
0.00254
3
1
0.00079
1
0.001
1
2
0.0004
1
3
303.15
5
1
0.00324
3
1
0.00087
1
0.001
1
2
0.0005
1
3
303.15
5
1
0.00387
3
1
0.0009
1
0.001
1
2
0.0006
1
3
303.15
5
1
0.00442
3
1
0.001
1
0.001
1
2
0.0007
1
3
303.15
5
1
0.00511
3
1
0.00107
1
0.001
1
2
0.0008
1
3
303.15
5
1
0.0057
2
1
0.001
1
0.001
1
2
0.0009
1
3
303.15
5
1
0.00612
3
1
0.00102
1
0.001
1
2
0.001
1
3
303.15
5
1
0.00652
3
1
0.00103
1
0.001
1
2
0.0011
2
3
303.15
5
1
0.00702
3
1
0.001
1
0.001
1
2
0.0012
2
3
303.15
5
1
0.00726
3
1
0.00095
1
0.001
1
2
0.0013
2
3
303.15
5
1
0.00741
3
1
0.00096
1
0.001
1
2
0.0014
2
3
303.15
5
1
0.00765
3
1
0.00099
1
0.001
1
2
0.0015
2
3
303.15
5
1
0.00793
3
1
0.001
1
0.001
1
2
0.0016
2
3
303.15
5
1
0.00806
3
1
0.00101
1
0.001
1
2
0.0017
2
3
303.15
5
1
0.00821
3
1
0.00103
1
0.001
1
2
0.0018
2
3
303.15
5
1
0.00837
3
1
0.00105
1
0.001
1
2
0.0019
2
3
303.15
5
1
0.00844
3
1
0.00104
1
0.001
1
2
0.002
1
3
303.15
5
1
0.00856
3
1
0.00105
1
0.001
1
2
0.0001
1
3
308.15
5
1
0.00133
3
1
0.00077
1
0.001
1
2
0.0002
1
3
308.15
5
1
0.00203
3
1
0.00082
1
0.001
1
2
0.0003
1
3
308.15
5
1
0.00286
3
1
0.00086
1
0.001
1
2
0.0004
1
3
308.15
5
1
0.0035
2
1
0.0008
1
0.001
1
2
0.0005
1
3
308.15
5
1
0.00413
3
1
0.00088
1
0.001
1
2
0.0006
1
3
308.15
5
1
0.00468
3
1
0.00105
1
0.001
1
2
0.0007
1
3
308.15
5
1
0.00552
3
1
0.00109
1
0.001
1
2
0.0008
1
3
308.15
5
1
0.00603
3
1
0.00103
1
0.001
1
2
0.0009
1
3
308.15
5
1
0.00635
3
1
0.00111
1
0.001
1
2
0.001
1
3
308.15
5
1
0.00683
3
1
0.00113
1
0.001
1
2
0.0011
2
3
308.15
5
1
0.00732
3
1
0.00109
1
0.001
1
2
0.0012
2
3
308.15
5
1
0.00756
3
1
0.00105
1
0.001
1
2
0.0013
2
3
308.15
5
1
0.00771
3
1
0.00105
1
0.001
1
2
0.0014
2
3
308.15
5
1
0.00795
3
1
0.00108
1
0.001
1
2
0.0015
2
3
308.15
5
1
0.00821
3
1
0.00107
1
0.001
1
2
0.0016
2
3
308.15
5
1
0.00837
3
1
0.00106
1
0.001
1
2
0.0017
2
3
308.15
5
1
0.00844
3
1
0.00106
1
0.001
1
2
0.0018
2
3
308.15
5
1
0.00856
3
1
0.00107
1
0.001
1
2
0.0019
2
3
308.15
5
1
0.00874
3
1
0.00111
1
0.001
1
2
0.002
1
3
308.15
5
1
0.00896
3
1
0.00116
1
0.001
1
2
0.0001
1
3
313.15
5
1
0.00151
3
1
0.00084
1
0.001
1
2
0.0002
1
3
313.15
5
1
0.00233
3
1
0.00098
1
0.001
1
2
0.0003
1
3
313.15
5
1
0.00314
3
1
0.00089
1
0.001
1
2
0.0004
1
3
313.15
5
1
0.00387
3
1
0.00106
1
0.001
1
2
0.0005
1
3
313.15
5
1
0.00462
3
1
0.0008
1
0.001
1
2
0.0006
1
3
313.15
5
1
0.00522
3
1
0.00097
1
0.001
1
2
0.0007
1
3
313.15
5
1
0.00596
3
1
0.00106
1
0.001
1
2
0.0008
1
3
313.15
5
1
0.00647
3
1
0.00112
1
0.001
1
2
0.0009
1
3
313.15
5
1
0.00686
3
1
0.0011
1
0.001
1
2
0.001
1
3
313.15
5
1
0.00752
3
1
0.00115
1
0.001
1
2
0.0011
2
3
313.15
5
1
0.00782
3
1
0.00105
1
0.001
1
2
0.0012
2
3
313.15
5
1
0.00806
3
1
0.00107
1
0.001
1
2
0.0013
2
3
313.15
5
1
0.00821
3
1
0.00106
1
0.001
1
2
0.0014
2
3
313.15
5
1
0.00845
3
1
0.00109
1
0.001
1
2
0.0015
2
3
313.15
5
1
0.00863
3
1
0.0011
1
0.001
1
2
0.0016
2
3
313.15
5
1
0.00886
3
1
0.00111
1
0.001
1
2
0.0017
2
3
313.15
5
1
0.00901
3
1
0.00113
1
0.001
1
2
0.0018
2
3
313.15
5
1
0.00927
3
1
0.00115
1
0.001
1
2
0.0019
2
3
313.15
5
1
0.00948
3
1
0.00116
1
0.001
1
2
0.002
1
3
313.15
5
1
0.00967
3
1
0.00117
1
0.005
1
2
0.0001
1
3
293.15
5
1
0.00156
3
1
0.00078
1
0.005
1
2
0.0002
1
3
293.15
5
1
0.00229
3
1
0.0008
1
0.005
1
2
0.0003
1
3
293.15
5
1
0.00304
3
1
0.00085
1
0.005
1
2
0.0004
1
3
293.15
5
1
0.00378
3
1
0.00089
1
0.005
1
2
0.0005
1
3
293.15
5
1
0.00452
3
1
0.0009
1
0.005
1
2
0.0006
1
3
293.15
5
1
0.00517
3
1
0.00095
1
0.005
1
2
0.0007
1
3
293.15
5
1
0.00594
3
1
0.00095
1
0.005
1
2
0.0008
1
3
293.15
5
1
0.00649
3
1
0.0008
1
0.005
1
2
0.0009
1
3
293.15
5
1
0.00665
3
1
0.00073
1
0.005
1
2
0.001
1
3
293.15
5
1
0.00674
3
1
0.00073
1
0.005
1
2
0.0011
2
3
293.15
5
1
0.0069
2
1
0.0008
1
0.005
1
2
0.0012
2
3
293.15
5
1
0.00715
3
1
0.00078
1
0.005
1
2
0.0013
2
3
293.15
5
1
0.00731
3
1
0.00079
1
0.005
1
2
0.0014
2
3
293.15
5
1
0.00755
3
1
0.00085
1
0.005
1
2
0.0015
2
3
293.15
5
1
0.00793
3
1
0.00088
1
0.005
1
2
0.0016
2
3
293.15
5
1
0.00816
3
1
0.00087
1
0.005
1
2
0.0017
2
3
293.15
5
1
0.00831
3
1
0.00089
1
0.005
1
2
0.0018
2
3
293.15
5
1
0.00857
3
1
0.00092
1
0.005
1
2
0.0019
2
3
293.15
5
1
0.00878
3
1
0.00094
1
0.005
1
2
0.002
1
3
293.15
5
1
0.00897
3
1
0.00094
1
0.005
1
2
0.0001
1
3
298.15
5
1
0.00164
3
1
0.00106
1
0.005
1
2
0.0002
1
3
298.15
5
1
0.00269
3
1
0.00106
1
0.005
1
2
0.0003
1
3
298.15
5
1
0.00366
3
1
0.00113
1
0.005
1
2
0.0004
1
3
298.15
5
1
0.00477
3
1
0.00107
1
0.005
1
2
0.0005
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303.15
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303.15
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303.15
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303.15
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303.15
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303.15
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308.15
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308.15
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308.15
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308.15
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2
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308.15
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2
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308.15
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2
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308.15
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2
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308.15
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308.15
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308.15
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2
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308.15
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308.15
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308.15
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308.15
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1
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1
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1
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1
2
0.0017
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3
308.15
5
1
0.01226
4
1
0.00127
1
0.01
1
2
0.0018
2
3
308.15
5
1
0.0125
3
1
0.0013
1
0.01
1
2
0.0019
2
3
308.15
5
1
0.01275
4
1
0.00132
1
0.01
1
2
0.002
1
3
308.15
5
1
0.01293
4
1
0.00132
1
0.01
1
2
0.0001
1
3
313.15
5
1
0.00306
3
1
0.00104
1
0.01
1
2
0.0002
1
3
313.15
5
1
0.00403
3
1
0.001
1
0.01
1
2
0.0003
1
3
313.15
5
1
0.00498
3
1
0.00102
1
0.01
1
2
0.0004
1
3
313.15
5
1
0.00587
3
1
0.00111
1
0.01
1
2
0.0005
1
3
313.15
5
1
0.00675
3
1
0.00109
1
0.01
1
2
0.0006
1
3
313.15
5
1
0.00777
3
1
0.00114
1
0.01
1
2
0.0007
1
3
313.15
5
1
0.00853
3
1
0.00117
1
0.01
1
2
0.0008
1
3
313.15
5
1
0.00936
3
1
0.00131
1
0.01
1
2
0.0009
1
3
313.15
5
1
0.01023
4
1
0.00116
1
0.01
1
2
0.001
1
3
313.15
5
1
0.01047
4
1
0.00113
1
0.01
1
2
0.0011
2
3
313.15
5
1
0.01105
4
1
0.00121
1
0.01
1
2
0.0012
2
3
313.15
5
1
0.01141
4
1
0.0012
1
0.01
1
2
0.0013
2
3
313.15
5
1
0.0118
3
1
0.0012
1
0.01
1
2
0.0014
2
3
313.15
5
1
0.01209
4
1
0.00126
1
0.01
1
2
0.0015
2
3
313.15
5
1
0.01234
4
1
0.00128
1
0.01
1
2
0.0016
2
3
313.15
5
1
0.01262
4
1
0.0013
1
0.01
1
2
0.0017
2
3
313.15
5
1
0.01279
4
1
0.00135
1
0.01
1
2
0.0018
2
3
313.15
5
1
0.01316
4
1
0.00137
1
0.01
1
2
0.0019
2
3
313.15
5
1
0.01337
4
1
0.00138
1
0.01
1
2
0.002
1
3
313.15
5
1
0.01359
4
1
0.0014
2
1
1
3
1
4
1
Principal objective of the work
AB
TRC
4/21/2017
1
Electrical conductivity, S/m
Alternating current cell with electrodes
Liquid
Direct value, X
1
4
1
Data file compiler
Propagation of evaluated standard uncertainties
95
Liquid
1
Pressure, kPa
Liquid
100
1
1
Solvent: Molality, mol/kg
1
Liquid
2
Molality, mol/kg
3
Liquid
3
Temperature, K
Liquid
1
0.001
1
2
0.0015
2
3
293.15
5
1
0.00684
3
1
0.00081
1
0.001
1
2
0.003
1
3
293.15
5
1
0.01243
4
1
0.00134
1
0.001
1
2
0.0045
2
3
293.15
5
1
0.0209
3
1
0.0022
1
0.001
1
2
0.0059
2
3
293.15
5
1
0.0269
3
1
0.0028
1
0.001
1
2
0.0073
2
3
293.15
5
1
0.0325
3
1
0.0034
1
0.001
1
2
0.0087
2
3
293.15
5
1
0.0396
3
1
0.004
1
0.001
1
2
0.0101
3
3
293.15
5
1
0.0456
3
1
0.0046
1
0.001
1
2
0.0116
3
3
293.15
5
1
0.052
2
1
0.0053
1
0.001
1
2
0.013
2
3
293.15
5
1
0.0565
3
1
0.0057
1
0.001
1
2
0.0144
3
3
293.15
5
1
0.0617
3
1
0.0062
1
0.001
1
2
0.0157
3
3
293.15
5
1
0.0659
3
1
0.0066
1
0.001
1
2
0.017
2
3
293.15
5
1
0.0704
3
1
0.0071
1
0.001
1
2
0.0184
3
3
293.15
5
1
0.0718
3
1
0.0072
1
0.001
1
2
0.0197
3
3
293.15
5
1
0.0735
3
1
0.0074
1
0.001
1
2
0.021
2
3
293.15
5
1
0.0753
3
1
0.0076
1
0.001
1
2
0.0223
3
3
293.15
5
1
0.077
2
1
0.0077
1
0.001
1
2
0.0236
3
3
293.15
5
1
0.0791
3
1
0.0079
1
0.001
1
2
0.0249
3
3
293.15
5
1
0.0802
3
1
0.008
1
0.001
1
2
0.0274
3
3
293.15
5
1
0.0826
3
1
0.0083
1
0.001
1
2
0.0286
3
3
293.15
5
1
0.0841
3
1
0.0084
1
0.001
1
2
0.0298
3
3
293.15
5
1
0.0865
3
1
0.0087
1
0.001
1
2
0.0015
2
3
298.15
5
1
0.00766
3
1
0.0009
1
0.001
1
2
0.003
1
3
298.15
5
1
0.01392
4
1
0.00149
1
0.001
1
2
0.0045
2
3
298.15
5
1
0.021
2
1
0.0022
1
0.001
1
2
0.0059
2
3
298.15
5
1
0.0275
3
1
0.0028
1
0.001
1
2
0.0073
2
3
298.15
5
1
0.0345
3
1
0.0035
1
0.001
1
2
0.0087
2
3
298.15
5
1
0.041
2
1
0.0042
1
0.001
1
2
0.0101
3
3
298.15
5
1
0.0469
3
1
0.0048
1
0.001
1
2
0.0116
3
3
298.15
5
1
0.0542
3
1
0.0055
1
0.001
1
2
0.013
2
3
298.15
5
1
0.059
2
1
0.006
1
0.001
1
2
0.0144
3
3
298.15
5
1
0.0645
3
1
0.0065
1
0.001
1
2
0.0157
3
3
298.15
5
1
0.068
2
1
0.0069
1
0.001
1
2
0.017
2
3
298.15
5
1
0.0723
3
1
0.0073
1
0.001
1
2
0.0184
3
3
298.15
5
1
0.0739
3
1
0.0075
1
0.001
1
2
0.0197
3
3
298.15
5
1
0.0756
3
1
0.0077
1
0.001
1
2
0.021
2
3
298.15
5
1
0.0774
3
1
0.0079
1
0.001
1
2
0.0223
3
3
298.15
5
1
0.0791
3
1
0.008
1
0.001
1
2
0.0236
3
3
298.15
5
1
0.0809
3
1
0.0082
1
0.001
1
2
0.0249
3
3
298.15
5
1
0.0823
3
1
0.0083
1
0.001
1
2
0.0274
3
3
298.15
5
1
0.0847
3
1
0.0085
1
0.001
1
2
0.0286
3
3
298.15
5
1
0.0863
3
1
0.0087
1
0.001
1
2
0.0298
3
3
298.15
5
1
0.0886
3
1
0.0089
1
0.001
1
2
0.0015
2
3
303.15
5
1
0.00785
3
1
0.00101
1
0.001
1
2
0.003
1
3
303.15
5
1
0.01458
4
1
0.00173
1
0.001
1
2
0.0045
2
3
303.15
5
1
0.0212
3
1
0.0023
1
0.001
1
2
0.0059
2
3
303.15
5
1
0.0283
3
1
0.003
1
0.001
1
2
0.0073
2
3
303.15
5
1
0.0361
3
1
0.0038
1
0.001
1
2
0.0087
2
3
303.15
5
1
0.0426
3
1
0.0045
1
0.001
1
2
0.0101
3
3
303.15
5
1
0.0495
3
1
0.0053
1
0.001
1
2
0.0116
3
3
303.15
5
1
0.0557
3
1
0.0058
1
0.001
1
2
0.013
2
3
303.15
5
1
0.0595
3
1
0.0064
1
0.001
1
2
0.0144
3
3
303.15
5
1
0.0641
3
1
0.0068
1
0.001
1
2
0.0157
3
3
303.15
5
1
0.0687
3
1
0.0072
1
0.001
1
2
0.017
2
3
303.15
5
1
0.0728
3
1
0.0076
1
0.001
1
2
0.0184
3
3
303.15
5
1
0.0744
3
1
0.0077
1
0.001
1
2
0.0197
3
3
303.15
5
1
0.076
2
1
0.0079
1
0.001
1
2
0.021
2
3
303.15
5
1
0.078
2
1
0.008
1
0.001
1
2
0.0223
3
3
303.15
5
1
0.08
1
1
0.0083
1
0.001
1
2
0.0236
3
3
303.15
5
1
0.0815
3
1
0.0084
1
0.001
1
2
0.0249
3
3
303.15
5
1
0.0833
3
1
0.0085
1
0.001
1
2
0.0274
3
3
303.15
5
1
0.0856
3
1
0.0088
1
0.001
1
2
0.0286
3
3
303.15
5
1
0.0872
3
1
0.0089
1
0.001
1
2
0.0298
3
3
303.15
5
1
0.0895
3
1
0.0092
1
0.001
1
2
0.0015
2
3
308.15
5
1
0.00816
3
1
0.0011
1
0.001
1
2
0.003
1
3
308.15
5
1
0.01472
4
1
0.00186
1
0.001
1
2
0.0045
2
3
308.15
5
1
0.0218
3
1
0.0027
1
0.001
1
2
0.0059
2
3
308.15
5
1
0.0291
3
1
0.0033
1
0.001
1
2
0.0073
2
3
308.15
5
1
0.0364
3
1
0.0042
1
0.001
1
2
0.0087
2
3
308.15
5
1
0.0424
3
1
0.005
1
0.001
1
2
0.0101
3
3
308.15
5
1
0.0489
3
1
0.0058
1
0.001
1
2
0.0116
3
3
308.15
5
1
0.0552
3
1
0.0065
1
0.001
1
2
0.013
2
3
308.15
5
1
0.0599
3
1
0.0069
1
0.001
1
2
0.0144
3
3
308.15
5
1
0.0661
3
1
0.0075
1
0.001
1
2
0.0157
3
3
308.15
5
1
0.0705
3
1
0.0079
1
0.001
1
2
0.017
2
3
308.15
5
1
0.0742
3
1
0.0081
1
0.001
1
2
0.0184
3
3
308.15
5
1
0.0773
3
1
0.0083
1
0.001
1
2
0.0197
3
3
308.15
5
1
0.0796
3
1
0.0085
1
0.001
1
2
0.021
2
3
308.15
5
1
0.0815
3
1
0.0086
1
0.001
1
2
0.0223
3
3
308.15
5
1
0.0832
3
1
0.0088
1
0.001
1
2
0.0236
3
3
308.15
5
1
0.0849
3
1
0.009
1
0.001
1
2
0.0249
3
3
308.15
5
1
0.0867
3
1
0.0092
1
0.001
1
2
0.0274
3
3
308.15
5
1
0.0883
3
1
0.0093
1
0.001
1
2
0.0286
3
3
308.15
5
1
0.0901
3
1
0.0095
1
0.001
1
2
0.0298
3
3
308.15
5
1
0.0916
3
1
0.0097
1
0.001
1
2
0.0015
2
3
313.15
5
1
0.00866
3
1
0.00131
1
0.001
1
2
0.003
1
3
313.15
5
1
0.01572
4
1
0.00231
1
0.001
1
2
0.0045
2
3
313.15
5
1
0.0222
3
1
0.003
1
0.001
1
2
0.0059
2
3
313.15
5
1
0.0299
3
1
0.0038
1
0.001
1
2
0.0073
2
3
313.15
5
1
0.0368
3
1
0.005
1
0.001
1
2
0.0087
2
3
313.15
5
1
0.0436
3
1
0.0059
1
0.001
1
2
0.0101
3
3
313.15
5
1
0.0499
3
1
0.0062
1
0.001
1
2
0.0116
3
3
313.15
5
1
0.0572
3
1
0.0069
1
0.001
1
2
0.013
2
3
313.15
5
1
0.0628
3
1
0.0073
1
0.001
1
2
0.0144
3
3
313.15
5
1
0.0681
3
1
0.0078
1
0.001
1
2
0.0157
3
3
313.15
5
1
0.0726
3
1
0.0081
1
0.001
1
2
0.017
2
3
313.15
5
1
0.0768
3
1
0.0085
1
0.001
1
2
0.0184
3
3
313.15
5
1
0.0793
3
1
0.0087
1
0.001
1
2
0.0197
3
3
313.15
5
1
0.0812
3
1
0.0088
1
0.001
1
2
0.021
2
3
313.15
5
1
0.083
2
1
0.009
1
0.001
1
2
0.0223
3
3
313.15
5
1
0.0847
3
1
0.0091
1
0.001
1
2
0.0236
3
3
313.15
5
1
0.0865
3
1
0.0093
1
0.001
1
2
0.0249
3
3
313.15
5
1
0.0882
3
1
0.0095
1
0.001
1
2
0.0274
3
3
313.15
5
1
0.0899
3
1
0.0096
1
0.001
1
2
0.0286
3
3
313.15
5
1
0.0914
3
1
0.0098
1
0.001
1
2
0.0298
3
3
313.15
5
1
0.0929
3
1
0.01
1
0.005
1
2
0.0015
2
3
293.15
5
1
0.00765
3
1
0.00094
1
0.005
1
2
0.003
1
3
293.15
5
1
0.01432
4
1
0.00175
1
0.005
1
2
0.0045
2
3
293.15
5
1
0.0211
3
1
0.0024
1
0.005
1
2
0.0059
2
3
293.15
5
1
0.0289
3
1
0.0032
1
0.005
1
2
0.0073
2
3
293.15
5
1
0.0365
3
1
0.004
1
0.005
1
2
0.0087
2
3
293.15
5
1
0.042
2
1
0.0046
1
0.005
1
2
0.0101
3
3
293.15
5
1
0.0479
3
1
0.0052
1
0.005
1
2
0.0116
3
3
293.15
5
1
0.0548
3
1
0.0059
1
0.005
1
2
0.013
2
3
293.15
5
1
0.0585
3
1
0.0063
1
0.005
1
2
0.0144
3
3
293.15
5
1
0.0635
3
1
0.0068
1
0.005
1
2
0.0157
3
3
293.15
5
1
0.0677
3
1
0.0072
1
0.005
1
2
0.017
2
3
293.15
5
1
0.0721
3
1
0.0076
1
0.005
1
2
0.0184
3
3
293.15
5
1
0.074
2
1
0.0078
1
0.005
1
2
0.0197
3
3
293.15
5
1
0.0755
3
1
0.0079
1
0.005
1
2
0.021
2
3
293.15
5
1
0.0777
3
1
0.0081
1
0.005
1
2
0.0223
3
3
293.15
5
1
0.0798
3
1
0.0083
1
0.005
1
2
0.0236
3
3
293.15
5
1
0.0811
3
1
0.0084
1
0.005
1
2
0.0249
3
3
293.15
5
1
0.0829
3
1
0.0086
1
0.005
1
2
0.0274
3
3
293.15
5
1
0.0851
3
1
0.0088
1
0.005
1
2
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303.15
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303.15
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308.15
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1
2
0.0045
2
3
308.15
5
1
0.0315
3
1
0.0033
1
0.01
1
2
0.0059
2
3
308.15
5
1
0.0381
3
1
0.004
1
0.01
1
2
0.0073
2
3
308.15
5
1
0.0464
3
1
0.0047
1
0.01
1
2
0.0087
2
3
308.15
5
1
0.0551
3
1
0.0056
1
0.01
1
2
0.0101
3
3
308.15
5
1
0.0669
3
1
0.0068
1
0.01
1
2
0.0116
3
3
308.15
5
1
0.0742
3
1
0.0075
1
0.01
1
2
0.013
2
3
308.15
5
1
0.0789
3
1
0.008
1
0.01
1
2
0.0144
3
3
308.15
5
1
0.0851
3
1
0.0086
1
0.01
1
2
0.0157
3
3
308.15
5
1
0.0905
3
1
0.0091
1
0.01
1
2
0.017
2
3
308.15
5
1
0.0942
3
1
0.0095
1
0.01
1
2
0.0184
3
3
308.15
5
1
0.0973
3
1
0.0098
1
0.01
1
2
0.0197
3
3
308.15
5
1
0.0976
3
1
0.0099
1
0.01
1
2
0.021
2
3
308.15
5
1
0.1015
4
1
0.0103
1
0.01
1
2
0.0223
3
3
308.15
5
1
0.1032
4
1
0.0104
1
0.01
1
2
0.0236
3
3
308.15
5
1
0.1032
4
1
0.0104
1
0.01
1
2
0.0249
3
3
308.15
5
1
0.1067
4
1
0.0108
1
0.01
1
2
0.0274
3
3
308.15
5
1
0.1083
4
1
0.011
1
0.01
1
2
0.0286
3
3
308.15
5
1
0.1113
4
1
0.0112
1
0.01
1
2
0.0298
3
3
308.15
5
1
0.1116
4
1
0.0113
1
0.01
1
2
0.0015
2
3
313.15
5
1
0.01166
4
1
0.00138
1
0.01
1
2
0.003
1
3
313.15
5
1
0.0227
3
1
0.0024
1
0.01
1
2
0.0045
2
3
313.15
5
1
0.0322
3
1
0.0033
1
0.01
1
2
0.0059
2
3
313.15
5
1
0.0411
3
1
0.0042
1
0.01
1
2
0.0073
2
3
313.15
5
1
0.0506
3
1
0.0051
1
0.01
1
2
0.0087
2
3
313.15
5
1
0.0606
3
1
0.0061
1
0.01
1
2
0.0101
3
3
313.15
5
1
0.0702
3
1
0.0071
1
0.01
1
2
0.0116
3
3
313.15
5
1
0.0762
3
1
0.0077
1
0.01
1
2
0.013
2
3
313.15
5
1
0.0811
3
1
0.0082
1
0.01
1
2
0.0144
3
3
313.15
5
1
0.0871
3
1
0.0088
1
0.01
1
2
0.0157
3
3
313.15
5
1
0.0926
3
1
0.0093
1
0.01
1
2
0.017
2
3
313.15
5
1
0.0968
3
1
0.0097
1
0.01
1
2
0.0184
3
3
313.15
5
1
0.0993
3
1
0.01
1
0.01
1
2
0.0197
3
3
313.15
5
1
0.1012
4
1
0.0102
1
0.01
1
2
0.021
2
3
313.15
5
1
0.103
3
1
0.0104
1
0.01
1
2
0.0223
3
3
313.15
5
1
0.1047
4
1
0.0105
1
0.01
1
2
0.0236
3
3
313.15
5
1
0.1065
4
1
0.0107
1
0.01
1
2
0.0249
3
3
313.15
5
1
0.1082
4
1
0.0109
1
0.01
1
2
0.0274
3
3
313.15
5
1
0.1099
4
1
0.0111
1
0.01
1
2
0.0286
3
3
313.15
5
1
0.1114
4
1
0.0112
1
0.01
1
2
0.0298
3
3
313.15
5
1
0.1129
4
1
0.0113