For the standard UNIFAC parameter set implemented in the model the sources of values are:
H. K. Hansen, P. Rasmussen, A. Fredenslund, M. Schiller, and J Gmehling (1991) Ind. Eng. Chem. Res. 30, 2352-2355.
R. Wittig, J. Lohmann, and J. Gmehling (2003) Ind. Eng. Chem. Res. 42, 183-188.
We have also added functional groups and parameters from:
K. Balslev and J. Abildskov (2002) Ind. Eng. Chem. Res. 41, 2047-205.
In the parameter set modified by C. K. Chan and co-workers (C. Peng, M. N. Chan, and C. K. Chan (2001) Environ. Sci. Technol. 35, 4495-4501) the following changes are made to values of interaction parameters a(i,j):
Sub
Groups Peng Standard
i j a(i,j) a(i,j)
---- ---- ----- ------
OH COOH 224.39 199.0
COOH OH -103.03 -151.0
OH H2O 265.87 353.5
H2O OH -467.42 -229.1
H2O COOH -69.29 -14.09
COOH H2O -145.88 66.17
In Table 1 below the symbol for each functional group is listed together with the main group number in the first column, the fitted parameters Rk and Qk, and examples of how the groups are used to specify molecular group composition in the model.
Values of the parameters a(i,j) and a(j,i) for main group interactions are listed after the table.
Table 1. UNIFAC Structural Groups and Examples of Their Use
Group Symbol Rk Qk Example
-----------------------------------------------------------------
1 alkane group
-------------------
CH3 (end group of chain) 0.9011 0.848 ethane: 2*CH3
CH2 (middle group of chain) 0.6744 0.540 n-butane: 2*CH3 2*CH2
CH (middle group of chain) 0.4469 0.228 isobutane: 3*CH3 1*CH
C (bonded to 4 other C) 0.2195 0.0 neopentane: 4*CH3 1*C
2 alpha-olefin group
-------------------------
CH2=CH 1.3454 1.176 hexene-1: 1*CH3 3*CH2 1*CH2=CH
CH=CH 1.1167 0.867 hexene-2: 1*CH3 2*CH2 1*CH=CH
CH2=C 1.1173 0.988 2-methyl-1-butene: 2*CH3 1*CH2 1*CH2=CH
CH=C 0.8886 0.676 2-methyl-2-butene: 2*CH3 1*CH=C
C=C 0.6605 0.485 2,3-dimethylbutene: 4*CH3 1*C=C
3 aromatic carbon
----------------------
ACH 0.5313 0.400 napthaline: 8*ACH 2*AC
AC 0.3652 0.120 styrene: 1*CH2=CH 5*ACH 1*AC
4 aromatic carbon-alkane
-----------------------------
ACCH3 1.2663 0.968 toluene: 5*ACH 1*ACCH3
ACCH2 1.0396 0.660 ethylbenzene: 5*ACH 1*ACCH2 1*CH3
ACCH 0.8121 0.348 cumene: 2*CH3 5*ACH 1*ACCH
5 alcohol
--------------
OH 1.0000 1.200 propanol-2: 2*CH3 1*CH 1*OH
methanol
---------------
6 CH3OH 1.4311 1.432 methanol: 1*CH3OH
7 water
------------
H2O 0.92 1.4 water: 1*H2O
8 aromatic carbon-alcohol
-----------------------------
ACOH 0.8952 0.68 phenol: 5*ACH 1*ACOH
9 carbonyl
---------------
CH3CO 1.6724 1.448 butanone: 1*CH3 1*CH2 1*CH3CO
CH2CO 1.4457 1.180 pentanone-3: 2*CH3 1*CH2 1*CH2CO
10 aldehyde
---------------
HCO 0.9980 0.948 propionaldehyde: 1*CH3 1*CH2 1*HCO
11 acetate group
--------------------
CH3COO 1.9031 1.728 butyl acetate: 1*CH3 3*CH2 1*CH3COO
CH2COO 1.6764 1.420 methyl propionate: 2*CH3 1*CH2COO
12 formate group
--------------------
HCOO 1.2420 1.188 ethyl formate: 1*CH3 1*CH2 1*HCOO
13 ether
------------
CH3O 1.1450 1.088 dimethyl ether: 1*CH3 1*CH3CO
CH2O 0.9183 0.780 diethyl ether: 2*CH3 1*CH2 1*CH2O
CHO 0.6908 0.468 diisopropyl ether: 4*CH3 1*CH 1*CHO
THF 0.9183 1.100 tetrahydrofuran: 3*CH2 1*THF
14 primary amine
-------------------
CH3NH2 1.5959 1.544 methylamine: 1*CH3NH
CH2NH2 1.3692 1.236 ethylamine 1*CH3 1*CH2NH2
CHNH2 1.1417 0.924 isopropyl amine: 2*CH3 1*CHNH2
15 secondary amine group
----------------------------
CH3NH 1.4337 1.244 dimethylamine: 1*CH3 1*CH3NH
CH2NH 1.2070 0.936 diethylamine: 2*CH3 1*CH2 1*CH2NH
CHNH 0.9795 0.624 diisopropyl amine: 4*CH2 1*CH 1*CHNH
16 tertiary amine
---------------------
CH3N 1.1865 0.940 trimethylamine: 2*CH3 1*CH3N
CH2N 0.9597 0.632 triethylamine: 3*CH3 2*CH2 1*CH2N
17 aromatic amine
---------------------
ACNH2 1.0600 0.816 aniline: 5*ACH 1*ACNH2
18 pyridine
---------------
C5H5N 2.9993 2.113 pyridine: 1*C5H5N
C5H4N 2.8332 1.833 2-methylpyridine: 1*CH3 1*C5H4N
C5H3N 2.6670 1.553 2 3-dimethylpyridine: 2*CH3 1*C5H3N
19 CCN
----------
CH3CN 1.8701 1.724 acetonitrile: 1*CH3CN
CH2CN 1.6434 1.416 propionitrile: 1*CH3 1*CH2CN
20 COOH
-----------
COOH 1.3013 1.224 acetic acid: 1*CH3 1*COOH
HCOOH 1.5280 1.532 formic acid: 1*HCOOH
21 CCl
----------
CH2Cl 1.4654 1.264 butane-1-chloro: 1*CH3 2*CH2 1*CH2Cl
CHCl 1.2380 0.952 propane-2-chloro: 2*CH3 1*CHCl
CCl 1.0106 0.724 2-methylpropane-2-chloro: 2*CH3 1*CCl
22 CCl2
-----------
CH2Cl2 2.2564 1.998 methane-dichloro: 1*CH2Cl2
CHCl2 2.0606 1.684 ethane-1,1-dichloro: 1*CH3 1*CHCl2
CCl2 1.8016 1.448 propane-2,2-dichloro: 2*CH3 1*CCl2
23 CCl3
-----------
CHCl3 2.8700 2.410 chloroform: 1*CHCl3
CCl3 2.6401 2.184 ethane-1,1,1-trichloro: 1*CH3 1*CCl3
24 CCl4
-----------
CCl4 3.3900 2.910 methane-tetrachloro: 1*CCl4
25 aromatic chloro
---------------------
ACCl 1.1562 0.844 benzene-chloro: 5*ACH 1*ACCl
26 CNO2
-----------
CH3NO2 2.0086 1.868 nitromethane: 1*CH3NO2
CH2NO2 1.7818 1.560 propane-1-nitro: 1*CH3 1*CH2 1*CH2NO2
CHNO2 1.5544 1.248 propane-2-nitro: 2*CH3 1*CHNO2
27 aromatic nitro
---------------------
ACNO2 1.4199 1.104 benzene-nitro: 5*ACH 1*ACNO2
28 carbon disulphide
------------------------
CS2 2.0570 1.650 carbon disulphide: 1*CS2
29 CH3SH
------------
CH3SH 1.8770 1.676 methanethiol: 1*CH3SH
CH2SH 1.6510 1.368 ethanethiol: 1*CH3 1*CH2SH
30 furfural
---------------
furfural 3.1680 2.484 furfural: 1*furfural
31 ethanediol
-----------------
DOH 2.4088 2.248 1,2-ethanediol: 1*DOH
32 iodo compounds
---------------------
I 1.2640 0.992 iodoethane: 1*CH3 1*CH2 1*I
33 bromo compounds
----------------------
Br 0.9492 0.832 bromoethane: 1*CH3 1*CH2 1*Br
34 carbon triple bond
-------------------------
CH{triple}C 1.2920 1.088 hexyne-1: 1*CH3 3*CH2 1*CH{triple}C
C{triple}C 1.0613 0.784 hexyne-2: 2*CH3 2*CH2 1*C{triple}C
35 dimethylsulphoxide
-------------------------
DMSO 2.8266 2.472 dimethylsulfoxide: 1*DMSO
36 acrylonitrile
--------------------
acrylnitrile 2.3144 2.052 acrylnitrile: 1*acrylnitrile
37 Cl, double bonded carbon
-------------------------------
Cl-C=C 0.7910 0.724 ethene-trichloro: 1*CH=C 3*Cl-(C=C)
38 aromatic fluoro
----------------------
ACF 0.6948 0.524 hexafluorobenzene: 6*ACF
39 DMF
----------
DMF 3.0856 2.736 n,n-dimethylformamide: 1*DMF
HCON(CH2)2 2.6322 2.120 n,n-diethylformamide: 2*CH3 1*HCON(CH2)2
40 CF2
----------
CF3 1.4060 1.380 perfluorohexane: 2*CF3 4*CF2
CF2 1.0105 0.920
CF 0.6150 0.460 perfluoromethylcyclohexane: 1*CF3 5*CF2 1*CF
41 acrylate
---------------
COO 1.3800 1.200 methyl acrylate: 1*CH3 1*CH2=CH 1*COO
42 SiH2
-----------
SiH3 1.6035 1.263 methylsilane: 1*CH3 1*SiH3
SiH2 1.4443 1.006 diethylsilane: 2*CH3 2*CH2 1*SiH2
SiH 1.2853 0.749 heptamethyltrisiloxane: 7*CH3 2*SiO 1*SiH
Si 1.0470 0.410 heptamethyldisiloxane: 6*CH3 1*SiO 1*Si
43 SiO
----------
SiH2O 1.4838 1.062 1,3-dimethyldisiloxane: 3*CH3 1*SiH2O 1*SiH2
SiHO 1.3030 0.764 1,1,3,3-tetramethyldisiloxane: 4*CH3 1*SiHO 1*SiH
SiO 1.1044 0.466 octamethylcyclotetrasiloxane: 8*CH3 4*SiO
44 methylpyrrolidone
------------------------
NMP 3.9810 3.200 n-methylpyrrolidone: 1*NMP
45 CClF
-----------
CCl3F 3.0356 2.644 trichlorofluoromethane: 1*CCl3F
CCl2F 2.2287 1.916 tetrachloro-1,2-difluoroethane: 2*CCl2F
HCCl2F 2.4060 2.116 dichlorofluoromethane: 1*HCCl2F
HCClF 1.6493 1.416 1-chloro-1,2,2,2-tetrafluoroethane: 1*CF3 1*HCClF
CClF2 1.8174 1.648 1,2-dichlorotetrafluoroethane: 2*CClF2
HCClF2 1.9670 1.828 chlorodifluoromethane: 1*HCClF2
CClF3 2.1721 2.100 chlorotrifluoromethane: 1*CClF3
CCl2F2 2.6243 2.376 dichlorodifluoromethane: 1*CCl2F2
46 CON
----------
CONH2 1.4515 1.248 acetamide: 1*CH3 1*CONH2
CONHCH3 2.1905 1.796 n-methylacetamide: 1*CH3 1*CONHCH3
CONHCH2 1.9637 1.488 n-ethylacetamide: 2*CH3 1*CONHCH2
CON(CH3)2 2.8589 2.428 n,n-dimethylacetamid: 1*CH3 1*CON(CH3)2
CONCH3CH2 2.6322 2.120 n,n-methylethylacetamid: 2*CH3 1*CONCH3CH2
CON(CH2)2 2.4054 1.812 n,n-diethylacetamid: 3*CH3 1*CON(CH2)2
47 OCCOH
------------
C2H5O2 2.1226 1.904 2-ethoxyethanol: 1*CH3 1*CH2 1*C2H5O2
C2H4O2 1.8952 1.592 2-ethoxy-1-propanol: 2*CH3 1*CH2 1*C2H4O2
48 CH2S
-----------
CH3S 1.6130 1.368 dimethylsulphide: 1*CH3 1*CH3S
CH2S 1.3863 1.060 diethylsulphide: 2*CH3 1*CH2 1*CH2S
CHS 1.1589 0.748 diisopropylsulphide: 4*CH3 1*CH 1*CHS
49 morpholine
-----------------
morpholine 3.4740 2.796 morpholine: 1*MORPH
50 thiophene
----------------
C4H4S 2.8569 2.140 thiophene: 1*C4H4S
C4H3S 2.6908 1.860 2-methylthiophene: 1*CH3 1*C4H3S
C4H2S 2.5247 1.580 2 3-dimethylthiophene: 2*CH3 1*C4H2S
52 sulphones
----------------
CH2SuCH2 2.6869 2.120 sulfolane: 1*CH2SuCH2 2*CH3
CH2SuCH 2.4595 1.808 2,4 dimethyl sulfolane: 1*CH2SuCH 1*CH3 1*CH2 1*CH
53 oxides
-------------
CH2OCH2 1.5926 1.320 ethylene oxide: 1*CH2OCH2
CH2OCH 1.3652 1.008 1,2-propylene oxied: 1*CH3 1*CH2OCH
CH2OC 1.1378 0.780 1,2-epoxy-2-methylpropane: 2*CH3 1*CH2OC
CHOCH 1.1378 0.696 2,3 epoxybutane: 2*CH3 1*CHOCH
CHOC 0.9103 0.468 2,3-epoxy-2-methylbutane: 3*CH3 1*CHOCH
COC 0.6829 0.240 2,3-epoxy-2 3-dimethylbutane: 4*CH3 1*COC
54 anhydrides
-----------------
O=COC=O 1.7732 1.520 acetic anhydride: 2*CH3 1*O=COC=O
55 aromatic nitrile
-----------------------
AC-CN 1.3342 0.996 benzonitrile: 5*ACH 1*AC-CN
56 aromatic bromo
---------------------
AC-Br 1.3629 0.972 bromobenzene: 5*ACH 1*AC-Br
The UNIFAC energy interaction parameters are listed in Table 2 below. Each sub group (for example, the CH3, CH2, CH and C listed for the main group 'alkanes') has the same set of energy interaction parameters. These parameters are referenced by main group number (column 1 from Table 1).
Table 2. UNIFAC Energy Interaction Parameters
i j a(i,j) i j a(i,j) i j a(i,j) i j a(i,j) i j a(i,j)
--------------- --------------- --------------- --------------- -----------
1 1 0.0000 1 7 1318.0 1 16 206.60 11 25 442.40 1 39 485.30
2 1 -35.360 2 7 270.60 2 16 61.110 12 25 24.280 2 39 -70.450
3 1 -11.120 3 7 903.80 3 16 90.490 13 25 134.80 3 39 245.60
4 1 -69.700 4 7 5695.0 4 16 23.500 14 25 30.050 4 39 5629.0
5 1 156.40 5 7 353.50 5 16 -323.00 15 25 -18.930 5 39 -143.90
6 1 16.510 6 7 -181.00 6 16 53.900 16 25 -181.90 6 39 -172.40
7 1 300.00 7 7 0.0000 7 16 304.00 17 25 617.50 7 39 319.00
8 1 275.80 8 7 -601.80 9 16 -169.00 18 25 -2.17 9 39 -61.700
9 1 26.76 9 7 472.50 11 16 -196.70 19 25 -4.6240 10 39 -268.80
10 1 505.70 10 7 480.80 13 16 5422.3 20 25 -79.080 11 39 85.330
11 1 114.80 11 7 200.80 14 16 -41.110 21 25 153.00 12 39 308.90
12 1 329.30 12 7 124.63 15 16 -189.20 22 25 223.10 13 39 254.80
13 1 83.360 13 7 -314.70 16 16 0.0000 23 25 192.10 14 39 -164.00
14 1 -30.480 14 7 -330.48 17 16 -24.46 24 25 -75.970 15 39 -255.22
15 1 65.330 15 7 -448.20 19 16 -446.86 25 25 0.0000 16 39 22.050
16 1 -83.980 16 7 -598.80 21 16 151.38 26 25 132.90 17 39 -334.40
17 1 1139.0 17 7 -341.60 22 16 -141.40 27 25 -123.10 19 39 -151.50
18 1 -101.60 18 7 -332.90 23 16 -293.70 33 25 -185.30 20 39 -228.00
19 1 24.820 19 7 242.80 24 16 316.90 35 25 -334.12 21 39 6.57
20 1 315.30 20 7 -66.170 25 16 2951.0 39 25 -374.16 22 39 -160.28
21 1 91.460 21 7 698.20 35 16 -257.2 40 25 33.95 24 39 498.60
22 1 34.010 22 7 708.70 38 16 116.50 41 25 1107.0 25 39 5143.14
23 1 36.700 23 7 826.76 39 16 -185.20 44 25 161.50 26 39 -223.10
24 1 -78.450 24 7 1201.0 1 17 920.70 47 25 7.0820 29 39 78.920
25 1 106.80 25 7 -274.50 2 17 749.30 1 26 661.50 31 39 302.20
26 1 -32.690 26 7 417.90 3 17 648.20 2 26 357.50 33 39 336.25
27 1 5541.0 27 7 360.70 4 17 664.20 3 26 168.00 34 39 -119.80
28 1 -52.650 28 7 1081.0 5 17 -52.390 4 26 3629.0 35 39 -97.710
29 1 -7.4810 30 7 23.480 6 17 489.70 5 26 256.50 36 39 -8.8040
30 1 -25.310 31 7 -137.40 7 17 459.00 6 26 75.140 37 39 255.00
31 1 140.00 33 7 79.18 8 17 -305.50 7 26 220.60 38 39 -110.65
32 1 128.00 35 7 -240.00 9 17 6201.0 9 26 137.50 39 39 0.0000
33 1 -31.520 36 7 386.60 11 17 475.50 11 26 -81.130 40 39 55.800
34 1 -72.880 39 7 -287.10 13 17 -46.39 13 26 95.180 41 39 -28.650
35 1 50.490 41 7 284.40 14 17 -200.70 19 26 -0.5150 1 40 -2.8590
36 1 -165.90 42 7 180.20 15 17 138.54 21 26 32.730 2 40 449.40
37 1 47.410 44 7 832.20 16 17 287.43 22 26 108.90 3 40 22.670
38 1 -5.1320 46 7 -509.30 17 17 0.0000 24 26 490.90 4 40 -245.39
39 1 -31.950 47 7 -205.70 18 17 117.40 25 26 132.70 13 40 -172.51
40 1 147.30 49 7 -384.30 19 17 777.40 26 26 0.0000 25 40 309.58
41 1 529.00 52 7 627.39 20 17 493.80 27 26 -85.120 38 40 -117.20
42 1 -34.360 1 8 1333.0 21 17 429.70 28 26 277.80 39 40 -5.5790
43 1 110.20 2 8 526.10 22 17 140.80 31 26 481.30 40 40 0.0000
44 1 13.890 3 8 1329.0 24 17 898.20 32 26 64.280 45 40 -32.170
45 1 30.740 4 8 884.90 25 17 334.90 33 26 125.30 1 41 387.10
46 1 27.970 5 8 -259.70 27 17 134.90 34 26 174.40 2 41 48.330
47 1 -11.920 6 8 -101.70 31 17 192.30 37 26 379.40 3 41 103.50
48 1 39.930 7 8 324.50 39 17 343.70 39 26 223.60 4 41 69.260
49 1 -23.610 8 8 0.0000 41 17 -22.100 41 26 -124.70 5 41 190.30
50 1 -8.4790 9 8 -133.1 1 18 287.77 45 26 844.00 6 41 165.70
52 1 245.21 10 8 -155.60 2 18 280.50 50 26 176.30 7 41 -197.50
1 2 86.020 11 8 -36.720 3 18 -4.4490 1 27 543.00 8 41 -494.20
2 2 0.0000 12 8 -234.25 4 18 52.800 3 27 194.90 9 41 -18.800
3 2 3.4460 13 8 -178.5 5 18 170.00 4 27 4448.0 10 41 -275.50
4 2 -113.60 14 8 -870.8 6 18 580.50 5 27 157.10 11 41 560.20
5 2 457.00 17 8 -253.10 7 18 459.00 6 27 457.88 12 41 -70.240
6 2 -12.520 18 8 -341.60 8 18 -305.50 7 27 399.50 13 41 417.00
7 2 496.10 20 8 -11.000 9 18 7.3410 8 27 -413.48 15 41 -38.770
8 2 217.50 22 8 1633.5 11 18 -0.13 9 27 548.50 17 41 -89.420
9 2 42.920 24 8 10000 12 18 -233.40 13 27 155.11 19 41 120.30
10 2 56.300 25 8 622.30 13 18 213.20 17 27 -139.30 20 41 -337.00
11 2 132.10 27 8 815.12 15 18 431.49 18 27 2845.0 21 41 63.670
12 2 110.40 28 8 1421.0 17 18 89.700 21 27 86.200 22 41 -96.870
13 2 26.510 31 8 838.40 18 18 0.0000 24 27 534.70 23 41 255.80
14 2 1.1630 41 8 -167.30 19 18 134.30 25 27 2213.0 24 41 256.50
15 2 -28.700 44 8 -234.70 20 18 -313.50 26 27 533.20 25 41 -145.10
16 2 -25.380 50 8 810.50 22 18 587.30 27 27 0.0000 26 41 248.40
17 2 2000.0 1 9 476.40 23 18 18.980 32 27 2448.0 28 41 469.80
18 2 -47.630 2 9 182.60 24 18 368.50 33 27 4288.0 30 41 43.370
19 2 -40.620 3 9 25.770 25 18 20.18 1 28 153.60 31 41 347.80
20 2 1264.0 4 9 -52.100 27 18 2475.0 2 28 76.302 32 41 68.550
21 2 40.250 5 9 84.000 33 18 -42.710 3 28 52.070 33 41 -195.10
22 2 -23.500 6 9 23.390 37 18 281.60 4 28 -9.4510 35 41 153.70
23 2 51.060 7 9 -195.40 38 18 159.80 5 28 488.90 36 41 423.40
24 2 160.90 8 9 -356.10 50 18 221.40 6 28 -31.090 37 41 730.80
25 2 70.320 9 9 0.0000 1 19 597.00 7 28 887.10 39 41 72.310
26 2 -1.9960 10 9 128.00 2 19 336.90 8 28 8484.0 41 41 0.0000
28 2 16.620 11 9 372.20 3 19 212.50 9 28 216.10 47 41 101.2
30 2 82.640 12 9 385.40 4 19 6096.0 11 28 183.00 1 42 -450.40
33 2 174.60 13 9 191.10 5 19 6.7120 13 28 140.90 3 42 -432.30
34 2 41.380 15 9 394.60 6 19 53.280 19 28 230.90 4 42 683.30
35 2 64.070 16 9 225.30 7 19 112.60 21 28 450.10 5 42 -817.70
36 2 573.00 17 9 -450.30 9 19 481.70 23 28 116.60 7 42 -363.80
37 2 124.20 18 9 29.100 10 19 -106.4 24 28 132.20 9 42 -588.90
38 2 -131.70 19 9 -287.50 11 19 494.60 26 28 320.20 13 42 1338.0
39 2 249.00 20 9 -297.80 12 19 -47.250 28 28 0.0000 14 42 -664.40
40 2 62.400 21 9 286.30 13 19 -18.510 32 28 -27.450 15 42 448.10
41 2 1397.0 22 9 82.860 14 19 358.90 37 28 167.90 20 42 169.30
44 2 -16.110 23 9 552.10 15 19 147.10 41 28 885.50 42 42 0.0000
46 2 9.7550 24 9 372.00 16 19 1255.10 1 29 184.40 43 42 745.30
47 2 132.40 25 9 518.40 17 19 -281.60 3 29 -10.430 1 43 252.70
48 2 543.60 26 9 -142.60 18 19 -169.70 4 29 393.60 3 43 238.90
49 2 161.10 27 9 -101.50 19 19 0.0000 5 29 147.50 4 43 355.50
52 2 384.45 28 9 303.70 20 19 92.07 6 29 17.500 5 43 202.70
1 3 61.130 29 9 160.60 21 19 54.320 9 29 -46.280 14 43 275.90
2 3 38.810 30 9 317.50 22 19 258.60 12 29 103.90 15 43 -1327.0
3 3 0.0000 31 9 135.40 23 19 74.040 13 29 -8.5380 20 43 127.20
4 3 -146.80 32 9 138.00 24 19 492.00 14 29 -70.140 24 43 233.10
5 3 89.600 33 9 -142.60 25 19 363.50 19 29 0.46040 42 43 -2166.0
6 3 -50.000 34 9 443.60 26 19 0.28270 21 29 59.020 43 43 0.0000
7 3 362.30 35 9 110.40 28 19 335.70 29 29 0.0000 1 44 220.30
8 3 25.340 36 9 114.55 29 19 161.00 35 29 85.700 2 44 86.460
9 3 140.10 37 9 -40.900 31 19 169.60 39 29 -71.000 3 44 30.040
10 3 23.390 39 9 97.040 33 19 136.90 44 29 -274.10 4 44 46.380
11 3 85.840 41 9 123.40 34 19 329.10 48 29 6.9710 5 44 -504.20
12 3 18.12 42 9 992.40 36 19 -42.310 1 30 354.55 7 44 -452.20
13 3 52.130 47 9 156.40 37 19 335.20 2 30 262.90 8 44 -659.00
14 3 -44.850 50 9 278.80 39 19 150.60 3 30 -64.690 23 44 -35.680
15 3 -22.310 1 10 677.00 41 19 -61.600 4 30 48.490 25 44 -209.7
16 3 -223.90 2 10 448.80 47 19 119.20 5 30 -120.50 29 44 1004.0
17 3 247.50 3 10 347.30 1 20 663.50 6 30 -61.76 31 44 -262.00
18 3 31.870 4 10 586.60 2 20 318.90 7 30 188.00 38 44 26.350
19 3 -22.970 5 10 -203.60 3 20 537.40 9 30 -163.70 44 44 0.0000
20 3 62.320 6 10 306.40 4 20 872.30 11 30 202.30 1 45 -5.8690
21 3 4.6800 7 10 -116.00 5 20 199.00 13 30 170.10 3 45 -88.110
22 3 121.30 8 10 -271.10 6 20 -202.00 20 30 -208.90 5 45 72.960
23 3 288.50 9 10 -37.360 7 20 -14.090 21 30 65.56 6 45 -52.100
24 3 -4.7000 10 10 0.0000 8 20 408.90 22 30 149.56 26 45 -218.90
25 3 -97.270 11 10 185.10 9 20 669.40 23 30 -64.380 40 45 111.80
26 3 10.380 12 10 -236.50 10 20 497.50 24 30 546.70 45 45 0.0000
27 3 1824.0 13 10 -7.8380 11 20 660.20 30 30 0.0000 1 46 390.90
28 3 21.500 19 10 224.66 12 20 -268.10 37 30 82.640 2 46 200.20
29 3 28.410 20 10 -165.50 13 20 664.60 41 30 -64.280 5 46 -382.70
30 3 157.30 21 10 -47.510 17 20 -396.00 1 31 3025.0 7 46 835.60
31 3 221.40 22 10 190.60 18 20 -153.70 3 31 210.40 20 46 -322.30
32 3 58.680 23 10 242.80 19 20 205.27 4 31 4975.0 46 46 0.0000
33 3 -154.20 32 10 245.90 20 20 0.0000 5 31 -318.90 1 47 553.30
34 3 -101.12 34 10 -55.87 21 20 519.10 6 31 -119.20 2 47 268.10
35 3 -2.5040 36 10 354.00 22 20 543.30 7 31 12.720 3 47 333.30
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1 5 986.50 37 12 134.50 21 22 108.30 2 34 31.140 24 56 127.16
2 5 524.10 39 12 -116.70 22 22 0.0000 3 34 154.26 25 56 8.48
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10 5 529.00 7 13 540.50 35 22 -215.00 19 34 -203.00 53 5 244.67
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12 5 139.40 9 13 -103.60 39 22 397.24 34 34 0.0000 53 7 833.21
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28 5 609.80 25 13 -25.150 18 23 -114.70 22 35 215.00 6 53 98.2
29 5 461.60 26 13 -94.490 19 23 -15.620 23 35 363.70 7 53 -144.77
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1 6 697.20 6 14 359.30 6 24 -44.760 36 36 0.0000 54 28 434.32
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39 38 50.06
40 38 185.6