xlunifac1_2.xls

138
XLUNIFAC version 1.2 is a program to calculate activity coefficients of liquids using the UNIFAC model Copyright (C) 2000 Preben Randhol and Hilde K Engelien This program is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 2 of the License, or (at your option) any later version. This program is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. see the GNU General Public License for more details. You should have received a copy of the GNU General Public License along with this program; if not, write to the Free Software Foundation, Inc., 675 Mass Ave, Cambridge, MA 02139, USA. To contact Preben Randhol write an e-mail to [email protected] 

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XLUNIFAC version 1.2

is a program to calculate activity coefficientsof liquids using the UNIFAC model

Copyright (C) 2000 Preben Randhol and Hilde K Engelien

This program is free software; you can redistribute it and/or modify

it under the terms of the GNU General Public License as published by

the Free Software Foundation; either version 2 of the License, or 

(at your option) any later version.

This program is distributed in the hope that it will be useful,

but WITHOUT ANY WARRANTY; without even the implied warranty of 

MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.

see the GNU General Public License for more details.

You should have received a copy of the GNU General Public License

along with this program; if not, write to the Free Software

Foundation, Inc., 675 Mass Ave, Cambridge, MA 02139, USA.

To contact Preben Randhol write an e-mail to [email protected] 

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Welcome to XLUNIFAC version 1.2.

Here is a short introduction to the use of this program. Please refer to thedocumentation for more information about the use of this program and the

UNIFAC model used in this program

Navigation

This workbook is divided into several worksheets. In order to jump to a

specific worksheet just press on the tab on the bottom of the window with the

name of the worksheet you seek. For instance if you want to look at the

combinatorial calculations just press the tab named "Calc Combinatorial Part".

If you do not see the tab you are looking for you can scroll the row of tabs by

pressing the arrows left of all the tabs, until the tab appears.

Calculation

To calculate activity coefficients you must first input the components, their 

mole fractions and the temperature. To do this you have to go to the

worksheet named "Calculation".

 A mixture can contain up to 15 components. To specify a component you press the

button with the arrow and choose the component from the list. Note that the

component needs to have been pre-defined in the "Define Component" worksheet.

You can also click in the field to the left of the button and start typing the

name of the component until it appears in that field.

Now you can specify the mole fractions of the components. It is possible to

input up to 5 different mixtures of the components chosen. These will be

calculated simultaneously. If you for a component choose a mole fraction equal

to zero, it will cancel out in the calculations and the activity coefficient

will not be calculated for that component. So if you want to calculate one

mixture with and one without a component you can set the component's mole

fraction in the one mixture to zero and the desired mole fraction in the other 

mixture and then calculate the results.

 After entering the mole fractions you must also enter the temperature, in

Kelvin, for the calculation.

Now you simply press the key marked F9 on your keyboard to calculate

the activity coefficients and the results appear at the bottom of the

Calculation worksheet. Note that if you have just selected a component you

need to press with the mouse somewhere else in the worksheet before pressing F9.

If you want to look at the intermediate calculations such as the combinatorial

and residual part of the activi ty coefficient, simply click on the appropriate

tab. For example if you want to look at the the residual part you click on the

tab marked "Calc Residual Part".

To understand the tables in the "Calc Residual Part (Pure)" worksheet you will

have to compare the subgroup table with the other tables to find out which

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subgroup the variables are calculated. This does not apply for the residual

part of the activity coefficient.

Defining new components

To add a new component you need to press the tab marked "Define Component".

In this worksheet you will find a long table where components are defined.

To add a new component you need to go to the first empty name field. Please

note that you must not skip a name field when adding a new component. The

reason is that the program only reads this table until it reaches an empty name

field due to speed considerations of the calculations.

To define the component you enter its name in the yellow name field and then in

the row below you start defining the subgroups of the component. A list of the

names of the various subgroups can be found in the worksheet labelled "Table

Rk, Qk". You type in the name of the first subgroup and then in the cell

directly below you specify how many of that subgroup is present in the

component. Then you give the next subgroup and so on. So if you wanted to

define the component benzene you would have to write subgroup name ACH and that

there are 6 of that subgroup in benzene. Note that the subgroups must bedefined from the left to the right without skipping any cells as the program

only reads until it encounters an empty cell.

Now it is very important that you SAVE the workbook. After that you must press

the key F9 on your keyboard so that the program can read your new component.

This may take some time for the program to finish.

Adding a new subgroup

To add a new subgroup go to the worksheet "Table Rk,Qk''. Here you will find

a rather long table of main groups, subgroups and Rk and Qk parameters.

Go to the right cell in the table where the new subgroup should go and enter its name as well as its Rk and Qk parameters and the number of the main group

it is part of. Note that if the main group is also new, you will have to add

the interaction parameters as well as explained in the next subsection.

Be sure to put the subgroup in the right place according to the l iterature

tables. It is not arbitrary where you place it.

Now SAVE the workbook and then press the key F9 on your keyboard.

Adding interaction parameters

You add the interaction parameters in the worksheet "Table Interaction". In

this worksheet there is a large table of interaction parameters. Remember that

amn =/= anm so you will have to enter both interaction parameters for main

group m and n.

The name of the main group can be defined right before the first column in the

m'th row. The name will then be automatically copied in the m'th column in the row

 just over the first row.

Now SAVE the workbook and then press the key F9 on your keyboard.

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TemperatureNo Do not choose "[n/a]" 1 2 3 4 5

1 1 1.0000E-02 5.0000E-01 T = 307 K

2 9 9.9000E-01 5.0000E-01

3 -1

4 -15 -1

6 -1

7 -1

8 -1

9 -1

10 -1

11 -1

12 -1

13 -1

14 -1

15 -1

16 -1

17 -1

18 -1

19 -120 -1

21 -1

22 -1

23 -1

24 -1

25 -1

26 -1

27 -1

28 -1

29 -1S( x _ i ) 1.0000E+00 1.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00

No 1 2 3 4 5 1 2 3 4

1 9.6918E-01 4.0202E-01 2.6358E+00 1.4948E+00

Components Molefractions (of up to five different mixtures)

Activity coefficient, giln gi

NB: After selecting a component, you

click in this sheet before pressing F

to calculate the res

Press the F9 ke

water 

ethanol

[empty]

[empty][empty]

[empty]

[empty]

[empty]

[empty]

[empty]

[empty]

[empty]

[empty]

[empty]

[empty][empty]

[empty]

[empty]

[empty]

[empty][empty]

[empty]

[empty]

[empty]

[empty]

[empty]

[empty][empty]

[empty]

[empty][empty]

[empty]

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2 1.1516E-04 1.9056E-01 1.0001E+00 1.2099E+00

3

4

5

6

7

89

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2324

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Main group Subgroup Group name Rk Qk

1 1 CH3 0.9011 0.848

1 2 CH2 0.6744 0.5401 3 CH 0.4469 0.228

1 4 C 0.2195 0.000

2 5 CH2=CH 1.3454 1.176

2 6 CH=CH 1.1167 0.867

2 7 CH2=C 1.1173 0.988

2 8 CH=C 0.8886 0.676

2 9 C=C 0.6605 0.485

3 10 ACH 0.5313 0.400

3 11 AC 0.3652 0.120

4 12 ACCH3 1.2663 0.968

4 13 ACCH2 1.0396 0.660

4 14 ACCH 0.8121 0.348

5 15 OH 1.0000 1.2006 16 CH3OH 1.4311 1.432

7 17 H2O 0.9200 1.400

8 18 ACOH 0.8952 0.680

9 19 CH3CO 1.6724 1.488

9 20 CH2CO 1.4457 1.180

10 21 CHO 0.9980 0.948

11 22 CH3COO 1.9031 1.728

11 23 CH2COO 1.6764 1.420

12 24 HCOO 1.2420 1.188

13 25 CH3O 1.1450 1.088

13 26 CH2O 0.9183 0.780

13 27 CH-O 0.6908 0.468

13 28 FCH2O 0.9183 1.100

14 29 CH3NH2 1.5959 1.54414 30 CH2NH2 1.3692 1.236

14 31 CHNH2 1.1417 0.924

15 32 CH3NH 1.4337 1.244

15 33 CH2NH 1.2070 0.936

15 34 CHNH 0.9795 0.624

16 35 CH3N 1.1865 0.940

16 36 CH2N 0.9597 0.632

17 37 ACNH2 1.0600 0.816

18 38 C5H5N 2.9993 2.113

18 39 C5H4N 2.8332 1.833

18 40 C5H3N 2.6670 1.553

19 41 CH3CN 1.8701 1.724

19 42 CH2CN 1.6434 1.41620 43 COOH 1.3013 1.224

20 44 HCOOH 1.5280 1.532

21 45 CH2Cl 1.4654 1.264

21 46 CHCl 1.2380 0.952

21 47 CCl 1.0060 0.724

22 48 CH2Cl2 2.2564 1.988

22 49 CHCl2 2.0606 1.684

22 50 CCl2 1.8016 1.448

Table over R and Q values for subgroups

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23 51 CHCl3 2.8700 2.410

23 52 CCl3 2.6401 2.184

24 53 CCl4 3.3900 2.910

25 54 ACCl 1.1562 0.844

26 55 CH3NO2 2.0086 1.868

26 56 CH2NO2 1.7818 1.560

26 57 CHNO2 1.5544 1.248

27 58 ACNO2 1.4199 1.104

28 59 CS2 2.0570 1.650

29 60 CH3SH 1.8770 1.676

29 61 CH2SH 1.6510 1.368

30 62 FURFURAL 3.1680 2.481

31 63 (CH2OH)2 2.4088 2.248

32 64 I 1.2640 0.992

33 65 BR 0.9492 0.832

34 66 CH-trip-C 1.2920 1.088

34 67 C-trip-C 1.0613 0.784

35 68 Me2SO 2.8266 2.472

36 69 ACRY 2.3144 2.052

37 70 Cl(C=C) 0.7910 0.724

38 71 ACF 0.6948 0.52439 72 DMF-1 3.0856 2.736

39 73 DMF-2 2.6322 2.120

40 74 CF3 1.0406 1.380

40 75 CF2 1.0105 0.920

40 76 CF 0.6150 0.460

41 77 COO 1.3800 1.200

42 78 SiH3 1.6035 1.263

42 79 SiH2 1.4443 1.006

42 80 SiH 1.2853 0.749

42 81 Si 1.0470 0.410

43 82 SiH2O 1.4838 1.062

43 83 SiHO 1.3030 0.764

43 84 SiO 1.0440 0.466

44 85 NMP 3.9810 3.200

45 86 tert-N 0.2854 0.092

46 87 AMIDE 1.4660 1.336

47 88 CON(Me)2 2.8590 2.428

47 89 CONMeCH2 2.6320 2.120

47 90 CON(CH2)2 2.4050 1.812

91

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Name: r: 0.92

Sub group: H2O

No of subgr: 1

17 -1 -1 -1 -1

Name: r: 3.1878

Sub group: ACH

No of subgr: 6

10 -1 -1 -1 -1

Name: r: 2.5755

Sub group: CH3 CH2 OH

No of subgr: 1 1 1

1 2 15 -1 -1

Name: r: 3.8254

Sub group: CH3 CH2No of subgr: 2 3

1 2 -1 -1 -1

Name: r: 2.5735

Sub group: CH3 CH3CO

No of subgr: 1 1

1 19 -1 -1 -1

Name: r: 1.4311

Sub group: CH3OH

No of subgr: 1

16 -1 -1 -1 -1

Name: r: 3.2491

Sub group: CH3 CH OH

No of subgr: 2 1 11 3 15 -1 -1

Name: r: 0

Sub group:

No of subgr:

-1 -1 -1 -1 -1

Name: r: 0

Sub group:

No of subgr:

-1 -1 -1 -1 -1

Name: r: 0

Sub group:

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-1 -1 -1 -1 -1

Name: r: 0

Sub group:

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-1 -1 -1 -1 -1

Name: r: 0

Sub group:

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Name: r: 0

Component Table

2-propanol

water 

benzene

ethanol

n-Pentane

acetone

methanol

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Sub group:

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n 1 2 3 4 5

m Name CH2 C=C ACH ACCH2 OH

1 CH2 0 86.02 61.13 76.5 986.5

2 C=C -35.36 0 38.81 74.15 524.13  ACH -11.12 3.446 0 167 636.1

4  ACCH2 -69.7 -113.6 -146.8 0 803.2

5 OH 156.4 457 89.6 25.82 0

6 CH3OH 16.51 -12.52 -50 -44.5 249.1

7 H2O 300 496.1 362.3 377.6 -229.1

8  ACOH 275.8 217.5 25.34 244.2 -451.6

9 CH2CO 26.76 42.92 140.1 365.8 164.5

10 CHO 505.7 56.3 23.39 106 -404.8

11 CCOO 114.8 132.1 85.84 -170 245.4

12 HCOO 90.49 -62.55 1967 2347 191.2

13 CH2O 83.36 26.51 52.13 65.69 237.7

14 CNH2 -30.48 1.163 -44.85 0 -164

15 CNH2 65.33 -28.7 -22.31 223 -150

16 (C)3N -83.98 -25.38 -223.9 109.9 28.6

17  ACNH2 1139 2000 247.5 762.8 -17.4

18 PYRIDINE -101.6 0 31.87 49.8 -132.3

19 CCN 24.82 -40.62 -22.97 -138.4 -185.4

20 COOH 315.3 1264 62.32 268.2 -151

21 CCl 91.46 97.51 4.68 122.9 562.2

22 CCl2 34.01 18.25 121.3 140.8 747.7

23 CCl3 36.7 51.06 288.5 33.61 742.1

24 CCl4 -78.45 160.9 -4.7 134.7 856.3

25  ACCl -141.3 -158.8 -237.7 375.5 246.9

26 CNO2 -32.69 -1.996 10.38 -97.05 261.6

27  ACNO2 5541 0 1824 -127.8 561.6

28 CS2 -52.65 16.62 21.5 40.68 823.5

29 CH3SH -7.481 0 28.41 0 461.630 FURFURAL -25.31 0 157.3 404.3 521.6

31 (CH2OH)2 140 0 221.4 150.6 267.6

32 I 128 0 58.68 0 501.3

33 Br -31.52 0 155.6 291.1 721.9

34 C-trip-C -72.88 41.38 0 0 0

35 Me2SO 50.49 422.4 -2.504 -143.2 -25.87

36  ACRY -165.9 0 0 0 0

37 ClCC 47.41 124.2 395.8 0 738.9

38  ACF -5.132 0 -237.2 -157.3 649.7

39 DMF -31.95 249 -133.9 -240.2 64.16

40 CF2 147.3 0 0 0 0

41 COO 529 1397 317.6 615.8 88.63

42 -34.36 0 787.9 191.6 1913

43 110.2 0 234.4 221.8 84.8544 NMP 13.89 0 -23.88 6.214 796.9

45 TERT-N 272 0 -288 -1020 0

46  AMIDE 8960 -963 -63.1 -196 0

47 -11.1 0 -11.8 -36.6 0

48 0 0 0 0 0

49 0 0 0 0 0

50 0 0 0 0 0

Table over main group interaction

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51 0 0 0 0 0

52 0 0 0 0 0

53 0 0 0 0 0

54 0 0 0 0 0

55 0 0 0 0 0

56 0 0 0 0 0

57 0 0 0 0 0

58 0 0 0 0 0

59 0 0 0 0 0

60 0 0 0 0 0

61 0 0 0 0 0

62 0 0 0 0 0

63 0 0 0 0 0

64 0 0 0 0 0

65 0 0 0 0 0

66 0 0 0 0 0

67 0 0 0 0 0

68 0 0 0 0 0

69 0 0 0 0 0

70 0 0 0 0 0

71 0 0 0 0 072 0 0 0 0 0

73 0 0 0 0 0

74 0 0 0 0 0

75 0 0 0 0 0

76 0 0 0 0 0

77 0 0 0 0 0

78 0 0 0 0 0

79 0 0 0 0 0

80 0 0 0 0 0

81 0 0 0 0 0

82 0 0 0 0 0

83 0 0 0 0 0

84 0 0 0 0 0

85 0 0 0 0 0

86 0 0 0 0 0

87 0 0 0 0 0

88 0 0 0 0 0

89 0 0 0 0 0

90 0 0 0 0 0

91 0 0 0 0 0

92 0 0 0 0 0

93 0 0 0 0 0

94 0 0 0 0 0

95 0 0 0 0 0

96 0 0 0 0 0

97 0 0 0 0 0

98 0 0 0 0 099 0 0 0 0 0

100 0 0 0 0 0

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6 7 8 9 10 11 12

CH3OH H2O ACOH CH2CO CHO CCOO HCOO

697.2 1318 1333 476.4 677 232.1 741.4

787.6 270.6 526.1 182.6 448.8 37.85 449.1637.3 903.8 1329 25.77 347.3 5.994 -92.55

603.2 5695 884.9 -52.1 586.6 5688 115.2

-137.1 353.5 -259.7 84 441.8 101.1 193.1

0 -181 -101.7 23.39 306.4 -10.72 193.4

289.6 0 324.5 -195.4 -257.3 72.87 0

-265.2 -601.8 0 -356.1 0 -449.4 0

108.7 472.5 -133.1 0 -37.36 -213.7 -38.47

-340.2 232.7 0 128 0 -110.3 11.31

249.6 200.8 -36.72 372.2 185.1 0 372.9

155.7 0 0 70.42 35.35 -261.1 0

238.4 -314.7 0 191.1 -7.838 461.3 0

-481.7 -330.4 0 0 0 0 0

-500.4 -448.2 0 0 0 136 0

-406.8 -598.8 0 225.3 0 0 0

-118.1 -367.8 -253.1 -450.3 0 -294.8 0

-378.2 -332.9 -341.6 -51.54 0 0 0

157.8 242.8 0 -287.5 0 -266.6 0

1020 -66.17 0 -297.8 0 -256.3 312.5

529 698.2 0 286.3 -47.51 35.38 0

669.9 708.7 0 423.2 0 -132.9 0

649.1 826.7 0 552.1 242.8 176.5 488.9

860.1 1201 10000 372 0 129.5 403.1

661.6 920.4 0 128.1 0 -246.3 0

252.6 417.9 0 -142.6 0 129.3 0

0 360.7 0 0 0 0 0

914.2 1081 0 303.7 0 243.8 0

382.8 0 0 160.6 0 0 239.80 23.48 0 317.5 0 -146.3 0

0 -142.1 838.4 0 0 152 0

0 0 0 138 0 21.92 0

494.7 0 0 -142.6 0 24.37 0

0 0 0 443.6 0 0 0

695 -240 0 110.4 0 41.57 0

0 386.6 0 0 0 175.5 0

528 0 0 -40.9 0 16.99 0

645.9 0 0 0 0 0 0

172.2 -287.1 0 97.04 0 0 0

0 0 0 0 0 0 0

171 284.4 -167.3 123.4 0 -234.9 65.37

0 0 0 992.4 0 0 0

0 0 0 0 0 0 00 832.2 0 0 0 0 0

-668 -1080 0 -435 -686 -463 0

0 0 0 -444 -167 0 0

0 0 0 1530 -60.8 -466 0

0 0 0 0 0 0 0

0 0 0 0 0 0 0

0 0 0 0 0 0 0

parameters amn

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0 0 0 0 0 0 0

0 0 0 0 0 0 0

0 0 0 0 0 0 0

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0 0 0 0 0 0 0

0 0 0 0 0 0 0

0 0 0 0 0 0 0

0 0 0 0 0 0 0

0 0 0 0 0 0 0

0 0 0 0 0 0 0

0 0 0 0 0 0 0

0 0 0 0 0 0 0

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0 0 0 0 0 0 0

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13 14 15 16 17 18 19

CH2O CNH2 CNH2 (C)3N ACNH2 PYRIDINE CCN

251.5 391.5 225.7 206.6 920.7 287.7 597

214.5 240.9 163.9 61.11 749.3 0 336.932.14 161.7 122.8 90.49 648.2 -4.449 212.5

213.1 0 -49.29 23.5 664.2 52.8 6096

28.06 83.02 42.7 -323 -52.39 170 6.712

-128.6 359.3 266 53.9 489.7 580.5 36.23

540.5 48.89 168 304 -52.29 459 112.6

0 0 0 0 119.9 -305.5 0

-103.6 0 0 -169 6201 165.1 481.7

304.1 0 0 0 0 0 0

-235.7 0 -73.5 0 475.5 0 494.6

0 0 0 0 0 0 0

0 0 141.7 0 0 0 -18.51

0 0 63.72 -41.11 -200.7 0 0

-49.3 108.8 0 -189.2 0 0 0

0 38.89 865.9 0 0 0 0

0 -15.07 0 0 0 0 -281.6

0 0 0 0 0 0 -169.7

38.81 0 0 0 777.4 134.3 0

-338.5 0 0 0 0 -313.5 0

225.4 0 0 0 429.7 0 -62.41

-197.7 0 0 -141.4 0 587.3 258.6

-20.93 0 0 -293.7 0 18.98 74.04

113.9 261.1 91.13 -126 898.2 309.2 492

95.5 203.5 -108.4 1088 530.5 0 356.9

-94.49 0 0 0 0 0 0.283

0 0 0 0 134.9 0 0

112.4 0 0 0 0 0 335.7

63.71 106.7 0 0 0 0 125.70 0 0 0 0 0 0

9.207 0 0 0 255.4 0 0

476.6 0 0 0 0 0 0

736.4 0 0 0 0 0 0

0 0 0 0 0 0 329.1

-122.1 0 0 -257.2 0 0 0

0 0 0 0 0 0 -42.31

-217.9 0 0 0 0 0 304

167.1 0 0 116.5 0 0 0

-158.2 0 0 0 343.7 0 0

0 0 0 0 0 0 0

-247.8 0 284.5 0 -22.1 0 -61.6

0 0 0 0 0 0 0

0 0 0 0 0 0 00 0 0 0 0 0 0

2880 0 0 0 0 0 0

-74.7 0 0 0 0 0 0

0 0 0 0 0 0 0

0 0 0 0 0 0 0

0 0 0 0 0 0 0

0 0 0 0 0 0 0

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0 0 0 0 0 0 0

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0 0 0 0 0 0 0

0 0 0 0 0 0 0

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0 0 0 0 0 0 0

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20 21 22 23 24 25 26

COOH CCl CCl2 CCl3 CCl4 ACCl CNO2

663.5 35.93 53.76 24.9 104.3 321.5 661.5

318.9 204.6 5.892 -13.99 -109.7 393.1 357.5537.4 -18.81 -144.4 -231.9 3 538.2 168

603.8 -114.1 -111 -12.14 -141.3 -126.9 3629

199 75.62 -112.1 -98.12 143.1 287.8 256.5

-289.5 -38.32 -102.5 -139.4 -67.8 17.12 75.14

-14.09 325.4 370.4 353.7 497.5 678.2 220.6

0 0 0 0 1827 0 0

669.4 -191.7 -284 -354.6 -39.2 174.5 137.5

0 751.9 0 -483.7 0 0 0

660.2 -34.74 108.9 -209.7 54.47 629 -81.13

-356.3 0 0 -287.2 36.84 0 0

664.6 301.1 137.8 -154.3 47.67 66.15 95.18

0 0 0 0 -99.81 68.81 0

0 0 0 0 71.23 4350 0

0 0 -73.85 -352.9 -8.283 -86.36 0

0 287 0 0 882 287.9 0

-153.7 0 -351.6 -114.7 -165.1 0 0

0 88.75 -152.7 -15.62 -54.86 52.31 -0.515

0 44.42 120.2 76.75 212.7 0 0

326.4 0 108.3 249.2 62.42 464.4 32.73

339.6 -84.53 0 0 56.33 0 0

1346 -157.1 0 0 -30.1 0 0

689 11.8 17.97 51.9 0 475.8 490.9

0 -314.9 0 0 -255.4 0 -154.5

0 113 0 0 -34.68 794.4 0

0 0 0 0 514.6 0 -85.12

0 -73.09 0 -26.06 -60.71 0 0

0 -27.94 0 0 0 0 00 0 0 48.48 -133.1 0 0

0 0 0 0 0 0 481.3

0 0 -40.82 21.76 48.49 0 64.28

5256 1169 0 0 225.8 224 125.3

0 0 0 0 0 0 174.4

150 0 -215 -343.6 -58.43 0 0

0 0 0 0 -85.15 0 0

898.2 428.5 0 -149.8 -134.2 0 379.4

0 0 0 0 -124.6 0 0

-106.6 0 0 0 -186.7 0 0

0 0 0 0 0 0 0

1179 182.2 305.4 -193 335.7 1107 -124.7

0 0 0 0 0 0 0

2450 0 0 0 70.81 0 02496 0 0 0 0 0 0

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27 28 29 30 31 32 33

 ACNO2 CS2 CH3SH FURFURAL (CH2OH)2 I Br 

543 153.6 184.4 354.5 3025 335.8 479.5

0 76.3 0 0 0 0 0194.9 52.07 -10.43 -64.69 210.4 113.3 -13.59

4448 -9.451 0 -20.36 4975 0 -171.3

157.1 477 147.5 -120.5 -318.9 313.5 133.4

0 -31.09 37.84 0 0 0 106.3

399.5 887.1 0 188 13.53 0 0

0 0 0 0 -687.1 0 0

0 216.1 -46.28 -163.7 0 53.59 245.2

0 0 0 0 0 0 0

0 183 0 202.3 -101.7 148.3 18.88

0 0 4.339 0 0 0 0

0 140.9 -8.538 0 -20.11 -149.5 -202.3

0 0 -70.14 0 0 0 0

0 0 0 0 0 0 0

0 0 0 0 0 0 0

-139.3 0 0 0 -136.9 0 0

0 0 0 0 0 0 0

0 230.9 21.37 0 0 0 0

0 0 0 0 0 0 -95

0 450.1 59.02 0 0 0 -125.9

0 0 0 0 0 177.6 0

0 116.6 0 -64.38 0 86.4 0

534.7 132.2 0 546.7 0 247.8 41.94

0 0 0 0 0 0 -60.7

533.2 0 0 0 139.8 304.3 10.17

0 0 0 0 0 0 0

0 0 0 0 0 0 0

0 0 0 0 0 0 00 0 0 0 0 0 0

0 0 0 0 0 0 0

0 0 0 0 0 0 0

0 0 0 0 0 0 0

0 0 0 0 0 0 0

0 0 85.7 0 535.8 0 0

0 0 0 0 0 0 0

0 167.9 0 0 0 0 0

0 0 0 0 0 0 0

0 0 -71 0 -191.7 0 0

0 0 0 0 0 0 0

0 885.5 0 0 0 288.1 0

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34 35 36 37 38 39 40

C-trip-C Me2SO ACRY ClCC ACF DMF CF2

298.9 526.5 689 -4.189 125.8 485.3 -2.859

31.14 -137.4 0 -66.46 0 -70.45 00 169.9 0 -259.1 389.3 245.6 0

0 4284 0 0 101.4 5629 0

0 -202.1 0 225.8 44.78 -143.9 0

0 -399.3 0 33.47 -48.25 -172.4 0

0 -139 160.8 0 0 319 0

0 0 0 0 0 0 0

-246.6 -44.58 0 -34.57 0 -61.7 0

0 0 0 0 0 0 0

0 52.08 -28.61 -83.3 0 0 0

0 0 0 0 0 0 0

0 172.1 0 240.2 -273.9 254.8 0

0 0 0 0 0 0 0

0 0 0 0 0 0 0

0 243.1 0 0 -196.3 0 0

0 0 0 0 0 -334.4 0

0 0 0 0 0 0 0

-203 0 81.57 3.509 0 0 0

0 -561.2 0 -11.16 0 -246.5 0

0 0 0 -245.4 0 0 0

0 215 0 0 0 0 0

0 363.7 0 111.2 0 0 0

0 337.7 369.5 187.1 215.2 498.6 0

0 0 0 0 0 0 0

-27.7 0 0 10.76 0 0 0

0 0 0 0 0 0 0

0 0 0 -47.37 0 0 0

0 31.66 0 0 0 78.92 00 0 0 0 0 0 0

0 -417.2 0 0 0 302.2 0

0 0 0 0 0 0 0

0 0 0 0 0 0 0

0 0 0 0 0 -119.8 0

0 0 0 0 0 -97.71 0

0 0 0 0 0 0 0

0 0 0 0 0 0 0

0 0 0 0 0 0 -117.2

6.699 136.6 0 0 0 0 0

0 0 0 0 185.6 0 0

0 -29.34 -53.91 -198 0 0 0

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41 42 43 44 45 46 47

COO NMP TERT-N AMIDE

387.1 -450.4 252.7 220.3 383 -1380 729

48.33 0 0 0 0 2340 0103.5 -432.3 238.9 30.04 109 75.9 784

69.26 683.3 355.5 46.38 1320 482 386

190.3 -817.7 202.7 -504.2 0 0 0

165.7 0 0 0 214 0 0

-197.5 0 0 -454.2 365 0 0

-494.2 0 0 0 0 0 0

-18.8 0 0 0 135 -1680 -58

0 0 0 0 -7.18 333 6810

560.2 0 0 0 -54.6 0 6960

-70.24 0 0 0 0 0 0

417 0 0 0 5780 131 0

0 0 0 0 0 0 0

-38.77 0 0 0 0 0 0

0 0 0 0 0 0 0

-89.42 0 0 0 0 0 0

0 0 0 0 0 0 0

120.3 0 0 0 0 0 0

-337 169.3 127.2 0 0 0 0

63.67 0 0 0 0 0 0

-96.87 0 0 0 0 0 0

255.8 0 0 0 0 0 0

256.5 639.3 0 0 0 0 0

-145.1 0 0 0 0 0 0

248.4 0 0 0 0 0 0

0 0 0 0 0 0 0

469.8 0 0 0 0 0 0

0 0 0 0 0 0 00 0 0 0 0 0 0

0 0 0 0 0 0 0

68.55 0 0 0 0 0 0

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0 0 0 0 0 0 0

153.7 0 0 0 0 0 0

423.4 0 0 0 0 0 0

730.8 0 0 0 0 0 0

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i r i qi li z1 0.92 1.4 -2.32 10

2 2.5755 2.588 -1.638

3 0 0 0 S _j ( r  jx j )4 0 0 0 1 2 3 4 5

5 0 0 0 2.558945 1.74775 0 0 0

6 0 0 0

7 0 0 0

8 0 0 0 S _j ( q jx j )9 0 0 0 1 2 3 4 5

10 0 0 0 2.57612 1.994 0 0 0

11 0 0 0

12 0 0 0

13 0 0 0 S _j ( l jx j )14 0 0 0 1 2 3 4 5

15 0 0 0 -1.64482 -1.979 0 0 0

16 0 0 0

17 0 0 0

18 0 0 0

19 0 0 020 0 0 0

21 0 0 0

22 0 0 0

23 0 0 0

24 0 0 0

25 0 0 0

26 0 0 0

27 0 0 0

28 0 0 0

29 0 0 0

Calculations of the Combinatorial Part of the activity coefficients

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Q _i

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2 0.9945655 0.6489468 0 0 0

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22 0 0 0 0 0

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24 0 0 0 0 0

25 0 0 0 0 0

26 0 0 0 0 0

27 0 0 0 0 0

28 0 0 0 0 0

29 0 0 0 0 0

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F _i

i 1 2 3 4 5

1 0.0035952 0.2631955 0 0 0

2 0.9964048 0.7368045 0 0 0

3 0 0 0 0 0

4 0 0 0 0 0

5 0 0 0 0 0

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  Y m,k ) S _m [ q _m * Y _k,m / S _n ( q _n * Y _n,m ) ] ln ( G _k )4 5 1 2 3 4 5 1 2 3

0 0 0.694487 0.548679 0 0 0 0.435122 0.733847 0

0 0 0.694487 0.548679 0 0 0 0.277083 0.467308 0

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Subgroup of componenk \ i 1 2 3 4 5 6 7 8 9

1 17 1 -1 -1 -1 -1 -1 -1 -1

2 -1 2 -1 -1 -1 -1 -1 -1 -1

3 -1 15 -1 -1 -1 -1 -1 -1 -1

4 -1 -1 -1 -1 -1 -1 -1 -1 -1

5 -1 -1 -1 -1 -1 -1 -1 -1 -1

6 -1 -1 -1 -1 -1 -1 -1 -1 -1

7 -1 -1 -1 -1 -1 -1 -1 -1 -1

8 -1 -1 -1 -1 -1 -1 -1 -1 -1

9 -1 -1 -1 -1 -1 -1 -1 -1 -1

10 -1 -1 -1 -1 -1 -1 -1 -1 -1

11 -1 -1 -1 -1 -1 -1 -1 -1 -1

vk of component i

k \ i 1 2 3 4 5 6 7 8 9

1 1 1 0 0 0 0 0 0 0

2 0 1 0 0 0 0 0 0 0

3 0 1 0 0 0 0 0 0 0

4 0 0 0 0 0 0 0 0 0

5 0 0 0 0 0 0 0 0 0

6 0 0 0 0 0 0 0 0 0

7 0 0 0 0 0 0 0 0 0

8 0 0 0 0 0 0 0 0 0

9 0 0 0 0 0 0 0 0 0

10 0 0 0 0 0 0 0 0 0

11 0 0 0 0 0 0 0 0 0

Svk 1 3 0 0 0 0 0 0 0

X _m (i)m \ i 1 2 3 4 5 6 7 8 9

1 1 0.333333 0 0 0 0 0 0 0

2 0 0.333333 0 0 0 0 0 0 0

3 0 0.333333 0 0 0 0 0 0 0

4 0 0 0 0 0 0 0 0 0

5 0 0 0 0 0 0 0 0 0

6 0 0 0 0 0 0 0 0 0

7 0 0 0 0 0 0 0 0 0

8 0 0 0 0 0 0 0 0 0

9 0 0 0 0 0 0 0 0 0

10 0 0 0 0 0 0 0 0 0

11 0 0 0 0 0 0 0 0 0

Q _m*X _m

m \ i 1 2 3 4 5 6 7 8 9

1 1.4 0.282667 0 0 0 0 0 0 0

2 0 0.18 0 0 0 0 0 0 0

3 0 0.4 0 0 0 0 0 0 0

Calculations of the Residual Part (Pure) of t

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4 0 0 0 0 0 0 0 0 0

5 0 0 0 0 0 0 0 0 0

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7 0 0 0 0 0 0 0 0 0

8 0 0 0 0 0 0 0 0 0

9 0 0 0 0 0 0 0 0 0

10 0 0 0 0 0 0 0 0 0

11 0 0 0 0 0 0 0 0 0

Svk 1.4 0.862667 0 0 0 0 0 0 0

q _ m (i)m \ i 1 2 3 4 5 6 7 8 9

1 1 0.327666 0 0 0 0 0 0 0

2 0 0.208655 0 0 0 0 0 0 0

3 0 0.463679 0 0 0 0 0 0 0

4 0 0 0 0 0 0 0 0 0

5 0 0 0 0 0 0 0 0 0

6 0 0 0 0 0 0 0 0 0

7 0 0 0 0 0 0 0 0 0

8 0 0 0 0 0 0 0 0 09 0 0 0 0 0 0 0 0 0

10 0 0 0 0 0 0 0 0 0

11 0 0 0 0 0 0 0 0 0

S _m( q _m * Y _m,k )m \ i 1 2 3 4 5 6 7 8 9

1 1 0.814913 0 0 0 0 0 0 0

2 0 0.814913 0 0 0 0 0 0 0

3 0 0.48525 0 0 0 0 0 0 0

4 0 0 0 0 0 0 0 0 0

5 0 0 0 0 0 0 0 0 0

6 0 0 0 0 0 0 0 0 07 0 0 0 0 0 0 0 0 0

8 0 0 0 0 0 0 0 0 0

9 0 0 0 0 0 0 0 0 0

10 0 0 0 0 0 0 0 0 0

11 0 0 0 0 0 0 0 0 0

S _m [ q _m * Y _k,m / S _n ( q _n * Y _   m \ i 1 2 3 4 5 6 7 8 9

1 1 0.696567 0 0 0 0 0 0 0

2 0 0.696567 0 0 0 0 0 0 0

3 0 1.350971 0 0 0 0 0 0 0

4 0 0 0 0 0 0 0 0 05 0 0 0 0 0 0 0 0 0

6 0 0 0 0 0 0 0 0 0

7 0 0 0 0 0 0 0 0 0

8 0 0 0 0 0 0 0 0 0

9 0 0 0 0 0 0 0 0 0

10 0 0 0 0 0 0 0 0 0

11 0 0 0 0 0 0 0 0 0

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ln ( G _k (i) )k \ i 1 2 3 4 5 6 7 8 9

1 0 0.430875 0 0 0 0 0 0 0

2 0 0.274378 0 0 0 0 0 0 0

3 0 0.446544 0 0 0 0 0 0 0

4 0 0 0 0 0 0 0 0 05 0 0 0 0 0 0 0 0 0

6 0 0 0 0 0 0 0 0 0

7 0 0 0 0 0 0 0 0 0

8 0 0 0 0 0 0 0 0 0

9 0 0 0 0 0 0 0 0 0

10 0 0 0 0 0 0 0 0 0

11 0 0 0 0 0 0 0 0 0

ln( g _i residual)i 1 2 3 4 5

1 0.828656 0.305719 -1 -1 -12 0.000114 0.167585 -1 -1 -1

3 0 0 -1 -1 -1

4 0 0 -1 -1 -1

5 0 0 -1 -1 -1

6 0 0 -1 -1 -1

7 0 0 -1 -1 -1

8 0 0 -1 -1 -1

9 0 0 -1 -1 -1

10 0 0 -1 -1 -1

11 0 0 -1 -1 -1

12 0 0 -1 -1 -1

13 0 0 -1 -1 -1

14 0 0 -1 -1 -1

15 0 0 -1 -1 -116 0 0 -1 -1 -1

17 0 0 -1 -1 -1

18 0 0 -1 -1 -1

19 0 0 -1 -1 -1

20 0 0 -1 -1 -1

21 0 0 -1 -1 -1

22 0 0 -1 -1 -1

23 0 0 -1 -1 -1

24 0 0 -1 -1 -1

25 0 0 -1 -1 -1

26 0 0 -1 -1 -1

27 0 0 -1 -1 -1

28 0 0 -1 -1 -129 0 0 -1 -1 -1

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t i

10 11 12 13 14 15 16 17 18

-1 -1 -1 -1 -1 -1 -1 -1 -1

-1 -1 -1 -1 -1 -1 -1 -1 -1

-1 -1 -1 -1 -1 -1 -1 -1 -1

-1 -1 -1 -1 -1 -1 -1 -1 -1

-1 -1 -1 -1 -1 -1 -1 -1 -1

-1 -1 -1 -1 -1 -1 -1 -1 -1

-1 -1 -1 -1 -1 -1 -1 -1 -1

-1 -1 -1 -1 -1 -1 -1 -1 -1

-1 -1 -1 -1 -1 -1 -1 -1 -1

-1 -1 -1 -1 -1 -1 -1 -1 -1

-1 -1 -1 -1 -1 -1 -1 -1 -1

10 11 12 13 14 15 16 17 18

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

10 11 12 13 14 15 16 17 18

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

10 11 12 13 14 15 16 17 18

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

e activity coefficients

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0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

10 11 12 13 14 15 16 17 18

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

10 11 12 13 14 15 16 17 18

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

  q   Y n,m ) ]10 11 12 13 14 15 16 17 18

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

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10 11 12 13 14 15 16 17 18

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

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19 20 21 22 23 24 25

-1 -1 -1 -1 -1 -1 -1

-1 -1 -1 -1 -1 -1 -1

-1 -1 -1 -1 -1 -1 -1

-1 -1 -1 -1 -1 -1 -1

-1 -1 -1 -1 -1 -1 -1

-1 -1 -1 -1 -1 -1 -1

-1 -1 -1 -1 -1 -1 -1

-1 -1 -1 -1 -1 -1 -1

-1 -1 -1 -1 -1 -1 -1

-1 -1 -1 -1 -1 -1 -1

-1 -1 -1 -1 -1 -1 -1

19 20 21 22 23 24 25

0 0 0 0 0 0 0

0 0 0 0 0 0 0

0 0 0 0 0 0 0

0 0 0 0 0 0 0

0 0 0 0 0 0 0

0 0 0 0 0 0 0

0 0 0 0 0 0 0

0 0 0 0 0 0 0

0 0 0 0 0 0 0

0 0 0 0 0 0 0

0 0 0 0 0 0 0

0 0 0 0 0 0 0

19 20 21 22 23 24 25

0 0 0 0 0 0 0

0 0 0 0 0 0 0

0 0 0 0 0 0 0

0 0 0 0 0 0 0

0 0 0 0 0 0 0

0 0 0 0 0 0 0

0 0 0 0 0 0 0

0 0 0 0 0 0 0

0 0 0 0 0 0 0

0 0 0 0 0 0 0

0 0 0 0 0 0 0

19 20 21 22 23 24 25

0 0 0 0 0 0 0

0 0 0 0 0 0 0

0 0 0 0 0 0 0

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0 0 0 0 0 0 0

0 0 0 0 0 0 0

0 0 0 0 0 0 0

0 0 0 0 0 0 0

0 0 0 0 0 0 0

0 0 0 0 0 0 0

0 0 0 0 0 0 0

0 0 0 0 0 0 0

0 0 0 0 0 0 0

19 20 21 22 23 24 25

0 0 0 0 0 0 0

0 0 0 0 0 0 0

0 0 0 0 0 0 0

0 0 0 0 0 0 0

0 0 0 0 0 0 0

0 0 0 0 0 0 0

0 0 0 0 0 0 0

0 0 0 0 0 0 00 0 0 0 0 0 0

0 0 0 0 0 0 0

0 0 0 0 0 0 0

19 20 21 22 23 24 25

0 0 0 0 0 0 0

0 0 0 0 0 0 0

0 0 0 0 0 0 0

0 0 0 0 0 0 0

0 0 0 0 0 0 0

0 0 0 0 0 0 00 0 0 0 0 0 0

0 0 0 0 0 0 0

0 0 0 0 0 0 0

0 0 0 0 0 0 0

0 0 0 0 0 0 0

19 20 21 22 23 24 25

0 0 0 0 0 0 0

0 0 0 0 0 0 0

0 0 0 0 0 0 0

0 0 0 0 0 0 00 0 0 0 0 0 0

0 0 0 0 0 0 0

0 0 0 0 0 0 0

0 0 0 0 0 0 0

0 0 0 0 0 0 0

0 0 0 0 0 0 0

0 0 0 0 0 0 0

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19 20 21 22 23 24 25

0 0 0 0 0 0 0

0 0 0 0 0 0 0

0 0 0 0 0 0 0

0 0 0 0 0 0 00 0 0 0 0 0 0

0 0 0 0 0 0 0

0 0 0 0 0 0 0

0 0 0 0 0 0 0

0 0 0 0 0 0 0

0 0 0 0 0 0 0

0 0 0 0 0 0 0

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26 27 28 29

-1 -1 -1 -1

-1 -1 -1 -1

-1 -1 -1 -1

-1 -1 -1 -1

-1 -1 -1 -1

-1 -1 -1 -1

-1 -1 -1 -1

-1 -1 -1 -1

-1 -1 -1 -1

-1 -1 -1 -1

-1 -1 -1 -1

26 27 28 29

0 0 0 0

0 0 0 0

0 0 0 0

0 0 0 0

0 0 0 0

0 0 0 0

0 0 0 0

0 0 0 0

0 0 0 0

0 0 0 0

0 0 0 0

0 0 0 0

26 27 28 29

0 0 0 0

0 0 0 0

0 0 0 0

0 0 0 0

0 0 0 0

0 0 0 0

0 0 0 0

0 0 0 0

0 0 0 0

0 0 0 0

0 0 0 0

26 27 28 29

0 0 0 0

0 0 0 0

0 0 0 0

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0 0 0 0

0 0 0 0

0 0 0 0

0 0 0 0

0 0 0 0

0 0 0 0

0 0 0 0

0 0 0 0

0 0 0 0

26 27 28 29

0 0 0 0

0 0 0 0

0 0 0 0

0 0 0 0

0 0 0 0

0 0 0 0

0 0 0 0

0 0 0 00 0 0 0

0 0 0 0

0 0 0 0

26 27 28 29

0 0 0 0

0 0 0 0

0 0 0 0

0 0 0 0

0 0 0 0

0 0 0 00 0 0 0

0 0 0 0

0 0 0 0

0 0 0 0

0 0 0 0

26 27 28 29

0 0 0 0

0 0 0 0

0 0 0 0

0 0 0 00 0 0 0

0 0 0 0

0 0 0 0

0 0 0 0

0 0 0 0

0 0 0 0

0 0 0 0

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26 27 28 29

0 0 0 0

0 0 0 0

0 0 0 0

0 0 0 00 0 0 0

0 0 0 0

0 0 0 0

0 0 0 0

0 0 0 0

0 0 0 0

0 0 0 0

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GNU GENERAL PUBLIC LICENSE

Version 2, June 1991

Copyright (C) 1989, 1991 Free Software Foundation, Inc.

675 Mass Ave, Cambridge, MA 02139, USA

Everyone is permitted to copy and distribute verbatim copies

of this license document, but changing it is not allowed.

Preamble

The licenses for most software are designed to take away your 

freedom to share and change it. By contrast, the GNU General Public

License is intended to guarantee your freedom to share and change free

software--to make sure the software is free for all its users. This

General Public License applies to most of the Free Software

Foundation's software and to any other program whose authors commit to

using it. (Some other Free Software Foundation software is covered bythe GNU Library General Public License instead.) You can apply it to

your programs, too.

When we speak of free software, we are referring to freedom, not

price. Our General Public Licenses are designed to make sure that you

have the freedom to distribute copies of free software (and charge for 

this service if you wish), that you receive source code or can get it

if you want it, that you can change the software or use pieces of it

in new free programs; and that you know you can do these things.

To protect your rights, we need to make restrictions that forbid

anyone to deny you these rights or to ask you to surrender the rights.These restrictions translate to certain responsibilities for you if you

distribute copies of the software, or if you modify it.

For example, if you distribute copies of such a program, whether 

gratis or for a fee, you must give the recipients all the rights that

you have. You must make sure that they, too, receive or can get the

source code. And you must show them these terms so they know their 

rights.

We protect your rights with two steps: (1) copyright the software, and

(2) offer you this license which gives you legal permission to copy,

distribute and/or modify the software.

 Also, for each author's protection and ours, we want to make certain

that everyone understands that there is no warranty for this free

software. If the software is modified by someone else and passed on, we

want its recipients to know that what they have is not the original, so

that any problems introduced by others will not reflect on the original

authors' reputations.

Finally, any free program is threatened constantly by software

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patents. We wish to avoid the danger that redistributors of a free

program will individually obtain patent licenses, in effect making the

program proprietary. To prevent this, we have made it clear that any

patent must be licensed for everyone's free use or not licensed at all.

The precise terms and conditions for copying, distribution and

modification follow.

GNU GENERAL PUBLIC LICENSE

TERMS AND CONDITIONS FOR COPYING, DISTRIBUTION AND MODIFICATION

0. This License applies to any program or other work which contains

a notice placed by the copyright holder saying it may be distributed

under the terms of this General Public License. The "Program", below,

refers to any such program or work, and a "work based on the Program"

means either the Program or any derivative work under copyright law:

that is to say, a work containing the Program or a portion of it,

either verbatim or with modifications and/or translated into another 

language. (Hereinafter, translation is included without limitation inthe term "modification".) Each licensee is addressed as "you".

 Activities other than copying, distribution and modification are not

covered by this License; they are outside its scope. The act of 

running the Program is not restricted, and the output from the Program

is covered only if its contents constitute a work based on the

Program (independent of having been made by running the Program).

Whether that is true depends on what the Program does.

1. You may copy and distribute verbatim copies of the Program's

source code as you receive it, in any medium, provided that you

conspicuously and appropriately publish on each copy an appropriatecopyright notice and disclaimer of warranty; keep intact all the

notices that refer to this License and to the absence of any warranty;

and give any other recipients of the Program a copy of this License

along with the Program.

You may charge a fee for the physical act of transferring a copy, and

you may at your option offer warranty protection in exchange for a fee.

2. You may modify your copy or copies of the Program or any portion

of it, thus forming a work based on the Program, and copy and

distribute such modifications or work under the terms of Section 1

above, provided that you also meet all of these conditions:

a) You must cause the modified files to carry prominent notices

stating that you changed the files and the date of any change.

b) You must cause any work that you distribute or publish, that in

whole or in part contains or is derived from the Program or any

part thereof, to be licensed as a whole at no charge to all third

parties under the terms of this License.

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c) If the modified program normally reads commands interactively

when run, you must cause it, when started running for such

interactive use in the most ordinary way, to print or display an

announcement including an appropriate copyright notice and a

notice that there is no warranty (or else, saying that you provide

a warranty) and that users may redistribute the program under 

these conditions, and telling the user how to view a copy of this

License. (Exception: if the Program itself is interactive but

does not normally print such an announcement, your work based on

the Program is not required to print an announcement.)

These requirements apply to the modified work as a whole. If 

identifiable sections of that work are not derived from the Program,

and can be reasonably considered independent and separate works in

themselves, then this License, and its terms, do not apply to those

sections when you distribute them as separate works. But when you

distribute the same sections as part of a whole which is a work based

on the Program, the distribution of the whole must be on the terms of 

this License, whose permissions for other licensees extend to theentire whole, and thus to each and every part regardless of who wrote it.

Thus, it is not the intent of this section to claim rights or contest

your rights to work written entirely by you; rather, the intent is to

exercise the right to control the distribution of derivative or 

collective works based on the Program.

In addition, mere aggregation of another work not based on the Program

with the Program (or with a work based on the Program) on a volume of 

a storage or distribution medium does not bring the other work under 

the scope of this License.

3. You may copy and distribute the Program (or a work based on it,

under Section 2) in object code or executable form under the terms of 

Sections 1 and 2 above provided that you also do one of the following:

a) Accompany it with the complete corresponding machine-readable

source code, which must be distributed under the terms of Sections

1 and 2 above on a medium customarily used for software interchange; or,

b) Accompany it with a written offer, valid for at least three

years, to give any third party, for a charge no more than your 

cost of physically performing source distribution, a complete

machine-readable copy of the corresponding source code, to be

distributed under the terms of Sections 1 and 2 above on a medium

customarily used for software interchange; or,

c) Accompany it with the information you received as to the offer 

to distribute corresponding source code. (This alternative is

allowed only for noncommercial distribution and only if you

received the program in object code or executable form with such

an offer, in accord with Subsection b above.)

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The source code for a work means the preferred form of the work for 

making modifications to it. For an executable work, complete source

code means all the source code for all modules it contains, plus any

associated interface definition files, plus the scripts used to

control compilation and installation of the executable. However, as a

special exception, the source code distributed need not include

anything that is normally distributed (in either source or binary

form) with the major components (compiler, kernel, and so on) of the

operating system on which the executable runs, unless that component

itself accompanies the executable.

If distribution of executable or object code is made by offering

access to copy from a designated place, then offering equivalent

access to copy the source code from the same place counts as

distribution of the source code, even though third parties are not

compelled to copy the source along with the object code.

4. You may not copy, modify, sublicense, or distribute the Program

except as expressly provided under this License. Any attemptotherwise to copy, modify, sublicense or distribute the Program is

void, and will automatically terminate your rights under this License.

However, parties who have received copies, or rights, from you under 

this License will not have their licenses terminated so long as such

parties remain in full compliance.

5. You are not required to accept this License, since you have not

signed it. However, nothing else grants you permission to modify or 

distribute the Program or its derivative works. These actions are

prohibited by law if you do not accept this License. Therefore, by

modifying or distributing the Program (or any work based on the

Program), you indicate your acceptance of this License to do so, andall its terms and conditions for copying, distributing or modifying

the Program or works based on it.

6. Each time you redistribute the Program (or any work based on the

Program), the recipient automatically receives a license from the

original licensor to copy, distribute or modify the Program subject to

these terms and conditions. You may not impose any further 

restrictions on the recipients' exercise of the rights granted herein.

You are not responsible for enforcing compliance by third parties to

this License.

7. If, as a consequence of a court judgment or allegation of patent

infringement or for any other reason (not limited to patent issues),

conditions are imposed on you (whether by court order, agreement or 

otherwise) that contradict the conditions of this License, they do not

excuse you from the conditions of this License. If you cannot

distribute so as to satisfy simultaneously your obligations under this

License and any other pertinent obligations, then as a consequence you

may not distribute the Program at all. For example, if a patent

license would not permit royalty-free redistribution of the Program by

all those who receive copies directly or indirectly through you, then

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the only way you could satisfy both it and this License would be to

refrain entirely from distribution of the Program.

If any portion of this section is held invalid or unenforceable under 

any particular circumstance, the balance of the section is intended to

apply and the section as a whole is intended to apply in other 

circumstances.

It is not the purpose of this section to induce you to infringe any

patents or other property right claims or to contest validity of any

such claims; this section has the sole purpose of protecting the

integrity of the free software distribution system, which is

implemented by public license practices. Many people have made

generous contributions to the wide range of software distributed

through that system in reliance on consistent application of that

system; it is up to the author/donor to decide if he or she is willing

to distribute software through any other system and a licensee cannot

impose that choice.

This section is intended to make thoroughly clear what is believed to

be a consequence of the rest of this License.

8. If the distribution and/or use of the Program is restricted in

certain countries either by patents or by copyrighted interfaces, the

original copyright holder who places the Program under this License

may add an explicit geographical distribution limitation excluding

those countries, so that distribution is permitted only in or among

countries not thus excluded. In such case, this License incorporates

the limitation as if written in the body of this License.

9. The Free Software Foundation may publish revised and/or new versionsof the General Public License from time to time. Such new versions will

be similar in spirit to the present version, but may differ in detail to

address new problems or concerns.

Each version is given a distinguishing version number. If the Program

specifies a version number of this License which applies to it and "any

later version", you have the option of following the terms and conditions

either of that version or of any later version published by the Free

Software Foundation. If the Program does not specify a version number of 

this License, you may choose any version ever published by the Free Software

Foundation.

10. If you wish to incorporate parts of the Program into other free

programs whose distribution conditions are different, write to the author 

to ask for permission. For software which is copyrighted by the Free

Software Foundation, write to the Free Software Foundation; we sometimes

make exceptions for this. Our decision will be guided by the two goals

of preserving the free status of all derivatives of our free software and

of promoting the sharing and reuse of software generally.

NO WARRANTY

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11. BECAUSE THE PROGRAM IS LICENSED FREE OF CHARGE, THERE IS NO WARRANTY

FOR THE PROGRAM, TO THE EXTENT PERMITTED BY APPLICABLE LAW. EXCEPT WHEN

OTHERWISE STATED IN WRITING THE COPYRIGHT HOLDERS AND/OR OTHER PARTIES

PROVIDE THE PROGRAM "AS IS" WITHOUT WARRANTY OF ANY KIND, EITHER EXPRESSED

OR IMPLIED, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF

MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE. THE ENTIRE RISK AS

TO THE QUALITY AND PERFORMANCE OF THE PROGRAM IS WITH YOU. SHOULD THE

PROGRAM PROVE DEFECTIVE, YOU ASSUME THE COST OF ALL NECESSARY SERVICING,

REPAIR OR CORRECTION.

12. IN NO EVENT UNLESS REQUIRED BY APPLICABLE LAW OR AGREED TO IN WRITING

WILL ANY COPYRIGHT HOLDER, OR ANY OTHER PARTY WHO MAY MODIFY AND/OR

REDISTRIBUTE THE PROGRAM AS PERMITTED ABOVE, BE LIABLE TO YOU FOR DAMAGES,

INCLUDING ANY GENERAL, SPECIAL, INCIDENTAL OR CONSEQUENTIAL DAMAGES ARISING

OUT OF THE USE OR INABILITY TO USE THE PROGRAM (INCLUDING BUT NOT LIMITED

TO LOSS OF DATA OR DATA BEING RENDERED INACCURATE OR LOSSES SUSTAINED BY

YOU OR THIRD PARTIES OR A FAILURE OF THE PROGRAM TO OPERATE WITH ANY OTHER

PROGRAMS), EVEN IF SUCH HOLDER OR OTHER PARTY HAS BEEN ADVISED OF THEPOSSIBILITY OF SUCH DAMAGES.

END OF TERMS AND CONDITIONS

 Appendix: How to Apply These Terms to Your New Programs

If you develop a new program, and you want it to be of the greatest

possible use to the public, the best way to achieve this is to make it

free software which everyone can redistribute and change under these terms.

To do so, attach the following notices to the program. It is safest

to attach them to the start of each source file to most effectivelyconvey the exclusion of warranty; and each file should have at least

the "copyright" line and a pointer to where the full notice is found.

<one line to give the program's name and a brief idea of what it does.>

Copyright (C) 19yy <name of author>

This program is free software; you can redistribute it and/or modify

it under the terms of the GNU General Public License as published by

the Free Software Foundation; either version 2 of the License, or 

(at your option) any later version.

This program is distributed in the hope that it will be useful,

but WITHOUT ANY WARRANTY; without even the implied warranty of 

MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the

GNU General Public License for more details.

You should have received a copy of the GNU General Public License

along with this program; if not, write to the Free Software

Foundation, Inc., 675 Mass Ave, Cambridge, MA 02139, USA.

 Also add information on how to contact you by electronic and paper mail.

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If the program is interactive, make it output a short notice like this

when it starts in an interactive mode:

Gnomovision version 69, Copyright (C) 19yy name of author 

Gnomovision comes with ABSOLUTELY NO WARRANTY; for details type ̀ show w'.

This is free software, and you are welcome to redistribute it

under certain conditions; type ̀ show c' for details.

The hypothetical commands `show w' and `show c' should show the appropriate

parts of the General Public License. Of course, the commands you use may

be called something other than `show w' and `show c'; they could even be

mouse-clicks or menu items--whatever suits your program.

You should also get your employer (if you work as a programmer) or your 

school, if any, to sign a "copyright disclaimer" for the program, if 

necessary. Here is a sample; alter the names:

Yoyodyne, Inc., hereby disclaims all copyright interest in the program`Gnomovision' (which makes passes at compilers) written by James Hacker.

<signature of Ty Coon>, 1 April 1989

Ty Coon, President of Vice

This General Public License does not permit incorporating your program into

proprietary programs. If your program is a subroutine library, you may

consider it more useful to permit linking proprietary applications with the

library. If this is what you want to do, use the GNU Library General

Public License instead of this License.