Table 6 Comparison table for the physicochemical properties of alkanes based on \(\chi _{n, \gamma _t}\).

From: Lower bounds for the Zagreb indices of trees with given total domination number and its applications in QSPR studies of alkanes

Name

\(\log\) P

MR

MV

PR

\(\alpha\)

Actual

Predicted

Actual

Predicted

Actual

Predicted

Actual

Predicted

Actual

Predicted

Propane

2.6

2.606

20.58

20.622

94.5

94.657

191.2

191.63

8.15

8.169

Butane

3.14

3.405

25.21

27.529

111

119.269

231

250.941

9.99

10.902

Pentane

3.67

3.671

29.84

29.831

127.5

127.473

270.8

270.711

11.83

11.813

Hexane

4.21

3.937

34.47

32.133

144

135.677

310.6

290.481

13.66

12.724

Heptane

4.74

4.736

39.11

39.04

160.5

160.289

350.4

349.792

15.5

15.457

Octane

5.28

5.534

43.74

45.947

177

184.901

390.2

409.103

17.34

18.189

Nonane

5.82

5.8

48.37

48.249

193.6

193.105

430

428.873

19.17

19.1

Decane

6.35

6.067

53.01

50.551

210.1

201.309

469.7

448.643

21.01

20.012

Undecane

6.89

6.865

57.64

57.458

226.6

225.921

509.5

507.954

22.85

22.745

Dodecane

7.42

7.664

62.27

64.364

243.1

250.533

549.3

567.264

24.28

25.478

Tridecane

7.96

7.93

66.9

66.666

259.6

258.737

589.1

587.034

26.52

26.389

Tetradecane

8.5

8.196

71.54

68.969

276.1

266.941

628.9

606.805

28.36

27.299

Pentadecane

9.03

8.995

76.17

75.875

292.6

291.553

668.7

666.115

30.19

30.033

Hexadecane

9.57

9.793

80.8

82.782

309.1

316.165

708.4

725.426

32.03

32.766

Heptadecane

10.1

10.059

85.44

85.084

325.6

324.369

748.2

745.196

33.87

33.677

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