Table 1 The summary table of comparisons between Bridgeman’s experimental data29 and the densities predicted by Eqs. (3)–(2), which indicates the average (AAD) and maximal (\(\mathrm {max(RD)}\)) absolute relative deviations. The parameters at ambient pressure used for the predictive calculation for liquid, which names are supplied with asterisks, the correlations for the evaluated available experimental data by the NIST ThermoData Engine (TDE)31 were used; otherwise, the data generated by the NIST REFPRPOP30 were used.

From: Combining the Tait equation with the phonon theory allows predicting the density of liquids up to the Gigapascal range

Liquid

\(P_{max}, ~\textrm{MPa}\)

\(k'\)

\(k'_r\)

AAD, %

\(\textrm{AAD}_r\), %

\(\mathrm {max(RD)},~\%\)

\(\mathrm {max(RD}_r),~\%\)

n-Pentane, \(T < T_b\)

981

9.82

10

1.2

1.44

1.84

2.25

n-Pentane, \(T > T_b\)

0.74

1.15

1.56

2.08

Isopentane, \(T < T_b\)

883

9.97

10

0.19

0.19

0.32

0.38

Isopentane, \(T > T_b\)

0.71

0.65

2.22

2.22

n-Hexane, \(T < T_b\)

1079

9.68

10

0.98

0.51

1.38

0.85

n-Hexane, \(T > T_b\)

1.39

0.56

1.74

0.86

2-Methylpentane, \(T < T_b\)

1177

10

10

0.11

0.11

0.29

0.3

2-Methylpentane, \(T > T_b\)

0.43

0.43

0.61

0.61

3-Methylpentane, \(T < T_b\)

1177

9.85

10

0.51

0.72

1.53

1.86

3-Methylpentane, \(T > T_b\)

0.09

0.4

0.3

0.87

2,2-Dimethylbutane, \(T < T_b\)

981

10.28

10.5

0.8

0.66

1.27

1.02

2,2-Dimethylbutane, \(T > T_b\)

1.28

0.86

1.99

1.21

2,3-Dimethylbutane, \(T < T_b\)

1079

9.82

10

0.14

0.22

0.44

0.93

2,3-Simethylbutane, \(T > T_b\)

0.63

0.24

0.76

0.48

n-Heptane, \(T < T_b\)

1079

9.93

10

0.23

0.3

0.71

0.87

n-Octane, \(T < T_b\)

981

9.98

10

0.54

0.51

0.95

0.92

n-Decane, \(T < T_b\)

785

10.06

10

0.19

0.19

0.34

0.41

Bromobenzene*, \(T < T_b\)

883

9.24

9.5

0.38

0.23

0.82

0.41

Chlorobenzene*, \(T < T_b\)

1079

10.05

10

0.71

0.75

1.61

1.72

Methyl alcohol, \(T < T_b\)

1177

8.36

8.5

2.44

2.21

4.13

3.65

Methyl alcohol, \(T > T_b\)

2.81

2.54

4.51

3.97

Ethyl alcohol, \(T < T_b\)

1177

9.32

9.5

0.45

0.38

0.88

0.87

Ethyl alcohol, \(T > T_b\)

0.65

0.44

0.91

0.77

Propyl alcohol*, \(T < T_b\)

1177

9.21

9.5

1.46

1.11

3.13

2.31

Isopropyl alcohol*, \(T < T_b\)

1177

8.95

9

1.96

1.9

3.46

3.31

Isopropyl alcohol*, \(T > T_b\)

2.69

2.58

3.83

3.64

n-Butyl alcohol*, \(T < T_b\)

1177

9.24

9.5

1.36

1.06

2.23

1.5

Isobutyl alcohol*, \(T < T_b\)

1177

9.46

9.5

0.39

0.34

0.98

0.87

n-Pentyl alcohol*, \(T < T_b\)

1177

9.31

9.5

0.3

0.13

0.87

0.4

n-Hexyl alcohol*, \(T < T_b\)

687

9.67

10

0.83

0.63

1.71

1.15

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