Table A1 Ρpt, Vpt, Ap, 1/Ap, Βp, Vt=0 and Ρt=0 of N-Pentane, N-Octane, N-Decane, N-Hexadecane N-Pentane Temp.,℃ 52.6 149.9 247.3

Home , Octadecane

Appendixes : Table A1 ρpt, Vpt, aP, 1/aP, βP, Vt=0 and ρt=0 of n-Pentane, n-Octane, n-Decane, n-Hexadecane n-Pentane Temp.,℃ 52.6 149.9 247.3

a p , 1/a p , β P , V t=0 , ρ t=0 , Pressure, ρ pt, V pt, ρ pt, V pt, ρ pt, V pt, (cm3/g)/K K･(g/cm3) 1/K cm3/g 3 GPa g/cm3 cm3/g g/cm3 cm3/g g/cm3 cm3/g g/cm 0.000 0.025 0.6326 1.5808 0.5843 1.7116 0.5238 1.9092 1.687E-03 593 1.654E-03 1.0200 0.9804 0.050 0.6495 1.5397 0.6032 1.6577 0.5429 1.8421 1.553E-03 644 1.518E-03 1.0230 0.9775 0.075 0.6652 1.5032 0.6208 1.6108 0.5608 1.7830 1.437E-03 696 1.403E-03 1.0240 0.9766 0.100 0.6798 1.4711 0.6370 1.5698 0.5777 1.7309 1.335E-03 749 1.301E-03 1.0260 0.9747 0.125 0.6932 1.4427 0.6518 1.5342 0.5935 1.6848 1.244E-03 804 1.210E-03 1.0280 0.9728 0.150 0.7054 1.4177 0.6652 1.5032 0.6082 1.6441 1.163E-03 860 1.129E-03 1.0300 0.9709 0.175 0.7164 1.3959 0.6773 1.4765 0.6218 1.6081 1.090E-03 917 1.056E-03 1.0320 0.9690 0.200 0.7263 1.3769 0.6879 1.4537 0.6343 1.5764 1.025E-03 976 9.903E-04 1.0350 0.9662 0.225 0.7349 1.3607 0.6971 1.4344 0.6458 1.5486 9.652E-04 1036 9.281E-04 1.0400 0.9615 0.250 0.7424 1.3469 0.7050 1.4184 0.6561 1.5242 9.108E-04 1098 8.716E-04 1.0450 0.9569 av 1.0303 0.9706 σ 0.0079 0.0074 cv% 0.76 0.76 Hatched cells have no data because bp=36.1℃

n-Octane Temp.,℃ 48.7 150.2 248.4 a , 1/a , β , V , ρ , ρ , V , ρ , V , ρ , V , p p P t=0 t=0 Pressure, pt pt pt pt pt pt 3 3 3 (cm /g)/K K･(g/cm ) 1/K cm /g g/cm3 GPa g/cm3 cm3/g g/cm3 cm3/g g/cm3 cm3/g 0.000 0.6864 1.4569 0.025 0.7018 1.4250 0.6514 1.5352 0.6032 1.6579 1.166E-03 858 1.114E-03 1.0470 0.9551 0.050 0.7161 1.3964 0.6665 1.5003 0.6196 1.6139 1.089E-03 918 1.043E-03 1.0440 0.9579 0.075 0.7295 1.3708 0.6809 1.4686 0.6352 1.5743 1.019E-03 981 9.789E-04 1.0410 0.9606 0.100 0.7419 1.3479 0.6945 1.4398 0.6499 1.5386 9.548E-04 1047 9.190E-04 1.0390 0.9625 0.125 0.7533 1.3275 0.7073 1.4138 0.6638 1.5064 8.956E-04 1117 8.628E-04 1.0380 0.9634 0.150 0.7637 1.3094 0.7194 1.3901 0.6769 1.4774 8.407E-04 1189 8.107E-04 1.0370 0.9643 0.175 0.7731 1.2935 0.7306 1.3688 0.6891 1.4512 7.894E-04 1267 7.605E-04 1.0380 0.9634 0.200 0.7815 1.2796 0.7410 1.3495 0.7004 1.4277 7.412E-04 1349 7.134E-04 1.0390 0.9625 0.225 0.7889 1.2676 0.7507 1.3321 0.7109 1.4066 6.956E-04 1438 6.676E-04 1.0420 0.9597 0.250 0.7953 1.2574 0.7596 1.3166 0.7206 1.3877 6.523E-04 1533 6.242E-04 1.0450 0.9569 av 1.0410 0.9606 σ 0.0034 0.0031 cv% 0.33 0.33 Hatched cells have no data because bp=125.6℃

n-Decane Temp.,℃ 51.3 149.7 247

a p , 1/a p , β P , V t=0 , ρ t=0 , Pressure, ρ pt, V pt, ρ pt, V pt, ρ pt, V pt, (cm3/g)/K K･(g/cm3) 1/K cm3/g 3 GPa g/cm3 cm3/g g/cm3 cm3/g g/cm3 cm3/g g/cm 0.000 0.7066 1.4152 0.6543 1.5284 1.150E-03 870 1.104E-03 1.0420 0.9597 0.025 0.7217 1.3856 0.6725 1.4870 0.6291 1.5895 1.042E-03 960 9.952E-04 1.0470 0.9551 0.050 0.7358 1.3590 0.6894 1.4505 0.6462 1.5474 9.626E-04 1039 9.203E-04 1.0460 0.9560 0.075 0.7490 1.3352 0.7051 1.4181 0.6625 1.5095 8.906E-04 1123 8.522E-04 1.0450 0.9569 0.100 0.7611 1.3139 0.7196 1.3896 0.6778 1.4753 8.250E-04 1212 7.902E-04 1.0440 0.9579 0.125 0.7723 1.2948 0.7329 1.3644 0.6923 1.4445 7.648E-04 1308 7.319E-04 1.0450 0.9569 0.150 0.7825 1.2779 0.7450 1.3423 0.7058 1.4168 7.093E-04 1410 6.781E-04 1.0460 0.9560 0.175 0.7917 1.2631 0.7558 1.3231 0.7185 1.3918 6.576E-04 1521 6.275E-04 1.0480 0.9542 0.200 0.8000 1.2500 0.7654 1.3065 0.7303 1.3693 6.094E-04 1641 5.798E-04 1.0510 0.9515 0.225 0.8073 1.2388 0.7738 1.2924 0.7412 1.3492 5.641E-04 1773 5.347E-04 1.0550 0.9479 0.250 0.8135 1.2292 0.7809 1.2806 0.7512 1.3312 5.212E-04 1919 4.917E-04 1.0600 0.9434 av 1.0481 0.9541 σ 0.0053 0.0048 cv% 0.51 0.50 Hatched cells have no data because bp=174.1℃

n-Hexadecane Temp.,℃ 50.5 149.7 249.4

a p , 1/a p , β P , V t=0 , ρ t=0 , Pressure, ρ pt, V pt, ρ pt, V pt, ρ pt, V pt, (cm3/g)/K K･(g/cm3) 1/K cm3/g 3 GPa g/cm3 cm3/g g/cm3 cm3/g g/cm3 cm3/g g/cm 0.000 0.7486 1.3358 0.6922 1.4447 0.6360 1.5723 1.189E-03 841 1.254E-03 0.9479 1.0550 0.025 0.7652 1.3069 0.7111 1.4063 0.6591 1.5173 1.058E-03 945 1.099E-03 0.9626 1.0389 0.050 0.7805 1.2812 0.7286 1.3725 0.6803 1.4699 9.488E-04 1054 9.749E-04 0.9732 1.0275 0.075 0.7946 1.2586 0.7447 1.3428 0.6997 1.4291 8.575E-04 1166 8.743E-04 0.9808 1.0196 0.100 0.8073 1.2386 0.7595 1.3167 0.7174 1.3940 7.812E-04 1280 7.923E-04 0.9860 1.0142 0.125 0.8189 1.2212 0.7728 1.2940 0.7332 1.3639 7.177E-04 1393 7.254E-04 0.9894 1.0107 0.150 0.8292 1.2060 0.7847 1.2743 0.7472 1.3384 6.652E-04 1503 6.709E-04 0.9915 1.0086 0.175 0.8382 1.1931 0.7953 1.2574 0.7594 1.3169 6.224E-04 1607 6.271E-04 0.9925 1.0076 0.200 0.8459 1.1821 0.8044 1.2431 0.7698 1.2991 5.880E-04 1701 5.923E-04 0.9927 1.0074 0.225 0.8524 1.1731 0.8122 1.2312 0.7784 1.2848 5.613E-04 1782 5.657E-04 0.9923 1.0078 0.250 0.8577 1.1660 0.8186 1.2217 0.7851 1.2737 5.416E-04 1846 5.464E-04 0.9913 1.0088 av 0.9818 1.0187 σ 0.0148 0.0157 cv% 1.51 1.54 Table A2 ρpt, Vpt, aP, 1/aP, βP, Vt=0 and ρt=0 of n-Octadecane, n-Eicosane, 2,2,4-Trimethylpentane, Toluene

n-Octadecane Temp.,℃ 51.1 149.6 249.4

a p , 1/a p , β P , V t=0 , ρ t=0 , Pressure, ρ pt, V pt, ρ pt, V pt, ρ pt, V pt, (cm3/g)/K K･(g/cm3) 1/K cm3/g 3 GPa g/cm3 cm3/g g/cm3 cm3/g g/cm3 cm3/g g/cm 0.000 0.7588 1.3179 0.6991 1.4304 0.6416 1.5586 1.214E-03 824 1.317E-03 0.9220 1.0846 0.025 0.7758 1.2890 0.7186 1.3916 0.6641 1.5059 1.094E-03 914 1.173E-03 0.9329 1.0719 0.050 0.7915 1.2635 0.7366 1.3577 0.6848 1.4604 9.929E-04 1007 1.056E-03 0.9405 1.0633 0.075 0.8059 1.2409 0.7530 1.3280 0.7036 1.4212 9.091E-04 1100 9.615E-04 0.9455 1.0576 0.100 0.8190 1.2210 0.7680 1.3021 0.7208 1.3874 8.392E-04 1192 8.848E-04 0.9485 1.0543 0.125 0.8308 1.2036 0.7815 1.2797 0.7361 1.3586 7.813E-04 1280 8.223E-04 0.9501 1.0525 0.150 0.8414 1.1885 0.7934 1.2604 0.7496 1.3340 7.338E-04 1363 7.720E-04 0.9505 1.0521 0.175 0.8507 1.1756 0.8039 1.2440 0.7613 1.3135 6.954E-04 1438 7.318E-04 0.9502 1.0524 0.200 0.8587 1.1646 0.8128 1.2303 0.7713 1.2965 6.651E-04 1504 7.008E-04 0.9491 1.0536 0.225 0.8654 1.1556 0.8202 1.2191 0.7795 1.2829 6.421E-04 1557 6.776E-04 0.9476 1.0553 0.250 0.8708 1.1484 0.8262 1.2104 0.7859 1.2725 6.259E-04 1598 6.619E-04 0.9456 1.0575 1.1450 0.9439 1.0595 σ 0.0090 0.0102 cv% 0.95 0.96

n-Eicosane Temp.,℃ 50.4 149.6 248.1 a , 1/a , β , V , ρ , ρ , V , ρ , V , ρ , V , p p P t=0 t=0 Pressure, pt pt pt pt pt pt 3 3 3 (cm /g)/K K･(g/cm ) 1/K cm /g g/cm3 GPa g/cm3 cm3/g g/cm3 cm3/g g/cm3 cm3/g 0.000 0.7620 1.3123 0.7082 1.4120 0.6700 1.4925 9.116E-04 1097 8.929E-04 1.0210 0.9794 0.025 0.7778 1.2858 0.7268 1.3759 0.6876 1.4543 8.526E-04 1173 8.425E-04 1.0120 0.9881 0.050 0.7924 1.2619 0.7440 1.3440 0.7057 1.4171 7.849E-04 1274 7.779E-04 1.0090 0.9911 0.075 0.8061 1.2406 0.7599 1.3159 0.7226 1.3840 7.253E-04 1379 7.203E-04 1.0070 0.9930 0.100 0.8186 1.2216 0.7744 1.2913 0.7383 1.3545 6.725E-04 1487 6.692E-04 1.0050 0.9950 0.125 0.8301 1.2047 0.7876 1.2697 0.7528 1.3283 6.255E-04 1599 6.236E-04 1.0030 0.9970 0.150 0.8405 1.1898 0.7994 1.2510 0.7662 1.3051 5.837E-04 1713 5.825E-04 1.0020 0.9980 0.175 0.8499 1.1767 0.8098 1.2349 0.7784 1.2847 5.463E-04 1830 5.458E-04 1.0010 0.9990 0.200 0.8581 1.1653 0.8189 1.2212 0.7895 1.2667 5.128E-04 1950 5.123E-04 1.0010 0.9990 0.225 0.8653 1.1556 0.8266 1.2098 0.7993 1.2510 4.827E-04 2072 4.817E-04 1.0020 0.9980 0.250 0.8715 1.1475 0.8329 1.2006 0.8081 1.2375 4.557E-04 2194 4.543E-04 1.0030 0.9970 av 1.0060 0.9941 σ 0.0061 0.0060 cv% 0.61 0.60

2,2,4-Trimethylpentane Temp.,℃ 50.9 149.5 247.1

a p , 1/a p , β P , V t=0 , ρ t=0 , Pressure, ρ pt, V pt, ρ pt, V pt, ρ pt, V pt, (cm3/g)/K K･(g/cm3) 1/K cm3/g 3 GPa g/cm3 cm3/g g/cm3 cm3/g g/cm3 cm3/g g/cm 0.000 0.6760 1.4793 0.025 0.6945 1.4398 0.6439 1.5530 0.5973 1.6742 1.194E-03 838 1.136E-03 1.0510 0.9515 0.050 0.7117 1.4051 0.6620 1.5106 0.6166 1.6218 1.105E-03 905 1.056E-03 1.0460 0.9560 0.075 0.7275 1.3745 0.6789 1.4729 0.6347 1.5757 1.025E-03 976 9.846E-04 1.0410 0.9606 0.100 0.7420 1.3477 0.6948 1.4392 0.6515 1.5349 9.539E-04 1048 9.190E-04 1.0380 0.9634 0.125 0.7551 1.3243 0.7096 1.4092 0.6671 1.4989 8.899E-04 1124 8.598E-04 1.0350 0.9662 0.150 0.7669 1.3040 0.7233 1.3825 0.6816 1.4672 8.318E-04 1202 8.052E-04 1.0330 0.9681 0.175 0.7773 1.2866 0.7360 1.3587 0.6947 1.4394 7.787E-04 1284 7.538E-04 1.0330 0.9681 0.200 0.7863 1.2718 0.7475 1.3377 0.7067 1.4150 7.298E-04 1370 7.065E-04 1.0330 0.9681 0.225 0.7940 1.2594 0.7580 1.3193 0.7175 1.3938 6.844E-04 1461 6.613E-04 1.0350 0.9662 0.250 0.8003 1.2495 0.7674 1.3031 0.7270 1.3755 6.420E-04 1558 6.185E-04 1.0380 0.9634 av 1.0383 0.9631 σ 0.0061 0.0056 cv% 0.59 0.58 Hatched cells have no data because bp=99℃

Toluene Temp.,℃ 49.7 149.1 251.9 a , 1/a , β , V , ρ , Pressure, p p P t=0 t=0 ρ , g/cm3 V , cm3/g ρ , g/cm3 V , cm3/g ρ , g/cm3 V , cm3/g (cm3/g)/K K･(g/cm3) 1/K cm3/g 3 GPa pt pt pt pt pt pt g/cm 0.000 0.8514 1.1745 0.025 0.8664 1.1542 0.8004 1.2494 0.7258 1.3777 1.106E-03 904 1.396E-03 0.7923 1.2621 0.050 0.8806 1.1356 0.8160 1.2256 0.7443 1.3435 1.029E-03 972 1.287E-03 0.7996 1.2506 0.075 0.8940 1.1186 0.8309 1.2035 0.7623 1.3118 9.561E-04 1046 1.185E-03 0.8066 1.2398 0.100 0.9066 1.1031 0.8453 1.1830 0.7797 1.2826 8.881E-04 1126 1.091E-03 0.8137 1.2290 0.125 0.9183 1.0889 0.8591 1.1640 0.7965 1.2554 8.240E-04 1214 1.004E-03 0.8207 1.2185 0.150 0.9293 1.0760 0.8723 1.1464 0.8128 1.2303 7.631E-04 1310 9.217E-04 0.8279 1.2079 0.175 0.9395 1.0644 0.8849 1.1301 0.8286 1.2069 7.052E-04 1418 8.442E-04 0.8353 1.1972 0.200 0.9489 1.0538 0.8969 1.1149 0.8438 1.1852 6.498E-04 1539 7.708E-04 0.8430 1.1862 0.225 0.9575 1.0444 0.9083 1.1009 0.8584 1.1650 5.966E-04 1676 7.011E-04 0.8509 1.1752 0.250 0.9653 1.0359 0.9191 1.0880 0.8725 1.1462 5.452E-04 1834 6.090E-04 0.8953 1.1169 av 0.8285 1.2083 σ 0.0300 0.0425 cv% 3.63 3.52 Hatched cells have no data because bp=110.6℃ Table A3 ρpt, Vpt, aP, 1/aP, βP, Vt=0 and ρt=0 of Lubricant 1~4

Lubricant 1 Temp.,℃ 40 6080 100

a p , 1/a p , β P , V t=0 , ρt=0 , Pressure, ρ pt, V pt, ρ pt, V pt, ρ pt, V pt, ρ pt, V pt, (cm3/g)/K K･(g/cm3) 1/K cm3/g ｇ/cm3 GPa g/cm3 cm3/g g/cm3 cm3/g g/cm3 cm3/g g/cm3 cm3/g 0.000 0.8301 1.2047 0.8172 1.2236 0.8044 1.2432 0.7916 1.2633 9.763E-04 1024 1.086E-03 0.8988 1.1126 0.025 0.8422 1.1874 0.8299 1.2050 0.8176 1.2231 0.8053 1.2418 9.069E-04 1103 1.004E-03 0.9033 1.1071 0.050 0.8537 1.1713 0.8419 1.1878 0.8301 1.2047 0.8182 1.2221 8.470E-04 1181 9.349E-04 0.9060 1.1038 0.075 0.8648 1.1564 0.8534 1.1718 0.8420 1.1877 0.8305 1.2041 7.951E-04 1258 8.763E-04 0.9073 1.1022 0.100 0.8753 1.1425 0.8643 1.1570 0.8533 1.1720 0.8421 1.1874 7.500E-04 1333 8.264E-04 0.9075 1.1019 0.125 0.8854 1.1294 0.8748 1.1431 0.8640 1.1574 0.8532 1.1721 7.106E-04 1407 7.836E-04 0.9068 1.1028 0.150 0.8951 1.1172 0.8848 1.1303 0.8743 1.1438 0.8637 1.1578 6.761E-04 1479 7.467E-04 0.9054 1.1045 0.175 0.9044 1.1058 0.8943 1.1182 0.8841 1.1311 0.8737 1.1445 6.459E-04 1548 7.150E-04 0.9034 1.1069 0.200 0.9133 1.0950 0.9035 1.1069 0.8934 1.1193 0.8833 1.1321 6.192E-04 1615 6.873E-04 0.9009 1.1100 0.225 0.9218 1.0848 0.9122 1.0962 0.9024 1.1082 0.8924 1.1206 5.957E-04 1679 6.633E-04 0.8981 1.1135 0.250 0.9300 1.0752 0.9206 1.0862 0.9110 1.0977 0.9011 1.1097 5.750E-04 1739 6.425E-04 0.8950 1.1173 1.1450 0.9030 1.1075 σ 0.0042 0.0052 cv% 0.47 0.47

Lubricant 2 Temp.,℃ 40 6080 100

a p , 1/a p , β P , V t=0 , ρt=0 , Pressure, ρ pt, ρ pt, ρ pt, ρ pt, V , cm3/g V , cm3/g V , cm3/g V , cm3/g (cm3/g)/K K･(g/cm3) 1/K cm3/g ｇ/cm3 GPa g/cm3 pt g/cm3 pt g/cm3 pt g/cm3 pt 0.000 0.8345 1.1983 0.8214 1.2174 0.8083 1.2372 0.7952 1.2575 9.877E-04 1012 1.111E-03 0.8887 1.1252 0.025 0.8481 1.1792 0.8360 1.1962 0.8235 1.2143 0.8116 1.2321 8.852E-04 1130 9.817E-04 0.9017 1.1090 0.050 0.8612 1.1612 0.8499 1.1765 0.8383 1.1929 0.8274 1.2086 7.931E-04 1261 8.690E-04 0.9127 1.0957 0.075 0.8733 1.1451 0.8628 1.1591 0.8519 1.1738 0.8419 1.1878 7.141E-04 1400 7.750E-04 0.9214 1.0853 0.100 0.8844 1.1308 0.8744 1.1437 0.8644 1.1568 0.8551 1.1694 6.466E-04 1547 6.965E-04 0.9283 1.0772 0.125 0.8944 1.1181 0.8848 1.1301 0.8758 1.1418 0.8670 1.1534 5.893E-04 1697 6.311E-04 0.9337 1.0710 0.150 0.9034 1.1069 0.8941 1.1184 0.8860 1.1287 0.8776 1.1395 5.412E-04 1848 5.772E-04 0.9377 1.0664 0.175 0.9114 1.0972 0.9022 1.1084 0.8951 1.1172 0.8868 1.1276 5.013E-04 1995 5.330E-04 0.9406 1.0632 0.200 0.9184 1.0888 0.9091 1.1000 0.9030 1.1074 0.8948 1.1176 4.690E-04 2132 4.976E-04 0.9425 1.0610 0.225 0.9244 1.0818 0.9149 1.0930 0.9098 1.0992 0.9014 1.1094 4.437E-04 2254 4.702E-04 0.9436 1.0598 0.250 0.9293 1.0761 0.9194 1.0876 0.9154 1.0924 0.9068 1.1028 4.249E-04 2353 4.502E-04 0.9439 1.0594 av 0.9268 1.0794 σ 0.0187 0.0222 cv% 2.02 2.05

Lubricant 3 Temp.,℃ 40 6080 100

a p , 1/a p , β P , V t=0 , ρt=0 , Pressure, ρ pt, ρ pt, ρ pt, ρ pt, V , cm3/g V , cm3/g V , cm3/g V , cm3/g (cm3/g)/K K･(g/cm3) 1/K cm3/g ｇ/cm3 GPa g/cm3 pt g/cm3 pt g/cm3 pt g/cm3 pt 0.000 0.8198 1.2198 0.8072 1.2388 0.7945 1.2586 0.7815 1.2796 9.967E-04 1003 1.099E-03 0.9072 1.1023 0.025 0.8324 1.2014 0.8195 1.2202 0.8071 1.2391 0.7938 1.2598 9.709E-04 1030 1.082E-03 0.8970 1.1148 0.050 0.8446 1.1839 0.8316 1.2026 0.8194 1.2204 0.8059 1.2408 9.431E-04 1060 1.062E-03 0.8884 1.1256 0.075 0.8561 1.1681 0.8429 1.1864 0.8311 1.2033 0.8174 1.2234 9.142E-04 1094 1.037E-03 0.8816 1.1343 0.100 0.8667 1.1537 0.8534 1.1718 0.8420 1.1876 0.8283 1.2074 8.843E-04 1131 1.009E-03 0.8767 1.1406 0.125 0.8766 1.1408 0.8632 1.1585 0.8523 1.1734 0.8385 1.1927 8.534E-04 1172 9.770E-04 0.8735 1.1448 0.150 0.8856 1.1292 0.8723 1.1464 0.8618 1.1604 0.8480 1.1792 8.215E-04 1217 9.422E-04 0.8719 1.1469 0.175 0.8939 1.1188 0.8806 1.1356 0.8706 1.1486 0.8569 1.1670 7.866E-04 1271 9.022E-04 0.8719 1.1469 0.200 0.9013 1.1095 0.8881 1.1260 0.8787 1.1380 0.8652 1.1558 7.547E-04 1325 8.641E-04 0.8734 1.1450 0.225 0.9079 1.1014 0.8949 1.1175 0.8861 1.1285 0.8728 1.1457 7.197E-04 1389 8.212E-04 0.8764 1.1410 0.250 0.9137 1.0944 0.9009 1.1100 0.8928 1.1200 0.8798 1.1366 6.834E-04 1463 7.759E-04 0.8808 1.1353 av 0.8817 1.1343 σ 0.0115 0.0145 cv% 1.30 1.28

Lubricant 4 Temp.,℃ 40 60 80 100

a p , 1/a p , β P , V t=0 , ρt=0 , Pressure, ρ pt, ρ pt, ρ pt, ρ pt, V , cm3/g V , cm3/g V , cm3/g V , cm3/g (cm3/g)/K K･(g/cm3) 1/K cm3/g ｇ/cm3 GPa g/cm3 pt g/cm3 pt g/cm3 pt g/cm3 pt 0.000 0.8538 1.1713 0.8415 1.1884 0.8292 1.2060 0.8169 1.2242 8.813E-04 1135 9.845E-04 0.8952 1.1171 0.025 0.8669 1.1536 0.8550 1.1696 0.8436 1.1855 0.8302 1.2045 8.440E-04 1185 9.496E-04 0.8888 1.1251 0.050 0.8797 1.1368 0.8681 1.1520 0.8574 1.1663 0.8432 1.1860 8.104E-04 1234 9.185E-04 0.8823 1.1334 0.075 0.8916 1.1216 0.8803 1.1360 0.8702 1.1492 0.8552 1.1693 7.817E-04 1279 8.925E-04 0.8759 1.1417 0.100 0.9026 1.1079 0.8916 1.1216 0.8818 1.1340 0.8664 1.1542 7.574E-04 1320 8.709E-04 0.8697 1.1498 0.125 0.9128 1.0956 0.9019 1.1087 0.8924 1.1206 0.8766 1.1408 7.371E-04 1357 8.535E-04 0.8636 1.1579 0.150 0.9220 1.0846 0.9113 1.0973 0.9018 1.1089 0.8859 1.1288 7.206E-04 1388 8.402E-04 0.8577 1.1659 0.175 0.9304 1.0748 0.9198 1.0871 0.9102 1.0987 0.8943 1.1181 7.074E-04 1414 8.302E-04 0.8521 1.1736 0.200 0.9378 1.0663 0.9274 1.0783 0.9174 1.0900 0.9018 1.1089 6.975E-04 1434 8.239E-04 0.8466 1.1812 0.225 0.9444 1.0588 0.9341 1.0706 0.9236 1.0828 0.9084 1.1008 6.907E-04 1448 8.209E-04 0.8414 1.1885 0.250 0.9501 1.0525 0.9398 1.0641 0.9286 1.0769 0.9141 1.0940 6.867E-04 1456 8.211E-04 0.8363 1.1957 av 0.8645 1.1573 σ 0.0196 0.0262 cv% 2.27 2.27 Table A4 ρpt, Vpt, aP, 1/aP, βP, Vt=0 and ρt=0 of Lubricant 5~8

Lubricant 5 Temp.,℃ 40 60 80 100

a p , 1/a p , β P , V t=0 , ρt=0 , Pressure, ρ pt, ρ pt, ρ pt, ρ pt, V , cm3/g V , cm3/g V , cm3/g V , cm3/g (cm3/g)/K K･(g/cm3) 1/K cm3/g ｇ/cm3 GPa g/cm3 pt g/cm3 pt g/cm3 pt g/cm3 pt 0.000 0.9073 1.1021 0.8945 1.1180 0.8817 1.1342 0.8690 1.1507 8.102E-04 1234 9.550E-04 0.8484 1.1787 0.025 0.9199 1.0871 0.9081 1.1012 0.8950 1.1174 0.8834 1.1319 7.532E-04 1328 8.851E-04 0.8510 1.1751 0.050 0.9321 1.0728 0.9212 1.0855 0.9080 1.1013 0.8974 1.1144 7.020E-04 1425 8.233E-04 0.8527 1.1727 0.075 0.9435 1.0599 0.9332 1.0716 0.9202 1.0868 0.9102 1.0987 6.581E-04 1520 7.711E-04 0.8535 1.1716 0.100 0.9541 1.0482 0.9441 1.0592 0.9315 1.0736 0.9219 1.0848 6.207E-04 1611 7.272E-04 0.8535 1.1716 0.125 0.9638 1.0376 0.9540 1.0483 0.9420 1.0616 0.9324 1.0725 5.895E-04 1696 6.913E-04 0.8528 1.1726 0.150 0.9726 1.0282 0.9627 1.0388 0.9516 1.0509 0.9419 1.0617 5.637E-04 1774 6.620E-04 0.8515 1.1744 0.175 0.9806 1.0197 0.9703 1.0306 0.9604 1.0412 0.9502 1.0524 5.429E-04 1842 6.389E-04 0.8498 1.1767 0.200 0.9878 1.0123 0.9769 1.0237 0.9683 1.0327 0.9574 1.0445 5.270E-04 1898 6.218E-04 0.8475 1.1799 0.225 0.9941 1.0059 0.9823 1.0180 0.9754 1.0252 0.9635 1.0379 5.155E-04 1940 6.101E-04 0.8449 1.1836 0.250 0.9996 1.0004 0.9867 1.0135 0.9817 1.0187 0.9685 1.0325 5.082E-04 1968 6.036E-04 0.8419 1.1878 1.1450 0.8498 1.1768 σ 0.0038 0.0053 cv% 0.44 0.45

Lubricant 6 Temp.,℃ 40 60 80 100

a p , 1/a p , β P , V t=0 , ρt=0 , Pressure, ρ pt, ρ pt, ρ pt, ρ pt, V , cm3/g V , cm3/g V , cm3/g V , cm3/g (cm3/g)/K K･(g/cm3) 1/K cm3/g ｇ/cm3 GPa g/cm3 pt g/cm3 pt g/cm3 pt g/cm3 pt 0.000 0.9443 1.0590 0.9309 1.0742 0.9175 1.0899 0.9042 1.1059 7.822E-04 1278 9.609E-04 0.8140 1.2285 0.025 0.9576 1.0443 0.9447 1.0586 0.9314 1.0736 0.9184 1.0889 7.438E-04 1344 9.169E-04 0.8112 1.2327 0.050 0.9704 1.0305 0.9580 1.0439 0.9449 1.0583 0.9320 1.0730 7.091E-04 1410 8.774E-04 0.8082 1.2373 0.075 0.9822 1.0181 0.9702 1.0307 0.9573 1.0446 0.9445 1.0588 6.793E-04 1472 8.439E-04 0.8050 1.2422 0.100 0.9930 1.0070 0.9814 1.0190 0.9687 1.0323 0.9559 1.0462 6.538E-04 1530 8.153E-04 0.8019 1.2470 0.125 1.0028 0.9972 0.9914 1.0086 0.9789 1.0215 0.9661 1.0350 6.324E-04 1581 7.918E-04 0.7987 1.2520 0.150 1.0116 0.9885 1.0004 0.9996 0.9881 1.0120 0.9753 1.0254 6.147E-04 1627 7.727E-04 0.7955 1.2571 0.175 1.0194 0.9810 1.0084 0.9917 0.9962 1.0038 0.9833 1.0170 6.005E-04 1665 7.578E-04 0.7924 1.2620 0.200 1.0261 0.9745 1.0152 0.9850 1.0033 0.9967 0.9902 1.0099 5.894E-04 1697 7.466E-04 0.7894 1.2668 0.225 1.0319 0.9691 1.0210 0.9794 1.0093 0.9908 0.9959 1.0041 5.814E-04 1720 7.393E-04 0.7864 1.2716 0.250 1.0366 0.9647 1.0257 0.9750 1.0142 0.9860 1.0006 0.9994 5.763E-04 1735 7.355E-04 0.7836 1.2762 av 0.7988 1.2521 σ 0.0102 0.0160 cv% 1.28 1.28

Lubricant 7 Temp.,℃ 40 60 80 100

a p , 1/a p , β P , V t=0 , ρt=0 , Pressure, ρ pt, ρ pt, ρ pt, ρ pt, V , cm3/g V , cm3/g V , cm3/g V , cm3/g (cm3/g)/K K･(g/cm3) 1/K cm3/g ｇ/cm3 GPa g/cm3 pt g/cm3 pt g/cm3 pt g/cm3 pt 0.000 0.8027 1.2459 0.7900 1.2659 0.7773 1.2865 0.7646 1.3079 1.034E-03 967 1.122E-03 0.9217 1.0850 0.025 0.8156 1.2260 0.8034 1.2448 0.7912 1.2639 0.7799 1.2822 9.383E-04 1066 1.006E-03 0.9324 1.0725 0.050 0.8283 1.2073 0.8164 1.2249 0.8047 1.2426 0.7948 1.2582 8.520E-04 1174 9.054E-04 0.9410 1.0627 0.075 0.8400 1.1905 0.8286 1.2069 0.8173 1.2236 0.8085 1.2368 7.783E-04 1285 8.214E-04 0.9475 1.0554 0.100 0.8508 1.1754 0.8398 1.1908 0.8288 1.2066 0.8211 1.2178 7.156E-04 1397 7.515E-04 0.9522 1.0502 0.125 0.8607 1.1619 0.8501 1.1763 0.8393 1.1914 0.8326 1.2010 6.627E-04 1509 6.937E-04 0.9553 1.0468 0.150 0.8696 1.1499 0.8596 1.1634 0.8489 1.1780 0.8430 1.1863 6.187E-04 1616 6.464E-04 0.9572 1.0447 0.175 0.8777 1.1394 0.8681 1.1520 0.8574 1.1663 0.8522 1.1735 5.828E-04 1716 6.084E-04 0.9579 1.0440 0.200 0.8848 1.1302 0.8757 1.1419 0.8650 1.1561 0.8602 1.1625 5.542E-04 1804 5.787E-04 0.9576 1.0443 0.225 0.8910 1.1224 0.8824 1.1333 0.8716 1.1474 0.8672 1.1532 5.325E-04 1878 5.568E-04 0.9564 1.0456 0.250 0.8963 1.1157 0.8882 1.1259 0.8772 1.1401 0.8730 1.1455 5.173E-04 1933 5.420E-04 0.9544 1.0478 av 0.9485 1.0544 σ 0.0120 0.0135 cv% 1.26 1.28

Lubricant 8 Temp.,℃ 40 60 80 100

a p , 1/a p , β P , V t=0 , ρt=0 , Pressure, ρ pt, ρ pt, ρ pt, ρ pt, V , cm3/g V , cm3/g V , cm3/g V , cm3/g (cm3/g)/K K･(g/cm3) 1/K cm3/g ｇ/cm3 GPa g/cm3 pt g/cm3 pt g/cm3 pt g/cm3 pt 0.000 0.8308 1.2037 0.8182 1.2221 0.8056 1.2413 0.7930 1.2610 9.562E-04 1046 1.058E-03 0.9041 1.1061 0.025 0.8421 1.1875 0.8307 1.2038 0.8197 1.2200 0.8068 1.2394 8.591E-04 1164 9.358E-04 0.9180 1.0893 0.050 0.8531 1.1721 0.8429 1.1864 0.8333 1.2000 0.8204 1.2190 7.707E-04 1298 8.286E-04 0.9301 1.0752 0.075 0.8635 1.1581 0.8541 1.1708 0.8459 1.1822 0.8329 1.2006 6.938E-04 1441 7.381E-04 0.9400 1.0638 0.100 0.8730 1.1454 0.8646 1.1567 0.8573 1.1664 0.8446 1.1840 6.272E-04 1594 6.616E-04 0.9480 1.0549 0.125 0.8819 1.1339 0.8741 1.1440 0.8677 1.1525 0.8554 1.1691 5.700E-04 1754 5.972E-04 0.9544 1.0478 0.150 0.8900 1.1236 0.8828 1.1328 0.8770 1.1403 0.8652 1.1558 5.212E-04 1919 5.433E-04 0.9594 1.0423 0.175 0.8974 1.1144 0.8906 1.1228 0.8852 1.1297 0.8741 1.1441 4.801E-04 2083 4.985E-04 0.9631 1.0383 0.200 0.9040 1.1062 0.8975 1.1142 0.8923 1.1207 0.8820 1.1337 4.462E-04 2241 4.620E-04 0.9657 1.0355 0.225 0.9099 1.0990 0.9036 1.1067 0.8983 1.1132 0.8891 1.1248 4.189E-04 2387 4.331E-04 0.9672 1.0339 0.250 0.9151 1.0928 0.9088 1.1003 0.9033 1.1071 0.8952 1.1171 3.978E-04 2514 4.110E-04 0.9679 1.0332 av 0.9471 1.0564 σ 0.0216 0.0246 cv% 2.28 2.33 Table A5 ρpt, Vpt, aP, 1/aP, βP, Vt=0 and ρt=0 of Lubricant 9~12

Lubricant 9 Temp.,℃ 40 60 80 100

a p , 1/a p , β P , V t=0 , ρt=0 , Pressure, ρ pt, ρ pt, ρ pt, ρ pt, V , cm3/g V , cm3/g V , cm3/g V , cm3/g (cm3/g)/K K･(g/cm3) 1/K cm3/g ｇ/cm3 GPa g/cm3 pt g/cm3 pt g/cm3 pt g/cm3 pt 0.000 0.9732 1.0276 0.9578 1.0440 0.9424 1.0611 0.9270 1.0788 8.533E-04 1172 1.122E-03 0.7602 1.3154 0.025 0.9863 1.0139 0.9725 1.0283 0.9581 1.0438 0.9431 1.0603 7.742E-04 1292 1.004E-03 0.7710 1.2970 0.050 0.9992 1.0008 0.9868 1.0134 0.9733 1.0274 0.9588 1.0430 7.034E-04 1422 9.019E-04 0.7799 1.2822 0.075 1.0114 0.9887 1.0001 0.9999 0.9876 1.0126 0.9734 1.0273 6.431E-04 1555 8.176E-04 0.7866 1.2713 0.100 1.0229 0.9776 1.0124 0.9878 1.0007 0.9993 0.9869 1.0133 5.923E-04 1688 7.485E-04 0.7913 1.2637 0.125 1.0336 0.9675 1.0237 0.9769 1.0128 0.9874 0.9993 1.0007 5.502E-04 1818 6.926E-04 0.7944 1.2588 0.150 1.0435 0.9583 1.0340 0.9671 1.0238 0.9767 1.0106 0.9895 5.159E-04 1938 6.482E-04 0.7959 1.2564 0.175 1.0527 0.9499 1.0433 0.9585 1.0338 0.9673 1.0209 0.9796 4.890E-04 2045 6.142E-04 0.7961 1.2561 0.200 1.0612 0.9424 1.0517 0.9509 1.0426 0.9591 1.0300 0.9709 4.688E-04 2133 5.897E-04 0.7950 1.2579 0.225 1.0688 0.9356 1.0590 0.9443 1.0505 0.9520 1.0380 0.9634 4.550E-04 2198 5.740E-04 0.7927 1.2615 0.250 1.0758 0.9296 1.0654 0.9387 1.0572 0.9459 1.0450 0.9570 4.472E-04 2236 5.665E-04 0.7894 1.2668 av 0.7866 1.2716 σ 0.0117 0.0192 cv% 1.48 1.51

Lubricant 10 Temp.,℃ 40 60 80 100

a p , 1/a p , β P , V t=0 , ρt=0 , Pressure, ρ pt, ρ pt, ρ pt, ρ pt, V , cm3/g V , cm3/g V , cm3/g V , cm3/g (cm3/g)/K K･(g/cm3) 1/K cm3/g ｇ/cm3 GPa g/cm3 pt g/cm3 pt g/cm3 pt g/cm3 pt 0.000 0.9750 1.0257 0.9596 1.0421 0.9443 1.0589 0.9290 1.0764 8.452E-04 1183 1.111E-03 0.7609 1.3142 0.025 0.9881 1.0120 0.9739 1.0268 0.9594 1.0423 0.9456 1.0576 7.606E-04 1315 9.829E-04 0.7738 1.2923 0.050 1.0011 0.9989 0.9880 1.0121 0.9743 1.0264 0.9617 1.0398 6.860E-04 1458 8.750E-04 0.7840 1.2755 0.075 1.0135 0.9867 1.0014 0.9986 0.9884 1.0118 0.9766 1.0239 6.237E-04 1603 7.882E-04 0.7913 1.2637 0.100 1.0251 0.9755 1.0140 0.9862 1.0017 0.9983 0.9904 1.0097 5.726E-04 1746 7.193E-04 0.7960 1.2563 0.125 1.0360 0.9653 1.0259 0.9748 1.0142 0.9860 1.0030 0.9970 5.315E-04 1881 6.657E-04 0.7984 1.2525 0.150 1.0462 0.9559 1.0370 0.9643 1.0259 0.9748 1.0145 0.9857 4.998E-04 2001 6.258E-04 0.7987 1.2520 0.175 1.0557 0.9473 1.0474 0.9548 1.0368 0.9645 1.0248 0.9758 4.766E-04 2098 5.979E-04 0.7971 1.2545 0.200 1.0645 0.9394 1.0570 0.9461 1.0469 0.9552 1.0339 0.9672 4.615E-04 2167 5.815E-04 0.7937 1.2599 0.225 1.0725 0.9324 1.0658 0.9382 1.0563 0.9467 1.0419 0.9598 4.540E-04 2203 5.757E-04 0.7886 1.2681 0.250 1.0799 0.9260 1.0740 0.9311 1.0648 0.9391 1.0487 0.9536 4.537E-04 2204 5.803E-04 0.7819 1.2789 av 0.7877 1.2698 σ 0.0118 0.0194 cv% 1.50 1.53

Lubricant 11 Temp.,℃ 40 60 80 100

a p , 1/a p , β P , V t=0 , ρt=0 , Pressure, ρ pt, V pt, ρ pt, V pt, ρ pt, V pt, ρ pt, V pt, (cm3/g)/K K･(g/cm3) 1/K cm3/g ｇ/cm3 GPa g/cm3 cm3/g g/cm3 cm3/g g/cm3 cm3/g g/cm3 cm3/g 0.000 0.9053 1.1046 0.8905 1.1230 0.8757 1.1420 0.8609 1.1616 9.497E-04 1053 1.177E-03 0.8070 1.2392 0.025 0.9213 1.0854 0.9061 1.1036 0.8932 1.1195 0.8790 1.1377 8.639E-04 1158 1.060E-03 0.8152 1.2267 0.050 0.9368 1.0675 0.9214 1.0854 0.9102 1.0987 0.8964 1.1156 7.884E-04 1268 9.598E-04 0.8214 1.2174 0.075 0.9511 1.0514 0.9354 1.0690 0.9258 1.0802 0.9124 1.0960 7.250E-04 1379 8.783E-04 0.8255 1.2114 0.100 0.9642 1.0372 0.9484 1.0544 0.9400 1.0639 0.9269 1.0788 6.725E-04 1487 8.123E-04 0.8279 1.2079 0.125 0.9761 1.0245 0.9603 1.0414 0.9528 1.0495 0.9400 1.0638 6.297E-04 1588 7.598E-04 0.8288 1.2066 0.150 0.9867 1.0135 0.9710 1.0299 0.9643 1.0370 0.9517 1.0508 5.955E-04 1679 7.188E-04 0.8285 1.2070 0.175 0.9962 1.0038 0.9806 1.0198 0.9744 1.0263 0.9619 1.0396 5.692E-04 1757 6.882E-04 0.8271 1.2090 0.200 1.0044 0.9956 0.9891 1.0110 0.9831 1.0171 0.9706 1.0302 5.502E-04 1818 6.671E-04 0.8248 1.2124 0.225 1.0115 0.9887 0.9964 1.0036 0.9905 1.0096 0.9780 1.0225 5.380E-04 1859 6.549E-04 0.8215 1.2173 0.250 1.0173 0.9830 1.0027 0.9973 0.9965 1.0035 0.9838 1.0164 5.323E-04 1879 6.511E-04 0.8175 1.2232 av 0.8223 1.2162 σ 0.0068 0.0101 cv% 0.83 0.83

Lubricant 12 Temp.,℃ 40 60 80 100

a p , 1/a p , β P , V t=0 , ρt=0 , Pressure, ρ pt, V pt, ρ pt, V pt, ρ pt, V pt, ρ pt, V pt, (cm3/g)/K K･(g/cm3) 1/K cm3/g ｇ/cm3 GPa g/cm3 cm3/g g/cm3 cm3/g g/cm3 cm3/g g/cm3 cm3/g 0.000 0.9259 1.0801 0.9113 1.0974 0.8967 1.1152 0.8821 1.1337 8.934E-04 1119 1.117E-03 0.8001 1.2498 0.025 0.9416 1.0620 0.9272 1.0785 0.9143 1.0938 0.9020 1.1086 7.752E-04 1290 9.456E-04 0.8198 1.2198 0.050 0.9563 1.0457 0.9422 1.0614 0.9306 1.0746 0.9204 1.0865 6.787E-04 1473 8.135E-04 0.8343 1.1986 0.075 0.9700 1.0310 0.9561 1.0460 0.9456 1.0575 0.9370 1.0672 6.016E-04 1662 7.127E-04 0.8441 1.1847 0.100 0.9825 1.0178 0.9689 1.0321 0.9593 1.0424 0.9520 1.0505 5.418E-04 1846 6.376E-04 0.8498 1.1767 0.125 0.9941 1.0060 0.9807 1.0197 0.9717 1.0291 0.9652 1.0360 4.975E-04 2010 5.839E-04 0.8521 1.1736 0.150 1.0045 0.9955 0.9914 1.0087 0.9828 1.0175 0.9768 1.0238 4.672E-04 2140 5.489E-04 0.8511 1.1750 0.175 1.0139 0.9863 1.0010 0.9990 0.9926 1.0075 0.9867 1.0135 4.499E-04 2223 5.310E-04 0.8472 1.1804 0.200 1.0222 0.9783 1.0096 0.9905 1.0011 0.9989 0.9949 1.0051 4.448E-04 2248 5.291E-04 0.8407 1.1895 0.225 1.0294 0.9714 1.0171 0.9832 1.0082 0.9919 1.0014 0.9986 4.512E-04 2216 5.426E-04 0.8315 1.2026 0.250 1.0356 0.9656 1.0235 0.9770 1.0140 0.9862 1.0062 0.9938 4.687E-04 2134 5.717E-04 0.8199 1.2197 av 0.8355 1.1973 σ 0.0165 0.0241 cv% 1.97 2.01 Table A6 ρpt, Vpt, aP, 1/aP, βP, Vt=0 and ρt=0 of Lubricant 13~16 Lubricant 13 Temp.,℃ 40 60 80 100

a p , 1/a p , β P , V t=0 , ρt=0 , Pressure, ρ pt , V pt, ρ pt , V pt, ρ pt , V pt, ρ pt , V pt, (cm3/g)/K K･(g/cm3) 1/K cm3/g ｇ/cm3 GPa g/cm3 cm3/g g/cm3 cm3/g g/cm3 cm3/g g/cm3 cm3/g 0.000 0.8962 1.1159 0.8824 1.1333 0.8686 1.1512 0.8548 1.1699 9.004E-04 1111 1.080E-03 0.8337 1.1995 0.025 0.9094 1.0996 0.8964 1.1156 0.8833 1.1321 0.8704 1.1489 8.219E-04 1217 9.760E-04 0.8421 1.1875 0.050 0.9223 1.0842 0.9100 1.0989 0.8977 1.1140 0.8855 1.1293 7.519E-04 1330 8.859E-04 0.8487 1.1783 0.075 0.9343 1.0703 0.9226 1.0839 0.9109 1.0978 0.8994 1.1118 6.925E-04 1444 8.115E-04 0.8534 1.1718 0.100 0.9454 1.0577 0.9342 1.0704 0.9232 1.0832 0.9122 1.0963 6.426E-04 1556 7.503E-04 0.8565 1.1675 0.125 0.9556 1.0465 0.9448 1.0584 0.9344 1.0703 0.9237 1.0826 6.014E-04 1663 7.009E-04 0.8581 1.1654 0.150 0.9649 1.0364 0.9544 1.0477 0.9445 1.0587 0.9341 1.0706 5.680E-04 1761 6.615E-04 0.8586 1.1647 0.175 0.9732 1.0275 0.9630 1.0384 0.9537 1.0486 0.9432 1.0602 5.418E-04 1846 6.316E-04 0.8578 1.1658 0.200 0.9807 1.0197 0.9706 1.0302 0.9617 1.0398 0.9512 1.0513 5.222E-04 1915 6.100E-04 0.8561 1.1681 0.225 0.9872 1.0129 0.9772 1.0233 0.9688 1.0322 0.9580 1.0439 5.089E-04 1965 5.963E-04 0.8535 1.1716 0.250 0.9929 1.0072 0.9829 1.0174 0.9748 1.0258 0.9635 1.0378 5.016E-04 1994 5.901E-04 0.8500 1.1765 av 0.8517 1.1742 σ 0.0078 0.0108 cv% 0.91 0.92

Lubricant 14 Temp.,℃ 40 60 80 100

a p , 1/a p , β P , V t=0 , ρt=0 , Pressure, ρ pt , V pt, ρ pt , V pt, ρ pt , V pt, ρ pt , V pt, (cm3/g)/K K･(g/cm3) 1/K cm3/g ｇ/cm3 GPa g/cm3 cm3/g g/cm3 cm3/g g/cm3 cm3/g g/cm3 cm3/g 0.000 0.9470 1.0559 0.9329 1.0719 0.9189 1.0883 0.9049 1.1051 8.194E-04 1220 1.025E-03 0.7992 1.2513 0.025 0.9615 1.0400 0.9479 1.0549 0.9344 1.0702 0.9212 1.0855 7.589E-04 1318 9.458E-04 0.8024 1.2463 0.050 0.9755 1.0251 0.9625 1.0389 0.9495 1.0532 0.9371 1.0672 7.021E-04 1424 8.718E-04 0.8053 1.2418 0.075 0.9884 1.0117 0.9761 1.0245 0.9636 1.0377 0.9518 1.0507 6.509E-04 1536 8.057E-04 0.8079 1.2378 0.100 1.0003 0.9997 0.9886 1.0115 0.9767 1.0238 0.9653 1.0359 6.046E-04 1654 7.461E-04 0.8104 1.2340 0.125 1.0110 0.9891 1.0002 0.9998 0.9888 1.0114 0.9777 1.0228 5.626E-04 1777 6.922E-04 0.8128 1.2303 0.150 1.0207 0.9797 1.0106 0.9895 0.9998 1.0002 0.9890 1.0111 5.245E-04 1907 6.434E-04 0.8152 1.2267 0.175 1.0293 0.9716 1.0201 0.9803 1.0098 0.9903 0.9991 1.0009 4.898E-04 2042 5.989E-04 0.8178 1.2228 0.200 1.0368 0.9645 1.0285 0.9723 1.0188 0.9816 1.0081 0.9920 4.582E-04 2182 5.585E-04 0.8204 1.2189 0.225 1.0432 0.9586 1.0359 0.9653 1.0267 0.9740 1.0159 0.9843 4.293E-04 2329 5.214E-04 0.8233 1.2146 0.250 1.0485 0.9537 1.0423 0.9594 1.0337 0.9674 1.0226 0.9779 4.029E-04 2482 4.875E-04 0.8264 1.2101 av 0.8128 1.2304 σ 0.0087 0.0132 cv% 1.07 1.07

Lubricant 15 Temp.,℃ 40 60 80 100

a p , 1/a p , β P , V t=0 , ρt=0 , Pressure, ρ pt , V pt, ρ pt , V pt, ρ pt , V pt, ρ pt , V pt, (cm3/g)/K K･(g/cm3) 1/K cm3/g ｇ/cm3 GPa g/cm3 cm3/g g/cm3 cm3/g g/cm3 cm3/g g/cm3 cm3/g 0.000 0.8568 1.1672 0.8435 1.1855 0.8303 1.2043 0.8170 1.2241 9.476E-04 1055 1.089E-03 0.8702 1.1492 0.025 0.8680 1.1521 0.8558 1.1685 0.8427 1.1867 0.8300 1.2049 8.822E-04 1134 1.008E-03 0.8755 1.1422 0.050 0.8790 1.1376 0.8679 1.1523 0.8549 1.1697 0.8428 1.1865 8.202E-04 1219 9.320E-04 0.8800 1.1364 0.075 0.8895 1.1243 0.8791 1.1375 0.8665 1.1540 0.8549 1.1697 7.640E-04 1309 8.640E-04 0.8843 1.1308 0.100 0.8993 1.1119 0.8895 1.1242 0.8775 1.1396 0.8663 1.1543 7.129E-04 1403 8.028E-04 0.8880 1.1261 0.125 0.9086 1.1006 0.8991 1.1122 0.8878 1.1264 0.8770 1.1403 6.665E-04 1500 7.478E-04 0.8913 1.1220 0.150 0.9173 1.0902 0.9080 1.1014 0.8974 1.1143 0.8869 1.1275 6.242E-04 1602 6.981E-04 0.8942 1.1183 0.175 0.9253 1.0807 0.9160 1.0917 0.9064 1.1032 0.8961 1.1159 5.857E-04 1707 6.530E-04 0.8970 1.1148 0.200 0.9328 1.0720 0.9232 1.0832 0.9148 1.0931 0.9046 1.1054 5.507E-04 1816 6.122E-04 0.8995 1.1117 0.225 0.9397 1.0642 0.9296 1.0757 0.9225 1.0840 0.9124 1.0960 5.189E-04 1927 5.753E-04 0.9020 1.1086 0.250 0.9460 1.0571 0.9353 1.0692 0.9296 1.0758 0.9195 1.0876 4.900E-04 2041 5.419E-04 0.9043 1.1058 av 0.8897 1.1242 σ 0.0112 0.0142 cv% 1.25 1.26

Lubricant 16 Temp.,℃ 40 60 80 100

a p , 1/a p , β P , V t=0 , ρt=0 , Pressure, ρ pt , V pt, ρ pt , V pt, ρ pt , V pt, ρ pt , V pt, (cm3/g)/K K･(g/cm3) 1/K cm3/g ｇ/cm3 GPa g/cm3 cm3/g g/cm3 cm3/g g/cm3 cm3/g g/cm3 cm3/g 0.000 0.8528 1.1726 0.8398 1.1908 0.8268 1.2094 0.8138 1.2288 9.376E-04 1067 1.067E-03 0.8788 1.1379 0.025 0.8654 1.1556 0.8534 1.1718 0.8414 1.1885 0.8294 1.2057 8.355E-04 1197 9.348E-04 0.8938 1.1188 0.050 0.8777 1.1394 0.8666 1.1539 0.8556 1.1688 0.8445 1.1841 7.456E-04 1341 8.231E-04 0.9058 1.1040 0.075 0.8892 1.1247 0.8789 1.1378 0.8687 1.1512 0.8584 1.1649 6.706E-04 1491 7.332E-04 0.9146 1.0934 0.100 0.8999 1.1113 0.8903 1.1232 0.8808 1.1354 0.8712 1.1478 6.089E-04 1642 6.614E-04 0.9206 1.0862 0.125 0.9097 1.0992 0.9008 1.1102 0.8918 1.1214 0.8828 1.1328 5.593E-04 1788 6.053E-04 0.9240 1.0823 0.150 0.9188 1.0883 0.9103 1.0985 0.9018 1.1089 0.8932 1.1196 5.206E-04 1921 5.626E-04 0.9253 1.0807 0.175 0.9271 1.0786 0.9189 1.0882 0.9107 1.0981 0.9024 1.1081 4.920E-04 2033 5.322E-04 0.9245 1.0817 0.200 0.9346 1.0699 0.9266 1.0792 0.9186 1.0887 0.9105 1.0983 4.727E-04 2116 5.127E-04 0.9219 1.0847 0.225 0.9414 1.0623 0.9334 1.0714 0.9254 1.0806 0.9174 1.0900 4.623E-04 2163 5.039E-04 0.9175 1.0899 0.250 0.9473 1.0557 0.9392 1.0647 0.9312 1.0739 0.9231 1.0833 4.603E-04 2172 5.050E-04 0.9115 1.0971 av 0.9126 1.0961 σ 0.0147 0.0180 cv% 1.61 1.64 2.0 2.0 2.0 n-Pentane n-Octane n-Decane 1.8 1.8 1.8

1.6 1.6 1.6

/g 1.4

/g 1.4 /g 1.4 3 3 3 , cm

1.2 , cm , cm pt 1.2 1.2 pt pt V V V 1.0 0.000GPa 0.025GPa 0.050GPa 0.075GPa 1.0 0.000GPa 0.025GPa 1.0 0.000GPa 0.025GPa 0.100GPa 0.125GPa 0.050GPa 0.075GPa 0.050GPa 0.075GPa 0.8 0.150GPa 0.175GPa 0.100GPa 0.125GPa 0.8 0.100GPa 0.125GPa 0.8 0.200GPa 0.225GPa 0.150GPa 0.175GPa 0.150GPa 0.175GPa 0.250GPa 0.200GPa 0.225GPa 0.6 0.200GPa 0.225GPa 0.250GPa 0 100 200 300 400 500 600 0.6 0.6 T, K 0 100 200 300 400 500 600 0 100 200 300 400 500 600 T, K T, K

2.0 2.0 2.0 n-Hexadecane n-Octadecane n-Eicosane 1.8 1.8 1.8

1.6 1.6 1.6 /g /g 1.4 1.4 /g 1.4 3 3 3 , cm , cm 1.2 , cm 1.2 pt 1.2 pt pt V V V 0.000GPa 0.025GPa 1.0 0.000GPa 0.025GPa 1.0 1.0 0.000GPa 0.025GPa 0.050GPa 0.075GPa 0.050GPa 0.075GPa 0.100GPa 0.125GPa 0.050GPa 0.075GPa 0.100GPa 0.125GPa 0.100GPa 0.125GPa 0.8 0.150GPa 0.175GPa 0.8 0.150GPa 0.175GPa 0.8 0.200GPa 0.225GPa 0.200GPa 0.225GPa 0.150GPa 0.175GPa 0.250GPa 0.250GPa 0.200GPa 0.225GPa 0.6 0.6 0.6 0 100 200 300 400 500 600 0 100 200 300 400 500 600 0 100 200 300 400 500 600 T, K T, K T, K

2.0 2.0 2.0 2,2,4-Trimethylpentane Toluene Lubricant 1 1.8 1.8 1.8 0.000GPa 0.025GPa 0.000GPa 0.025GPa 0.050GPa 0.075GPa 0.050GPa 0.075GPa 1.6 1.6 0.100GPa 0.125GPa 1.6 0.100GPa 0.125GPa 0.150GPa 0.175GPa 0.150GPa 0.175GPa 0.200GPa 0.225GPa 0.200GPa 0.225GPa /g /g 1.4 /g 1.4 1.4 0.250GPa

0.250GPa 3 3 3 , cm , cm , cm 1.2 1.2 1.2 pt pt pt V V V

1.0 0.000GPa 0.025GPa 1.0 1.0 0.050GPa 0.075GPa 0.100GPa 0.125GPa 0.8 0.150GPa 0.175GPa 0.8 0.8 0.200GPa 0.225GPa 0.250GPa 0.6 0.6 0.6 0 100 200 300 400 500 600 0 100 200 300 400 500 600 0 100 200 300 400 500 600 T, K T, K T, K

2.0 2.0 2.0 Lubricant 2 Lubricant 3 Lubricant 4 1.8 1.8 1.8 0.000GPa 0.025GPa 0.000GPa 0.025GPa 0.000GPa 0.025GPa 0.050GPa 0.075GPa 0.050GPa 0.075GPa 1.6 0.050GPa 0.075GPa 1.6 1.6 0.100GPa 0.125GPa 0.100GPa 0.125GPa 0.100GPa 0.125GPa 0.150GPa 0.175GPa 0.150GPa 0.175GPa 0.150GPa 0.175GPa 0.200GPa 0.225GPa 0.200GPa 0.225GPa /g 1.4 0.200GPa 0.225GPa /g 1.4 /g 1.4

3 3 0.250GPa 3 0.250GPa 0.250GPa

, cm 1.2 , cm 1.2 , cm 1.2 pt pt pt V V V

1.0 1.0 1.0

0.8 0.8 0.8

0.6 0.6 0.6 0 100 200 300 400 500 600 0 100 200 300 400 500 600 0 100 200 300 400 500 600 T, K T, K T, K

Fig. A1 V-T charts of n-Pentane, n-Octne, n-Decane, n-Hexadecan, n-Octadecane, n-Eicosane, 2,2,4-trimethylpentane,Toluene and Lubricant 1〜4

2.0 2.0 2.0 Lubricant 5 Lubricant 6 Lubricant 7 1.8 1.8 1.8 0.000GPa 0.025GPa 0.000GPa 0.025GPa 0.000GPa 0.025GPa 0.050GPa 0.075GPa 0.050GPa 0.075GPa 1.6 1.6 0.050GPa 0.075GPa 1.6 0.100GPa 0.125GPa 0.100GPa 0.125GPa 0.100GPa 0.125GPa 0.150GPa 0.175GPa 0.150GPa 0.175GPa 0.150GPa 0.175GPa 0.200GPa 0.225GPa 0.200GPa 0.225GPa

/g 0.200GPa 0.225GPa 1.4 /g 1.4 /g 1.4 3 0.250GPa 3 0.250GPa 3 0.250GPa , cm 1.2 , cm , cm pt 1.2 1.2 pt pt V V V

1.0 1.0 1.0

0.8 0.8 0.8

0.6 0.6 0.6 0 100 200 300 400 500 600 0 100 200 300 400 500 600 0 100 200 300 400 500 600 T, K T, K T, K

2.0 2.0 2.0 Lubricant 8 Lubricant 9 Lubricant 10 1.8 1.8 1.8 0.000GPa 0.025GPa 0.000GPa 0.025GPa 0.000GPa 0.025GPa 0.050GPa 0.075GPa 0.050GPa 0.075GPa 1.6 1.6 1.6 0.050GPa 0.075GPa 0.100GPa 0.125GPa 0.100GPa 0.125GPa 0.100GPa 0.125GPa 0.150GPa 0.175GPa 0.150GPa 0.175GPa 0.150GPa 0.175GPa 0.200GPa 0.225GPa 0.200GPa 0.225GPa 0.200GPa 0.225GPa /g /g 1.4 /g 1.4 1.4 3 3 0.250GPa 3 0.250GPa 0.250GPa , cm , cm 1.2 , cm 1.2 pt 1.2 pt pt V V V

1.0 1.0 1.0

0.8 0.8 0.8

0.6 0.6 0.6 0 100 200 300 400 500 600 0 100 200 300 400 500 600 0 100 200 300 400 500 600 T, K T, K T, K

2.0 2.0 2.0 Lubricant 11 Lubricant 12 Lubricant 13 1.8 1.8 1.8 0.000GPa 0.025GPa 0.000GPa 0.025GPa 0.000GPa 0.025GPa 0.050GPa 0.075GPa 0.050GPa 0.075GPa 0.050GPa 0.075GPa 1.6 0.100GPa 0.125GPa 1.6 0.100GPa 0.125GPa 1.6 0.100GPa 0.125GPa 0.150GPa 0.175GPa 0.150GPa 0.175GPa 0.150GPa 0.175GPa 0.200GPa 0.225GPa 0.200GPa 0.225GPa 0.200GPa 0.225GPa /g /g 1.4 /g 1.4 1.4 3 3 0.250GPa 3 0.250GPa 0.250GPa , cm , cm , cm 1.2 1.2 1.2 pt pt pt V V V

1.0 1.0 1.0

0.8 0.8 0.8

0.6 0.6 0.6 0 100 200 300 400 500 600 0 100 200 300 400 500 600 0 100 200 300 400 500 600 T, K T, K T, K

2.0 2.0 2.0 Lubricant 14 Lubricant 15 Lubricant 16 1.8 1.8 1.8 0.000GPa 0.025GPa 0.000GPa 0.025GPa 0.000GPa 0.025GPa 0.050GPa 0.075GPa 0.050GPa 0.075GPa 1.6 0.050GPa 0.075GPa 1.6 1.6 0.100GPa 0.125GPa 0.100GPa 0.125GPa 0.100GPa 0.125GPa 0.150GPa 0.175GPa 0.150GPa 0.175GPa 0.150GPa 0.175GPa 0.200GPa 0.225GPa 0.200GPa 0.225GPa 0.200GPa 0.225GPa /g 1.4 /g 1.4 /g 1.4

3 0.250GPa 3 0.250GPa 3 0.250GPa

, cm 1.2 , cm 1.2 , cm 1.2 pt pt pt V V V

1.0 1.0 1.0

0.8 0.8 0.8

0.6 0.6 0.6 0 100 200 300 400 500 600 0 100 200 300 400 500 600 0 100 200 300 400 500 600 T, K T, K T, K

Fig. A2 V-T charts of Lubricant 5〜16

3000 3000 3000 n-Pentane n-Octane n-Decane

2000 2000 2000 3 3 3 g/cm g/cm g/cm ･･･

, K y = 4108 x + 830 p 1000 , K , K p p a 1000 1000 a a 1/ 1/ y = 2978 x + 760 1/ y = 2243 x + 529

0 0.00 0.05 0.10 0.15 0.20 0.25 0.30 0 0 P, GPa 0.00 0.05 0.10 0.15 0.20 0.25 0.30 0.00 0.05 0.10 0.15 0.20 0.25 0.30 P, GPa P, GPa

3000 3000 3000 n-Hexadecane n-Octadecane n-Eicosane

2000 2000 2000 3 3 3 g/cm g/cm g/cm ･･･ y = 4451 x + 1059 , K , K , K p p 1000 1000 p 1000 a a y = 3193 x + 853 a 1/ 1/ y = 4152 x + 855 1/

0 0 0 0.00 0.05 0.10 0.15 0.20 0.25 0.30 0.00 0.05 0.10 0.15 0.20 0.25 0.30 0.00 0.05 0.10 0.15 0.20 0.25 0.30 P, GPa P, GPa P, GPa

3000 3000 3000 2,2,4-Trimeyhlpentane Toluene Lubricant 1

2000 2000 2000 3 3 3 g/cm g/cm g/cm ･･･ , K , K , K y = 2876 x + 1037 p p 1000 p 1000 1000 a a a y = 4058 x + 746 1/ 1/

y = 3184 x + 739 1/

0 0 0 0.00 0.05 0.10 0.15 0.20 0.25 0.30 0.00 0.05 0.10 0.15 0.20 0.25 0.30 0.00 0.05 0.10 0.15 0.20 0.25 0.30 P, GPa P, GPa P, GPa

3000 3000 3000 Lubricant 2 Lubricant 3 Lubricant 4

2000 2000 2000 3 3 3 g/cm g/cm g/cm ･･ y = 5566 x + 998 ･ , K , K , K p p 1000 p 1000 1000 a a a 1/ 1/ 1/

y = 1808 x + 970 y = 1307 x + 1168 0 0 0 0.00 0.05 0.10 0.15 0.20 0.25 0.30 0.00 0.05 0.10 0.15 0.20 0.25 0.30 0.00 0.05 0.10 0.15 0.20 0.25 0.30 P, GPa P, GPa P, GPa

Fig. A3 1/αp-P charts of n-Pentane, n-Octne, n-Decane, n-Hexadecan, n-Octadecane, n-Eicosane, 2,2,4-trimethylpentane,Toluene and Lubricant 1〜4

3000 3000 3000 Lubricant 5 Lubricant 6 Lubricant 7

2000 2000 2000 3 3 3 g/cm g/cm g/cm ･･ y = 3034 x + 1278 ･ , K , K , K p p 1000 p 1000 1000 a a a 1/ 1/ 1/ y = 4019 x + 984 y = 1865 x + 1318

0 0 0 0.00 0.05 0.10 0.15 0.20 0.25 0.30 0.00 0.05 0.10 0.15 0.20 0.25 0.30 0.00 0.05 0.10 0.15 0.20 0.25 0.30 P, GPa P, GPa P, GPa

3000 3000 3000 Lubricant 8 Lubricant 9 Lubricant 10

2000 2000 2000 3 3 3 g/cm g/cm y = 4476 x + 1213 g/cm ･･ y = 6062 x + 1010 ･ y = 4374 x + 1259 , K , K , K p p 1000 1000 p 1000 a a a 1/ 1/ 1/

0 0 0 0.00 0.05 0.10 0.15 0.20 0.25 0.30 0.00 0.05 0.10 0.15 0.20 0.25 0.30 0.00 0.05 0.10 0.15 0.20 0.25 0.30 P, GPa P, GPa P, GPa

3000 3000 3000 Lubricant 11 Lubricant 12 Lubricant 13

2000 2000 2000 3 3 3 g/cm g/cm g/cm ･･･ y = 4551 x + 1282 y = 3699 x + 1156 , K , K , K p p p 1000 1000 1000 a a a 1/ 1/ 1/ y = 3465 x + 1105

0 0 0 0.00 0.05 0.10 0.15 0.20 0.25 0.30 0.00 0.05 0.10 0.15 0.20 0.25 0.30 0.00 0.05 0.10 0.15 0.20 0.25 0.30 P, GPa P, GPa P, GPa

3000 3000 3000 Lubricant 14 Lubricant 15 Lubricant 16

2000 2000 2000 3 3 3 g/cm g/cm g/cm ･･･ y = 5052 x + 1175 y = 4756 x + 1126 , K , K , K p p p 1000 1000 1000 a a a y = 3959 x + 1024 1/ 1/ 1/

0 0 0 0.00 0.05 0.10 0.15 0.20 0.25 0.30 0.00 0.05 0.10 0.15 0.20 0.25 0.30 0.00 0.05 0.10 0.15 0.20 0.25 0.30 P, GPa P, GPa P, GPa

Fig. A4 1/αp-P charts of Lubricant 5〜16

2.0 2.0 2.0 n-Pentane n-Octane n-Decane 1.8 1.8 1.8 fig. using V (av) fig. using Vt=0(av) fig. using Vt=0 (av) t=0 1.6 1.6 1.6

/g 1.4

/g 1.4 /g 1.4 3 3 3 , cm

2.0 2.0 2.0 n-Hexadecane n-Octadecane n-Eicosane 1.8 1.8 1.8 fig. using V (av) fig. using Vt=0(av) fig. using Vt=0 (av) t=0 1.6 1.6 1.6

/g 1.4

/g 1.4 /g 1.4 3 3 3 , cm

, cm 1.2 , cm 1.2 pt 1.2 pt pt V V V 1.0 0.000GPa 0.025GPa 1.0 0.000GPa 0.025GPa 0.050GPa 0.075GPa 1.0 0.000GPa 0.025GPa 0.050GPa 0.075GPa 0.100GPa 0.125GPa 0.050GPa 0.075GPa 0.100GPa 0.125GPa 0.8 0.150GPa 0.175GPa 0.100GPa 0.125GPa 0.8 0.150GPa 0.175GPa 0.8 0.200GPa 0.225GPa 0.150GPa 0.175GPa 0.200GPa 0.225GPa 0.250GPa 0.250GPa 0.6 0.200GPa 0.225GPa 0.6 0 100 200 300 400 500 600 0.6 0 100 200 300 400 500 600 T, K 0 100 200 300 400 500 600 T, K T, K

2.0 2.0 2.0 2,2,4-Trimethylpropane Toluene Lubricant 1 1.8 1.8 1.8 fig. using Vt=0(av) 0.000GPa 0.025GPa 0.000GPa 0.025GPa 0.050GPa 0.075GPa 0.050GPa 0.075GPa 1.6 1.6 0.100GPa 0.125GPa 1.6 0.100GPa 0.125GPa 0.150GPa 0.175GPa 0.150GPa 0.175GPa 0.200GPa 0.225GPa 0.200GPa 0.225GPa /g /g 1.4 1.4 0.250GPa /g 1.4 0.250GPa 3 3 3 , cm , cm 1.2 1.2 , cm pt pt 1.2 pt V V V

1.0 0.000GPa 0.025GPa 1.0 1.0 0.050GPa 0.075GPa 0.100GPa 0.125GPa 0.8 0.150GPa 0.175GPa 0.8 0.8 0.200GPa 0.225GPa fig. using Vt=0 (av) fig. using V (av) 0.250GPa t=0 0.6 0.6 0.6 0 100 200 300 400 500 600 0 100 200 300 400 500 600 0 100 200 300 400 500 600 T, K T, K T, K

3 3 0.250GPa 3 0.250GPa 0.250GPa

, cm 1.2 , cm 1.2 , cm 1.2 pt pt pt V V V

1.0 1.0 1.0

0.8 0.8 0.8 fig. using V (av) fig. using Vt=0(av) fig. using Vt=0 (av) t=0 0.6 0.6 0.6 0 100 200 300 400 500 600 0 100 200 300 400 500 600 0 100 200 300 400 500 600 T, K T, K T, K

Fig. A5 V-T charts of n-Pentane, n-Octne, n-Decane, n-Hexadecan, n-Octadecane, n-Eicosane,

2,2,4-trimethylpentane,Toluene and Lubricant 1〜4 using Vt=0(av)

/g 0.200GPa 0.225GPa 1.4 /g 1.4 /g 1.4 3 0.250GPa 3 0.250GPa 3 0.250GPa , cm 1.2 , cm , cm pt 1.2 1.2 pt pt V V V

1.0 1.0 1.0

0.8 0.8 0.8 fig. using V (av) fig. using V (av) t=0 t=0 fig. using Vt=0(av) 0.6 0.6 0.6 0 100 200 300 400 500 600 0 100 200 300 400 500 600 0 100 200 300 400 500 600 T, K T, K T, K

2.0 2.0 2.0 Lubricant 8 Lubricant 9 Lubricant 10 1.8 1.8 1.8 0.000GPa 0.025GPa 0.000GPa 0.025GPa 0.000GPa 0.025GPa 0.050GPa 0.075GPa 0.050GPa 0.075GPa 1.6 1.6 1.6 0.050GPa 0.075GPa 0.100GPa 0.125GPa 0.100GPa 0.125GPa 0.100GPa 0.125GPa 0.150GPa 0.175GPa 0.150GPa 0.175GPa 0.150GPa 0.175GPa 0.200GPa 0.225GPa 0.200GPa 0.225GPa 0.200GPa 0.225GPa /g /g 1.4 1.4 /g 1.4 3 3 0.250GPa 0.250GPa 3 0.250GPa , cm , cm 1.2 , cm 1.2 pt 1.2 pt pt V V V

1.0 1.0 1.0

0.8 0.8 0.8

fig. using Vt=0(av) fig. using Vt=0 (av) fig. using Vt=0(av) 0.6 0.6 0.6 0 100 200 300 400 500 600 0 100 200 300 400 500 600 0 100 200 300 400 500 600 T, K T, K T, K

1.0 1.0 1.0

0.8 0.8 0.8 fig. using Vt=0(av) fig. using Vt=0 (av) fig. using Vt=0(av) 0.6 0.6 0.6 0 100 200 300 400 500 600 0 100 200 300 400 500 600 0 100 200 300 400 500 600 T, K T, K T, K

3 0.250GPa 3 0.250GPa 3 0.250GPa

, cm 1.2 , cm 1.2 , cm 1.2 pt pt pt V V V

1.0 1.0 1.0

0.8 0.8 0.8 fig. using V (av) fig. using Vt=0(av) fig. using Vt=0 (av) t=0 0.6 0.6 0.6 0 100 200 300 400 500 600 0 100 200 300 400 500 600 0 100 200 300 400 500 600 T, K T, K T, K

Fig. A6 V-T charts of Lubricant 11〜16 using Vt=0(av)

3000 3000 3000 n-Pentane n-Octane n-Decane fig. using V (av) fig. using Vt=0(av) fig. using Vt=0 (av) t=0 2000 2000 2000 3 3 3 g/cm g/cm g/cm ･･･ , K p 1000 , K , K y = 3842 x + 857 p p a 1000 1000 a a 1/

1/ y = 2984 x + 762 1/ y = 2041 x + 553

0 0.00 0.05 0.10 0.15 0.20 0.25 0.30 0 0 P, GPa 0.00 0.05 0.10 0.15 0.20 0.25 0.30 0.00 0.05 0.10 0.15 0.20 0.25 0.30 P, GPa P, GPa

3000 3000 3000 n-Hexadecane n-Octadecane n-Eicosane fig. using V (av) fig. using Vt=0(av) fig. using Vt=0 (av) t=0 2000 2000 2000 3 3 3 g/cm g/cm g/cm ･･･ y = 4748 x + 1033 , K , K , K p p p 1000 1000 1000 a a a y = 3008 x + 869 1/ 1/ 1/ y = 3647 x + 898

0 0 0 0.00 0.05 0.10 0.15 0.20 0.25 0.30 0.00 0.05 0.10 0.15 0.20 0.25 0.30 0.00 0.05 0.10 0.15 0.20 0.25 0.30 P, GPa P, GPa P, GPa

3000 3000 3000 2,2,4-Trimeyhlpentane Toluene Lubricant 1 fig. using V (av) fig. using Vt=0(av) fig. using Vt=0 (av) t=0 2000 2000 2000 3 3 3 g/cm g/cm g/cm ･･･ y = 3087 x + 1015 , K , K , K p p 1000 1000 p 1000 a y = 3345 x + 726 a a 1/ 1/ y = 2935 x + 870 1/

0 0 0 0.00 0.05 0.10 0.15 0.20 0.25 0.30 0.00 0.05 0.10 0.15 0.20 0.25 0.30 0.00 0.05 0.10 0.15 0.20 0.25 0.30 P, GPa P, GPa P, GPa

3000 3000 3000 Lubricant 2 Lubricant 3 Lubricant 4 fig. using V (av) fig. using Vt=0(av) fig. using Vt=0 (av) t=0 2000 2000 2000 3 3 3 g/cm g/cm g/cm ･･･ , K , K , K y = 2517 x + 1039 p p 1000 y = 3994 x + 1136 p 1000 1000 a a a 1/ 1/

1/ y = 2161 x + 934

0 0 0 0.00 0.05 0.10 0.15 0.20 0.25 0.30 0.00 0.05 0.10 0.15 0.20 0.25 0.30 0.00 0.05 0.10 0.15 0.20 0.25 0.30 P, GPa P, GPa P, GPa

Fig. A7 1/αp-P charts of n-Pentane, n-Octne, n-Decane, n-Hexadecan, n-Octadecane, n-Eicosane,

2,2,4-trimethylpentane,Toluene and Lubricant 1〜4 using Vt=0(av)

3000 3000 3000 Lubricant 5 Lubricant 6 Lubricant 7 fig. using V (av) fig. using Vt=0(av) fig. using Vt=0 (av) t=0 2000 2000 2000 3 3 3 g/cm g/cm g/cm ･･･ y = 3340 x + 1246 y = 2719 x + 1227 y = 3384 x + 1040 , K , K , K p p p 1000 1000 1000 a a a 1/ 1/ 1/

0 0 0 0.00 0.05 0.10 0.15 0.20 0.25 0.30 0.00 0.05 0.10 0.15 0.20 0.25 0.30 0.00 0.05 0.10 0.15 0.20 0.25 0.30 P, GPa P, GPa P, GPa

3000 3000 3000 Lubricant 10 Lubricant 8 Lubricant 9 fig. using V (av) fig. using Vt=0(av) fig. using Vt=0 (av) t=0 2000 2000 2000 3 3 3 g/cm g/cm g/cm ･･･ y = 3710 x + 1281 y = 3999 x + 1285 , K , K , K p p 1000 y = 4028 x + 1190 p 1000 1000 a a a 1/ 1/ 1/

0 0 0 0.00 0.05 0.10 0.15 0.20 0.25 0.30 0.00 0.05 0.10 0.15 0.20 0.25 0.30 0.00 0.05 0.10 0.15 0.20 0.25 0.30 P, GPa P, GPa P, GPa

3000 3000 3000 Lubricant 11 Lubricant 12 Lubricant 13 fig. using V (av) fig. using Vt=0(av) fig. using Vt=0 (av) t=0 2000 2000 2000 3 3 3 g/cm g/cm g/cm y = 4496 x + 1264 ･･･ y = 3410 x + 1180 , K , K , K p p p 1000 1000 1000 a a a 1/ 1/ 1/ y = 3380 x + 1110

0 0 0 0.00 0.05 0.10 0.15 0.20 0.25 0.30 0.00 0.05 0.10 0.15 0.20 0.25 0.30 0.00 0.05 0.10 0.15 0.20 0.25 0.30 P, GPa P, GPa P, GPa

3000 3000 3000 Lubricant 14 Lubricant 15 Lubricant 16 fig. using V (av) fig. using Vt=0(av) fig. using Vt=0 (av) t=0 2000 2000 2000 3 3 3 g/cm g/cm g/cm ･･･ y = 4007 x + 1275 , K , K , K p p p 1000 1000 1000 y = 4076 x + 1180 a a a 1/ 1/ 1/ y = 3071 x + 1111

0 0 0 0.00 0.05 0.10 0.15 0.20 0.25 0.30 0.00 0.05 0.10 0.15 0.20 0.25 0.30 0.00 0.05 0.10 0.15 0.20 0.25 0.30 P, GPa P, GPa P, GPa

Fig. A8 1/αp-P charts of Lubricant 5〜16 using Vt=0(av)

2.0 2.0 MIX9 Cyclooctane 1.8 1.8 0.000GPa 0.025GPa 0.000GPa 0.025GPa 0.050GPa 0.075GPa 0.050GPa 0.075GPa 1.6 0.100GPa 0.125GPa 1.6 0.100GPa 0.125GPa 0.150GPa 0.175GPa 0.150GPa 0.175GPa 0.200GPa 0.225GPa 0.200GPa 0.225GPa /g /g 1.4 1.4 3 3 0.250GPa , cm , cm 1.2 1.2 pt pt V V

1.0 1.0

0.8 0.8 fig. using Vt=0(av) fig. using Vt=0 (av) 0.6 0.6 0 100 200 300 400 500 600 0 100 200 300 400 500 600 T, K T, K

3000 3000 MIX9 Cyclooctane

fig. using Vt=0(av) fig. using Vt=0 (av)

2000 2000 3 3 g/cm g/cm ･･ y = 3916 x + 1223 , K , K p p 1000 1000 a a 1/ 1/ y = 2736 x + 881

0 0 0.00 0.05 0.10 0.15 0.20 0.25 0.30 0.00 0.05 0.10 0.15 0.20 0.25 0.30 P, GPa P, GPa

Fig. A9 V-T and 1/αp-P charts of MIX9 and Cyclooctane using Vt=0(av)

Fig. A10 Comparison of density-pressure relation of of n-Pentane, n-Octne, n-Decane, n-Hexadecan, n-Octadecane, n-Eicosane, 2,2,4-trimethylpentane and Toluene between observation and several equations

Fig. A11 Comparison of density-pressure relation of Lubricant 1〜8 between observation and several equations

Fig. A12 Comparison of density-pressure relation of Lubricant 9〜16 between observation and several equations