Table I
Collisional Half-Widths of 2ν 2 − ν 2 Transitions Measured from Air–methane Flame Spectra at 2000 K
J K a K c J ″K a ″K c ″σ γ Δγ 19 0 19 19 1 18 1146.7511 16.8 1.1 19 1 19 19 2 18 1146.7511 16.8 1.1 20 0 20 21 1 21 1147.8202 17.0 1.0 20 1 20 21 0 21 1147.8202 17.0 1.0 6 0 6 7 3 5 1160.1045 23.8 2.3 19 0 19 20 1 20 1167.4695 18.7 0.9 19 1 19 20 0 20 1167.4695 18.7 0.9 18 0 18 19 1 19 1187.2215 17.6 1.5 18 1 18 19 0 19 1187.2215 17.6 1.5 11 4 7 12 5 8 1203.8837 23.0 0.9 17 0 17 18 1 18 1207.0381 16.4 2.7 17 1 17 18 0 18 1207.0381 16.4 2.7 9 5 4 10 6 5 1219.9572 27.2 1.2 16 0 16 17 1 17 1226.8708 20.0 0.9 16 1 16 17 0 17 1226.8708 20.0 0.9 9 4 5 10 5 6 1228.5325 28.9 2.1 9 7 3 10 8 2 1232.0724 18.3 1.5 9 7 2 10 8 3 1232.0724 18.3 1.5 8 4 5 9 5 4 1240.6889 26.1 1.5 9 8 2 10 9 1 1242.3805 17.0 1.0 9 8 1 10 9 2 1242.3805 17.0 1.0 8 5 4 9 6 3 1243.0227 23.3 1.4 8 5 3 9 6 4 1243.4423 27.2 4.6 8 6 3 9 7 2 1248.1770 23.3 1.3 11 10 1 12 11 2 1252.7275 14.8 1.7 11 10 2 12 11 1 1252.7275 14.8 1.7 8 7 2 9 8 1 1256.5477 20.7 1.4 8 7 1 9 8 2 1256.5477 20.7 1.4 8 8 0 9 9 1 1267.2114 15.3 1.1 8 8 1 9 9 0 1267.2114 15.3 1.1 7 5 3 8 6 2 1267.4079 23.3 2.3 7 5 2 8 6 3 1267.5120 23.3 2.3 7 7 1 8 8 0 1281.2345 12.8 2.2 7 7 0 8 8 1 1281.2345 12.8 2.2 13 0 13 13 1 12 1287.5583 20.5 1.8 6 4 3 7 5 2 1291.3482 26.6 1.1 5 3 2 6 4 3 1324.3502 31.9 1.3 11 0 11 12 1 12 1325.1608 24.5 1.6 11 1 11 12 0 12 1325.2278 24.5 1.6 4 2 3 5 3 2 1351.5703 32.7 1.5 9 0 9 10 1 10 1363.5667 26.3 1.6 8 0 8 9 1 9 1382.4225 28.0 2.1 7 1 6 8 2 7 1384.1747 35.3 1.2 3 2 1 4 3 2 1387.9371 34.2 1.2 11 1 10 11 2 9 1399.9672 27.7 1.2 8 1 8 8 2 7 1400.0889 30.4 2.0 7 0 7 8 1 8 1400.9426 32.1 0.8 10 2 9 10 3 8 1410.5037 29.7 0.4 7 1 7 7 2 6 1420.9847 29.2 4.0 6 1 6 7 0 7 1421.2164 29.3 0.8 7 0 7 7 1 6 1428.8765 35.9 1.6 5 0 5 6 1 6 1436.2327 31.6 2.3 10 4 7 10 5 6 1458.8643 34.5 1.9 4 1 4 5 0 5 1460.9393 33.7 1.2 9 5 4 9 6 3 1463.6511 27.1 1.0 6 2 5 6 3 4 1464.4601 27.4 2.2 11 2 9 11 3 8 1464.6174 27.7 2.2 4 3 2 4 4 1 1468.2682 26.0 2.4 9 4 5 9 5 4 1470.7494 29.8 1.8 5 3 2 5 4 1 1470.8622 39.9 3.0 7 3 4 7 4 3 1480.7068 33.9 0.9 7 1 6 7 2 5 1486.7441 30.4 0.8 4 0 4 4 1 3 1499.8259 30.0 2.1 7 2 5 7 3 4 1504.6141 27.1 0.6 5 1 4 5 2 3 1511.4851 29.3 0.7 1 1 0 1 0 1 1583.3578 34.3 1.4 2 1 1 2 0 2 1590.3851 36.4 1.9 3 0 3 2 1 2 1612.1812 32.9 1.0 2 1 2 1 0 1 1619.3646 38.8 1.9 5 2 3 5 1 4 1626.0604 33.9 0.8 6 2 4 6 1 5 1638.4114 34.8 1.3 5 1 4 5 0 5 1644.6919 34.9 1.1 4 1 4 3 0 3 1649.8089 31.8 0.8 6 3 3 6 2 4 1662.6059 31.2 1.8 8 3 5 8 2 6 1664.0646 34.7 1.7 5 3 2 5 2 3 1668.7604 34.0 1.5 6 1 6 5 0 5 1681.0945 30.8 1.2 4 3 2 4 2 3 1689.8543 39.2 1.3 7 1 7 6 0 6 1697.7400 32.3 1.4 7 1 6 7 0 7 1698.6948 32.7 2.9 6 3 4 6 2 5 1703.6820 33.5 1.8 9 2 7 9 1 8 1711.4668 34.8 1.2 8 0 8 7 1 7 1713.7117 31.7 1.2 8 1 8 7 0 7 1714.6110 31.8 0.8 9 0 9 8 1 8 1731.0399 27.8 0.8 9 1 9 8 0 8 1731.4682 30.5 2.2 5 4 1 5 3 2 1738.4861 31.4 1.5 3 3 0 2 2 1 1758.3337 35.6 1.6 11 0 11 10 1 10 1764.5994 27.6 0.7 11 1 11 10 0 10 1764.6974 26.7 2.0 14 0 14 13 1 13 1812.8882 27.9 1.3 14 1 14 13 0 13 1812.8882 27.9 1.3 16 0 16 15 1 15 1843.9506 24.6 1.3 16 1 16 15 0 15 1843.9506 24.6 1.3
Table II
Collisional Half-Widths of 3ν 2 − 2ν 2 Transitions Measured from Air–methane Flame Spectra at 2000 K
J K a K c J ″K a ″K c ″σ γ Δγ 6 2 5 7 3 4 1223.6284 30.8 2.3 7 6 1 8 7 2 1231.5258 21.5 1.0 7 6 2 8 7 1 1231.5258 21.5 1.0 7 3 4 8 4 5 1231.6310 26.1 3.7 6 4 3 7 5 2 1242.1269 27.2 2.7 6 6 0 7 7 1 1256.3035 21.0 1.6 6 6 1 7 7 0 1256.3035 21.0 1.6 11 0 11 12 1 12 1289.4638 23.1 3.5 11 1 11 12 0 12 1289.7021 21.8 2.2 10 1 10 11 0 11 1308.3033 25.6 2.7 3 3 0 4 4 1 1318.6892 32.0 2.4 10 2 9 10 3 8 1359.5058 29.5 1.2 7 1 7 8 0 8 1364.0708 25.7 6.0 8 3 6 9 2 7 1390.5622 31.0 2.5 7 3 4 7 4 3 1424.9793 29.4 2.8 5 0 5 5 1 4 1430.8308 32.2 3.2 1 0 1 1 1 0 1488.6660 35.1 3.4 11 2 10 10 3 7 1511.5908 24.6 2.1 5 3 3 4 4 0 1537.4131 28.0 4.9 3 2 1 3 1 2 1596.6481 38.0 2.3 5 2 3 5 1 4 1598.5801 30.3 2.0 5 0 5 4 1 4 1614.5837 32.0 0.9 2 2 1 2 1 2 1617.3895 29.5 5.8 7 2 5 7 1 6 1625.8778 31.0 1.5 7 0 7 6 1 6 1654.9887 31.7 0.9 7 1 7 6 0 6 1658.8215 30.5 1.9 5 3 2 5 2 3 1659.6418 30.3 2.1 9 0 9 8 1 8 1691.3404 29.9 0.8 9 1 9 8 0 8 1692.4224 31.2 1.0 6 3 4 6 2 5 1693.5390 34.4 4.5 8 3 6 8 2 7 1718.3757 31.3 3.7 8 2 7 7 1 6 1734.9324 32.4 2.3 11 1 10 10 2 9 1777.2131 31.8 1.6
Table III
Collisional Half-Widths of 4ν 2 − 3ν 2 Transitions Measured from Air–methane Flame Spectra at 2000 K
J K a K c J ″K a ″K c ″σ γ Δγ 6 1 6 7 2 5 1092.5139 23.8 2.2 10 0 10 10 1 9 1230.4109 22.2 0.7 11 0 11 12 1 12 1249.3815 23.3 2.2 9 1 9 9 2 8 1251.0583 25.0 4.4 3 3 0 4 4 1 1259.7341 22.2 1.4 8 1 8 9 0 9 1303.6817 27.2 1.6 6 0 6 7 1 7 1330.8700 35.5 3.9 1 0 1 1 1 0 1434.2194 37.6 3.3 5 0 5 4 1 4 1564.3901 30.5 1.5 3 3 1 4 2 2 1568.2188 23.6 1.9 8 1 8 7 0 7 1633.4273 31.3 1.2 9 0 9 8 1 8 1647.2547 27.5 2.1 10 0 10 9 1 9 1665.7861 32.6 2.1 10 1 10 9 0 9 1667.7317 28.1 0.8 13 0 13 12 1 12 1720.0429 26.7 1.8 13 1 13 12 0 12 1720.5798 27.5 2.1
Table IV
Collisional Half-Widths of ν 2 + ν 3 − ν 3 , ν 1 + ν 2 − ν 1 , ν 1 − ν 2 , and 2ν 2 + ν 3 − ν 2 − ν 3 Transitions Measured from Air–methane Flame Spectra at 2000K
J K a K c J ″K a ″K c ″σ γ Δγ ν 2 + ν 3 − ν 3 9 8 1 10 9 2 1264.7178 22.9 1.9 9 8 2 10 9 1 1264.7178 22.9 1.9 9 9 0 10 10 1 1274.2261 11.4 1.6 9 9 1 10 10 0 1274.2261 11.4 1.6 6 2 4 7 3 5 1386.0616 26.1 3.0 7 4 4 8 3 5 1485.5089 30.4 2.4 5 1 5 4 0 4 1678.9388 32.5 2.4 ν 1 + ν 2 − ν 1 4 3 2 4 4 1 1499.9928 27.4 4.6 7 2 5 7 3 4 1534.3911 30.6 3.5 6 1 6 5 0 5 1698.0050 37.2 1.9 7 0 7 6 1 6 1713.8134 36.5 4.6 11 0 11 10 1 10 1780.1920 24.4 3.3 ν 1 − ν 2 15 9 6 16 10 7 1171.3573 27.4 1.2 15 9 7 16 10 6 1171.3573 27.4 1.2 12 9 3 12 10 2 1570.9898 33.1 3.2 12 9 4 12 10 3 1570.9898 33.1 3.2 2ν 2 + ν 3 − (ν 2 + ν 3 ) 4 1 3 4 0 4 1603.8092 30.6 2.1
Table V
Comparison of the Collisional Widths Measured for the Same Rotational Transitions Belonging to the ν 2 , 2ν 2 − ν 2 , 3ν 2 − 2ν 2 , and 4ν 2 − 3ν 2 Bandsa
J K a K c J ″K a ″K c ″SIGMA 1 SIGMA 2 γ1 Δγ1 γ2 Δγ2 γ1 − γ2 γ2 /γ1 ν 2 2ν 2 − ν 2 20 0 20 21 1 21 1172.5830 1147.8200 18.5 1.2 17.0 1.0 1.5 0.919 20 1 20 21 0 21 1172.5830 1147.8200 18.5 1.2 17.0 1.0 1.5 0.919 19 0 19 19 1 18 1220.5270 1146.7510 14.4 1.4 16.8 1.1 −2.4 1.167 11 10 2 12 11 1 1256.8310 1252.7280 18.4 1.4 14.8 1.7 3.6 0.804 11 10 1 12 11 2 1256.8310 1252.7280 18.4 1.4 14.8 1.7 3.6 0.804 11 4 7 12 5 8 1260.4960 1203.8840 30.9 1.8 23.0 0.9 7.9 0.744 9 5 4 10 6 5 1266.0720 1219.9570 27.5 1.5 27.2 1.2 0.3 0.989 9 7 2 10 8 3 1272.3420 1232.0720 19.8 2.0 18.3 1.5 1.5 0.924 9 7 3 10 8 2 1272.3420 1232.0720 19.8 2.0 18.3 1.5 1.5 0.924 9 8 2 10 9 1 1281.1660 1242.3800 18.6 2.0 17.0 1.0 1.6 0.914 9 8 1 10 9 2 1281.1660 1242.3800 18.6 2.0 17.0 1.0 1.6 0.914 8 8 1 9 9 0 1305.4870 1267.2110 20.7 1.1 15.3 1.1 5.4 0.739 8 8 0 9 9 1 1305.4870 1267.2110 20.7 1.1 15.3 1.1 5.4 0.739 7 7 1 8 8 0 1320.8720 1281.2340 24.7 0.7 12.8 2.2 11.9 0.518 7 7 0 8 8 1 1320.8720 1281.2340 24.7 0.7 12.8 2.2 11.9 0.518 13 0 13 13 1 12 1348.8180 1287.5580 27.6 1.9 20.5 1.8 7.1 0.743 11 0 11 12 1 12 1358.0310 1325.1610 25.4 2.6 24.5 1.6 0.9 0.965 11 1 11 12 0 12 1358.0310 1325.2280 25.4 2.6 24.5 1.6 0.9 0.965 9 0 9 10 1 10 1397.7340 1363.5670 32.8 1.3 26.3 1.6 6.5 0.802 7 1 7 7 2 6 1471.4840 1420.9850 34.3 3.9 29.2 4.0 5.1 0.851 7 3 4 7 4 3 1531.6390 1480.7070 33.3 1.1 33.9 0.9 −0.6 1.018 6 3 3 6 2 4 1679.8170 1662.6060 37.8 2.1 31.2 1.8 6.6 0.825 5 3 2 5 2 3 1684.0010 1668.7600 42.8 2.5 34.0 1.5 8.8 0.794 8 3 5 8 2 6 1687.8780 1664.0650 37.3 1.6 34.7 1.7 2.6 0.930 9 2 7 9 1 8 1739.3190 1711.4670 36.4 1.3 34.8 1.2 1.6 0.956 14 0 14 13 1 13 1848.8130 1812.8880 27.9 6.4 27.9 1.3 0.0 1.000 14 1 14 13 0 13 1848.8130 1812.8880 27.9 6.4 27.9 1.3 0.0 1.000 ν 2 3ν 2 − 2ν 2 7 6 2 8 7 1 1314.7400 1231.5260 29.4 1.2 21.5 1.0 7.9 0.731 7 6 1 8 7 2 1314.7400 1231.5260 29.4 1.2 21.5 1.0 7.9 0.731 6 6 1 7 7 0 1339.1500 1256.3030 29.6 1.3 21.0 1.6 8.6 0.709 6 6 0 7 7 1 1339.1500 1256.3030 29.6 1.3 21.0 1.6 8.6 0.709 7 3 4 8 4 5 1340.1680 1231.6310 37.0 1.5 26.1 3.7 10.9 0.705 11 0 11 12 1 12 1358.0310 1289.4640 25.4 2.6 23.1 3.5 2.3 0.909 11 1 11 12 0 12 1358.0310 1289.7020 25.4 2.6 21.8 2.2 3.6 0.858 7 3 4 7 4 3 1531.6390 1424.9790 33.3 1.1 29.4 2.8 3.9 0.883 5 3 2 5 2 3 1684.0010 1659.6420 42.8 2.5 30.3 2.1 12.5 0.708 7 2 5 7 1 6 1688.3810 1625.8780 41.5 1.7 31.0 1.5 10.5 0.747 ν 2 4ν 2 − 3ν 2 11 0 11 12 1 12 1358.0310 1249.3810 25.4 2.6 23.3 2.2 2.1 0.917 13 0 13 12 1 12 1833.2820 1720.0430 29.3 4.9 26.7 1.8 2.6 0.911 13 1 13 12 0 12 1833.2820 1720.5800 29.3 4.9 27.5 2.1 1.8 0.939 2ν 2 − ν 2 3ν 2 − 2ν 2 6 4 3 7 5 2 1291.3480 1242.1270 26.6 1.1 27.2 2.7 −0.6 1.023 11 0 11 12 1 12 1325.1610 1289.4640 24.5 1.6 23.1 3.5 1.4 0.943 11 1 11 12 0 12 1325.2280 1289.7020 24.5 1.6 21.8 2.2 2.7 0.890 10 2 9 10 3 8 1410.5040 1359.5060 29.7 0.4 29.5 1.2 0.2 0.993 7 3 4 7 4 3 1480.7070 1424.9790 33.9 0.9 29.4 2.8 4.5 0.867 5 2 3 5 1 4 1626.0600 1598.5800 33.9 0.8 30.3 2.0 3.6 0.894 5 3 2 5 2 3 1668.7600 1659.6420 34.0 1.5 30.3 2.1 3.7 0.891 7 1 7 6 0 6 1697.7400 1658.8220 32.3 1.4 30.5 1.9 1.8 0.944 6 3 4 6 2 5 1703.6820 1693.5390 33.5 1.8 34.4 4.5 −0.9 1.027 9 0 9 8 1 8 1731.0400 1691.3400 27.8 0.8 29.9 0.8 −2.1 1.076 9 1 9 8 0 8 1731.4680 1692.4220 30.5 2.2 31.2 1.0 −0.7 1.023 2ν 2 − ν 2 4ν 2 − 3ν 2 11 0 11 12 1 12 1325.1610 1249.3810 24.5 1.6 23.3 2.2 1.2 0.951 8 1 8 7 0 7 1714.6110 1633.4270 31.8 0.8 31.3 1.2 0.5 0.984 9 0 9 8 1 8 1731.0400 1647.2550 27.8 0.8 27.5 2.1 0.3 0.989 3ν 2 − 2ν 2 4ν 2 − 3ν 2 11 0 11 12 1 12 1289.4640 1249.3810 23.1 3.5 23.3 2.2 −0.2 1.009 3 3 0 4 4 1 1318.6890 1259.7340 32.0 2.4 22.2 1.4 9.8 0.694 10 1 1 1 0 1488.6660 1434.2190 35.1 3.4 37.6 3.3 −2.5 1.071 5 0 5 4 1 4 1614.5840 1564.3900 32.0 0.9 30.5 1.5 1.5 0.953 9 0 9 8 1 8 1691.3400 1647.2550 29.9 0.8 27.5 2.1 2.4 0.920
a The notations are the same as in
Tables I –
IV , the subscript 2 being relative to the hotter band.
Table VI
Collislonal Widths of Transitions Present Simultaneously in More Than Two Bands
J K a K c J ″K a ″K c ″ν 2 2ν 2 − ν 2 3ν 2 − 2ν 2 4ν 2 − 3ν 2 11 0 11 12 1 12 25.4 24.5 23.1 23.3 11 1 11 12 0 12 25.4 24.5 21.8 9 0 9 8 1 8 27.8 29.9 27.5 7 3 4 7 4 3 33.3 33.9 29.4 5 3 2 5 2 3 42.8 34.0 30.4
Table VII
Synthesis of the Linewidth Comparisons for the Bands Involving the ν 2 Vibrational Quantum Number
Band 1 Band 2 N 〈γ2 /γ1 〉 SD ν 2 2ν 2 − ν 2 27 0.866 0.141 ν 2 3ν 2 − 2ν 2 10 0.769 0.077 ν 2 4ν 2 − 3ν 2 3 0.922 0.012 2ν 2 − ν 2 3ν 2 − 2ν 2 11 0.961 0.068 2ν 2 − ν 2 4ν 2 − 3ν 2 3 0.975 0.017 3ν 2 − 2ν 2 4ν 2 − 3ν 2 5 0.929 0.128