Table I
Spectral lines of Hf iv in the region of the 4f145d–4f135d2 transition array (~550–700 Å). Newly observed lines of the 4f14nl system are also included.
Wavelength (Å) | Intensity | Wave number (cm−1) | Classification |
---|
882.963 | 20 | 113 255.0 | 6p 2P3/2°–8s 2S1/2 |
814.125 | 10 | 122 831.3 | 6p 2 P1/2°–8s 2S1/2 |
713.362 | 20 | 140 181.3 | |
708.398 | 2 | 141 163.6 | 5d 2D5/2–145 8565/2° |
693.394 | 5 | 144 218.2 | 6s 2S1/2–7p 2P3/2° |
685.606 | 10 | 145 856.4 | 5d 2D3/2–145 8565/2° |
683.485 | 20 | 146 309.0 | 5d 2D5/2–151 0023/2° |
674.049 | 40 | 148 357.2 | 5d 2D5/2–153 0503/2° |
673.494 | 200 | 148 479.4 | 5d 2D3/2–148 4795/2° |
671.360 | 100 | 148 951.5 | |
668.601 | 20 | 149 566.0 | 5d 2D5/2–154 2587/2° |
667.673 | 50 | 149 773.9 | 5d 2D5/2–5f 2F5/2° |
665.647 | 600 | 150 229.8 | 5d 2D5/2–5f 2F7/2° |
665.344 | 30 | 150 298.2 | |
664.638 | 30 | 150 457.8 | 5d 2D5/2–155 1505/2° |
663.997 | 10 | 150 603.0 | |
663.853 | 40 | 150 635.8 | 5d 2D5/2–150 6363/2° |
663.636 | 10 | 150 685.1 | |
662.244 | 3 | 151 001.7 | 5d 2D3/2–151 0023/2° |
659.314 | 20 | 151 672.8 | 5d 2D5/2–156 3657/2° |
653.385 | 60 | 153 049.1 | 5d 2D3/2–153 0503/2° |
650.612 | 3 | 153 701.4 | 5d 2D5/2–158 3943/2° |
647.393 | 400 | 154 465.7 | 5d 2D3/2–5f2F5/2° |
644.537 | 200 | 155 150.1 | 5d 2D3/2–155 1505/2° |
643.047 | 100 | 155 509.6 | |
641.847 | 4 | 155 800.4 | 5d 2D5/2–160 4933/2° |
635.599 | 5 | 157 331.9 | 5d 2D5/2–162 0245/2° |
634.798 | 10 | 157 530.4 | 5d 2D5/2–162 2233/2° |
634.236 | 10 | 157 670.1 | |
633.577 | 100 | 157 834.1 | |
633.297 | 50 | 157 903.8 | 5d 2D5/2–7p 2P3/2° |
631.335 | 20 | 158 394.5 | 5d 2D3/2–158 3943/2° |
628.674 | 80 | 159 064.9 | 5d 2D3/2–159 0653/2° |
626.056 | 10 | 159 730.0 | |
626.018 | 20 | 159 739.7 | |
623.081 | 70 | 160 492.8 | 5d 2D3/2–160 4933/2° |
620.729 | 10 | 161 100.9 | 5d 2D5/2–165 7945/2° |
620.186 | 100 | 161 241.8 | |
618.270 | 200 | 161 741.7 | |
617.196 | 40 | 162 023.1 | 5d 2D3/2–162 0245/2° |
616.433 | 30 | 162 223.6 | 5d 2D3/2–162 0233/2° |
615.014 | 3 | 162 597.9 | 5d 2D3/2–7p 2P3/2° |
613.744 | 10 | 162 934.4 | 5d 2D5/2–167 6273/2° |
612.573 | 50 | 163 245.8 | 5d 2D5/2–167 9387/2° |
610.417 | 20 | 163 822.4 | 5d 2D5/2–168 5155/2° |
607.240 | 80 | 164 679.5 | 5d 2D5/2–169 3727/2° |
606.258 | 40 | 164 946.3 | 5d 2D3/2–164 9461/2° |
603.160 | 100 | 165 793.5 | 5d 2D3/2–165 7945/2° |
600.898 | 100 | 166 417.6 | |
600.442 | 60 | 166 544.0 | 5d 2D3/2–166 5443/2° |
599.365 | 20 | 166 843.2 | 5d 2D5/2–171 5367/2° |
598.100 | 50 | 167 196.1 | 5d 2D5/2–171 8895/2° |
596.561 | 100 | 167 627.5 | 5d 2D3/2–167 6273/2° |
582.010 | 3 | 171 818.4 | 5d 2D3/2–171 8183/2° |
581.770 | 30 | 171 889.2 | 5d 2D3/2–171 8895/2° |
579.825 | 40 | 172 465.8 | 5d 2D3/2–172 4661/2° |
578.497 | 20 | 172 861.7 | |
574.424 | 40 | 174 087.4 | |
569.190 | 50 | 175 688.2 | |
558.930 | 10 | 178 913.4 | |
520.518 | 1 | 192 116.3 | 5d 2D5/2–6f 2F5/2° |
520.039 | 40 | 192 293.3 | 5d 2D5/2–6f 2F7/2° |
508.111 | 20 | 196 807.4 | 5d 2D3/2–6f 2F5/2° |
Table II
Spectral lines of Hf v.
Wavelength (Å) | Intensity | Wave number (cm−1) | classification |
---|
1792.386 | 200 | 55 791.56 | 226 4613°–282 2532 |
1774.018 | 1000 | 56 369.23 | 226 4613°–282 8303 |
1765.615 | 2000 | 56 637.48 | 213 0683°–269 7053 |
1760.888 | 4000 | 56 789.54 | 226 0412°–282 8303 |
1750.186 | 20000 | 57 136.79 | 213 0683°–270 2054 |
1749.109 | 20000 | 57 171.98 | 212 5334°–269 7053 |
1741.739 | 3000 | 57 413.88 | 226 4613°–283 8753 |
1733.965 | 10000 | 57 671.29 | 212 5334°–270 2054 |
“ | | | 226 4613°–284 1334 |
1731.832 | 10000 | 57 742.33 | 226 4613°–284 2042 |
1729.082 | 5000 | 57 834.15 | 226 0412°–283 8753 |
1719.319 | 1000 | 58 162.56 | 226 0412°–284 2042 |
1457.914 | 1000 | 68 591.1 | 226 0412°–294 6321 |
1445.404 | 2000 | 69 184.8 | 213 0683°–282 2532 |
1437.734 | 4000 | 69 553.9 | 212 5334°–282 0875 |
1437.267 | 2000 | 69 576.5 | 226 4613°–296 0384 |
1433.434 | 2000 | 69 762.5 | 213 0683°–282 8303 |
1422.534 | 600 | 70 297.1 | 212 5334°–282 8303 |
1421.960 | 300 | 70 325.5 | 226 4613°–296 7872 |
1413.511 | 1000 | 70 745.8 | 226 0412°–296 7872 |
1412.285 | 1000 | 70 807.2 | 213 0683°–283 8753 |
1408.381 | 2000 | 71 003.5 | 226 4613°–297 4653 |
1407.168 | 2000 | 71 064.7 | 213 0683°–284 1334 |
1405.766 | 200 | 71 135.6 | 213 0683°–284 2042 |
1401.705 | 300 | 71 341.7 | 212 5334°–283 8753 |
1400.094 | 1000 | 71 423.8 | 226 0412°–297 4653 |
1396.662 | 3000 | 71 599.3 | 212 5334°–284 1334 |
1265.378 | 20 | 79 027.7 | 296 0384–375 0664° |
1263.696 | 20 | 79 133.0 | 297 4653–376 5983° |
1259.246 | 100 | 79 412.6 | 296 7872–376 1991° |
1255.831 | 50 | 79 628.5 | 282 0875–361 7165° |
1253.802 | 3 | 79 757.4 | |
1252.949 | 20 | 79 811.7 | 296 7872–376 5983° |
“ | | | 283 8753–363 6872° |
1250.409 | 20 | 79 973.8 | 282 8303–362 8044° |
1249.779 | 10 | 80 014.1 | 296 7872–376 8011° |
1244.462 | 300 | 80 356.0 | 284 1334–364 4884° |
1243.682 | 5 | 80 406.4 | |
1243.003 | 5 | 80 450.4 | |
1241.602 | 30 | 80 541.1 | 284 1334–364 6743° |
1241.309 | 10 | 80 560.1 | 296 0384–376 5983° |
1240.557 | 20 | 80 609.0 | 297 4653–378 0743° |
1240.496 | 40 | 80 612.9 | 283 8753–364 4884° |
1239.530 | 300 | 80 675.8 | 284 1334–364 8085° |
1238.850 | 100 | 80 720.0 | 296 7872–377 5072° |
1237.640 | 30 | 80 798.9 | 283 8753–364 6743° |
1237.591 | 30 | 80 802.2 | |
1237.423 | 300 | 80 813.1 | 297 4653–378 2784° |
1236.764 | 30 | 80 856.2 | 282 8303–363 6872° |
1233.995 | 30 | 81 037.6 | 294 6321–375 6702° |
1233.589 | 500 | 81 064.3 | 296 0384–377 1025° |
1232.029 | 1000 | 81 166.9 | 282 0875–363 2546° |
1230.208 | 200 | 81 287.1 | 296 7872–378 0743° |
1227.985 | 200 | 81 434.2 | 282 2532–363 6872° |
1224.616 | 200 | 81 658.2 | 282 8303–364 4884° |
1218.466 | 5 | 82 070.4 | |
1217.313 | 10 | 82 148.1 | |
1217.007 | 50 | 82 168.8 | 294 6321–376 8011° |
1215.946 | 30 | 82 240.5 | 296 0384–378 2784° |
1213.572 | 3 | 82 401.4 | 282 0875–364 4884° |
1213.275 | 50 | 82 421.6 | 282 2532–364 6743° |
1209.162 | 3 | 82 701.9 | |
1208.880 | 200 | 82 721.2 | 282 0875–364 8085° |
1201.765 | 300 | 83 211.0 | |
1201.273 | 2 | 83 245.0 | |
1182.086 | 5 | 84 596.2 | |
1180.108 | 2 | 84 738.0 | |
1180.004 | 2 | 84 745.5 | |
1164.588 | 70 | 85 867.3 | 284 1334–370 0004° |
1162.201 | 10 | 86 043.6 | 297 4653–383 5082° |
1161.914 | 30 | 86 064.9 | 284 1334–370 1983° |
1161.113 | 2 | 86 124.2 | 283 8753–370 0004° |
1160.067 | 10 | 86 201.9 | 297 4653–383 6673° |
1158.446 | 20 | 86 322.5 | 283 8753–470 1983° |
1153.115 | 10 | 86 721.6 | 296 7872–383 5082° |
1144.696 | 5 | 87 359.4 | |
1144.597 | 20 | 87 367.0 | 282 8303–370 1983° |
1141.174 | 40 | 87 629.0 | 296 0384–383 6673° |
1139.932 | 1 | 87 724.6 | |
1137.494 | 200 | 87 912.5 | 282 0875–370 0004° |
1137.078 | 40 | 87 944.7 | 282 2532–370 1983° |
1134.436 | 5 | 88 149.6 | |
1125.161 | 5 | 88 876.2 | 294 6321–383 5082° |
1097.280 | 200 | 91 134.4 | 269 7053–360 8402° |
1096.595 | 80 | 91 191.4 | 283 8753–375 0664° |
1093.296 | 40 | 91 466.5 | 284 2042–375 6702° |
1092.760 | 300 | 91 511.4 | 270 2054–361 7165° |
1089.385 | 1 | 91 794.9 | 283 8753–375 6702° |
1084.262 | 20 | 92 228.6 | 270 2054–362 4333° |
1084.179 | 40 | 92 235.7 | 282 8302–375 0664° |
1082.314 | 20 | 92 394.6 | 284 2042–376 5983° |
1079.917 | 100 | 92 599.7 | 270 2054–362 8044° |
1078.477 | 10 | 92 723.3 | 283 8753–376 5983° |
1078.425 | 100 | 92 727.9 | 269 7053–362 4333° |
1074.124 | 50 | 93 099.1 | 269 7053–362 8044° |
1066.464 | 10 | 93 767.8 | 282 8303–376 5983° |
1051.173 | 10 | 95 131.9 | |
1021.681 | 8 | 97 877.9 | 172 3273°–270 2054 |
1011.056 | 80 | 98 906.5 | 183 3461°–282 2532 |
1010.467 | 20 | 98 964.2 | 171 2404°–270 2054 |
1005.401 | 2 | 99 462.8 | 284 2042–383 6673° |
1002.055 | 2 | 99 794.9 | 270 2054–370 0004° |
1000.070 | 5 | 99 993.0 | 270 2054–370 1983° |
997.797 | 8 | 100 220.7 | 181 8675°–282 0875 |
997.066 | 5 | 100 294.3 | 269 7053–370 0004° |
993.267 | 1 | 100 677.9 | 282 8303–383 5082° |
991.500 | 200 | 100 857.3 | 183 3461°–284 2042 |
988.055 | 10 | 101 208.9 | 181 0441°–282 2532 |
986.538 | 80 | 101 364.6 | 168 3412°–269 7053 |
984.642 | 150 | 101 559.7 | 181 2713°–282 8303 |
974.616 | 200 | 102 604.5 | 181 2713°–283 8753 |
971.506 | 300 | 102 933.0 | 181 2713°–284 2042 |
969.369 | 40 | 103 159.9 | 181 0441°–284 2042 |
964.745 | 400 | 103 654.3 | 166 0514°–269 7053 |
960.123 | 400 | 104 153.3 | 166 0514°–270 2054 |
951.618 | 800 | 105 084.2 | 164 6213°–269 7053 |
948.742 | 60 | 105 402.7 | 176 8502°–282 2532 |
947.120 | 200 | 105 583.3 | 164 6213°–270 2054 |
943.569 | 40 | 105 980.6 | 176 8502°–282 8303 |
940.737 | 2 | 106 299.7 | |
940.643 | 2 | 106 310.2 | |
934.359 | 60 | 107 025.2 | 176 8502°–283 8753 |
931.501 | 200 | 107 353.6 | 176 8502°–284 2042 |
928.120 | 20 | 107 744.7 | |
928.008 | 200 | 107 757.7 | 175 0734°–282 8303 |
927.210 | 5 | 107 850.4 | |
923.063 | 10 | 108 334.9 | |
921.666 | 1000 | 108 499.2 | 161 7055°–270 2054 |
919.098 | 400 | 108 802.4 | 175 0734°–283 8753 |
918.482 | 200 | 108 875.3 | 173 2125°–282 0875 |
916.926 | 20 | 109 060.0 | 175 0734°–284 1334 |
916.442 | 10 | 109 117.6 | |
913.676 | 200 | 109 448.0 | 186 5904°–296 0384 |
909.704 | 200 | 109 925.9 | 172 3273°–282 2532 |
905.803 | 20 | 110 399.3 | 185 6383°–296 0384 |
904.946 | 200 | 110 503.9 | 172 3273°–282 8303 |
904.457 | 20 | 110 563.6 | |
902.145 | 20 | 110 846.9 | 171 2404°–282 0875 |
901.916 | 200 | 110 875.1 | 186 5904°–297 4653 |
901.543 | 400 | 110 920.9 | 173 2125°–284 1334 |
899.697 | 200 | 111 148.5 | 185 6383°–296 7872 |
898.589 | 2 | 111 285.5 | 183 3461°–294 6321 |
897.896 | 60 | 111371.4 | 183 2612°–294 6321 |
896.471 | 100 | 111 548.5 | 172 3273°–283 8753 |
896.137 | 400 | 111 590.0 | 171 2404°–282 8303 |
894.406 | 100 | 111 806.1 | 172 3273°–284 1334 |
894.242 | 200 | 111 826.5 | 185 6383°–297 4653 |
893.843 | 10 | 111 876.5 | 172 3273°–284 2042 |
890.498 | 50 | 112 296.7 | |
888.265 | 10 | 112 579.0 | |
887.826 | 60 | 112 634.7 | 171 2404°–283 8753 |
885.801 | 200 | 112 892.1 | 171 2404°–284 1334 |
885.583 | 400 | 112 920.0 | 156 7852°–269 7053 |
881.522 | 20 | 113 440.2 | 183 3461°–296 7872 |
880.852 | 100 | 113 526.4 | 183 2612°–296 7872 |
880.373 | 200 | 113 588.2 | 181 0441°–294 6321 |
878.823 | 5 | 113 788.5 | |
878.113 | 5 | 113 880.6 | |
877.871 | 200 | 113 911.9 | 168 3412°–282 2532 |
877.475 | 7 | 113 963.4 | |
875.879 | 400 | 114 171.0 | 181 8675°–296 0384 |
875.625 | 20 | 114 204.1 | 183 2612°–297 4653 |
873.441 | 60 | 114 489.6 | 168 3412°–282 8303 |
871.333 | 20 | 114 766.7 | 181 2713°–296 0384 |
867.248 | 1000 | 115 307.3 | 166 7806°–282 0875 |
866.661 | 5 | 115 385.3 | |
865.680 | 30 | 115 516.1 | 181 2713°–296 7872 |
865.545 | 30 | 115 534.2 | 168 3412°–283 8753 |
865.157 | 200 | 115 586.0 | 166 6671°–282 2532 |
863.986 | 20 | 115 742.6 | 181 0441°–296 7872 |
863.092 | 30 | 115 862.4 | 168 3412°–284 2042 |
861.802 | 100 | 116 035.9 | 166 0514°–282 0875 |
860.630 | 50 | 116 193.9 | 181 2713°–297 4653 |
856.316 | 100 | 116 779.3 | 166 0514°–282 8303 |
855.621 | 10 | 116 874.2 | |
852.928 | 10 | 117 243.2 | |
850.797 | 30 | 117 536.8 | 166 6671°–284 2042 |
850.112 | 10 | 117 631.5 | 164 6213°–282 2532 |
849.025 | 30 | 117 782.2 | 176 8502°–294 6321 |
848.726 | 10 | 117 823.7 | 166 0514°–283 8753 |
846.871 | 100 | 118 081.8 | 166 0514°–284 1334 |
846.167 | 10 | 118 179.9 | |
846.080 | 20 | 118 192.1 | |
844.310 | 10 | 118 439.8 | |
838.123 | 5 | 119 314.2 | |
836.740 | 100 | 119 511.4 | 164 6213°–284 1334 |
836.243 | 3 | 119 582.4 | 164 6213°–284 2042 |
831.950 | 1 | 120 199.5 | 174 4330°–294 6321 |
830.688 | 100 | 120 382.1 | 161 7055°–282 0875 |
829.086 | 60 | 120 614.8 | 176 8502°–297 4653 |
826.686 | 40 | 120 965.0 | 175 0734°–296 0384 |
823.471 | 10 | 121 437.2 | |
823.413 | 5 | 121 445.7 | |
822.060 | 6 | 121 645.6 | |
818.133 | 40 | 122 229.5 | |
817.048 | 50 | 122 391.8 | 175 0734°–297 4653 |
816.812 | 100 | 122 427.2 | 161 7055°–284 1334 |
815.060 | 20 | 122 690.4 | |
814.161 | 10 | 122 825.9 | 173 2125°–296 0384 |
812.060 | 10 | 123 143.7 | |
809.453 | 40 | 123 540.2 | |
801.298 | 3 | 124 797.5 | 171 2404°–296 0384 |
799.115 | 8 | 125 138.4 | 172 3273°–297 4653 |
797.019 | 3 | 125 467.5 | 156 7852°–282 2532 |
793.369 | 50 | 126 044.8 | 156 7852°–282 8303 |
792.238 | 1 | 126 224.8 | 171 2404°–297 4653 |
788.083 | 10 | 126 890.2 | |
786.846 | 20 | 127 089.7 | 156 7852°–283 8753 |
784.817 | 3 | 127 418.2 | 156 7852°–284 2042 |
784.500 | 15 | 127 469.7 | |
781.460 | 8 | 127 965.5 | 166 6671°–294 6321 |
779.214 | 5 | 128 334.4 | |
770.648 | 10 | 129 761.0 | |
768.519 | 10 | 130 120.4 | 166 6671°–296 7872 |
760.956 | 3 | 131 413.7 | 166 0514°–297 4653 |
599.999 | 400 | 166 666.9 | 00 –166 6671° |
552.351 | 4 | 181 044.3 | 00 –181 0441° |
545.414 | 600 | 183 347.0 | 00 –183 3461° |
Table III
Energy levels of Hf iv giving rise to the lines in Table I. The 5d 2D and 5f 2F were previously known (see text).
Configuration | Designation | J | Level (cm−1) |
---|
4f145d | 2D | 3/2 | 0 |
| | 5/2 | 4692.6 |
4f13(2F7/2)5d2(3F4) | (7/2,4)° | 5/2 | 145 856 |
4f13(2F7/2)5d2(1D2) | (7/2,2)° | 5/2 | 148 479 |
4f13(2F7/2)5d2(3P1) | (7/2,1)° | 5/2 | 150 636 |
4f13(2F7/2)5d2(1D2) | (7/2,2)° | 3/2 | 151 002 |
4f13(2F5/2)5d2(3F3) | (5/2,3)° | 3/2 | 153 050 |
4f13(2F7/2)5d2(3P1) | (7/2,1)° | 7/2 | 154 258 |
4f13(2F5/2)5d2(3F2) | (5/2,2)° | 5/2 | 155 150 |
4f13(2F7/2)5d2(1G4) | (7/2,4)° | 7/2 | 156 365 |
4f13(2F5/2)5d2(3F4) | (5/2,4)° | 3/2 | 158 394 |
4f13(2F5/2)5d2(3P1) | (5/2,1)° | 3/2 | 159 065 |
4f13(2F5/2)5d2(3F2) | (5/2,2)° | 3/2 | 160 493 |
4f13(2F5/2)5d2(3F3) | (5/2,3)° | 5/2 | 162 024 |
4f13(2F7/2)5d2(3P2) | (7/2,2)° | 3/2 | 162 223 |
4f13(2F5/2)5d2(1D2) | (5/2,2)° | 1/2 | 164 946 |
4f13(2F5/2)5d2(3P0) | (5/2,0)° | 5/2 | 165 794 |
4f13(2F5/2)5d2(1G4) | (5/2,4)° | 3/2 | 166 544 |
4f13(2F5/2)5d2(1D2) | (5/2,2)° | 3/2 | 167 627 |
4f13(2F5/2)5d2(3P1) | (5/2,1)° | 7/2 | 167 938 |
4f13(2F5/2)5d2(1G4) | (5/2,4)° | 5/2 | 168 515 |
4f13(2F5/2)5d2(3P2) | (5/2,2)° | 7/2 | 169 372 |
4f13(2F5/2)5d2(1G4) | (5/2,4)° | 7/2 | 171 536 |
4f13(2F5/2)5d2(3P2) | (5/2,2)° | 3/2 | 171 818 |
4f13(2F5/2)5d2(3P2) | (5/2,2)° | 5/2 | 171 889 |
4f13(2F5/2)5d2(3P2) | (5/2,2)° | 1/2 | 172 466 |
4f145f | 2F° | 5/2 | 154466 |
| | 7/2 | 154 922 |
3f147p | 2P° | 3/2 | 162 597 |
4f148s | 2S | 1/2 | 189 870 |
4f146f | 2F° | 5/2 | 196 808 |
| | 7/2 | 196 986 |
Table IV
Values for the radial energy integrals (parameters) of the 4f135d2 configuration of Hf iv and corresponding parameters of 4f135d of Hf v obtained by least-squares fitting of the calculated to the experimental levels. Units are cm−1. For complete set of 4f135d parameters, see Table VII.
| Configuration |
---|
Parameter | 4f135d2(Hf iv) | 4f135d (Hf v) |
---|
A | 160 875(170) | 182 152(360) |
F2(d2) | 46 172(440) | |
F4(d2) | 22 252(370) | |
F2(fd) | 25 801(340) | 28 408(190) |
F4(fd) | 14 208(390) | 18 629(340) |
G1(fd) | 9 495(66) | 9 120(40) |
G3(fd) | 12 656(480) | 11 133(440) |
G5(fd) | 7 842(720) | 7 418(580) |
ζd | 2 298(20) | 2 550(13) |
ζf | 3 853(18) | 3 855(8) |
rms error | 62 | |
Table V
Calculated energy levels and percentage composition in J1J2 coupling of the 4f135d2 configuration of Hf iv. Only the first two components of the eigenvectors are given. Units for the levels are cm−1.
J | Levels | Calc. minus obs. | Composition (%) |
---|
Calculated | Observed |
---|
1/2 | 139 375 | | | (7/2,3F3) 90 | (7/2,1G4) 5 |
| 145 481 | | | (7/2,3F4) 69 | (5/2,3F2) 19 |
| 146 842 | | | (7/2,1G4) 56 | (5/2,3F2) 23 |
| 152 255 | | | (5/2,3F3) 67 | (5/2,3F2) 23 |
| 156 374 | | | (5/2,3F2) 22 | (7/2,1G4) 28 |
| 164 961 | 164 946 | 15 | (5/2,1D2) 65 | (5/2,3P2) 25 |
| 172 483 | 172 466 | 17 | (5/2,3P2) 75 | (5/2,1D2) 24 |
3/2 | 134 744 | | | (7/2,3F2) 93 | (7/2,1D2) 4 |
| 140 864 | | | (7/2,3F3) 79 | (7/2,1G4) 8 |
| 145 269 | | | (7/2,3F4) 40 | (7/2,1G4) 24 |
| 149 802 | | | (7/2,1G4) 33 | (5/2,3F3) 26 |
| 150 987 | 151 002 | −15 | (7/2,1D2) 60 | (5/2,3F3) 11 |
| 153 032 | 153 050 | −18 | (5/2,3F3) 25 | (7/2,1D2) 15 |
| 158 326 | 158 394 | −68 | (5/2,3F4) 56 | (7/2,3P2) 16 |
| 159 051 | 159 065 | −14 | (5/2,3P1) 15 | (5/2,3F4) 26 |
| 160 492 | 160 493 | −1 | (5/2,3F2) 45 | (7/2,1G4) 19 |
| 162 178 | 162 223 | −45 | (7/2,3P2) 24 | (5/2,1D2) 24 |
| 166 515 | 166 544 | −29 | (5/2,1G4) 43 | (5/2,1D2) 19 |
| 167 682 | 167 627 | 55 | (5/2,1D2) 32 | (5/2,1G4) 32 |
| 171 856 | 171 818 | 38 | (5/2,3P2) 68 | (5/2,3P1) 15 |
5/2 | 134 163 | | | (7/2,3F2) 85 | (7/2,1D2) 6 |
| 140 737 | | | (7/2,3F3) 70 | (7/2,3F4) 9 |
| 145 901 | 145 856 | 45 | (7/2,3F4) 41 | (7/2,1G4) 19 |
| 148 492 | 148 479 | 13 | (7/2,1D2) 33 | (7/2,3P1) 15 |
| 150 678 | 150 636 | 42 | (7/2,3P1) 43 | (7/2,1G4) 13 |
| 153 458 | | | (7/2,1G4) 31 | (5/2,3F3) 26 |
| 155 242 | 155 150 | 92 | (5/2,3F2) 34 | (5/2,3F3) 14 |
| 157 522 | | | (5/2,3F4) 51 | (7/2,3P2) 17 |
| 159 050 | | | (7/2,3P2) 37 | (7/2,1D2) 19 |
| 162 023 | 162 024 | −1 | (5/2,3F3) 17 | (5/2,1D2) 19 |
| 163 624 | | | (5/2,1D2) 20 | (5/2,3P2) 34 |
| 165 814 | 165 794 | 20 | (5/2,3P0) 40 | (5/2,3P1) 16 |
| 168 202 | | | (5/2,3P1) 26 | (5/2,1D2) 26 |
| 168 405 | 168 515 | −110 | (5/2,1G4) 47 | (5/2,3P1) 18 |
| 171 956 | 171 889 | 67 | (5/2,3P2) 31 | (5/2,3P1) 30 |
| 186 588 | | | (5/2,1S0) 88 | (5/2,3P0) 6 |
7/2 | 134 538 | | | (7/2,3F2) 62 | (7/2,1D2) 13 |
| 140 134 | | | (7/2,3F3) 71 | (7/2,3F4) 11 |
| 142 952 | | | (7/2,3F4) 33 | (7/2,3F2) 21 |
| 148 469 | | | (7/2,3P0) 30 | (7/2,3F4) 23 |
| 148 858 | | | (7/2,1D2) 38 | (7/2,3P0) 23 |
7/2 | 150 340 | | | (5/2,3F2) 58 | (7/2,3P0) 9 |
| 154 157 | 154 258 | −101 | (7/2,3P1) 50 | (7/2,3P0) 10 |
| 155 764 | | | (7/2,3P2) 34 | (7/2,1G4) 27 |
| 156 376 | 156 365 | 11 | (7/2,1G4) 57 | (7/2,3P2) 14 |
| 157 196 | | | (5/2,3F3) 47 | (5/2,3F4) 12 |
| 161 397 | | | (5/2,3F4) 39 | (5/2,1D2) 40 |
| 164 865 | | | (5/2,1D2) 26 | (5/2,3P1) 26 |
| 167 939 | 167 938 | 1 | (5/2,3P1 23 | (5/2,3P2) 18 |
| 169 357 | 169 372 | −15 | (5/2,3P2) 45 | (5/2,3P1) 35 |
| 171 532 | 171 536 | −4 | (5/2,1G4) 72 | (7/2,1S0) 14 |
| 174 202 | | | (7/2,1S0) 70 | (5/2,3P2) 8 |
9/2 | 137 224 | | | (7/2,3F2) 82 | (7/2,1D2) 8 |
| 139 438 | | | (7/2,3F3) 43 | (7/2,3F4) 18 |
| 144 687 | | | (7/2,3F4) 27 | (7/2,3F3) 40 |
| 148 057 | | | (7/2,1D2) 44 | (7/2,3F4) 39 |
| 149 404 | | | (5/2,3F2) 81 | (5/2,1D2) 5 |
| 151 030 | | | (7/2,3P1 46 | (7/2,1D2) 24 |
| 154 594 | | | (7/2,3P2) 30 | (5/2,3F3) 36 |
| 156 127 | | | (5/2,3F3) 50 | (7/2,3P1) 16 |
| 158 610 | | | (7/2,1G4) 43 | (5/2,3F4) 35 |
| 159 953 | | | (5/2,3F4) 26 | (7/2,1G4) 24 |
| 163 456 | | | (5/2,1D2) 60 | (5/2,3F4) 26 |
| 171 679 | | | (5/2,3P2) 64 | (5/2,1G4) 29 |
| 174 021 | | | (5/2,1G4) 63 | (5/2,3P2) 16 |
11/2 | 136 258 | | | (7/2,3F2) 92 | (7/2,1D2) 7 |
| 141 363 | | | (7/2,3F3) 97 | (7/2,3P2) 2 |
| 145 472 | | | (7/2,3F4) 60 | (7/2,3P2) 18 |
| 150 096 | | | (7/2,1D2) 63 | (7/2,3F4) 27 |
| 153 952 | | | (5/2,3F3) 92 | (5/2,3F4) 4 |
| 155 938 | | | (7/2,3P2) 53 | (7/2,1G4) 24 |
| 160 723 | | | (7/2,1G4) 34 | (5/2,3F4) 23 |
| 161 842 | | | (5/2,3F4) 55 | (7/2,1G4) 35 |
| 172 018 | | | (5/2,1G4) 96 | (5/2,3F4) 3 |
13/2 | 139 863 | | | (7/2,3F3) 100 | |
| 144 854 | | | (7/2,3F4) 97 | (7/2,1G4) 3 |
| 156 602 | | | (7/2,1G4) 79 | (5/2,1G4) 14 |
| 157 791 | | | (5/2,3F4) 82 | (7/2,1G4) 10 |
| 165 227 | | | (5/2,1G4) 78 | (5/2,3F4) 13 |
15/2 | 142 960 | | | (7/2,3F4) 97 | (7/2,1G4) 3 |
| 150 093 | | | (7/2,1G4) 97 | (7/2,3F4) 3 |
Table VI
Energy levels of Hf v.
Configuration | Designation | J | Level (cm−1) | Unc. |
---|
4f14 | 1S | 0 | 0.00 | 0.5 |
4f13(2F7/2)5d | (7/2,3/2)° | 2 | 156 785.87 | 0.15 |
| | 5 | 161 705.88 | 0.18 |
| | 3 | 164 621.73 | 0.13 |
| | 4 | 166 051.67 | 0.12 |
| (7/2,5/2)° | 1 | 166 667.05 | 0.18 |
| | 6 | 166 780.4 | 0.4 |
| | 2 | 168 341.35 | 0.12 |
| | 4 | 171 240.86 | 0.11 |
| | 3 | 172 327.17 | 0.11 |
| | 5 | 173 212.31 | 0.17 |
4f13(2F5/2)5d | (5/2,3/2)° | 4 | 175 073.22 | 0.13 |
| | 2 | 176 850.41 | 0.11 |
| | 3 | 181 271.17 | 0.11 |
| | 1 | 183 346.90 | 0.13 |
| (5/2,5/2)° | 0 | 174 433.1 | 0.4 |
| | 1 | 181 044.27 | 0.13 |
| | 5 | 181 867.07 | 0.18 |
| | 2 | 183 261.02 | 0.16 |
| | 3 | 185 638.77 | 0.15 |
| | 4 | 186 590.15 | 0.20 |
4f13(2F7/2)6s | (7/2,1/2)° | 4 | 212 533.85 | 0.04 |
| | 3 | 213 068.38 | 0.04 |
4f13(2F5/2)6s | (5/2,1/2)° | 2 | 226 041.41 | 0.04 |
| | 3 | 226 461.70 | 0.04 |
4f13(2F7/2)6p | (7/2,1/2) | 3 | 269 705.84 | 0.05 |
| | 4 | 270 205.15 | 0.05 |
| (7/2,3/2) | 5 | 282 087.73 | 0.08 |
| | 2 | 282 253.22 | 0.06 |
| | 3 | 282 830.93 | 0.05 |
| | 4 | 284 133.06 | 0.06 |
4f13(2F5/2)6p | (5/2,1/2) | 3 | 283 875.57 | 0.04 |
| | 2 | 284 204.00 | 0.05 |
| (5/2,3/2) | 1 | 294 632.56 | 0.08 |
| | 4 | 296 038.21 | 0.08 |
| | 2 | 296 787.22 | 0.07 |
| | 3 | 297 465.23 | 0.07 |
4f13(2F7/2)6d | (7/2,3/2)° | 2 | 360 840.3 | 0.4 |
| | 5 | 361 716.4 | 0.3 |
| | 3 | 362 433.7 | 0.3 |
| | 4 | 362 804.8 | 0.3 |
| (7/2,5/2)° | 6 | 363 254.6 | 0.3 |
| | 2 | 363 687.2 | 0.3 |
| | 1 | | |
| | 4 | 364 488.9 | 0.3 |
| | 3 | 364 674.5 | 0.3 |
| | 5 | 364 808.9 | 0.3 |
4f13(2F7/2)7s | (7/2,1/2)° | 4 | 370 000.1 | 0.3 |
| | 3 | 370 198.0 | 0.2 |
4f13(2F5/2)6d | (5/2,3/2)° | 4 | 375 066.4 | 0.3 |
| | 2 | 375 670.4 | 0.3 |
| | 1 | 376 199.8 | 0.4 |
| | 3 | 376 598.5 | 0.2 |
| (5/2,5/2)° | 0 | | |
| | 1 | 376 801.4 | 0.3 |
| | 5 | 377 102.5 | 0.4 |
| | 2 | 377 507.2 | 0.4 |
| | 3 | 378 074.2 | 0.3 |
| | 4 | 378 278.5 | 0.3 |
4f13(2F5/2)7s | (5/2,1/2)° | 2 | 383 508.8 | 0.2 |
| | 3 | 383 667.1 | 0.2 |
Table VII
Values for the radial energy integrals (parameters) of Hf v obtained by least-squares fitting of the calculated to the experimental levels. Units are cm−1.
Parameter | 4f135d | 4f136d | Configuration 4f136p | 4f136s | 4f137s |
---|
A | 182 152(360) | 371 429(62) | 287 309(73) | 218 800(4) | 375 967(2) |
F2(fd) | 28 408(190) | 6 540(65) | | | |
F4(fd) | 18 629(340) | 3 381(150) | | | |
G1(fd) | 9 120(40) | 2 063(30) | | | |
G3(fd) | 11 133(440) | 2 649(120) | | | |
G5(fd) | 7 418(580) | 1 783(150) | | | |
D1(fd) | 1 325(240) | | | | |
D3(fd) | 0 (fixed) | | | | |
X2(fd) | −2 342(290) | | | | |
X4(fd) | −3 524(890) | | | | |
F2(fP) | | | 9 562(65) | | |
G2(fP) | | | 3 021(53) | | |
G4(fP) | | | 2 858(160) | | |
D1(fp) | | | 260(76) | | |
X1(fP) | | | 0 (fixed) | | |
G3(fs) | | | | 3 345(39) | 1 244(23) |
ζρ | | | 8 487(10) | | |
ζd | 2 550(13) | 754(5) | | | |
ζf | 3 855(8) | 3 856(3) | 3 859(4) | 3 858(2) | 3 860(1) |
rms error | 59 | 23 | 19 | 6 | 3 |
Table VIII
Calculated energy levels and percentage composition in J1j coupling of the 4f135d configuration of Hf v. The first two components of the eigenvectors are given. Units for the levels are cm−1.
| Levels | Calc. minus.obs. | Composition (%) |
---|
J | Calculated | Observed |
---|
0 | 174 418 | 174 433 | −15 | (5/2,5/2) 100 | |
1 | 166 593 | 166 667 | −74 | (7/2,5/2) 63 | (5/2,3/2) 23 |
| 181 040 | 181 044 | −4 | (5/2,5/2) 77 | (5/2,3/2) 21 |
| 183 351 | 183 347 | 4 | (5/2,3/2) 56 | (7/2,5/2) 35 |
2 | 156 871 | 156 786 | 85 | (7/2,3/2) 85 | (7/2,5/2) 13 |
| 168 342 | 168 341 | 1 | (7/2,5/2) 86 | (7/2,3/2) 14 |
| 176 848 | 176 850 | −2 | (5/2,3/2) 98 | (5/2,5/2) 1 |
| 183 257 | 183 261 | −4 | (5/2,5/2) 98 | (5/2,3/2) 1 |
3 | 164 627 | 164 622 | 5 | (7/2,3/2) 97 | (7/2,5/2) 3 |
| 172 317 | 172 327 | −10 | (7/2,5/2) 95 | (7/2,3/2) 2 |
| 181 230 | 181 271 | −41 | (5/2,3/2) 98 | (7/2,5/2) 1 |
| 185 719 | 185 639 | 80 | (5/2,5/2) 98 | (7/2,5/2) 1 |
4 | 165 977 | 166 052 | −75 | (7/2,3/2) 96 | (7/2,5/2) 3 |
| 171 231 | 171 241 | −10 | (7/2,5/2) 90 | (5/2,3/2) 9 |
| 175 088 | 175 073 | 15 | (5/2,3/2) 88 | (7/2,5/2) 8 |
| 186 620 | 186 590 | 30 | (5/2,5/2) 97 | (5/2,3/2) 2 |
5 | 161 739 | 161 706 | 33 | (72/,3/2) 97 | (7/2,5/2) 2 |
| 173 229 | 173 212 | 17 | (7/2,5/2) 96 | (5/2,5/2) 2 |
| 181 826 | 181 867 | −41 | (5/2,5/2) 97 | (7/2,5/2) 2 |
6 | 166 776 | 166 780 | −4 | (7/2,5/2) 100 | |
Table IX
Calculated energy levels and percentage composition in J1j coupling of the 4f136d configuration of Hf v. The first two components of the eigenvectors are given. Units for the levels are cm−1.
J | Levels | Calc. minus obs. | Composition (%) |
---|
Calculated | Observed |
---|
0 | 375 594 | | | (5/2,5/2) 100 | |
1 | 364 441 | | | (7/2,5/2) 98 | (5/2,3/2) 2 |
| 376 201 | 376 200 | 1 | (5/2,3/2) 77 | (5/2,5/2) 20 |
| 376 810 | 376 801 | −9 | (5/2,5/2) 79 | (5/2,3/2) 21 |
2 | 360 818 | 360 840 | −22 | (7/2,3/2) 91 | (7/2,5/2) 9 |
| 363 700 | 363 687 | 13 | (7/2,5/2) 91 | (7/2,3/2) 9 |
| 375 659 | 375 670 | −11 | (5/2,3/2) 98 | (5/2,5/2) 2 |
| 377 468 | 377 507 | −39 | (5/2,5/2) 98 | (5/2,3/2) 2 |
3 | 362 414 | 362 434 | −20 | (7/2,3/2) 97 | (7/2,5/2) 3 |
| 364 669 | 364 675 | −6 | (7/2,5/2) 97 | (7/2,3/2) 3 |
| 376 611 | 376 599 | 12 | (5/2,3/2) 100 | |
| 378 073 | 378 074 | −1 | (5/2,5/2) 100 | |
4 | 362 801 | 362 805 | −4 | (7/2,3/2) 98 | (7/2,5/2) 2 |
| 364 509 | 364 489 | 20 | (7/2,5/2) 98 | (7/2,3/2) 2 |
| 375 093 | 375 066 | 27 | (5/2,3/2) 98 | (5/2,5/2) 2 |
| 378 287 | 378 278 | 9 | (5/2,5/2) 98 | (5/2,3/2) 2 |
5 | 361 731 | 361 716 | 15 | (7/2,3/2) 98 | (7/2,5/2) 2 |
| 364 790 | 364 809 | −19 | (7/2,5/2) 98 | (7/2,3/2) 2 |
| 377 092 | 377 102 | −10 | (5/2,5/2) 100 | |
6 | 363 277 | 363 255 | 22 | (7/2,5/2) 100 | |
Table X
Calculated energy levels and percentage composition in J1j coupling of the 4f136p configuration of Hf v. The first two components of the eigenvectors are given. Units for the levels are cm−1.
J | Levels | Calc. minus obs. | Composition (%) |
---|
Calculated | Observed |
---|
1 | 294 611 | 294 633 | −22 | (5/2,3/2) 100 | |
2 | 282 274 | 282 253 | 21 | (7/2,3/2) 91 | (5/2,1/2) 8 |
| 284 194 | 284 204 | −10 | (5/2,1/2) 91 | (7/2,3/2) 9 |
| 296 782 | 296 787 | −5 | (5/2,3/2) 99 | (5/2,1/2) 1 |
3 | 269 715 | 269 706 | 9 | (7/2,1/2) 99 | (7/2,3/2) 1 |
| 282 828 | 282 831 | −3 | (7/2,3/2) 55 | (5/2,1/2) 44 |
| 283 884 | 283 876 | 8 | (5/2,1/2) 55 | (7/2,3/2) 44 |
| 297 472 | 297 465 | 6 | (5/2,3/2) 100 | |
4 | 270 196 | 270 205 | −9 | (7/2,1/2) 100 | |
| 284 115 | 284 133 | −18 | (7/2,3/2) 100 | |
| 296 051 | 296 038 | 13 | (5/2,3/2) 100 | |
5 | 282 078 | 282 088 | −10 | (7/2,3/2) 100 | |