1. HI H(1) vs V(m+6) & O(0) vs. V(m+7): https://notendur.hi.is/~agust/rannsoknir/rempi/hi/July13/PPT-130725.ppt https://notendur.hi.is/~agust/rannsoknir/rempi/hi/July13/XLS-130725.xls https://notendur.hi.is/~agust/rannsoknir/rempi/hi/July13/PXP-130725.pxp

2. HI, H(1) vs V(m+6) :

3. https://notendur.hi.is/~agust/rannsoknir/rempi/hi/July13/PXP-130725.pxp Idea for fit: Try a straight line which crosses the J´= 2 and 11 points And look for W12 for J´=6; NB: J‘=7 levels are very close in energy and therefore will not give accurate values H(1) vs V(m+6)

4. Coefficient values ± one standard deviation a=2.1922 ± 1.#J b=10.553 ± 1.#J W for HV(1): https://notendur.hi.is/~agust/rannsoknir/rempi/hi/July13/PXP-130725.pxp H(1) vs V(m+6)

5. H(1)Endurskoða EDEDE0E0D(E-E0)EV(J´)EV0W12 J'QQQQQQ 070866,370952,3 170878,0511,751912,745270878,0570961,45 270901,3523,2988423,298270901,35070979,45 370936,2934,9358433,851270935,21,08464571006,2971005,2#NUM! 470981,3445,0579544,404270979,611,73839871040,6471038,91#NUM! 571035,153,760254,957271034,560,54139871083,971083,36#NUM! 671097,0461,9376265,510271100,073,03118371142,5471139,5111,34596 771187,8390,7852476,063271176,1411,6908671181,3371193,02#NUM! 871262,9375,0981186,616271262,750,17276971251,9371252,11,367702 971358,195,1712597,169271359,921,82518271326,771328,52#NUM! 1071463,8105,6997107,722271467,643,84768271409,471413,24#NUM! 1171582,08118,2785118,275271585,923,84438771461,7871465,62 1271702,78120,7027128,828271714,7511,96992 W for HV(1): https://notendur.hi.is/~agust/rannsoknir/rempi/hi/July13/XLS-130725.xls H(1) vs V(m+6)

6. Idea for fit: Try a straight line which fits J´= 3,4 and 11 points And look for W12 for J´=6 H(1) vs V(m+6) https://notendur.hi.is/~agust/rannsoknir/rempi/hi/July13/PXP-130725.pxphttps://notendur.hi.is/~agust/rannsoknir/rempi/hi/July13/PXP-130725.pxp, Lay:0, Gr:0

7. Coefficient values a=3.3 b=10.453 https://notendur.hi.is/~agust/rannsoknir/rempi/hi/July13/PXP-130725.pxphttps://notendur.hi.is/~agust/rannsoknir/rempi/hi/July13/PXP-130725.pxp, Lay:0, Gr:0 H(1) vs V(m+6)

8. H(1)Endurskoða EDEDE0E0D(E-E0)EV(J´)EV0W12 J'QQQQQQ 070866,370952,3 170878,0511,751913,75370878,0570961,45 270901,3523,2988424,20670901,35070979,45 370936,2934,9358434,65970936,010,27684571006,2971006,01#NUM! 470981,3445,0579545,11270981,120,22279871040,6471040,42#NUM! 571035,153,760255,56571036,691,58200271083,971082,328,642855 671097,0461,9376266,01871102,75,66238371142,5471136,8815,01918 771187,8390,7852476,47171179,188,6518671181,3371189,98#NUM! 871262,9375,0981186,92471266,13,17403171251,9371255,1#NUM! 971358,195,1712597,37771363,485,37978271326,771332,08#NUM! 1071463,8105,6997107,8371471,317,51008271409,471416,91#NUM! 1171582,08118,2785118,28371589,597,51458771461,7871469,29 1271702,78120,7027128,73671718,3315,54792 W for HV(2): https://notendur.hi.is/~agust/rannsoknir/rempi/hi/July13/XLS-130725.xls H(1) vs V(m+6)

9. H(1) V(m+6) inside EDEDE0E0D(E-E0)EV(J´)EV0W12sqrt: J'QQQQQQ 070866,370952,3 170878,051911,751902413,75370961,45 270901,350723,298839224,20670979,45 370936,286634,935844834,65970936,28659071006,29 00 470981,344545,057953645,11270981,398590,05404671040,6471040,591,7894223,202031 571035,104753,760255,56571036,963591,85884671083,971082,059,34111387,25639 671097,042461,937618466,01871102,981595,93922871142,5471136,615,32842234,9604 771187,827690,785243276,47171179,452598,37501571181,3371189,7#NUM!-15,7033 871262,925775,098108886,92471266,376593,45087671251,9371255,38#NUM!-26,0511 971358,09795,171249697,37771363,753595,65662671326,771332,35#NUM!-145,621 1071463,7967105,6997107,8371471,583597,78692671409,471417,18#NUM!-362,973 1171582,0752118,2784944118,28371589,866597,79143271461,7871469,57 1271702,7778120,7026672128,73671718,6025915,82476 W for HV(3): H(1) vs V(m+6)

10. V(m+6) H1S+ J' Q linesE-Q=E(J´)DE(J´,J´-1)Q linesE-Q=E(J´)DE(J´,J´-1)DEJ´=EH-EVW(max)=DEJ´/2 0070952,3 70866,3 -8643 112,851970948,670961,459,15190270865,270878,0511,7519-83,441,7 238,5507470940,970979,4517,9988470862,870901,3523,29884-78,139,05 377,0865970929,271006,2926,8358470859,270936,2934,93584-7035 4128,444570912,271040,6434,3579570852,970981,3445,05795-59,329,65 5192,604770891,371083,943,260270842,571035,153,7602-48,824,4 6269,54247087371142,5458,6376270827,571097,0461,93762-45,522,75 7359,227670822,171181,3338,7852470828,671187,8390,785246,53,25 8461,625770790,371251,9370,5981170801,371262,9375,09811115,5 9576,6977075071326,774,7712570781,471358,195,1712531,415,7 10704,39677070571409,482,699770759,471463,8105,699754,427,2 11844,675270617,171461,7852,3784970737,471582,08118,2785120,360,15 12997,4778 70705,371702,78120,7027 H(1) vs V(m+6)

11. 6.5 cm -1 11 cm -1 W12<5.5 W12<3.25! From Dropbox… HI-perturbations-paper-130723hrh, Fig 1a

12. HI, O(0) vs V(m+7) :

13. https://notendur.hi.is/~agust/rannsoknir/rempi/hi/July13/PXP-130725.pxp Try to derive W12 from J´=7 and 8 O(0) vs. V(m+7): Make use of fit through The J‘=1-5 points

14. https://notendur.hi.is/~agust/rannsoknir/rempi/hi/July13/PXP-130725.pxphttps://notendur.hi.is/~agust/rannsoknir/rempi/hi/July13/PXP-130725.pxp; Gr:1, Lay:1 O(0) vs. V(m+7): Coefficient values ± one standard deviation a=0.15823 ± 0.13 b=11.968 ± 0.0393

15. O(0) vs. V(m+7): H(1) V(m+6) EDEDE0E0D(E-E0)EV(J´)EV0W12 J'QQQQQQ 071294,771478,4 171306,7512,051912,1262371306,7571484,65 271330,8524,0988424,0942371330,85071497,15 371366,9936,1358436,0622371366,910,07361571514,5971514,51#NUM! 471415,1448,1579548,0302371414,940,20133871536,6471536,44#NUM! 57147559,860259,9982371474,940,06330871566,971566,84#NUM! 671546,9471,9376271,9662371546,910,03469771603,8471603,81#NUM! 771628,3381,3852483,9342371630,84-2,5142971655,0371657,548,570484 871737,33108,998195,9022371726,7410,5815971702,2371712,8116,10726 971845,3107,9712107,870271834,6110,6826171763,571774,1827,56301 1071963,6118,2997119,838271954,459,144078 811,1456 1172094,68131,0785131,806272086,268,416343 1272236,98142,3027143,774272230,036,94478 1372390,35153,3673155,7422 av(J=7-8)12,33887 https://notendur.hi.is/~agust/rannsoknir/rempi/hi/July13/XLS-130725.xls