HI H(1) vs V(m+6) & O(0) vs. V(m+7):

15
) vs V(m+6) & O(0) vs. V(m+7): ps://notendur.hi.is/~agust/rannsoknir/rempi/hi/July13/PPT-130725.pp ps://notendur.hi.is/~agust/rannsoknir/rempi/hi/July13/XLS-130725.xl ps://notendur.hi.is/~agust/rannsoknir/rempi/hi/July13/PXP-130725.px

description

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. HI, H(1) vs V(m+6) :. - PowerPoint PPT Presentation

Transcript of HI H(1) vs V(m+6) & O(0) vs. V(m+7):

Page 1: HI H(1) vs V(m+6) & O(0) vs. V(m+7):

HIH(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

Page 2: HI H(1) vs V(m+6) & O(0) vs. V(m+7):

HI,

H(1) vs V(m+6) :

Page 3: HI H(1) vs V(m+6) & O(0) vs. V(m+7):

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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 pointsAnd 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)

Page 4: HI H(1) vs V(m+6) & O(0) vs. V(m+7):

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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)

Page 5: HI H(1) vs V(m+6) & O(0) vs. V(m+7):

H(1) EndurskoðaE DE DE0 E0 D(E-E0) EV(J´) EV0 W12

J' Q Q Q Q Q Q0 70866,3 70952,31 70878,05 11,7519 12,7452 70878,05 70961,452 70901,35 23,29884 23,2982 70901,35 0 70979,45 70979,453 70936,29 34,93584 33,8512 70935,2 1,084645 71006,29 71005,2 #NUM!4 70981,34 45,05795 44,4042 70979,61 1,738398 71040,64 71038,91 #NUM!5 71035,1 53,7602 54,9572 71034,56 0,541398 71083,9 71083,36 #NUM!6 71097,04 61,93762 65,5102 71100,07 3,031183 71142,54 71139,51 11,345967 71187,83 90,78524 76,0632 71176,14 11,69086 71181,33 71193,02 #NUM!8 71262,93 75,09811 86,6162 71262,75 0,172769 71251,93 71252,1 1,3677029 71358,1 95,17125 97,1692 71359,92 1,825182 71326,7 71328,52 #NUM!

10 71463,8 105,6997 107,7222 71467,64 3,847682 71409,4 71413,24 #NUM!11 71582,08 118,2785 118,2752 71585,92 3,844387 71461,78 71465,6212 71702,78 120,7027 128,8282 71714,75 11,96992

W for HV(1):

https://notendur.hi.is/~agust/rannsoknir/rempi/hi/July13/XLS-130725.xls

H(1) vs V(m+6)

Page 6: HI H(1) vs V(m+6) & O(0) vs. V(m+7):

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Idea for fit:Try a straight line which fitsJ´= 3,4 and 11 pointsAnd look for W12 for J´=6

H(1) vs V(m+6)

https://notendur.hi.is/~agust/rannsoknir/rempi/hi/July13/PXP-130725.pxp, Lay:0, Gr:0

Page 7: HI H(1) vs V(m+6) & O(0) vs. V(m+7):

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Coefficient values a =3.3

b =10.453

https://notendur.hi.is/~agust/rannsoknir/rempi/hi/July13/PXP-130725.pxp, Lay:0, Gr:0

H(1) vs V(m+6)

Page 8: HI H(1) vs V(m+6) & O(0) vs. V(m+7):

H(1) EndurskoðaE DE DE0 E0 D(E-E0) EV(J´) EV0 W12

J' Q Q Q Q Q Q0 70866,3 70952,31 70878,05 11,7519 13,753 70878,05 70961,452 70901,35 23,29884 24,206 70901,35 0 70979,45 70979,453 70936,29 34,93584 34,659 70936,01 0,276845 71006,29 71006,01 #NUM!4 70981,34 45,05795 45,112 70981,12 0,222798 71040,64 71040,42 #NUM!5 71035,1 53,7602 55,565 71036,69 1,582002 71083,9 71082,32 8,6428556 71097,04 61,93762 66,018 71102,7 5,662383 71142,54 71136,88 15,019187 71187,83 90,78524 76,471 71179,18 8,65186 71181,33 71189,98 #NUM!8 71262,93 75,09811 86,924 71266,1 3,174031 71251,93 71255,1 #NUM!9 71358,1 95,17125 97,377 71363,48 5,379782 71326,7 71332,08 #NUM!

10 71463,8 105,6997 107,83 71471,31 7,510082 71409,4 71416,91 #NUM!11 71582,08 118,2785 118,283 71589,59 7,514587 71461,78 71469,2912 71702,78 120,7027 128,736 71718,33 15,54792

W for HV(2):

https://notendur.hi.is/~agust/rannsoknir/rempi/hi/July13/XLS-130725.xls

H(1) vs V(m+6)

Page 9: HI H(1) vs V(m+6) & O(0) vs. V(m+7):

H(1) H(1) H(1) H(1) H(1) V(m+6) V(m+6) inside E DE DE0 E0 D(E-E0) EV(J´) EV0 W12 sqrt:

J' Q Q Q Q Q Q0 70866,3 70952,31 70878,0519 11,7519024 13,753 70961,452 70901,3507 23,2988392 24,206 70979,45 70979,453 70936,2866 34,9358448 34,659 70936,28659 0 71006,29 71006,29 0 04 70981,3445 45,0579536 45,112 70981,39859 0,054046 71040,64 71040,59 1,789422 3,2020315 71035,1047 53,7602 55,565 71036,96359 1,858846 71083,9 71082,05 9,341113 87,256396 71097,0424 61,9376184 66,018 71102,98159 5,939228 71142,54 71136,6 15,32842 234,96047 71187,8276 90,7852432 76,471 71179,45259 8,375015 71181,33 71189,7 #NUM! -15,70338 71262,9257 75,0981088 86,924 71266,37659 3,450876 71251,93 71255,38 #NUM! -26,05119 71358,097 95,1712496 97,377 71363,75359 5,656626 71326,7 71332,35 #NUM! -145,621

10 71463,7967 105,6997 107,83 71471,58359 7,786926 71409,4 71417,18 #NUM! -362,97311 71582,0752 118,2784944 118,283 71589,86659 7,791432 71461,78 71469,5712 71702,7778 120,7026672 128,736 71718,60259 15,82476

W for HV(3): H(1) vs V(m+6)

Page 10: HI H(1) vs V(m+6) & O(0) vs. V(m+7):

V(m+6) H1S+ J' Q lines E-Q=E(J´) DE(J´,J´-1) Q lines E-Q=E(J´) DE(J´,J´-1) DEJ´=EH-EV W(max)=DEJ´/2

0 0 70952,3 70952,3 70866,3 70866,3 -86 431 12,8519 70948,6 70961,45 9,151902 70865,2 70878,05 11,7519 -83,4 41,72 38,55074 70940,9 70979,45 17,99884 70862,8 70901,35 23,29884 -78,1 39,053 77,08659 70929,2 71006,29 26,83584 70859,2 70936,29 34,93584 -70 354 128,4445 70912,2 71040,64 34,35795 70852,9 70981,34 45,05795 -59,3 29,655 192,6047 70891,3 71083,9 43,2602 70842,5 71035,1 53,7602 -48,8 24,46 269,5424 70873 71142,54 58,63762 70827,5 71097,04 61,93762 -45,5 22,757 359,2276 70822,1 71181,33 38,78524 70828,6 71187,83 90,78524 6,5 3,258 461,6257 70790,3 71251,93 70,59811 70801,3 71262,93 75,09811 11 5,59 576,697 70750 71326,7 74,77125 70781,4 71358,1 95,17125 31,4 15,7

10 704,3967 70705 71409,4 82,6997 70759,4 71463,8 105,6997 54,4 27,211 844,6752 70617,1 71461,78 52,37849 70737,4 71582,08 118,2785 120,3 60,1512 997,4778 70705,3 71702,78 120,7027

H(1) vs V(m+6)

Page 11: HI H(1) vs V(m+6) & O(0) vs. V(m+7):

H(1) vs V(m+6) R

elat

ive

inte

nsity

/a.

u.

70.95x10370.9070.8570.80

Wavenumber /cm-1

H1

+('=1)

Q05 4 ...

6 7

89

O012

m32('=0)

R

2 3 4 5

S2 3 4 5

S2 3 4 V

1

+('=m+6)

Q0123456

78

Q26

H+

I+

HI+

6.5 cm-1

11 cm-1W12<5.5W12<3.25!

From Dropbox… HI-perturbations-paper-130723hrh, Fig 1a

Page 12: HI H(1) vs V(m+6) & O(0) vs. V(m+7):

HI,

O(0) vs V(m+7) :

Page 13: HI H(1) vs V(m+6) & O(0) vs. V(m+7):

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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 throughThe J‘=1-5 points

Page 14: HI H(1) vs V(m+6) & O(0) vs. V(m+7):

https://notendur.hi.is/~agust/rannsoknir/rempi/hi/July13/PXP-130725.pxp; Gr:1, Lay:1

O(0) vs. V(m+7):

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Coefficient values ± one standard deviation a =0.15823 ± 0.13 b =11.968 ± 0.0393

Page 15: HI H(1) vs V(m+6) & O(0) vs. V(m+7):

O(0) vs. V(m+7):

H(1) H(1) H(1) H(1) H(1) V(m+6) V(m+6)E DE DE0 E0 D(E-E0) EV(J´) EV0 W12

J' Q Q Q Q Q Q0 71294,7 71478,41 71306,75 12,0519 12,12623 71306,75 71484,652 71330,85 24,09884 24,09423 71330,85 0 71497,15 71497,153 71366,99 36,13584 36,06223 71366,91 0,073615 71514,59 71514,51 #NUM!4 71415,14 48,15795 48,03023 71414,94 0,201338 71536,64 71536,44 #NUM!5 71475 59,8602 59,99823 71474,94 0,063308 71566,9 71566,84 #NUM!6 71546,94 71,93762 71,96623 71546,91 0,034697 71603,84 71603,81 #NUM!7 71628,33 81,38524 83,93423 71630,84 -2,51429 71655,03 71657,54 8,5704848 71737,33 108,9981 95,90223 71726,74 10,58159 71702,23 71712,81 16,107269 71845,3 107,9712 107,8702 71834,61 10,68261 71763,5 71774,18 27,56301

10 71963,6 118,2997 119,8382 71954,45 9,144078 9,144078 811,145611 72094,68 131,0785 131,8062 72086,26 8,416343 8,41634312 72236,98 142,3027 143,7742 72230,03 6,9447813 72390,35 153,3673 155,7422

av(J=7-8) 12,33887

https://notendur.hi.is/~agust/rannsoknir/rempi/hi/July13/XLS-130725.xls