|
⇤ ← Revision 1 as of 2015-06-08 23:39:57
Size: 456
Comment:
|
Size: 3759
Comment:
|
| Deletions are marked like this. | Additions are marked like this. |
| Line 5: | Line 5: |
| 27 resonances: | more than 37 resonances: ||Quantum|| freq || a1 || a2 ||a3 || a5 || a6 || ||ID || GHz || || ||GHz/10⁵Pa||1/10⁵Pa||1/10⁵Pa|| || 1+||56.264774|| 543.4||0.014||1.703 || 0.3525||-0.0978|| || 3-||62.486253||1503.0||0.083||1.513 ||-0.4499|| 0.0844|| || 3+||58.446588||1442.1||0.083||1.491 || 0.6768||-0.1273|| || 5-||60.306056||2103.4||0.207||1.415 ||-0.6395|| 0.0699|| || 5+||59.590983||2090.7||0.207||1.408 || 0.6957||-0.0776|| || 7-||59.164204||2379.9||0.387||1.353 ||-0.6561|| 0.2309|| || 7+||60.434778||2438.0||0.386||1.339 || 0.6342||-0.2825|| || 9-||58.323877||2363.7||0.621||1.295 ||-0.1932|| 0.0436|| || 9+||61.150562||2479.5||0.621||1.292 || 0.1014||-0.0584|| || 11-||57.612486||2120.1||0.910||1.262 ||-0.5416|| 0.6056|| || 11+||61.800158||2275.9||0.910||1.263 || 0.5014||-0.6619|| || 13-||56.968211||1746.6||1.255||1.223 ||-0.3545|| 0.6451|| || 13+||62.411220||1915.4||1.255||1.217 || 0.3029||-0.6759|| || 15-||56.363399||1331.8||1.654||1.189 ||-0.2378|| 0.6547|| || 15+||62.997984||1490.2||1.654||1.174 || 0.1856||-0.6675|| || 17-||55.783815|| 945.3||2.109||1.134 ||-0.1172|| 0.6135|| || 17+||63.568526||1078.0||2.108||1.134 || 0.0658||-0.6139|| || 19-||55.221384|| 627.1||2.618||1.089 || 0.2560|| 0.2952|| || 19+||64.127775|| 728.7||2.617||1.088 ||-0.3036||-0.2895|| || 21-||54.671180|| 389.7||3.182||1.037 || 0.3558|| 0.2654|| || 21+||64.678910|| 461.3||3.181||1.038 ||-0.3968||-0.2590|| || 23-||54.130025|| 227.3||3.800||0.996 || 0.3170|| 0.3750|| || 23+||65.224078|| 274.0||3.800||0.996 ||-0.3528||-0.3680|| || 25-||53.595775|| 124.6||4.474||0.955 || 0.2227|| 0.5085|| || 25+||65.764779|| 153.0||4.473||0.955 ||-0.2548||-0.5002|| || 27-||53.066934|| 64.29||5.201||0.906 || 0.1349|| 0.6206|| || 27+||66.302096|| 80.40||5.200||0.906 ||-0.1660||-0.6091|| || 29-||52.542418|| 31.24||5.983||0.858 || 0.1388|| 0.6526|| || 29+||66.836834|| 39.80||5.982||0.858 ||-0.1680||-0.6393|| || 31-||52.021429|| 14.32||6.819||0.811 || 0.1667|| 0.6640|| || 31+||67.369601|| 18.56||6.818||0.811 ||-0.1956||-0.6475|| || 33-||51.503360|| 6.193||7.709||0.764 || 0.1947|| 0.6729|| || 33+||67.900868|| 8.172||7.708||0.764 ||-0.2216||-0.6545|| || 35-||50.987745|| 2.529||8.653||0.717 || 0.2246|| 0.680 || || 35+||68.431006|| 3.397||8.652||0.717 ||-0.2492||-0.660 || || 37-||50.474214|| 0.975||9.651||0.669 || 0.2566|| 0.685 || || 37+||68.960312|| 1.334||9.650||0.669 ||-0.2773||-0.665 || ||Quantum|| freq || a1 || a2 ||a3 || a5 || a6 || ||ID || GHz || || ||GHz/10⁵Pa||1/10⁵Pa||1/10⁵Pa|| * a1 is proportional to magnitude of the effect. the center is around 59.4 GHz. * All of these lines are "pressure broadened" - they are sharper and more resonant in thinner air. At full atmospheric pressure, they merge into one broad curve. I was hoping there was a way to take advantage of these resonances - perhaps for beam focusing, or even tailoring a signal to punch through this resonance to reach the ground. If this is possible, it is beyond what I can imagine. |
The 60 GHz Oxygen Resonances
Tretyakov, M. Yu, M. A. Koshelev, V. V. Dorovskikh, D. S. Makarov, and P. W. Rosenkranz. "60-GHz oxygen band: precise broadening and central frequencies of fine-structure lines, absolute absorption profile at atmospheric pressure, and revision of mixing coefficients." Journal of Molecular Spectroscopy 231, no. 1 (2005): 1-14. http://radiometrics.com/data/uploads/2012/11/Tretyakova_JMS_05.pdf
more than 37 resonances:
Quantum |
freq |
a1 |
a2 |
a3 |
a5 |
a6 |
ID |
GHz |
|
|
GHz/10⁵Pa |
1/10⁵Pa |
1/10⁵Pa |
1+ |
56.264774 |
543.4 |
0.014 |
1.703 |
0.3525 |
-0.0978 |
3- |
62.486253 |
1503.0 |
0.083 |
1.513 |
-0.4499 |
0.0844 |
3+ |
58.446588 |
1442.1 |
0.083 |
1.491 |
0.6768 |
-0.1273 |
5- |
60.306056 |
2103.4 |
0.207 |
1.415 |
-0.6395 |
0.0699 |
5+ |
59.590983 |
2090.7 |
0.207 |
1.408 |
0.6957 |
-0.0776 |
7- |
59.164204 |
2379.9 |
0.387 |
1.353 |
-0.6561 |
0.2309 |
7+ |
60.434778 |
2438.0 |
0.386 |
1.339 |
0.6342 |
-0.2825 |
9- |
58.323877 |
2363.7 |
0.621 |
1.295 |
-0.1932 |
0.0436 |
9+ |
61.150562 |
2479.5 |
0.621 |
1.292 |
0.1014 |
-0.0584 |
11- |
57.612486 |
2120.1 |
0.910 |
1.262 |
-0.5416 |
0.6056 |
11+ |
61.800158 |
2275.9 |
0.910 |
1.263 |
0.5014 |
-0.6619 |
13- |
56.968211 |
1746.6 |
1.255 |
1.223 |
-0.3545 |
0.6451 |
13+ |
62.411220 |
1915.4 |
1.255 |
1.217 |
0.3029 |
-0.6759 |
15- |
56.363399 |
1331.8 |
1.654 |
1.189 |
-0.2378 |
0.6547 |
15+ |
62.997984 |
1490.2 |
1.654 |
1.174 |
0.1856 |
-0.6675 |
17- |
55.783815 |
945.3 |
2.109 |
1.134 |
-0.1172 |
0.6135 |
17+ |
63.568526 |
1078.0 |
2.108 |
1.134 |
0.0658 |
-0.6139 |
19- |
55.221384 |
627.1 |
2.618 |
1.089 |
0.2560 |
0.2952 |
19+ |
64.127775 |
728.7 |
2.617 |
1.088 |
-0.3036 |
-0.2895 |
21- |
54.671180 |
389.7 |
3.182 |
1.037 |
0.3558 |
0.2654 |
21+ |
64.678910 |
461.3 |
3.181 |
1.038 |
-0.3968 |
-0.2590 |
23- |
54.130025 |
227.3 |
3.800 |
0.996 |
0.3170 |
0.3750 |
23+ |
65.224078 |
274.0 |
3.800 |
0.996 |
-0.3528 |
-0.3680 |
25- |
53.595775 |
124.6 |
4.474 |
0.955 |
0.2227 |
0.5085 |
25+ |
65.764779 |
153.0 |
4.473 |
0.955 |
-0.2548 |
-0.5002 |
27- |
53.066934 |
64.29 |
5.201 |
0.906 |
0.1349 |
0.6206 |
27+ |
66.302096 |
80.40 |
5.200 |
0.906 |
-0.1660 |
-0.6091 |
29- |
52.542418 |
31.24 |
5.983 |
0.858 |
0.1388 |
0.6526 |
29+ |
66.836834 |
39.80 |
5.982 |
0.858 |
-0.1680 |
-0.6393 |
31- |
52.021429 |
14.32 |
6.819 |
0.811 |
0.1667 |
0.6640 |
31+ |
67.369601 |
18.56 |
6.818 |
0.811 |
-0.1956 |
-0.6475 |
33- |
51.503360 |
6.193 |
7.709 |
0.764 |
0.1947 |
0.6729 |
33+ |
67.900868 |
8.172 |
7.708 |
0.764 |
-0.2216 |
-0.6545 |
|| 35-||50.987745|| 2.529||8.653||0.717 || 0.2246|| 0.680 || || 35+||68.431006|| 3.397||8.652||0.717 ||-0.2492||-0.660 || || 37-||50.474214|| 0.975||9.651||0.669 || 0.2566|| 0.685 || || 37+||68.960312|| 1.334||9.650||0.669 ||-0.2773||-0.665 ||
Quantum |
freq |
a1 |
a2 |
a3 |
a5 |
a6 |
ID |
GHz |
|
|
GHz/10⁵Pa |
1/10⁵Pa |
1/10⁵Pa |
- a1 is proportional to magnitude of the effect. the center is around 59.4 GHz.
- All of these lines are "pressure broadened" - they are sharper and more resonant in thinner air. At full atmospheric pressure, they merge into one broad curve.
I was hoping there was a way to take advantage of these resonances - perhaps for beam focusing, or even tailoring a signal to punch through this resonance to reach the ground. If this is possible, it is beyond what I can imagine.