X-Ray source
Description
The ID03 beamline is illuminated by three undulators installed in a low-β section of the ESRF synchrotron ring. The source size is 140x50 µm (fwhm) HxV, with a beam divergence of 210x16 µrad (fwhm) HxV.
- The insertion device vessel has a 10 mm thickness allowing a minimum undulator gap of 11 mm.
- The beamline is equipped with a high power front end allowing the simultaneous use of more than one undulator completely closed to the minimum gap.
- Two undulators have a 35 mm period and the third one has a 42 mm period.
The next two figures give the calculated photon flux for the two different undulators for the same value of the deflection coefficient K=2.3, which corresponds to a closed gap of 11 mm for the U35. The energy bandwidth for the calculations is 0.1%. The actual bandwidth for a double-bounce Si(111) crystal is about 0.01%.
The values in the tables below give the theoretical power, the photon energy and the flux as a function of the gap of the U35 and U42 undulators for the 1st, 3rd, 5th and 7th harmonics. The flux was calculated for the optical acceptance of the monochromator and mirror which is 5x0.7 mm @34m from the source. The energy bandwidth for the calculations is 0.1%. The actual bandwidth for a double-bounce Si(111) crystal is about 0.01%.
|
U42 |
|
1st harmonics |
3rd harmonics |
5th harmonics |
7th harmonics |
||||
|
Gap [mm]
|
Power [W] |
E [eV]
|
ph/s/0.1%
|
E [eV]
|
ph/s/0.1%
|
E [eV]
|
ph/s/0.1%
|
E [eV]
|
ph/s/0.1%
|
|
16 |
122 |
2280 |
2.24E+14 |
6879 |
1.61E+14 |
11479 |
9.41E+13 |
16080 |
5.26E+13 |
|
17 |
113 |
2534 |
2.30E+14 |
7639 |
1.58E+14 |
12748 |
8.56E+13 |
17859 |
4.50E+13 |
|
18 |
104 |
2799 |
2.35E+14 |
8443 |
1.53E+14 |
14090 |
7.60E+13 |
19738 |
3.72E+13 |
|
19 |
96 |
3077 |
2.38E+14 |
9283 |
1.44E+14 |
15494 |
6.57E+13 |
21706 |
2.95E+13 |
|
20 |
88 |
3366 |
2.40E+14 |
10155 |
1.32E+14 |
16949 |
5.50E+13 |
23744 |
2.25E+13 |
|
21 |
81 |
3661 |
2.38E+14 |
11047 |
1.19E+14 |
18439 |
4.45E+13 |
25833 |
1.64E+13 |
|
22 |
75 |
3960 |
2.35E+14 |
11952 |
1.05E+14 |
19950 |
3.49E+13 |
27950 |
1.14E+13 |
|
23 |
68 |
4260 |
2.30E+14 |
12858 |
9.03E+13 |
21464 |
2.64E+13 |
30072 |
7.56E+12 |
|
24 |
62 |
4558 |
2.23E+14 |
13757 |
7.58E+13 |
22966 |
1.93E+13 |
32175 |
4.78E+12 |
|
25 |
57 |
4849 |
2.15E+14 |
14638 |
6.21E+13 |
24438 |
1.36E+13 |
34238 |
2.88E+12 |
|
26 |
51 |
5132 |
2.04E+14 |
15493 |
4.97E+13 |
25864 |
9.31E+12 |
36238 |
1.66E+12 |
|
27 |
46 |
5403 |
1.93E+14 |
16312 |
3.89E+13 |
27235 |
6.15E+12 |
38158 |
9.12E+11 |
|
28 |
42 |
5660 |
1.80E+14 |
17091 |
2.98E+13 |
28536 |
3.93E+12 |
39981 |
4.80E+11 |
|
29 |
37 |
5903 |
1.67E+14 |
17824 |
2.24E+13 |
29760 |
2.43E+12 |
41697 |
2.43E+11 |
|
30 |
33 |
6128 |
1.54E+14 |
18508 |
1.65E+13 |
30901 |
1.46E+12 |
43297 |
1.18E+11 |
|
31 |
29 |
6337 |
1.41E+14 |
19139 |
1.20E+13 |
31957 |
8.57E+11 |
44776 |
5.54E+10 |
|
32 |
26 |
6528 |
1.28E+14 |
19719 |
8.57E+12 |
32925 |
4.89E+11 |
46133 |
2.52E+10 |
|
33 |
22 |
6703 |
1.15E+14 |
20247 |
6.05E+12 |
33807 |
2.73E+11 |
47370 |
1.11E+10 |
|
34 |
20 |
6861 |
1.03E+14 |
20725 |
4.21E+12 |
34606 |
1.49E+11 |
48488 |
4.80E+09 |
|
35 |
17 |
7003 |
9.25E+13 |
21155 |
2.90E+12 |
35324 |
8.01E+10 |
49495 |
2.02E+09 |
|
U35 |
|
1st harmonics |
3rd harmonics |
5th harmonics |
7th harmonics |
||||
|
Gap [mm]
|
Power [W] |
E [eV]
|
ph/s/0.1%
|
E [eV]
|
ph/s/0.1%
|
E [eV]
|
ph/s/0.1%
|
E [eV]
|
ph/s/0.1%
|
|
11 |
179 |
2634 |
2.87E+14 |
7940 |
2.05E+14 |
13247 |
1.19E+14 |
18556 |
6.75E+13 |
|
12 |
163 |
2992 |
2.97E+14 |
9017 |
1.98E+14 |
15045 |
1.07E+14 |
21076 |
5.66E+13 |
|
13 |
148 |
3374 |
3.03E+14 |
10170 |
1.89E+14 |
16971 |
9.32E+13 |
23774 |
4.50E+13 |
|
14 |
134 |
3778 |
3.05E+14 |
11388 |
1.75E+14 |
19004 |
7.74E+13 |
26622 |
3.39E+13 |
|
15 |
121 |
4197 |
3.05E+14 |
12655 |
1.57E+14 |
21119 |
6.16E+13 |
29584 |
2.40E+13 |
|
16 |
110 |
4627 |
3.03E+14 |
13952 |
1.36E+14 |
23284 |
4.68E+13 |
32618 |
1.59E+13 |
|
17 |
99 |
5060 |
2.95E+14 |
15258 |
1.14E+14 |
25465 |
3.38E+13 |
35675 |
9.86E+12 |
|
18 |
88 |
5489 |
2.84E+14 |
16554 |
9.26E+13 |
27629 |
2.33E+13 |
38706 |
5.71E+12 |
|
19 |
79 |
5907 |
2.69E+14 |
17818 |
7.25E+13 |
29740 |
1.52E+13 |
41665 |
3.08E+12 |
|
20 |
70 |
6309 |
2.53E+14 |
19034 |
5.49E+13 |
31770 |
9.50E+12 |
44509 |
1.56E+12 |
|
21 |
62 |
6690 |
2.34E+14 |
20184 |
4.03E+13 |
33691 |
5.65E+12 |
47201 |
7.39E+11 |
|
22 |
54 |
7045 |
2.14E+14 |
21258 |
2.88E+13 |
35484 |
3.21E+12 |
49714 |
3.30E+11 |
|
23 |
47 |
7372 |
1.94E+14 |
22247 |
2.00E+13 |
37136 |
1.75E+12 |
52028 |
1.39E+11 |
|
24 |
40 |
7669 |
1.73E+14 |
23147 |
1.36E+13 |
38639 |
9.14E+11 |
54135 |
5.58E+10 |
|
25 |
34 |
7938 |
1.54E+14 |
23957 |
9.01E+12 |
39991 |
4.61E+11 |
56030 |
2.14E+10 |
|
26 |
29 |
8176 |
1.36E+14 |
24679 |
5.88E+12 |
41197 |
2.26E+11 |
57719 |
7.88E+09 |
|
27 |
25 |
8387 |
1.19E+14 |
25316 |
3.77E+12 |
42261 |
1.08E+11 |
0 |
0.00E+00 |
|
28 |
21 |
8571 |
1.03E+14 |
25875 |
2.39E+12 |
43193 |
5.01E+10 |
0 |
0.00E+00 |
|
29 |
18 |
8732 |
8.88E+13 |
26360 |
1.49E+12 |
44005 |
2.28E+10 |
0 |
0.00E+00 |
|
30 |
15 |
8871 |
7.63E+13 |
26781 |
9.23E+11 |
44706 |
1.02E+10 |
0 |
0.00E+00 |