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Defining BURP shapes

GENERATE
Define the shape from the XWIN-NMR shape tool:
Size of Shape: 1000
ANALYZE
From the Analyze menu we can obtain the following information:  
Shape EBURP-1 EBURP-2 IBURP-1 IBURP-2 UBURP REBURP
Amplitude relative to a  
square pulse of 100%
0.067
0.061
0.149
0.1
0.024
0.08
Corresponding difference to a 100%  
square pulse of the same duration (in dB)
23.46 24.28 16.49 19.94 32.15 21.95
 
 
EBURP-1 Shape 
(in ms)
1 5 10 20 40 60 80 100
Maximum gammaB1  
(on resonance) (in Hz)
3724.9 745.0 372.5 186.2 93.1 62.1 46.6 37.2
Corresponding 90 degree 
square pulse (in ms)
0.067 0.33 0.67 1.34 2.69 4.03 5.37 6.71
Change of power level  
compared to level of a 10 us hard 
90 degree pulse (in dB)
16.53 30.51 36.54 42.56 48.58 52.1 54.6 56.53
 
EBURP-2 Shape 
(in ms)
1 5 10 20 40 60 80 100
Maximum gammaB1  
(on resonance) (in Hz)
4096.0 819.2 409.6 204.8 102.4 68.3 51.2 41.0
Corresponding 90 degree 
square pulse (in ms)
0.061 0.31 0.61 1.22 2.44 3.66 4.88 6.10
Change of power level  
compared to level of a 10 us hard 
90 degree pulse (in dB)
15.71 29.69 35.71 41.73 47.75 51.27 53.77 55.71
 
 
IBURP-1 Shape 
(in ms)
1 5 10 20 40 60 80 100
Maximum gammaB1  
(on resonance) (in Hz)
3340.9 668.2 334.1 167.0 83.5 55.7 41.8 33.4
Corresponding 90 degree 
square pulse (in ms)
0.075 0.37 0.75 1.50 3.00 4.49 5.99 7.48
Change of power level  
compared to level of a 10 us hard 
90 degree pulse (in dB)
23.50 37.48 43.50 49.52 55.54 59.06 61.56 63.5
 
 
IBURP-2 Shape 
(in ms)
1 5 10 20 40 60 80 100
Maximum gammaB1  
(on resonance) (in Hz)
4967.0 993.4 496.7 248.3 124.2 82.8 62.1 49.7
Corresponding 90 degree 
square pulse (in ms)
0.05 0.25 0.5 1.01 2.01 3.02 4.03 5.03
Change of power level  
compared to level of a 10 us hard 
90 degree pulse (in dB)
20.06 34.041 40.06 46.08 52.1 55.62 58.12 60.06
 
 
UBURP Shape 
(in ms)
1 5 10 20 40 60 80 100
Maximum gammaB1  
(on resonance) (in Hz)
10131 2026.35 1013.2 506.6 253.3 168.9 126.6 101.3
Corresponding 90 degree 
square pulse (in ms)
0.025 0.123 0.246 0.49 0.99 1.48 1.97 2.47
Change of power level  
compared to level of a 10 us hard 
90 degree pulse (in dB)
7.85 21.82 27.85 33.87 39.89 43.41 45.91 47.85
 
 
REBURP Shape 
(in ms)
1 5 10 20 40 60 80 100
Maximum gammaB1  
(on resonance) (in Hz)
6258.6 1251.7 625.9 312.9 156.5 104.3 78.2 62.6
Corresponding 90 degree 
square pulse (in ms)
0.04 0.2 0.4 0.8 1.6 2.4 3.2 4
Change of power level  
compared to level of a 10 us hard 
90 degree pulse (in dB)
18.05 32.03 38.05 44.07 50.1 53.61 56.11 58.05
 
MANIPULATE
 More sophisticated excitation schemes can be derived from the Manipulate menu.
NMRSIM
The theoretical excitation and inversion profiles of the BURP shaped pulse can be visualized from the NMRSIM program:

A) E-BURP2 shaped pulse as a excitation element:

B) I-BURP2 shaped pulse as a inversion element: C) I-BURP2 shaped pulse as a refocussing element: D) RE-BURP shaped pulse as a refocussing element:
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