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Relax disp.spin lock offset+field

4,916 bytes added, 16:01, 6 November 2015
→‎Literature comments: Switched to labelled section transclusions for the citation.
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== Setting up relax_disp.spin_lock_offset and relax_disp.spin_lock_field ==
[http://www.nmr-relax.com/manual/Dispersion_model_summary.html Refer to the manual for parameter explanation]
This page is a little help to understand how to use the functions:#relax_disp.spin_lock_offset()#relax_disp.spin_lock_field() === spin lock offset ===[http://www.nmr-relax.com/manual/relax_disp_spin_lock_offset.html Manual on relax_disp.spin_lock_offset]<br>The relax function relax_disp.spin_lock_offset() requires the values to be provided in ppm. relax_disp.spin_lock_offset(spectrum_id=None, offset=None) === spin lock field ===[http://www.nmr-relax.com/manual/relax_disp_spin_lock_field.html Manual on relax_disp.spin_lock_field]<br>The relax function relax_disp.spin_lock_field() requires the values to be provided in Hz.
relax_disp.spin_lock_field(spectrum_id=None, field=None)
== Literature comments ==See Figure 1 and 10 in the reference: * {{#lst:Citations|PalmerMassi06}} [[httpFile://wwwFig1 Palmer Massi 2006.png|thumb|center|upright=3|Try to reproduce Figure 1.]]Figure produced with script [[Relax_disp.spin_lock_offset%2Bfield_figure | found here.nmr]] == Calculations in relax ===== spin lock offset ===In the literature, the values are often stated as "offset", "carrier offset", "offset of the spin-lock pulse" with values given in Hz, and can have values from 0-500 to 10-20.000 Hz.<br>These values reflects offset frequencies to the carrier frequency, and in relaxis noted as '''"Spin-lock offset, the frequency of of the rf field"''' : {{:omegarf}}.com Relax needs input for {{:omegarf}} in ppm, and during calculations converts to the rad/manual/relax_disp_spin_lock_offsets, with the following function call.html Manual on relax_disp<source lang="python">offsets[ei][si][mi][oi] = frequency_to_rad_per_s(frq=cdp.spin_lock_offset[id], B0=frq, isotope=spin.isotope)</source> If you need to convert to ppm from Hz values, consider during this in your relax script. <br>If for example you have recorded at a 800 MHz spectrometer, you could find the Carrier position for <sup>15</sup>N (Value of yCar in NMRPipe scripts). If yCAR = 118.078 ppm, then<source lang="python">from lib.nmr import frequency_to_Hz, frequency_to_ppm # Spectrometer frequencysfrq = 799.7773991 # MHz# Carrier positionyCAR = 118.078 # ppm  # We take the absolute value, since the gyromagnetic ratio of N15 is negative.yCAR_Hz = abs(frequency_to_Hz(frq=yCAR, B0=sfrq*1E6, isotope='15N'))# We add the offset (deltadof2 in varian pulse sequences) in Hz, and from 0 to 10.000yCar_offset_Hz = yCAR_Hz + float(deltadof2)# The convert back from Hz to ppm. Again absolute value, because of the gyromagnetic ratio of N15 is negative.yCar_offset_ppm = abs(frequency_to_ppm(frq=yCar_offset_Hz, B0=sfrq*1E6, isotope='15N'))  relax_disp.spin_lock_offset(spectrum_id=Nonesp_id, offset=NoneyCar_offset_ppm)</source>   '''Offset in the literature'''<br> The offset is in the literature noted as Ω<sub>S</sub>, where Ω<sub>S</sub> is the (Ex. <sup>15</sup>N) resonance offset from the spin-lock carrier. Note that Ω<sub>S</sub> is dependent of the [[wikipedia:Chemical_shift | chemical shifts]] δ in ppm for the nuclei of interest.
The [[wikipedia:Chemical_shift | Chemical Shifts]] δ in ppm for nuclei of interest (ex. <sup>15</sup>N and which have been loaded in with relax function [http://www.nmr-relax.com/manual/Dispersion_model_summarychemical_shift_read.html Refer chemical_shift_read] from a [http://www.nmr-relax.com/manual/spectrum_read_intensities.html peak list formatted file]) is first converted to to the manual for parameter explanation]rad/s with the following function calls.
The relax function relax_disp.spin_lock_offset() requires the values to be provided in ppm.<math>\bar{\omega}_{S,i} = 2\pi \cdot \delta_{S,i} \cdot B_0 \cdot \frac{\gamma_{^{15}N}}{\gamma_{^{1}H}}</math>
<source lang="python">shifts[ei][si][mi] = Literature comments frequency_to_rad_per_s(frq=shift, B0=See Figure 1 and 10 in the reference. Palmerfrq, A.G. & Massi, Fisotope=spin. (2006isotope). Characterization of the dynamics of biomacromolecules using rotating-frame spin relaxation NMR spectroscopy. Chem. Rev. 106, 1700-1719 [http://dx.doi.org/10.1021</cr04042875 DOI]source>
Then <span style="text-decoration: overline">Ω<sub>S</sub></span> is calculated with: <span style="text-decoration: overline">Ω<sub>S,i</sub></span> = <span style="text-decoration: overline">Ω<sub>S,i</sub></span> - {{:omegarf}}, where <span style="text-decoration: overline">Ω</span> is the population averaged Larmor frequency of the spin and comes from the conversion of the [[Filewikipedia:Fig1 Palmer Massi 2006.pngChemical_shift |thumb|Try Chemical Shifts]] δ<sub>S,i</sub> to reproduce Figure 1frequency <span style="text-decoration: overline">Ω<sub>S,i</sub></span>.<source lang="python">Delta_omega = shifts[ei][si][mi] - offsets[ei][si][mi][oi]</source>
=== spin lock field ===
The spin lock field strength is noted {{:nu1}}, and relax requires these to be provided in unit of '''rad/s'''.<br>
 
The spin lock field strength is converted to rad/s, with the following function call.
 
<math>
\omega_{S,1} = 2\pi \cdot \nu_{S,1}
</math>
 
<source lang="python">
omega1 = point * 2.0 * pi
</source>
 
Then the Rotating frame tilt angle θ is calculated.
 
<math>
\theta = \tan^{-1} \left( \frac{\omega_1}{\bar{\Omega}_{S,i}} \right)
</math>
 
<source lang="python">
if Delta_omega == 0.0:
theta[ei][si][mi][oi].append(pi / 2.0)
# Calculate the theta angle describing the tilted rotating frame relative to the laboratory.
# If Delta_omega is negative, there follow the symmetry of atan, that atan(-x) = - atan(x).
# Then it should be: theta = pi + atan(-x) = pi - atan(x) = pi - abs(atan( +/- x))
elif omega1 / Delta_omega > 0 :
theta[ei][si][mi][oi].append(atan(omega1 / Delta_omega))
else:
theta[ei][si][mi][oi].append(pi + atan(omega1 / Delta_omega))
</source>
== Code reference calculations in relax ==The offset code which is called resides in the literature noted as $\Omega$, where Omega:
In the literature'''lib/nmr.py''' frequency_to_rad_per_s(frq=None, B0=None, the values are often stated as isotope=None):<source lang="offsetpython", >"carrier offset", "offset of Convert the spin-lock pulse" with values given in Hz, and have values frequency from 0-500 ppm to 10-20rad/s units.000 Hz"""return frq * 2.0 * pi * B0 / g1H * return_gyromagnetic_ratio(isotope) * 1e-6</source>
'''specific_analyses/relax_disp/disp_data.py''' return_offset_data(spins=None, spin_ids=None, field_count= spin lock offset ==None, fields=None):
Data structures<source lang== The trouble =="python">"""The trouble isdata structures consist of many different index types. These are:
Does - Ei: The index for each experiment type.- Si: The index for each spin of the Hz frequency refers to RF fields applied at spin cluster.- Mi: The index for each magnetic field strength.- Oi: The index for each spin-lock offset.- Di: The index for each dispersion point, the 1H Larmor frequency or 15N frequency?spin-lock field strength."""</source>
At page 1708 is states that w_1S = w_1 and w_eS = w_e.And in pulse sequence it states that:Spectrometer notes ==
=== Varian / VnmrJ ===
In some pulse sequences, the following is seen:
'trim' is a basic timeunit and the total spinlock time is calculated as '''2.0*ncyc*trim'''
b1 = getval("b1"), /* spin-lock field, Hz! */
deltadof2 = getval("deltadof2"), /* offset for N15 spinlock */
== See also ==
[[Category:Relaxation dispersion analysis]]
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