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tumbling becomes slower, both 15 N R 2 and 1 H R 1 increase (the later by proton spin-
flip), resulting in increase in R 2 . To overcome this problem, use of 1 HCWdecoupling
scheme decrease eliminates the 1 H R 1 term, resulting in R 2 determined only by 15 N R 2
[ 110 ]. Further reduction of R 2 is achieved by a pulse sequence in which there is an
additional H Z N Z -relaxation period to set the 1 H R 1 term to be time-independent, called
the “constant relaxation time” scheme [ 106 , 122 ] with combination of TROSY [ 123 ,
124 ]. Alternatively, use of a deuterated 15 N protein is a simple way to reduce the 1 H R 1
contribution in the R 2 in 15 NCPMG R 2 dispersion.
15 N Off-Resonance R 1 r Experiment
4.3
Characterization of milli- to microsecond motions in proteins based on chemical
exchange can also be performed by the dispersion version of the 15 N off-resonance
R 1 r experiment [ 39 , 106 , 125 - 128 ]. As described in the section on 15 N R 2
(Sect. 2.1 ), a simple equation, ( 1 ), is applied to determine R 1 r from R obs and R 1 .
Although a strong B 1 field strength that satisfies
o 1 >>
(
o 0 o rot ) is applied to
minimize the R 1 cos 2
y
term in the standard (on-resonance) R 1 r
experiment, the
(
o 0 o rot ) term is significant and is varied in the off-resonance R 1 r experiment
[ 40 , 106 ]. R 1 r
is plotted as a function of the off-resonance field strength,
o e /2
p
,
1 = 2
0
rot
given by
:
In theory, R 1 r is well-suited to record spectra at high
o e ¼ðo
þ o
Þ
o e /2
p
values because high
o e /2
is achieved by increasing off-resonance field strength without increasing B 1
field strength. However, since R obs decreases as
p
o e /2
p
increases, a longer spin-lock
period is required to record the reduced R obs
and this determines the limits of
o e /2
p
applicable
. Although the sensitivity largely depend on sample concentration
and intrinsic R 2 at each site, the data in the literatures cited above have been mostly
acquired for 140-200 ms with
up to 2-4 kHz.
Most of the experimental parameters are the same as those of the on-resonance
R 1 r experiment except for a couple of points. (1) Constant relaxation-time scheme
is useful to subtract part of the R 1 component and to simplify the R obs equation
[ 106 ], and is also known as an “ R 1 r
o e /2
p
R 1 ” sequence [ 126 ]. (2) A scheme to spin-
lock most of the magnetization uniformly is needed. For this, a scheme with periods
of evolution due to chemical shift offset [ 38 , 39 , 106 ] or adiabatic rotation of
magnetization by amplitude and phase modulated pulses [ 125 , 127 ] is applied.
When there is a large chemical shift dispersion, such as a high magnetic field
strength, the latter has been recommended [ 125 ]. (3) Suppression of DD/CSA cross
correlation and the artifact caused by the antiphase component is required. As
described in the section on 15 N R 2 (Sect. 2.1 ), sequences to take care of these
effects have been used, in particular to record the data at weak off-resonance field
strength [ 38 , 39 ]. For application to large proteins, a TROSY-selected version has
been proposed [ 128 ].
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