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DOSY Experiments - Emory University

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nugflag<br />

nugcal_[1-5]<br />

dosyproc<br />

dosybypoints<br />

'n' uses simple mono- or multi-exponential fitting to estimate<br />

diffusion coefficients<br />

'y' uses a modified Stejskal-Tanner equation in which the exponent<br />

is replaced by a power series.<br />

a 5-membered parameter array summarizing the results of the<br />

calibration of non-uniform field gradients. Used if nugflag='y',<br />

requires a preliminary NUG-calibration by the Doneshot_nugmap<br />

sequence. The values are taken from the probe file at the time of<br />

the data acquisition<br />

'discrete' - invokes monoexponential fitting with dosyfit if ncomp=1,<br />

and multiexponential fitting with the external programme SPLMOD<br />

if ncomp>1.<br />

'continuous' invokes processing with the external programme<br />

CONTIN and gives a continuous distribution in the diffusion<br />

domain.<br />

'n' divides the spectrum into individual peaks, creating one crosspeak<br />

for each individual peak found in the 1D spectrum<br />

'y' performs a diffusion fit for every point in the displayed region of<br />

the spectrum that lies above the selected threshold.<br />

4.4 Convection and Convection-Compensation in Diffusion<br />

<strong>Experiments</strong><br />

Convection within the sample tube can seriously affect diffusion experiments, in particular at<br />

elevated temperatures. Convection currents are caused by small temperature gradients in the<br />

sample and result in additional signal decay that can be mistaken for faster diffusion.<br />

The convection conditions are described by the Rayleigh-Bénard equation:<br />

R a<br />

gβR<br />

∂T<br />

=<br />

νχ<br />

∂z<br />

4<br />

Ra = 67 for insulating walls<br />

Ra = 216 for conducting<br />

where g is the gravitational acceleration, ν is the viscosity, χ the thermal diffusivity, β the<br />

expansion coefficient of the liquid, R the internal diameter of the NMR tube and ∂T/∂z the<br />

temperature gradient along the sample axis. When the critical Rayleigh number (Ra) is exceeded<br />

convection will occur. Convection typically causes the following anomalies in diffusion<br />

experiments:<br />

Anomalously large diffusion coefficients (D)<br />

D values that are not independent of gradient duration (δ) and the diffusion delay (del)<br />

Stejskal-Tanner plots that show periodicity<br />

Irregular (non-Arrhenius) temperature dependence of D<br />

A simple calculation based on the Rayleigh-Bénard equation indicates that, for a solvent like<br />

chloroform, a temperature gradient of as little as 0.05 K/cm is sufficient to cause convection flow.<br />

In general, larger temperature gradients are needed for more viscous solvents.<br />

In a typical <strong>DOSY</strong> experiment, a uniform sample flow velocity v introduces a phase modulation of<br />

the signal:<br />

S zi<br />

2 2 2<br />

G ⎟<br />

⎞ zi = S(<br />

0)<br />

exp( −Diγ<br />

δ ( Gzi)<br />

Δ)<br />

* exp( iγδG<br />

Δ))<br />

⎜<br />

⎛ v<br />

⎝ ⎠<br />

32

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