Hahn echo nutation NMR
applied to a powder:
JDK1.0.2 applet

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Determination of the quadrupole coupling constant from a featureless NMR lineshape

Hahn echo sequence with pulse lengths p1 and p2 for nutation NMR

In the basic two-pulse Hahn echo sequence on half-integer quadrupole spins, the single-quantum coherences generated by the first pulse are refocused as echoes by the second pulse. The observation of these echoes, located at tau2 = tau1, requires the optimization of the two pulse-lengths p1 and p2.

An echo amplitude is a product of two functions. The first function A(p1), called the excitation function, depends on p1. The second function B(p2), called the conversion function, depends on p2.

IMAGE: Parameters for the simulation of Hahn echo amplitude in nutation NMR

The left part of the simulation panel indicates the physical parameters. It is preset for a typical experiment on a spin I = 3/2 in a powder. You can introduce your own values.

First, we select with the choice box one of the three types of calculation available. The first two cases could be checked experimentally, whereas the last case is a theoretical result:
(1) A(p1)B(): the echo amplitude with p1 variable and p2 constant;
(2) A()B(p2): the echo amplitude with p1 constant and p2 variable;
(3) B(p2): the conversion function.

When a pulse length is constant, it should be provided in the MinLength field.

MinLength: the first variable pulse-length in s

MaxLength: the last variable pulse-length in s

Step: the increment of the variable pulse-length in s

Then, we select the observed coherence, shown in the text-area above the RUN button.

The following applet is initialized for the central-transition Hahn echo amplitude A(p1)B() of a spin I = 3/2 in a powder, with p1 variable and p2 = 5 s. The experimental line intensities are identical to the simulated ones.


JDK1.0.2 applet for Hahn echo nutation NMR applied to a powder Applet for calculating and fitting the NMR powder line intensity of quadrupole spin excited by two-pulse Hahn echo sequence.
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