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Homogeneous CO Hydrogenation: Ligand Effects on the Lewis Acid ...

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B. Pulsed Gradient Spin-Echo Diffusi<strong>on</strong> NMR Studies <strong>on</strong> 2-E 2.<br />

1 H NMR pulsed gradient spin-echo (PGSE) NMR measurements were performed using <strong>the</strong><br />

standard echo pulse sequence <strong>on</strong> a Varian INOVA 500 MHz spectrometer at 298.15 K without<br />

spinning. The gradient shape was rectangular, with gradient length 2-4.2 ms, and <strong>the</strong> gradient<br />

strength was varied during <strong>the</strong> experiment. The spectra were processed with 2.0 Hz line<br />

broadening, and single exp<strong>on</strong>ential fits of selected res<strong>on</strong>ances provided values for <strong>the</strong> diffusi<strong>on</strong><br />

coefficient D t. The experimental diffusi<strong>on</strong> coefficient was used to obtain values of hydrodynamic<br />

radii and volumes using Chen’s modificati<strong>on</strong> 14 of <strong>the</strong> Stokes-Einstein equati<strong>on</strong>:<br />

D t = kT<br />

cπηr H<br />

6<br />

c =<br />

1+ 0.695 r ⎛⎛ ⎞⎞<br />

solv<br />

⎜⎜ ⎟⎟<br />

⎝⎝ rH ⎠⎠<br />

2.234<br />

(S1)<br />

c = 6 is <strong>the</strong> Stokes-Einstein equati<strong>on</strong>.<br />

The measurements were carried out in C 6D 5Cl (an atypical solvent for diffusi<strong>on</strong> studies),<br />

due to low solubility of 2-E 2 in n<strong>on</strong>polar solvents, reactivity with halogenated alkane solvents<br />

such as CD 2Cl 2, and interacti<strong>on</strong> of <strong>the</strong> borane groups with str<strong>on</strong>g d<strong>on</strong>or solvents such as CD 3CN.<br />

The value for r solv (2.69 x 10 -10 m) 15 in equati<strong>on</strong> S1 is that of C 6H 5Cl, a reas<strong>on</strong>ably good<br />

approximati<strong>on</strong>. The viscosity, η (0.008 Pa s -1 ) 16 is that of C 6D 5Cl. The classical Stokes-Einstein<br />

equati<strong>on</strong> has c = 6, whereas <strong>the</strong> Chen modificati<strong>on</strong> corrects for molecules that are not much<br />

larger than <strong>the</strong> solvent <strong>the</strong>y are in. As expected for a moderately sized organometallic molecule,<br />

S69

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