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th  - 1988 - 51st ENC Conference

th  - 1988 - 51st ENC Conference

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116 ]<br />

NODIFICATIONS TO A JEOL GX270 WIDEBORE SPECTROMEI'ER<br />

FOR NAGNETIC RESONANCE IMAGING: PETROGRAPHIC APPLICATIONS<br />

By<br />

National<br />

Daryl A. Doughty and Nicida L. Maerefat<br />

Institute for Petroleum and Energy Production<br />

Bartlesvllle, OK 74005<br />

ABSTRACT<br />

Modification of an existing jEOL GX270/89 NMR spectrometer for imaging<br />

studies is described. Inhouse modifications were made because of <strong>th</strong>e<br />

specialized nature of <strong>th</strong>e petrographic samples and <strong>th</strong>eir restrictions on probe<br />

geometry. Because of <strong>th</strong>e wide proton linewid<strong>th</strong>s measured at 270 MHz for<br />

fluids contained in porous rock <strong>th</strong>e magnetic field of <strong>th</strong>e spectrometer was<br />

reduced to 1.41T (60 MHz proton frequency) for <strong>th</strong>e imaging studies. Details<br />

concerning <strong>th</strong>e probe/gradlent coil assembly and <strong>th</strong>e spectrometer interface<br />

board containing <strong>th</strong>e gradient control and slice-selection circuits are<br />

presented. Results showing <strong>th</strong>e operation of <strong>th</strong>e spectrometer in imaging<br />

phantoms, brine in sandpacks, and fluids in Berea, Cottage Grove, and<br />

Cleveland sandstone cores are also presented.<br />

11 7 J RESONANT EFFECTS IN CP-MAS SPECTRA OF HOMONUCLEAR<br />

DIPOLAR-COUPLED SPIN SYSTEMS ~ Thomas M. Barbara and Gerard S. Harbison:<br />

Department of Chemistry, SUNY at Stony Brook, Stony Brook, NY 11794-5400<br />

The CP-MAS spectra of systems which contain homonuclear dipolar couplings between inequivalent spin-I/2<br />

sped,,, exhibit sisnlflcant broadening of <strong>th</strong>e coupled resonances, which is particularly pronounced when <strong>th</strong>e rotational<br />

frequency vr is • areal/integer multiple of <strong>th</strong>e isotropic chemical 8hilt difference between <strong>th</strong>e nuclei ~6. This resonant<br />

effect has been known for over 20 years but has recently attracted considerable interest. We have developed two<br />

formalissm for underetendlng and calculating <strong>th</strong>e lineshspes of <strong>th</strong>ese systems. The first involves a basis transformation<br />

to • rotating frame which reduces <strong>th</strong>e problem to <strong>th</strong>e fsmJ/Jar double-resonance ¢~e for • two-level system. In <strong>th</strong>e<br />

simplest pmudble model system which exhibits <strong>th</strong>ese phenomena (two coupled spin= wi<strong>th</strong>out • ahlelding anlsotropy<br />

but wi<strong>th</strong> distinct isotropic chemical shifts) <strong>th</strong>e solution of <strong>th</strong>e equations of motion for <strong>th</strong>e on-resonance case, where<br />

A6 -- J0r or 2~'r, gives • splitting which is linearly proportional to <strong>th</strong>e dipolar coupling and dependent on <strong>th</strong>e angle<br />

p between <strong>th</strong>e dipolar and <strong>th</strong>e rotor axis. This anKsdar-dependent splitting leads in unoriented samples to scaled<br />

powder patterns, whose quite distinct shapes for A6 ----- JPr and A6 = 2vr reflect <strong>th</strong>e different dependence on/~ of<br />

<strong>th</strong>ese two rotor resonances. The wid<strong>th</strong> of <strong>th</strong>ese patterns is simply (~/'2D/'.~) 6n~l DI~ for Che ~, ~.d ;;r r=o-=ce~<br />

respectively, (D being <strong>th</strong>e dipolar coupling). These values, while exact only for vonishin~y small D, are correct<br />

to wi<strong>th</strong>in S% for D < =*r- Dipolar effects when A6 ~ =*r or 2=*r can similarly be viewed as Bloch-Siegert shifts<br />

Jn <strong>th</strong>e double rwommce formalism. These shifts are asaln an83dar-dependent and <strong>th</strong>erefore also lead to apparent<br />

line-broadening; <strong>th</strong>ey also causo <strong>th</strong>e center of <strong>th</strong>e sis~al to be ahifted away from its uncoupled frequency.<br />

Chemical shielding anleotropy destroys <strong>th</strong>ese sim~le relationships between <strong>th</strong>e linewid<strong>th</strong> and dipolar coupling;<br />

it also causes resonances to appear at nvr for n y~ I or 2. The double-resonance picture is however still intuitively<br />

useful, and gives magnitudes for <strong>th</strong>e dipolar linewid<strong>th</strong>, particularly off-resonance. To calculate exact lineshapes in<br />

<strong>th</strong>ese cases, we have used • numerical solution to <strong>th</strong>e Liouville equation mdng a Rnnge-Kutta algori<strong>th</strong>nL This is<br />

surprisingly modest in its use of computer time, and can be used to calculate spectra to • high degree of accuracy.<br />

Spectra c~Iculsted ~ <strong>th</strong>is me<strong>th</strong>od are in excellent alpreement wi<strong>th</strong> experimental results ond wi<strong>th</strong> <strong>th</strong>ose of <strong>th</strong>e double<br />

resommce fonnalim~ The advantages of <strong>th</strong>e me<strong>th</strong>od are <strong>th</strong>at it does not require assumptions about <strong>th</strong>e ¢yc]Jcity of<br />

<strong>th</strong>e interactien= (as average Hami]tonlen <strong>th</strong>eory does), <strong>th</strong>eir relative aises or <strong>th</strong>e sdiabaticity of <strong>th</strong>e perturbations,<br />

and <strong>th</strong>at it can be extended wi<strong>th</strong> little modification to almost any <strong>th</strong>eoretical problem in NM~<br />

157

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