393:
471:
319:
190:
629:
201:
82:
384:
532:
389:
It has been pointed out that it is an ill-defined problem because the standard formulation assumes that the nucleus has a magnetic dipolar moment, which is not always the case.
465:
938:
314:{\displaystyle A=-{\frac {2}{3}}\mu _{0}\left\langle {\boldsymbol {\mu }}_{n}\cdot {\boldsymbol {\mu }}_{e}\right\rangle |\Psi (0)|^{2},\qquad {\mbox{(SI)}}}
185:{\displaystyle A=-{\frac {8}{3}}\pi \left\langle {\boldsymbol {\mu }}_{n}\cdot {\boldsymbol {\mu }}_{e}\right\rangle |\Psi (0)|^{2}\qquad {\mbox{(cgs)}}}
448:
906:
824:
771:
779:
748:
478:, illustrating the dramatic chemical shifts observed in some paramagnetic compounds. The sharp signals near 0 ppm are from solvent.
351:
62:
54:
507:
420:
765:
816:
654:
624:{\displaystyle \int _{S(r)}\mathbf {B} (\mathbf {r} )\,d^{3}\mathbf {r} =-{\frac {2}{3}}\mu _{0}{\boldsymbol {\mu }}.}
361:
58:
842:
928:
338:
31:
650:"The electron inside the nucleus: An almost classical derivation of the isotropic hyperfine interaction"
392:
68:
This requires that the electron occupy an s-orbital. The interaction is described with the parameter
894:
851:
794:
Köhler, F. H., "Paramagnetic
Complexes in Solution: The NMR Approach," in eMagRes, 2007, John Wiley.
710:
701:
663:
412:
396:
Simplified view of the Fermi contact interaction in the terms of nuclear (green arrow) and electron
898:
933:
867:
681:
486:
indicates the extent to which the unpaired spin resides on the nucleus. Thus, knowledge of the
902:
820:
775:
744:
491:
886:
859:
795:
718:
671:
506:
in 1930. A classical derivation of this term is contained in "Classical
Electrodynamics" by
415:
spin polarizes electron spin antiparallel. This in turn polarizes the other electron of the
511:
887:
855:
714:
667:
397:
50:
722:
699:
Soliverez, C. E. (1980). "The contact hyperfine interaction: An ill-defined problem".
431:: H nuclei are parallel. This form is unstable (has higher energy E) than the form 1.
922:
871:
799:
685:
676:
649:
503:
355:
17:
475:
522:) of another dipole. This field acquires a simple expression when the distance
510:. In short, the classical energy may be written in terms of the energy of one
444:
436:
42:
416:
405:
46:
61:
spectroscopies, where it is responsible for the appearance of isotropic
863:
470:
469:
391:
840:
Fermi, E. (1930). "Über die magnetischen
Momente der Atomkerne".
423:. Electron polarizes the other H. H nuclei are antiparallel and J
440:
364:
305:
176:
27:
Magnetic interaction between an electron and a nucleus
535:
204:
85:
466:
Paramagnetic nuclear magnetic resonance spectroscopy
72:, which takes the units megahertz. The magnitude of
767:A complete introduction to modern NMR spectroscopy
623:
378:
313:
184:
379:{\textstyle \left\langle \cdots \right\rangle }
443:nuclei. Same as before, but electron spins on
386:denotes the quantum mechanical spin coupling.
490:values allows one to map the singly occupied
8:
743:(1st ed.). Elsevier. pp. 103–105.
526:between the two dipoles goes to zero, since
675:
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95:
84:
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614:
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130:
115:
939:Electric and magnetic fields in matter
460:Use in magnetic resonance spectroscopy
502:The interaction was first derived by
7:
734:
732:
354:, Ψ(0) is the value of the electron
741:Basic ¹H- and ¹³C-NMR spectroscopy
328:is the energy of the interaction,
276:
150:
25:
451:. H nuclei are antiparallel and J
800:10.1002/9780470034590.emrstm1229
583:
564:
556:
53:. Its major manifestation is in
474:H NMR spectrum of 1,1'-dimethyl
352:electron magnetic dipole moment
303:
174:
76:is given by this relationships
55:electron paramagnetic resonance
568:
560:
550:
544:
290:
285:
279:
272:
164:
159:
153:
146:
1:
813:Physical Methods for Chemists
514:moment in the magnetic field
419:antiparallel as demanded by
817:Saunders College Publishing
723:10.1088/0022-3719/13/34/002
655:European Journal of Physics
435:: vicinal H J-coupling via
421:Pauli's exclusion principle
955:
677:10.1088/0143-0807/21/1/303
482:Roughly, the magnitude of
463:
59:nuclear magnetic resonance
29:
889:Classical Electrodynamics
39:Fermi contact interaction
764:Macomber, R. S. (1998).
30:Not to be confused with
885:Jackson, J. D. (1998).
339:nuclear magnetic moment
45:interaction between an
843:Zeitschrift für Physik
625:
479:
456:
427:has a positive value.
380:
315:
186:
811:Drago, R. S. (1992).
626:
473:
455:has a positive value.
395:
381:
316:
187:
702:Journal of Physics C
533:
447:are parallel due to
362:
358:at the nucleus, and
202:
83:
856:1930ZPhy...60..320F
715:1980JPhC...13.1017S
668:2000EJPh...21...19B
648:Bucher, M. (2000).
32:Fermi's interaction
18:Contact interaction
864:10.1007/BF01339933
770:. Wiley. pp.
621:
480:
457:
376:
311:
309:
182:
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63:hyperfine coupling
739:M, Balcı (2005).
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492:molecular orbital
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222:
179:
103:
16:(Redirected from
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893:(3rd ed.).
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815:(2nd ed.).
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512:magnetic dipole
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929:Magnetostatics
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908:978-0471309321
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826:978-0030751769
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464:Main article:
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449:Hund's 1. rule
424:
407:
400:(blue arrow).
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51:atomic nucleus
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781:9780471157366
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750:9780444518118
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712:
709:(34): L1017.
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508:J. D. Jackson
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850:(5–6): 320.
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504:Enrico Fermi
501:
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356:wavefunction
346:
342:
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194:
73:
69:
67:
38:
36:
476:nickelocene
923:Categories
897:. p.
635:References
445:p-orbitals
934:Magnetism
872:122962691
686:250871770
662:(1): 19.
615:μ
605:μ
591:−
538:∫
370:⋯
277:Ψ
257:μ
252:⋅
242:μ
226:μ
212:−
151:Ψ
131:μ
126:⋅
116:μ
106:π
93:−
373:⟩
367:⟨
268:⟩
236:⟨
142:⟩
110:⟨
47:electron
43:magnetic
852:Bibcode
711:Bibcode
664:Bibcode
498:History
350:is the
337:is the
49:and an
41:is the
905:
870:
823:
778:
747:
684:
417:σ-bond
324:where
895:Wiley
868:S2CID
682:S2CID
404:: in
398:spins
178:(cgs)
903:ISBN
821:ISBN
776:ISBN
745:ISBN
307:(SI)
195:and
57:and
37:The
899:184
860:doi
796:doi
772:135
719:doi
672:doi
439:or
925::
901:.
866:.
858:.
848:60
846:.
819:.
774:.
731:^
717:.
707:13
705:.
680:.
670:.
660:21
658:.
652:.
494:.
453:HH
425:HH
411:,
341:,
65:.
911:.
874:.
862::
854::
829:.
798::
784:.
753:.
725:.
721::
713::
688:.
674::
666::
619:.
609:0
599:3
596:2
588:=
584:r
578:3
574:d
569:)
565:r
561:(
557:B
551:)
548:r
545:(
542:S
524:r
520:r
518:(
516:B
488:A
484:A
441:C
437:C
433:3
429:2
413:H
408:2
406:H
402:1
347:e
343:μ
334:n
330:μ
326:A
301:,
296:2
291:|
286:)
283:0
280:(
273:|
262:e
247:n
230:0
220:3
217:2
209:=
206:A
170:2
165:|
160:)
157:0
154:(
147:|
136:e
121:n
101:3
98:8
90:=
87:A
74:A
70:A
34:.
20:)
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