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and wavelength used but only on the sample system, which allows to compare results obtained from many different methods. Some established communities such as
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and is a vectorial quantity. The difference of the momentum of the scattered wave to the incident wave is called
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is a better measure for the typical distance resolution of the reaction than the momenta themselves.
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413:{\displaystyle {\vec {q}}={\vec {p}}_{i1}-{\vec {p}}_{f1}={\vec {p}}_{f2}-{\vec {p}}_{i2}}
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The presentation in reciprocal space is generic and does not depend on the type of
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as the independent variable, which worked fine in the early years when only a few
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The momentum transfer plays an important role in the evaluation of
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that one particle gives to another particle. It is also called the
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835:. As momentum is conserved, the transfer of momentum occurs to
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as it describes the transfer of wavevector in wave mechanics.
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Process of transferring momentum from one location to another
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427:. Momentum transfer is an important quantity because
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160:of two colliding particles with initial momenta
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281:{\displaystyle {\vec {p}}_{f1},{\vec {p}}_{f2}}
217:{\displaystyle {\vec {p}}_{i1},{\vec {p}}_{i2}}
959:{\displaystyle Q=2k\sin \left(\theta \right)}
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53:. Unsourced material may be challenged and
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117:Learn how and when to remove this message
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1003:{\displaystyle k={2\pi }/{\lambda }}
897:were available. The relationship to
288:, the momentum transfer is given by
51:adding citations to reliable sources
467:{\displaystyle \Delta x=\hbar /|q|}
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423:where the last identity expresses
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1010:and basically states that larger
593:{\displaystyle k=2\pi /\lambda }
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1073:Momentum-transfer cross section
791:{\displaystyle G=Q=k_{f}-k_{i}}
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688:final and incident particles,
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642:{\displaystyle Q=k_{f}-k_{i}}
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156:In the simplest example of
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1103:Neutron-related techniques
875:characteristic wavelengths
553:{\displaystyle k=p/\hbar }
828:{\displaystyle G=2\pi /d}
668:for the investigation of
504:{\displaystyle p=\hbar k}
478:Wave mechanics and optics
1026:{\displaystyle 2\theta }
866:{\displaystyle 2\theta }
890:{\displaystyle \alpha }
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735:{\displaystyle k_{i}}
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47:improve this article
66:"Momentum transfer"
1063:Atomic form factor
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1046:{\displaystyle Q}
910:{\displaystyle Q}
513:momentum transfer
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151:scattering vector
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135:wave mechanics
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107:December 2009
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68: –
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62:Find sources:
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48:
42:
41:
37:
32:This article
30:
26:
21:
20:
968:
877:such as Cu-K
841:
686:wave numbers
684:, where the
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422:
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104:
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61:
45:Please help
33:
1093:Diffraction
652:Diffraction
525:wave vector
517:wave number
1087:Categories
917:-space is
562:wavelength
158:scattering
77:newspapers
1021:θ
997:λ
987:π
950:θ
943:
885:α
861:θ
844:radiation
815:π
776:−
627:−
588:λ
580:π
548:ℏ
519:k is the
496:ℏ
444:ℏ
435:Δ
396:→
386:−
371:→
346:→
336:−
321:→
305:→
264:→
239:→
200:→
175:→
34:does not
1098:Momentum
1057:See also
521:absolute
147:momentum
746:vector
658:neutron
523:of the
91:scholar
55:removed
40:sources
664:, and
515:. The
139:optics
137:, and
93:
86:
79:
72:
64:
969:with
662:X-ray
98:JSTOR
84:books
715:and
70:news
38:any
36:cite
940:sin
129:In
49:by
1089::
1053:.
839:.
672:.
660:,
141:,
133:,
1041:Q
1018:2
992:/
984:2
980:=
977:k
953:)
947:(
937:k
934:2
931:=
928:Q
905:Q
858:2
823:d
819:/
812:2
809:=
806:G
784:i
780:k
771:f
767:k
763:=
760:Q
757:=
754:G
728:i
724:k
701:f
697:k
635:i
631:k
622:f
618:k
614:=
611:Q
584:/
577:2
574:=
571:k
544:/
540:p
537:=
534:k
499:k
493:=
490:p
461:|
457:q
453:|
448:/
441:=
438:x
406:2
403:i
393:p
381:2
378:f
368:p
361:=
356:1
353:f
343:p
331:1
328:i
318:p
311:=
302:q
274:2
271:f
261:p
254:,
249:1
246:f
236:p
210:2
207:i
197:p
190:,
185:1
182:i
172:p
120:)
114:(
109:)
105:(
95:·
88:·
81:·
74:·
57:.
43:.
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