+ Resolve Article
+ Follow Us
Follow on FacebookFollow on Facebook
Follow on TwitterFollow on Twitter

+ Translate
+ Subscribe to Site Feed
GeoScience Most Shared ContentMost Shared Content

On the electron vortex beam wavefunction within a crystal

, : On the electron vortex beam wavefunction within a crystal. Ultramicroscopy 157: 1-11

Electron vortex beams are distorted by scattering within a crystal, so that the wavefunction can effectively be decomposed into many vortex components. Using a Bloch wave approach equations are derived for vortex beam decomposition at any given depth and with respect to any frame of reference. In the kinematic limit (small specimen thickness) scattering largely takes place at the neighbouring atom columns with a local phase change of π/2rad. When viewed along the beam propagation direction only one vortex component is present at the specimen entrance surface (i.e. the 'free space' vortex in vacuum), but at larger depths the probe is in a mixed state due to Bragg scattering. Simulations show that there is no direct correlation between vortex components and the 〈Lz〉 pendellösung, i.e. at a given depth probes with relatively constant 〈Lz〉 can be in a more mixed state compared to those with more rapidly varying 〈Lz〉. This suggests that minimising oscillations in the 〈Lz〉 pendellösung by probe channelling is not the only criterion for generating a strong electron energy loss magnetic circular dichroism (EMCD) signal.


PMID: 25985191

DOI: 10.1016/j.ultramic.2015.05.004

Other references

Stella, J.; Mundy, P.; Tuchman, R., 1999: Social and nonsocial factors in the Childhood Autism Rating Scale. The Childhood Autism Rating Scale (CARS) was factor analyzed to determine if distinct and independent "subgroups" of symptoms could be derived, which would be consistent with the current multidimensional theory and nosology for autism. T...

Es'kov, K.Yu, 1991: Spiders of the genus savignya s. str. aranei linyphiidae in the fauna of the far east and central asia. New species, i.e. Savignya amurensis sp.n. from the lower Amur, S. badzhalensis sp.n. from the Badzhal ridge (northern Priamurye) and S. centrasiatica sp.n. from Tuva [Russian SFSR, USSR] are described. S. borea and S. zero (Khabarovsk) are record...

Pathak, C.L., 1972: The response of isolated frog hearts to minimum effective concentrations of catecholamines and 5-hydroxytryptamine. Indian Journal of Physiology and Pharmacology 16(2): 117-126

Herruzo, R.; Banegas, J.R.; Cruz, J.J.; Garcia-Torres, V.; Fernandez-Aceñero, M.J., 2008: WITHDRAWN: The Etiology of Bacteremia or Pneumonia as a Prognostic Factor for Death in Burn Patients, After a 10-Day in Intensive Care Unit. Journal of Burn Care & Research

Coutinho Roberto Q.; Neto Joao B.S.uza; Costa Flavio Q., 2000: Design strength parameters of a slope on unsaturated gneissic residual soil. This paper presents basic engineering properties of a gneissic residual soil from a natural slope in which a greater landslide occurred. Emphasis is given to the design strength parameters obtained from laboratory tests. A stability analysis is do...

Chernosky, M.E., 1962: Pruritic skin disease and summer air conditioning. JAMA 179: 1005-1010

Neimann, N.; Pierson, M.; D.L.Vergne, E.; Rauber, G.; Gilgenkrantz, S.; Olive, D., 1963: Herpetic disease of the newborn. Annales de Pediatrie 10: 27-31

Chernyshev, V.F.; Malinovskaia, E.; Pokotilov, K.E., 1958: K.E. Pokotilov. Ortopediia Travmatologiia i Protezirovanie 19(3): 96-96

Jacobs, L.G.; Bloom, H.G.; Behrman, F.Z., 1990: Mania and a gait disorder due to cobalamin deficiency. Journal of the American Geriatrics Society 38(4): 473-474

Uglov, P.G., 1957: Diagnosis and surgery in mitral stenosis. Khirurgiia 33(5): 55-60