The spatial extent of surface effects on electron inelastic scattering
We calculate the thickness of the surface scattering layer, defined as the region where electron inelastic scattering is affected by the surface, using the semi‐classical treatment of electron energy loss provided by the Chen–Kwei theory. To this end, we consider the depth‐dependent, surface‐related...
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| Veröffentlicht in: | Surface and interface analysis 2016-07, Vol.48 (7), p.580-583 |
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| container_title | Surface and interface analysis |
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| creator | Calliari, L. Fanchenko, S. |
| description | We calculate the thickness of the surface scattering layer, defined as the region where electron inelastic scattering is affected by the surface, using the semi‐classical treatment of electron energy loss provided by the Chen–Kwei theory. To this end, we consider the depth‐dependent, surface‐related contributions to the inverse inelastic mean free path, namely, the excitation of surface plasmons and the reduction in bulk plasmon excitation (Begrenzung effect). We find that surface effects extend further after electrons cross the surface than before they cross it. The ‘pre‐surface thickness’ is given by the ratio of the electron velocity to the plasma frequency, the characteristic decay length for surface effects. All thickness estimates increase linearly with the electron velocity and decrease as (cosα)x with the angle α between the electron trajectory and the surface normal. Copyright © 2015 John Wiley & Sons, Ltd. |
| doi_str_mv | 10.1002/sia.5884 |
| format | Article |
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To this end, we consider the depth‐dependent, surface‐related contributions to the inverse inelastic mean free path, namely, the excitation of surface plasmons and the reduction in bulk plasmon excitation (Begrenzung effect). We find that surface effects extend further after electrons cross the surface than before they cross it. The ‘pre‐surface thickness’ is given by the ratio of the electron velocity to the plasma frequency, the characteristic decay length for surface effects. All thickness estimates increase linearly with the electron velocity and decrease as (cosα)x with the angle α between the electron trajectory and the surface normal. 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Copyright © 2015 John Wiley & Sons, Ltd.</description><subject>Begrenzungs effect</subject><subject>Decay</subject><subject>electron energy loss</subject><subject>Excitation</subject><subject>Inelastic scattering</subject><subject>Interface analysis</subject><subject>Inverse</subject><subject>Mathematical analysis</subject><subject>Mean free path</subject><subject>Plasmons</subject><subject>spatial extent of surface effects</subject><subject>surface plasmons</subject><issn>0142-2421</issn><issn>1096-9918</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2016</creationdate><recordtype>article</recordtype><recordid>eNp10F9LwzAUBfAgCs4p-BEKvvjSmaRtmj6O4f7AUMGCj-Ga3mhm184kxe3b2zFRFHy65-HH4XIIuWR0xCjlN97CKJMyPSIDRgsRFwWTx2RAWcpjnnJ2Ss68X1FKZSLFgEzLV4z8BoKFOsJtwCZErYl85wxojNAY1MFHbRNh3SfXB9tgDT5YHXkNIaCzzcs5OTFQe7z4ukNSTm_LyTxe3s8Wk_Ey1olI0zijGRYU0wpBCjCiKhgInaZaI-8TGspzTAByqZNnNBwrWhQZVIA5SJYnQ3J9qN249r1DH9Taeo11DQ22nVdM8izjTOS0p1d_6KrtXNM_p1jelzKaiOynULvWe4dGbZxdg9spRtV-T9XvqfZ79jQ-0A9b4-5fpx4X49_e-oDbbw_uTYk8yTP1dDdTE_rASl7OlUg-AT85hbg</recordid><startdate>201607</startdate><enddate>201607</enddate><creator>Calliari, L.</creator><creator>Fanchenko, S.</creator><general>Blackwell Publishing Ltd</general><general>Wiley Subscription Services, Inc</general><scope>BSCLL</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7SR</scope><scope>7U5</scope><scope>8BQ</scope><scope>8FD</scope><scope>JG9</scope><scope>L7M</scope></search><sort><creationdate>201607</creationdate><title>The spatial extent of surface effects on electron inelastic scattering</title><author>Calliari, L. ; Fanchenko, S.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c3644-505e90e4dea86af6d91a6c44cce21a6ef027e3aa78c3bef2ed0995adae7a8173</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2016</creationdate><topic>Begrenzungs effect</topic><topic>Decay</topic><topic>electron energy loss</topic><topic>Excitation</topic><topic>Inelastic scattering</topic><topic>Interface analysis</topic><topic>Inverse</topic><topic>Mathematical analysis</topic><topic>Mean free path</topic><topic>Plasmons</topic><topic>spatial extent of surface effects</topic><topic>surface plasmons</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Calliari, L.</creatorcontrib><creatorcontrib>Fanchenko, S.</creatorcontrib><collection>Istex</collection><collection>CrossRef</collection><collection>Engineered Materials Abstracts</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>METADEX</collection><collection>Technology Research Database</collection><collection>Materials Research Database</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>Surface and interface analysis</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Calliari, L.</au><au>Fanchenko, S.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>The spatial extent of surface effects on electron inelastic scattering</atitle><jtitle>Surface and interface analysis</jtitle><addtitle>Surf. Interface Anal</addtitle><date>2016-07</date><risdate>2016</risdate><volume>48</volume><issue>7</issue><spage>580</spage><epage>583</epage><pages>580-583</pages><issn>0142-2421</issn><eissn>1096-9918</eissn><coden>SIANDQ</coden><abstract>We calculate the thickness of the surface scattering layer, defined as the region where electron inelastic scattering is affected by the surface, using the semi‐classical treatment of electron energy loss provided by the Chen–Kwei theory. To this end, we consider the depth‐dependent, surface‐related contributions to the inverse inelastic mean free path, namely, the excitation of surface plasmons and the reduction in bulk plasmon excitation (Begrenzung effect). We find that surface effects extend further after electrons cross the surface than before they cross it. The ‘pre‐surface thickness’ is given by the ratio of the electron velocity to the plasma frequency, the characteristic decay length for surface effects. 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| subjects | Begrenzungs effect Decay electron energy loss Excitation Inelastic scattering Interface analysis Inverse Mathematical analysis Mean free path Plasmons spatial extent of surface effects surface plasmons |
| title | The spatial extent of surface effects on electron inelastic scattering |
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