Surface differential reflectivity
Surface differential reflectivity (SDR) or differential reflectance spectroscopy (DRS) is a spectroscopic technique that measures and compares the reflectivity of a sample in two different physical conditions (modulation spectroscopy). The result is presented in terms of ΔR/R, which is defined as follow:
where R1 and R2 represent the reflectivity due to a particular state or condition of the sample.
The differential reflectivity is used to enhance just the contributions to the reflected signal coming from the sample. In fact, the light penetration (α−1) inside a solid is related to the adsorption coefficient (α) of the material. The contribution of the sample surface (e.g., surface states, ultra-thin and thin deposited films, etc.) to the reflected signal is generally evaluated in the 10−2 range.[1] The difference between two sample states (1 and 2) is thought to put in evidence small changes occurring onto the sample surface. If R1 represents a clean freshly prepared surface (e.g., after a cleavage in vacuum) and R2 the same sample after the exposure to hydrogen or oxygen contaminants, the ΔR/R spectrum can be related to features of the clean surface (e.g., surface states);[2] if R1 is the reflectivity spectrum of a sample covered by an organic film (even if the substrate is only partially covered) and R2 represents the optical spectrum of the pristine substrate, the ΔR/R spectrum can be related to the optical properties of the deposited molecules;[3] etc.
The experimental SDR definition reported was interpreted in terms of surface (or film) thickness (d) and its dielectric function (ε2 = ε’2 - iε”2). This model, which assumes the surface as a well-defined phase above a bulk, is known as the “three-layer model” and states that:[4]
where ε1 = 1 is the vacuum dielectric constant and ε3 = ε’3 - iε”3 is the bulk dielectric function.
![](http://upload.wikimedia.org/wikipedia/commons/thumb/0/0c/Figure_2_sdr.tif/lossless-page1-220px-Figure_2_sdr.tif.png)
The SDR measurements are generally realized by exploiting an optical multichannel system coupled with a double optical path in the so-called Michelson-cross configuration.
In this configuration, the ΔR/R signal is obtained by a direct comparison between the reflectivity signal R1 arises from the sample (e.g., a silicon substrate covered by a few amount of molecules) placed inside the UHV chamber (first optical path) and the R2 signal acquired from a reference sample (dummy sample; e.g., a silicon wafer) placed along the second optical path. The difference between R1 and R2 is due to the deposited molecules, which can affect the reflectivity signal in the 10−3÷10−2 range of the overall reflected signal of the real sample. Consequently, a high signal stability is required and the two optical paths must be as comparable as possible.
The SDR apparatus was firstly described and used by G. Chiarotti for the investigation of the surface states contribution in the Ge(111) reflectivity properties.[5] This work also represents the first direct evidence of the existence of surface states in semiconductors. An evolution of the SDR set-up by using linearly polarized light was firstly described by P. Chiaradia and co-workers for testing the structure of the Si(111) 2 × 1 surface.[6] Other equivalent SDR set-up have been exploited for studying: the surface roughening evolution,[7] the reactivity of halogens with semiconductor surfaces,[8] the adhesion of nanoparticles during their growth,[9] the growth of heavy metals on semiconductors,[10] the nano-antennas characterization,[11] just to mention some of the works related to this surface optical technique.
References
[edit]- ^ Cricenti, A (2004-10-06). "Surface differential reflectivity for studying surface state optical transitions—a review". Journal of Physics: Condensed Matter. 16 (39): S4243–S4258. Bibcode:2004JPCM...16S4243C. doi:10.1088/0953-8984/16/39/001. ISSN 0953-8984. S2CID 250878022.
- ^ Selci, S.; Ciccacci, F.; Chiarotti, G.; Chiaradia, P.; Cricenti, A. (May 1987). "Surface differential reflectivity spectroscopy of semiconductor surfaces". Journal of Vacuum Science & Technology A: Vacuum, Surfaces, and Films. 5 (3): 327–332. Bibcode:1987JVSTA...5..327S. doi:10.1116/1.574154. ISSN 0734-2101.
- ^ Proehl, Holger; Dienel, Thomas; Nitsche, Robert; Fritz, Torsten (2004-08-25). "Formation of Solid-State Excitons in Ultrathin Crystalline Films of PTCDA: From Single Molecules to Molecular Stacks". Physical Review Letters. 93 (9): 097403. Bibcode:2004PhRvL..93i7403P. doi:10.1103/PhysRevLett.93.097403. ISSN 0031-9007. PMID 15447138.
- ^ McIntyre, J.D.E.; Aspnes, D.E. (February 1971). "Differential reflection spectroscopy of very thin surface films". Surface Science. 24 (2): 417–434. Bibcode:1971SurSc..24..417M. doi:10.1016/0039-6028(71)90272-X.
- ^ Chiarotti, G.; Del Signore, G.; Nannarone, S. (1968-10-14). "Optical Detection of Surface States on Cleaved (111) Surfaces of Ge". Physical Review Letters. 21 (16): 1170–1172. Bibcode:1968PhRvL..21.1170C. doi:10.1103/PhysRevLett.21.1170. ISSN 0031-9007.
- ^ Chiaradia, P.; Cricenti, A.; Selci, S.; Chiarotti, G. (1984-03-26). "Differential Reflectivity of Si(111)2×1 Surface with Polarized Light: A Test for Surface Structure". Physical Review Letters. 52 (13): 1145–1147. Bibcode:1984PhRvL..52.1145C. doi:10.1103/PhysRevLett.52.1145. ISSN 0031-9007.
- ^ Chiaradia, P.; Cricenti, A.; Selci, S.; Chiarotti, G. (1984-03-26). "Differential Reflectivity of Si(111)2×1 Surface with Polarized Light: A Test for Surface Structure". Physical Review Letters. 52 (13): 1145–1147. Bibcode:1984PhRvL..52.1145C. doi:10.1103/PhysRevLett.52.1145. ISSN 0031-9007.
- ^ Chiaradia, P.; Cricenti, A.; Selci, S.; Chiarotti, G. (1984-03-26). "Differential Reflectivity of Si(111)2×1 Surface with Polarized Light: A Test for Surface Structure". Physical Review Letters. 52 (13): 1145–1147. Bibcode:1984PhRvL..52.1145C. doi:10.1103/PhysRevLett.52.1145. ISSN 0031-9007.
- ^ Lazzari, R.; Renaud, G.; Revenant, C.; Jupille, J.; Borensztein, Y. (2009-03-24). "Adhesion of growing nanoparticles at a glance: Surface differential reflectivity spectroscopy and grazing incidence small angle x-ray scattering". Physical Review B. 79 (12): 125428. Bibcode:2009PhRvB..79l5428L. doi:10.1103/PhysRevB.79.125428. ISSN 1098-0121.
- ^ Buchenko, Viktor V.; Goloborodko, Andrey A. (2015-11-30). "Bi/Si interface and Bi nanolines characterization by surface differential reflectivity". In Angelsky, Oleg V. (ed.). Twelfth International Conference on Correlation Optics. Vol. 9809. Chernivsti, Ukraine. pp. 175–181. doi:10.1117/12.2218069. S2CID 138035703.
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: CS1 maint: location missing publisher (link) - ^ Kaniber, M.; Schraml, K.; Regler, A.; Bartl, J.; Glashagen, G.; Flassig, F.; Wierzbowski, J.; Finley, J. J. (March 2016). "Surface plasmon resonance spectroscopy of single bowtie nano-antennas using a differential reflectivity method". Scientific Reports. 6 (1): 23203. arXiv:1602.01957. Bibcode:2016NatSR...623203K. doi:10.1038/srep23203. ISSN 2045-2322. PMC 4804333. PMID 27005986.