New analytical formula for neutron reflection from surface films

Journal Article · Wed Nov 13 23:00:00 EST 1991 · Journal of Physical Chemistry; (United States)

DOI:https://doi.org/10.1021/j100176a001· OSTI ID:7265950

Zhou, Xiaolin ^[1]; Chen, Sowhsin ^[2]; Felcher, G P ^[3]

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1. Massachusetts Inst. of Technology, Cambridge (United States) Argonne National Lab., IL (United States)
2. Massachusetts Inst. of Technology, Cambridge (United States)
3. Argonne National Lab., IL (United States)

The closed-form expressions for the neutron reflectance and transmittance of a thin film deposited on a bulk substrate are derived from the Green's function solution of the Schroedinger wave equation in the material medium with an optical potential under the approximation that the curvature of the scattering length density profile in the film is small. This closed-form solution reduces to all the known approximations in various limiting cases and is shown to be more accurate than the existing approximations.

• DOE Contract Number: W-31109-ENG-38
• OSTI ID: 7265950
• Journal Information: Journal of Physical Chemistry; (United States), Journal Name: Journal of Physical Chemistry; (United States) Vol. 95:23; ISSN 0022-3654; ISSN JPCHA
• Country of Publication: United States
• Language: English

Related Subjects

37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CHEMISTRY
400101* -- Activation
Nuclear Reaction
Radiometric & Radiochemical Procedures
663610 -- Neutron Physics-- (1992-)
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BARYONS
DIFFERENTIAL EQUATIONS
ELEMENTARY PARTICLES
EQUATIONS
FERMIONS
FILMS
FUNCTIONS
GREEN FUNCTION
HADRONS
MATHEMATICAL MODELS
NEUTRONS
NUCLEONS
PARTIAL DIFFERENTIAL EQUATIONS
REFLECTION
SCHROEDINGER EQUATION
THIN FILMS
TRANSMISSION
WAVE EQUATIONS