This report presents how combination of internal reflection (IR) and infrared imaging (IRI) can reach a surface spatial resolution at 1000 nm levels in the middle infrared range. As a result, vibrational spectra from these size areas can be recorded at high signal-to-noise levels. A spatial calibration of this method was performed by correlating IRIRI data with SEM micrographs and optical images of geometrically well-defined polymeric photoresists as well as Nylon fibers imbedded into a polyester matrix. The IRIRI approach has the potential of obtaining even better surface spatial resolution of vibrational spectra when internal reflection elements with greater refractive index ratios in the middle IR range become available.

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Let G be a graph of order n and size m. A γ-labeling of G is a oneto-one function f : V (G) → {0, 1, 2,. .. , m} that induces a labeling f : E(G) → {1, 2,. .. , m} of the edges of G defined by f (e) = |f (u)−f (v)| for each edge e = uv of G. The value of a γ-labeling f is val(f) = e∈E(G) f (e). The maximum value of a γ-labeling of G is defined as val max (G) = max{val(f) : f is a γ-labeling of G}; while the minimum value of a γ-labeling of G is val min (G) = min{val(f) : f is a γ-labeling of G}.

Capture and storage of the long-lived 85 Kr is an efficient approach to mitigate the emission of volatile radionuclides from the spent nuclear fuel reprocessing facilities. However,itischallenging to separate krypton (Kr) from xenon (Xe) because of the chemical inertness and similar physical properties.H erein we prepared high-silica CHA zeolite membranes with ultra-high selectivity and irradiation stability for Kr/Xe separation. The suitable aperture sizea nd rigid framework endures the membrane as trong size-exclusion effect. The ultrahigh selectivity of 51-152 together with the Kr permeance of 0.7-1.3 10 À8 mol m À2 s À1 Pa À1 of high-silica CHA zeolite membranes far surpass the state-of-the-art polymeric membranes.T he membrane is among the most stable polycrystalline membranes for separation of humid Kr/ Xe mixtures.T ogether with the excellent irradiation stability, high-silica CHA zeolite membranes pave the way to separate radioactive Kr from Xe for anotable reduction of the volatile nuclear waste storage volume.