$$\rightleftharpoonup{xx}$$
$$\longleftharp{xx}$$,
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Figure 1 shows the photographs, light microscopy and scanning electron microscopy (SEM) images of the coated and uncoated LCM sensor (left), as well as their X-ray diffraction (XRD) patterns (right). From both, light and scanning electron microscopy (Figure 1b and c), the connection points of the gold electrodes to the oscillator are less covered with zeolite crystals than the center region of the LCM. Most of the zeolite crystals on top of the LCM-sensor are isolated and show characteristic rounded-boat morphology, with the (010)-plane predominantly facing up. Besides, some crystals additionally show the typical intergrowth behavior ("twinned crystals"). Moreover, the loaded H-ZSM-5 (Si/Al molar ratio of 100 according to the composition of the synthesis mixture) on the langatate crystal has been investigated by XRD and wavelength-dispersive X-ray (WDX) spectroscopy3.
In Figure 2, CO2 adsorption isotherms for the H-ZSM-5 zeolite obtained with the LCM device in the temperature range of 50-150 °C and pressure range of 0-16 bar, as well as the fit of the single site Langmuir isotherm model to the experimental data, are shown to give a representative example. As shown in Figure 2, the determined adsorption isotherms of CO2 were fitted with a single site Langmuir isotherm well. Figure 3 shows the diagram of ln(K'i) vs. 1,000/T for CO2 as derived from the adsorption isotherms, i.e., the temperature dependence of the adsorption constants determined from the fit of the adsorption isotherms. The adsorption enthalpies and entropies of CO2 were determined by fitting with the van't Hoff equation (see the Supporting Information of the previous publication3). The results of the model fitting show that the adsorption capacity, adsorption enthalpy and adsorption entropy for CO2 in H-ZSM-5 are 4.0 ± 0.2 mmol g-1, 15.3 ± 0.5 kJ mol-1 and 56.3 ± 1.5 J mol-1 K-1, respectively3.
The high quality of the fit of the single site Langmuir isotherm and the van't Hoff equation as shown in Figures 2 and 3 supports the assumption of a constant adsorption capacity (i.e., saturation loading) and enthalpy (i.e., heat of adsorption) to be valid at least for the range of conditions used. Moreover, the adsorption parameters of CO2 determined by the LCM-based adsorption measurement device in this work compare well to values reported in literature9-12, i.e., the adsorption capacity, adsorption enthalpy and adsorption entropy reported for CO2 in MFI-type zeolites vary in the range of 2.1-3.8 mmol g-1, 19-28.7 kJ mol-1, and 43.7-82.7 J mol-1 K-1, respectively, in the temperature range of 30-200 °C and pressure range of 0-5 bar.

Figure 1. Coated langatate crystal microbalance sensor (left). (a) Photographs of the coated and uncoated sensor (right), (b) light microscopy and (c) scanning electron microscopy images. The X-ray diffraction patterns of coated and uncoated LCM sensor (right). This figure has been modified from a previous publication3. Reprinted with the permission of American Chemical Society (Copyright 2015). Please click here to view a larger version of this figure.

Figure 2. Adsorption isotherms for CO2 in H-ZSM-5 at 50 (
), 75 (
), 100 (
), and 150 °C (
). The symbols represent the experimental data, the error bars indicate the measurement uncertainty of the resonant frequencies caused by, e.g., the temperature instability, and calculated according to the Sauerbrey equation as described in Step 2.2.4, and the lines represent the fit of the single site Langmuir isotherm model to the experimental data. This figure has been modified from a previous publication3. Reprinted with the permission of American Chemical Society (Copyright 2015). Please click here to view a larger version of this figure.

Figure 3. ln(Ki) vs. 1,000/T to determine adsorption enthalpies and entropies for CO2. This figure has been modified from a previous publication3. Reprinted with the permission of American Chemical Society (Copyright 2015). Please click here to view a larger version of this figure.