Concentrated Solar Irradiation of Targets in Plasmas
US-2024363308-A1 · Oct 31, 2024 · US
US12442745B2 · US · B2
| Field | Value |
|---|---|
| Publication number | US-12442745-B2 |
| Application number | US-202118289751-A |
| Country | US |
| Kind code | B2 |
| Filing date | Dec 28, 2021 |
| Priority date | May 8, 2021 |
| Publication date | Oct 14, 2025 |
| Grant date | Oct 14, 2025 |
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A method for measuring activation energy of a catalyst is disclosed, which includes obtaining a resonant frequency change-time curve using an integrated self-heating resonant cantilever ( 100 ), converting the resonant frequency change-time curve into a resonant frequency change-temperature curve, converting the resonant frequency change-temperature curve into a coverage-temperature curve, obtaining a coverage change rate-temperature curve by performing first-order differentiation on the coverage-temperature curve, obtaining relevant parameters corresponding to local minimum values from the coverage change rate-temperature curve, and substituting the relevant parameters into calculation formulas to obtain a desorption rate constant of the catalyst and a desorption activation energy of the catalyst. It can be seen that the present disclosure simply requires programmed heating in terms of operating on the samples, which is fast and convenient. In addition, the method also has other advantages, such as, accurate measurement results, low consumption of samples, and low price.
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What is claimed is: 1. A method for measuring activation energy of a catalyst, comprising: providing an integrated self-heating resonant cantilever; placing the catalyst in a sampling area of the integrated self-heating resonant cantilever; providing a probe molecule, and adsorbing the probe molecule with the catalyst; desorbing the probe molecule from the catalyst by performing programmed heating on the integrated self-heating resonant cantilever, and obtaining a resonant frequency change-time curve of the integrated self-heating resonant cantilever during the programmed heating, wherein the obtaining of the resonant frequency change-time curve comprises: obtaining a first preliminary resonant frequency change-time curve by performing a first programmed heating on the integrated self-heating resonant cantilever; obtaining a second preliminary resonant frequency change-time curve by performing a second programmed heating on the integrated self-heating resonant cantilever; and obtaining the resonant frequency change-time curve by subtracting the second preliminary resonant frequency change-time curve from the first preliminary resonant frequency change-time curve; converting the resonant frequency change-time curve into a resonant frequency change-temperature curve by means of a formula T=βt, wherein T represents a temperature of the integrated self-heating resonant cantilever, t represents a heating duration of the programmed heating, and β represents a heating rate of the programmed heating; converting the resonant frequency change-temperature curve into a coverage-temperature curve by means of a formula θ = Δ f m - Δ f Δ f m , wherein θ represents the coverage, Δf m represents a total resonant frequency change during the desorbing of the probe molecule, Δf represents a transient resonant frequency change at a certain time during the desorbing of the probe molecule; obtaining a coverage change rate-temperature curve by performing first-order differentiation on the coverage-temperature curve, and obtaining T m and ( d θ dT ) T m corresponding to local minimum values of the coverage change rate-temperature curve, wherein T m represents a temperature value where the coverage change rate-temperature curve has a local minimum, ( d θ dT ) T m represents a coverage change rate where the coverage change rate-temperature curve has a local minimum; and obtaining a desorption rate constant k d of the catalyst and a desorption activation energy E d of the catalyst by means of a formula E d = R T m 2 k d β , and a formula k d = - β ( d θ d T ) T m θ T m wherein R represents the gas constant, wherein adsorbing the probe molecule with the catalyst comprises: heating the integrated self-heating resonant cantilever in an ammonia gas atmosphere with a flow rate of 50 mL/min to cause the catalyst to adsorb the probe molecule, performing real-time frequency measurement during adsorption to determine a degree of adsorption, and completing the adsorption when a catalyst coverage reaches 1, thereby improving accuracy of the measuring of the activation energy of the catalyst. 2. The method for measuring activation energy of the catalyst according to claim 1 , wherein before the catalyst adsorbs the probe molecule, the method further comprises cleaning the integrated self-heating resonant cantilever. 3. The method for measuring activation energy of the catalyst according to claim 1 , wherein before the catalyst adsorbs the probe molecule, the method further comprises pretreating the catalyst to clean the catalyst. 4. The method for measuring activation energy of the catalyst according to claim 1 , wherein after the catalyst adsorbs the probe molecule and before the catalyst desorbs the probe molecule, the method further comprises removing physical adsorbate on the catalyst. 5. The method for measuring activation energy of the catalyst according to claim 1 , wherein a mass of the catalyst is in a range of 10 12 g to 10 −6 g. 6. The method for measuring activation energy of the catalyst according to claim 1 , wherein the temperature T of the integrated self-heating resonant cantilever during the programmed heating is in a range of 25° C. to 1000° C. 7. The method for measuring activation energy of the catalyst according to claim 1 , wherein the heating rate β of the programmed heating is greater than 5000° C./s, with a temperature control accuracy smaller than 0.5° C. 8. The method for measuring activation energy of the catalyst according to claim 1 , wherein the
Investigating or analyzing materials by the use of thermal means (G01N3/00 - G01N23/00 take precedence) · CPC title
Investigating surface or boundary effects, e.g. wetting power; Investigating diffusion effects; Analysing materials by determining surface, boundary, or diffusion effects (scanning-probe techniques or apparatus G01Q) · CPC title
by investigating the development of heat, i.e. calorimetry, e.g. by measuring specific heat, by measuring thermal conductivity (calorimeters per se G01K) · CPC title
by measuring frequency or resonance of acoustic waves · CPC title
Adsorption, desorption, surface mass change, e.g. on biosensors · CPC title
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