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Search for "reaction rate constant" in Full Text gives 16 result(s) in Beilstein Journal of Nanotechnology.

Silver nanoparticles loaded on lactose/alginate: in situ synthesis, catalytic degradation, and pH-dependent antibacterial activity

  • Nguyen Thi Thanh Tu,
  • T. Lan-Anh Vo,
  • T. Thu-Trang Ho,
  • Kim-Phuong T. Dang,
  • Van-Dung Le,
  • Phan Nhat Minh,
  • Chi-Hien Dang,
  • Vinh-Thien Tran,
  • Van-Su Dang,
  • Tran Thi Kim Chi,
  • Hieu Vu-Quang,
  • Radek Fajgar,
  • Thi-Lan-Huong Nguyen,
  • Van-Dat Doan and
  • Thanh-Danh Nguyen

Beilstein J. Nanotechnol. 2023, 14, 781–792, doi:10.3762/bjnano.14.64

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  • absorption peak. It is important to note that the catalytic degradation of these contaminants in the presence of excess amount of NaBH4 is a pseudo-first-order reaction, which can be expressed by the equation ln(A/A0) = −kt. Here, k is reaction rate constant, and [A0] and [A] are initial and current
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Published 04 Jul 2023

Non-stoichiometric magnetite as catalyst for the photocatalytic degradation of phenol and 2,6-dibromo-4-methylphenol – a new approach in water treatment

  • Joanna Kisała,
  • Anna Tomaszewska and
  • Przemysław Kolek

Beilstein J. Nanotechnol. 2022, 13, 1531–1540, doi:10.3762/bjnano.13.126

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  • . The low value of the reaction rate constant (Equation 6) indicates that it is a limiting process of the phenol ozonolysis, hence the observed delay in the rate of phenol degradation in ozonolysis in Figure 5a,b. Because the reaction in Equation 6 is slow, the reaction conditions are not stationary at
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Published 15 Dec 2022

Recent trends in Bi-based nanomaterials: challenges, fabrication, enhancement techniques, and environmental applications

  • Vishal Dutta,
  • Ankush Chauhan,
  • Ritesh Verma,
  • C. Gopalkrishnan and
  • Van-Huy Nguyen

Beilstein J. Nanotechnol. 2022, 13, 1316–1336, doi:10.3762/bjnano.13.109

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  • the Bi–O–X photocatalytic system improved the system. In this work, they found that the RhB elimination percentage over Bi5O7Br is 85% after 120 min of UV–visible-light irradiation, and the reaction rate constant was measured as 1.496 h−1·m−2. In contrast, the reaction rate constant for BiOBr was
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Published 11 Nov 2022

Sodium doping in brookite TiO2 enhances its photocatalytic activity

  • Boxiang Zhuang,
  • Honglong Shi,
  • Honglei Zhang and
  • Zeqian Zhang

Beilstein J. Nanotechnol. 2022, 13, 599–609, doi:10.3762/bjnano.13.52

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  • kinetics. Figure 1d displays the reaction rate constant (k) of samples calcinated at 300–600 °C to be 0.0610, 0.0690, 0.0309, and 0.0259 min−1, respectively. The degradation rate constant of the samples at 300 and 400 °C was enhanced about two times in comparison to that at 500 and 600 °C. By comparison
  • , the reaction rate constant in this report was about three times higher than that of the quasi-spherical brookite TiO2 (k = 0.0206) [22]. The excellent photocatalytic activity can be correlated with the crystal structure, micromorphology, and chemical composition [23][24][25]. The bandgap is useful to
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Published 05 Jul 2022

Sputtering onto liquids: a critical review

  • Anastasiya Sergievskaya,
  • Adrien Chauvin and
  • Stephanos Konstantinidis

Beilstein J. Nanotechnol. 2022, 13, 10–53, doi:10.3762/bjnano.13.2

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Published 04 Jan 2022

Nanocasting synthesis of BiFeO3 nanoparticles with enhanced visible-light photocatalytic activity

  • Thomas Cadenbach,
  • Maria J. Benitez,
  • A. Lucia Morales,
  • Cesar Costa Vera,
  • Luis Lascano,
  • Francisco Quiroz,
  • Alexis Debut and
  • Karla Vizuete

Beilstein J. Nanotechnol. 2020, 11, 1822–1833, doi:10.3762/bjnano.11.164

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  • photodegradation of RhB. The rate constants of the photocatalytic degradations were calculated based on a Langmuir–Hinshelwood model (Equation 1): with the reaction rate r (mg·L−1·min−1), reaction rate constant kr (mg·L−1·min−1), adsorption coefficient of the reactant Kc (L·min−1), reactant concentration c (mg·L−1
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Published 07 Dec 2020

Improved adsorption and degradation performance by S-doping of (001)-TiO2

  • Xiao-Yu Sun,
  • Xian Zhang,
  • Xiao Sun,
  • Ni-Xian Qian,
  • Min Wang and
  • Yong-Qing Ma

Beilstein J. Nanotechnol. 2019, 10, 2116–2127, doi:10.3762/bjnano.10.206

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  • efficiency (De) is calculated by (Ce − C)/Ce, where C is the concentration at an irradiation time t. The degradation process can be fitted using a pseudo first-order kinetic model ln[Ce/C] = Kapp·t, where Kapp is the apparent reaction rate constant. The Ae, De and Kapp values calculated for all samples are
  • (BE) and CS ratios derived for 2-S0, 2-S0.5, 2-S1, 2-S2, 2-S3, 2-S4, and 2-S5. The values of the adsorption efficiency (Ae), degradation efficiency (De) and the apparent reaction rate constant Kapp for the samples prepared at 180 °C. The values of the adsorption efficiency (Ae), degradation efficiency
  • (De), and the apparent reaction rate constant Kapp for the samples prepared at 250 °C and for P25 TiO2. Textural parameters of all samples. Acknowledgements Part of this work was performed at the Steady High Magnetic Field Facilities, High Magnetic Field Laboratory, CAS. This work was supported by
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Published 01 Nov 2019

BiOCl/TiO2/diatomite composites with enhanced visible-light photocatalytic activity for the degradation of rhodamine B

  • Minlin Ao,
  • Kun Liu,
  • Xuekun Tang,
  • Zishun Li,
  • Qian Peng and
  • Jing Huang

Beilstein J. Nanotechnol. 2019, 10, 1412–1422, doi:10.3762/bjnano.10.139

Graphical Abstract
  • -order kinetics model [38]: ln C/C0 = kt, where the apparent reaction rate constant and degradation time are expressed by k and t, and the initial concentration of RhB and the concentration at transit time t are represented by C0 and C, respectively. Supporting Information File 1, Figure S2a shows the UV
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Published 16 Jul 2019

Controllable one-pot synthesis of uniform colloidal TiO2 particles in a mixed solvent solution for photocatalysis

  • Jong Tae Moon,
  • Seung Ki Lee and
  • Ji Bong Joo

Beilstein J. Nanotechnol. 2018, 9, 1715–1727, doi:10.3762/bjnano.9.163

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  • the TiO2 samples for RhB degradation were as follows: TiO2-500 ≥ TiO2-400 > TiO2-650 > TiO2-800 ≥ TiO2-350. In order to estimate the first-order reaction rate constant and compare reaction kinetics, Figure 6c displays the data in semi-logarithmic form. The blank test (i.e., no catalyst) result showed
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Published 08 Jun 2018

Sheet-on-belt branched TiO2(B)/rGO powders with enhanced photocatalytic activity

  • Huan Xing,
  • Wei Wen and
  • Jin-Ming Wu

Beilstein J. Nanotechnol. 2018, 9, 1550–1557, doi:10.3762/bjnano.9.146

Graphical Abstract
  • -on-belt branched TiO2(B) powder was synthesized with the simultaneous incorporation of reduced graphene oxide (rGO). The monophase, hierarchically nanostructured TiO2(B) exhibited a reaction rate constant 1.7 times that of TiO2(B)/rGO and 2.9 times that of pristine TiO2(B) nanobelts when utilized to
  • photodegradation curves only in the presence of pristine TiO2 nanobelts (TiO2 NB), TGN and TGN-branch 4 h. Figure 7b shows an almost linear relationship between ln(c0/c) and the illumination time, which indicates that the photodegradation follows roughly a pseudo-first order kinetic. The reaction rate constant
  • nanobelts when compared with the pristine alkali-hydrothermal synthesized nanobelt. The incorporation of graphene and the branching tactic resulted in a significantly increased specific surface area. When utilized to assist photodegradation of phenol in water under UV light illumination, the reaction rate
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Published 24 May 2018

Investigation of the photocatalytic efficiency of tantalum alkoxy carboxylate-derived Ta2O5 nanoparticles in rhodamine B removal

  • Subia Ambreen,
  • Mohammad Danish,
  • Narendra D. Pandey and
  • Ashutosh Pandey

Beilstein J. Nanotechnol. 2017, 8, 604–613, doi:10.3762/bjnano.8.65

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  • degradation of RhB was modeled with the Langmuir–Hinshelwood mechanism, which is most commonly used to explain the kinetics of heterogeneous photocatalytic reaction [30]. It is expressed as follows: where r is reaction rate, k is the reaction rate constant, K is the adsorption coefficient, t is the time and
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Published 13 Mar 2017

Impact of ultrasonic dispersion on the photocatalytic activity of titania aggregates

  • Hoai Nga Le,
  • Frank Babick,
  • Klaus Kühn,
  • Minh Tan Nguyen,
  • Michael Stintz and
  • Gianaurelio Cuniberti

Beilstein J. Nanotechnol. 2015, 6, 2423–2430, doi:10.3762/bjnano.6.250

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  • significant obscuration. Keywords: AOPs; reaction rate constant; turbidity; ultrasonic energy; wastewater treatment; Introduction Advanced oxidation processes (AOPs) form a group of modern chemical technologies that rely on the generation of radical species and are considered to have high prospects for the
  • intensity are defined and can be adjusted. This setup allows the establishment of other specific constants, such as intensity- or flow-regime-based reaction rate constants for new investigations. Experimental determination of reaction rate constant Langmuir–Hinshelwood kinetics have been commonly applied to
  • quantify the photocatalytic conversion of organic compounds in batch reactors [9][10]. For a new design based on a PFR, determining the reaction rate constant is required. Since the change of the amount of organic compound A in the PFR is produced only by the reaction, the material balance is derived as
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Published 17 Dec 2015

Tm-doped TiO2 and Tm2Ti2O7 pyrochlore nanoparticles: enhancing the photocatalytic activity of rutile with a pyrochlore phase

  • Desiré M. De los Santos,
  • Javier Navas,
  • Teresa Aguilar,
  • Antonio Sánchez-Coronilla,
  • Concha Fernández-Lorenzo,
  • Rodrigo Alcántara,
  • Jose Carlos Piñero,
  • Ginesa Blanco and
  • Joaquín Martín-Calleja

Beilstein J. Nanotechnol. 2015, 6, 605–616, doi:10.3762/bjnano.6.62

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  • , k is the reaction rate constant, K is the adsorption constant of the reactant, and kapp is the apparent rate constant [2]. Moreover, the half-life time is calculated for the pseudo-first-order reaction as t1/2 = 0.693/kapp. The values of kapp and t1/2 for the photodegradation tests observed in
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Published 02 Mar 2015

Manganese oxide phases and morphologies: A study on calcination temperature and atmospheric dependence

  • Matthias Augustin,
  • Daniela Fenske,
  • Ingo Bardenhagen,
  • Anne Westphal,
  • Martin Knipper,
  • Thorsten Plaggenborg,
  • Joanna Kolny-Olesiak and
  • Jürgen Parisi

Beilstein J. Nanotechnol. 2015, 6, 47–59, doi:10.3762/bjnano.6.6

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  • potentials as well as the apparent reaction rate constant, , for the different electrode materials are summarized in Table 2. The reaction rate constant was calculated from: where j0 is the cathodic exchange current density (obtained from the Tafel plots of the linear sweep measurements), n = 1 is the number
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Published 06 Jan 2015

Mesoporous MgTa2O6 thin films with enhanced photocatalytic activity: On the interplay between crystallinity and mesostructure

  • Jin-Ming Wu,
  • Igor Djerdj,
  • Till von Graberg and
  • Bernd M. Smarsly

Beilstein J. Nanotechnol. 2012, 3, 123–133, doi:10.3762/bjnano.3.13

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  • based on Equation 1 (Figure not shown). The derived reaction rate constant is listed in Table 1. Also included in Table 1 is the so-called turnover frequency (TOF), which defines the ratio of the reaction rate constant to the catalyst content and reflects the intrinsic activity per site of catalysis [25
  • photodegradation reaction in the presence of the KLE-templated mesoporous and nonporous MgTa2O6 thin films after thermal treatment at various temperatures. The value for a mesoporous TiO2 thin film is represented by a star in the figure for reference. Reaction rate constant (k) and turnover frequency (TOF) of
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Published 13 Feb 2012

Substrate-mediated effects in photothermal patterning of alkanethiol self-assembled monolayers with microfocused continuous-wave lasers

  • Anja Schröter,
  • Mark Kalus and
  • Nils Hartmann

Beilstein J. Nanotechnol. 2012, 3, 65–74, doi:10.3762/bjnano.3.8

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  • this approach, surface coverage profiles θ(r) are calculated from with k(r) denoting the radially varying reaction rate constant: Considering Equation 12 and Equation 13, the local reaction kinetics depends on the irradiation time τ and the rate constant k(r), which itself depends on the temperature
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Published 26 Jan 2012
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