Shahin Khademiniaa, 
Mahdi Behzad*a, 
Abdolali Alemib, 
Mahboubeh Dolatyaric and 
S. Maryam Sajjadia
aDepartment of Chemistry, Semnan University, Semnan 35351-19111, Iran. E-mail: mbehzad@semnan.ac.ir; mahdibehzad@gmail.com;   Tel: +98 233 338 3195
bDepartment of Inorganic Chemistry, Faculty of Chemistry, University of Tabriz, Tabriz, Iran
cLaboratory of Nano Photonics & Nano Crystals, School of Engineering-Emerging Technologies, University of Tabriz, Tabriz, Iran
First published on 14th August 2015
Bi2Mn2O7 nano-powders were synthesized via a stoichiometric 1![[thin space (1/6-em)]](https://www.rsc.org/images/entities/char_2009.gif) :
:![[thin space (1/6-em)]](https://www.rsc.org/images/entities/char_2009.gif) 1 Bi
1 Bi![[thin space (1/6-em)]](https://www.rsc.org/images/entities/char_2009.gif) :
:![[thin space (1/6-em)]](https://www.rsc.org/images/entities/char_2009.gif) Mn molar ratio hydrothermal method at 180 °C for 48 h in a 1 M NaOH aqueous solution. Ultraviolet-visible (UV-vis) spectrum analysis showed that the nanostructured Bi2Mn2O7 powders possessed strong light absorption in the ultraviolet region and the direct band gap energy was obtained from the UV-vis spectrum. The as-prepared nanomaterial exhibited high catalytic activity in the one-pot synthesis of the heterocyclic compounds 3,4-dihydropyrimidin-2(1H)-ones (DHPMs) in Biginelli reaction. Experimental design was used to find the optimized reaction conditions. Reusability of the catalyst was also investigated.
Mn molar ratio hydrothermal method at 180 °C for 48 h in a 1 M NaOH aqueous solution. Ultraviolet-visible (UV-vis) spectrum analysis showed that the nanostructured Bi2Mn2O7 powders possessed strong light absorption in the ultraviolet region and the direct band gap energy was obtained from the UV-vis spectrum. The as-prepared nanomaterial exhibited high catalytic activity in the one-pot synthesis of the heterocyclic compounds 3,4-dihydropyrimidin-2(1H)-ones (DHPMs) in Biginelli reaction. Experimental design was used to find the optimized reaction conditions. Reusability of the catalyst was also investigated.
The Biginelli reaction is a methodology for the one-pot synthesis of 3,4-dihydropyrimidin-2-(1H)-one derivatives (DHPMs).16,17 DHPMs have already shown biological activities.18 Several metal oxides have been reported as nanocatalysts for the Biginelli reactions including alumina supported Mo catalysts,19 nano ZnO as a structure base catalyst,20 MoO3–ZrO2 nanocomposite,21 MnO2–MWCNT nanocomposites,22 TiO2 nanoparticles,23 Mg–Al–CO3 and Ca–Al–CO3 hydrotalcite,24 Bi2O3/ZrO2 nanocomposite,25 ZrO2–Al2O3–Fe3O4,26 imidazole functionalized Fe3O4@SiO2,27 alumina supported MoO3,28 ZrO2-pillared clay,29 ZnO nanoparticle,30 Fe3O4–CNT,31 TiO2–MWCNT,32 Fe3O4@mesoporous SBA-15,33 Bi2V2O7.34 It should be noticed that in Biginelli reaction, not only do the type and amount of a catalyst influence the efficiency of the reaction, but also the amount of the analyte, temperature and reaction time are important factors which must be optimized. These factors have usually been optimized with one-factor-at-a time method (OFAT), which varies one factor at a time while holding all others fixed. However, statistically designed experiments35,36 that vary several factors simultaneously are more efficient when studying two or more factors. It is so because it requires less resources (experiments, time, material, etc.) for the amount of information obtained. Moreover the estimates of the effects of each factor are more precise. To the best of our knowledge there is no report about application of experimental design to optimize this reaction. There were two main goals in this study. The first one was the study of the optical properties of Bi2Mn2O7 nanomaterial and estimating its band gap energy using ultraviolet-visible spectrum. The second aim was investigating the catalytic efficiency of Bi2Mn2O7 in Biginelli reaction whose experimental condition was optimized by experimental design. Full factorial design coupled with response surface methodology37 was used in this purpose. In a previous work, we have reported the use of Bi2V2O7 as catalyst for Biginelli reactions. Here we kept the softer metal ion, i.e. Bi3+ unchanged but the harder metal ion was changed to see its effect in the studied catalytic reaction. It was found that the synthesized Bi2Mn2O7 nanocatalyst had excellent efficiency in the synthesis of DHPMs. Besides, the band gap energies were correlated to the catalytic performance of the catalyst. The reusability of the nanocatalyst was also investigated.
![[thin space (1/6-em)]](https://www.rsc.org/images/entities/char_2009.gif) :
:![[thin space (1/6-em)]](https://www.rsc.org/images/entities/char_2009.gif) 4 hexane
4 hexane![[thin space (1/6-em)]](https://www.rsc.org/images/entities/char_2009.gif) :
:![[thin space (1/6-em)]](https://www.rsc.org/images/entities/char_2009.gif) ethylacetate]. After completion of the reaction, the solid crude product was washed with deionized water to separate the unreacted raw materials. The remaining solid was then dissolved in ethanol to separate the heterogeneous catalyst. The solid catalyst was washed with acetone and dried in oven at 90 °C to be used in the next cycles. The ethanolic solution was evaporated to dryness to obtain the target DHPMs.
ethylacetate]. After completion of the reaction, the solid crude product was washed with deionized water to separate the unreacted raw materials. The remaining solid was then dissolved in ethanol to separate the heterogeneous catalyst. The solid catalyst was washed with acetone and dried in oven at 90 °C to be used in the next cycles. The ethanolic solution was evaporated to dryness to obtain the target DHPMs.
The relation between factors and response is theoretically modeled by a function that is the underlying physical mechanism to the problem under investigation. This relation causes the reproducibility in the phenomenon under study to be able to experiment with it and to interpret the results. Response surface methodology (RSM) is a mathematical and statistical method, which analyzes experimental design by applying an empirical model.37 The adequacy of the applied model is checked using analysis of variance (ANOVA)38 which needs some replicate experiments.
In our study, in Biginelli reaction, the goal was to determine how much nanocatalyst should be used, and at which temperature and time the reactants should be monitored. The response was the obtained yield (%). Different possible combinations of these factors were designed which reported in Table 1. Here, four replicates at the center of factors were considered for the validation of the model by ANOVA (Table 1). All the experiments were done at two days with random order.
| Catalyst (g) | Temp (°C) | Time (min) | Yield (%) | |
|---|---|---|---|---|
| a Benzaldehyde ![[thin space (1/6-em)]](https://www.rsc.org/images/entities/char_2009.gif) : ![[thin space (1/6-em)]](https://www.rsc.org/images/entities/char_2009.gif) ethylacetoacetate ![[thin space (1/6-em)]](https://www.rsc.org/images/entities/char_2009.gif) : ![[thin space (1/6-em)]](https://www.rsc.org/images/entities/char_2009.gif) urea molar ratios is as follows: 1 ![[thin space (1/6-em)]](https://www.rsc.org/images/entities/char_2009.gif) : ![[thin space (1/6-em)]](https://www.rsc.org/images/entities/char_2009.gif) 1 ![[thin space (1/6-em)]](https://www.rsc.org/images/entities/char_2009.gif) : ![[thin space (1/6-em)]](https://www.rsc.org/images/entities/char_2009.gif) 1.2. | ||||
| Day 1 | 0.041 | 56 | 66 | 31 | 
| Day 1 | 0.014 | 56 | 24 | 15 | 
| Day 1 | 0.028 | 80 | 45 | 54 | 
| Day 1 | 0.014 | 104 | 66 | 96 | 
| Day 1 | 0.041 | 104 | 24 | 85 | 
| Day 1 | 0.028 | 80 | 45 | 50 | 
| Day 2 | 0.041 | 56 | 24 | 23 | 
| Day 2 | 0.014 | 56 | 66 | 15 | 
| Day 2 | 0.028 | 80 | 45 | 54 | 
| Day 2 | 0.028 | 80 | 45 | 50 | 
| Day 2 | 0.014 | 104 | 24 | 85 | 
| Day 2 | 0.041 | 104 | 66 | 96 | 
| Day 2 | 0.005 | 104 | 66 | 84 | 
The observed data of the factorial design was fitted to a linear response model. Prior to the analysis, low and high factor levels were coded to −1 and +1, respectively. Eqn (1) shows the relation between the factors and the yield of the reaction, Y%, based on the first order model:
| Y% = 54.49 + 2.88 × catalyst + 34.25 × Temp. + 3.78 × time | (1) | 
The coefficient of the equation shows the effect of the parameters. The more the value is, the more the effect is. It is clear that the effect of temperature is higher than the effect of the others, moreover, the effect of the catalyst and time are close to each other.
The ANOVA results listed in Table 2 shows that the p-value of the regression was smaller than 0.05, indicating that the model was significant at a high confidence level (95%).37 The p-value probability of lack of fit was greater than 0.05, which confirmed the models' significance. Also the coefficient of determination (the R-square, adjusted-R-square) was used to express the quality of fit of polynomial model equation. In this case, R2 of variation fitting for Y% 0.9840 indicated a high degree of correlation between the response and the independent factors. Also, the high value of adjusted regression coefficient (R2-adj = 0.9771) indicated high significance of the proposed model.
To illustrate the effects in the above models, the three-dimensional (3D) response surfaces plot of the response (using eqn (1) when the amount of time was fixed at optimal level and the other two were allowed to vary) is shown in Fig. 1.
|  | ||
| Fig. 1 Response surface plots of Y% vs. catalyst and temperature at fixed level of time (66 min) parameter. | ||
| R1 | R2 | Yield% | Mp (°C) | |
|---|---|---|---|---|
| Found | Reported | |||
| H | OEt | 96 | 199–201 | 198–200 (ref. 25) | 
| 4-Cl | OEt | 89 | 207–209 | 209–211 (ref. 25) | 
| 2-Cl | OEt | 86 | 216–218 | 215–217 (ref. 25) | 
| 4-Br | OEt | 80 | 210–212 | 213–214 (ref. 27) | 
| 3-NO2 | OEt | 96 | 224–227 | 225–226 (ref. 30) | 
| 2-OMe | OEt | 65 | 260–263 | 262–263 (ref. 27) | 
| 3-OMe | OEt | 36 | 255–258 | 257–259 (ref. 22) | 
| 3-OH | OEt | 53 | 165–168 | 164–165 (ref. 30) | 
| 4-OH | OEt | 46 | 250–252 | 255–257 (ref. 22) | 
| H | OMe | 84 | 201–203 | 206–207 (ref. 40) | 
| 4-Cl | OMe | 86 | 202–204 | 204–207 (ref. 41) | 
| 2-Cl | OMe | 92 | 225–228 | 228–229 (ref. 40) | 
| 4-Br | OMe | 68 | 236–239 | 242–244 (ref. 40) | 
| 3-NO2 | OMe | 98 | 278–281 | 279–280 (ref. 41) | 
| 2-OMe | OMe | 51 | 280–283 | 283–285 (ref. 42) | 
| 3-OMe | OMe | 29 | 193–195 | 192–195 (ref. 43) | 
| 4-OH | OMe | 34 | 239–241 | 241–242 (ref. 44) | 
Table 4 shows the catalytic efficiency of the synthesized Bi2Mn2O7 nanomaterial compared to the starting materials Bi(NO3)3 and MnO2. The optimized conditions from the previous section were used. As could be seen from Table 4, Bi2Mn2O7 was much more efficient catalyst compared to the two starting materials which mean that the presence of the both metal ions was important and the two ions have acted cooperatively. Cooperative catalysis has been reported to accelerate some especial chemical transformations and has gained much attention recently.45,46 In this approach, the presence of at least two different catalysts, here the two metal ions with different hardness/softness, is necessary to activate substrates simultaneously. Bi3+ is the softer metal ion while Mn4+ is the harder one. In the Biginelli reactions, the substrates have different hardness and the presence of two different metal ions with different carbophilicity will definitely better interact with a broader range of such substrates.
| Catalyst | Reagents | Time (min) | Yield (%) | 
|---|---|---|---|
| Bi2Mn2O7 | Benzaldehyde | 66 | 96 | 
| MnO2 | Benzaldehyde | 66 | 47 | 
| Bi(NO3)3 | Benzaldehyde | 66 | 42 | 
In an earlier work, we have reported the catalytic efficiency of Bi2V2O7 in the same Biginelli reactions. In this work we kept the soft metal ion, i.e. Bi3+, unchanged but changed the harder metal ion. It was found that by changing this metal ion, the band gap energy was considerably changed. Table 5 shows the band gap data for Bi2Mn2O7, Bi2V2O7 and some of the previously reported catalysts as well as a comparison of their catalytic performance in two different types of organic syntheses reactions, i.e. the synthesis of DHPMs (entry 1 and 2) and 5-substituted 1H-tetrazoles (entry 3–6). According to the DFT calculations performed by Andrew Bean Getsoian et al.47 band gap plays an important role in the catalytic activity of a catalyst. They have theoretically shown that the more the band gap energy, the more the activation energy and the less the catalytic activity. Our experimental results confirm this finding (Table 5). To show the merit of the present work, we have compared Bi2Mn2O7 nanocatalyst results with some of the previously reported catalysts in the synthesis of DHPMs (Table 6). It is clear that Bi2Mn2O7 showed greater activity than some other heterogeneous catalysts.
| Entry | Sample | Band gap (eV) | Derivative | Catalyst amount | Condition | Yield (%) | Ref. | 
|---|---|---|---|---|---|---|---|
| 1 | Bi2Mn2O7 | 2.75 and 3.78 | 4-Cl | 2.2 mmol% | Solvent-free, 104 °C | 89 | This work | 
| 2-Cl | 86 | ||||||
| 2-OMe | 65 | ||||||
| 2 | Bi2V2O7 | 2.0 | 4-Cl | 3.1 mmol% | Solvent-free, 90 °C | 92 | 34 | 
| 2-Cl | 98 | ||||||
| 2-OMe | 98 | ||||||
| 3 | [Cu(II)-PhTPY] | 3.54 and 4.3 | 100 °C, 5 h, DMF (solvent) | 90 | 48 | ||
| 4 | ZnO | 3.34 | 0.1 g | 125 °C, 14 h, DMF | 92 | 49 | |
| 5 | Ag | 3.0 | 30 mol% | 120 °C, 8 h, DMF (solvent) | 94 | 50 | |
| 6 | Au | 2.35 | 10 mol% | 80 °C, 1.3 h, DMF (solvent) | 96 | 51 | 
| Catalyst | R1 | Catalyst amount | Reaction condition | Yield% | Time (min) | Ref. | 
|---|---|---|---|---|---|---|
| Bi2Mn2O7 | H | 2.2 × 10−2 mmol | Solvent-free, 104 °C | 96 | 66 | This work | 
| 4-Cl | 89 | |||||
| 2-Cl | 86 | |||||
| Mo/γ-Al2O3 | H | 0.3 g | Solvent-free conditions at 100 °C | 80 | 60 | 28 | 
| Bi2O3/ZrO2 | H | 20 mol% | Solvent-free, 80–85 °C | 85 | 120 | 31 | 
| 4-Cl | 85 | 120 | ||||
| 2-Cl | 82 | 165 | ||||
| ZrO2–Al2O3–Fe3O4 | H | 0.05 g | Ethanol, reflux, 140 °C | 82 | 300 | 32 | 
| 4-Cl | 66 | |||||
| 2-Cl | 40 | |||||
| Bi2V2O7 | H | 3.1 × 10−2 mmol | Solvent-free, 90 °C | 89 | 60 | 34 | 
| 4-Cl | 92 | |||||
| 2-Cl | 98 | |||||
| ZnO | H | 25 mol% | Solvent-free conditions at 90 °C | 92 | 50 | 38 | 
| 4-Cl | 95 | 
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