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1.2 to 1.5 K

Acrylato[tris­­(1 methyl­benzimidazol 2 ylmeth­yl)amine]zinc(II) perchlorate–di­methyl­formamide–methanol (1/1/1 5) at 153 (2) K

Acrylato[tris­­(1 methyl­benzimidazol 2 ylmeth­yl)amine]zinc(II) perchlorate–di­methyl­formamide–methanol (1/1/1 5) at 153 (2) K

... The atoms of the acrylate ligand are disordered over two sites with refined occupancies of 0.836 (5) and 0.164 (5) for the minimum and maximum components, respectively. The 0.5 occupancy methanol molecule ...

12

Solution of the Erdös-Moser Equation $1+2^p+3^p+⋯+k^p=(k+1)^p$

Solution of the Erdös-Moser Equation $1+2^p+3^p+⋯+k^p=(k+1)^p$

... Example 3.9. Similarly as in Example (3.7.), let us assume that 𝑥 𝑓 = 4 would be the non- trivial solution. This example demonstrates the fact that 𝐹 ⊆ 𝑍, which follows from Lemma (3.5.), since the elements in both sets ...

5

1 (5 Chloro 6 meth­oxy­naphthalen 2 yl)propan 1 one

1 (5 Chloro 6 meth­oxy­naphthalen 2 yl)propan 1 one

... (30 ml) was cooled to about 273 K, and a solution of 1-chloro-2- methoxynaphthalene (1.93 g) in dichloromethane (30 ml) was added dropwise to the mixture with stirring, maintaining the temperature ...

6

Thue–Morse Constant is Not Badly Approximable

Thue–Morse Constant is Not Badly Approximable

... Thue-Morse constant is not badly approximable 5 has a badly approximable value at z = 1/2, moreover the continued fraction of fM 1/2 consists of just partial P∞ k quotients 1 and 2 actua[r] ...

20

5 Methoxyspiro­[1 benzo­furan 2(3H),2′ chroman]

5 Methoxyspiro­[1 benzo­furan 2(3H),2′ chroman]

... chromatography using hexane- ethyl acetate (80:20) afforded the title compound (2), as a white solid that was recrystallized from ethyl acetate to give colourless needles (37 mg, 51%, m.p. 363–365 K. MS ...

6

3 (1 Methyl 5 nitro­imidazol 2 yl) 1 (methyl­sulfonyl)­imidazolidin 2 one

3 (1 Methyl 5 nitro­imidazol 2 yl) 1 (methyl­sulfonyl)­imidazolidin 2 one

... 458±459 K (sample ...in 1 ml of DMF on a water bath and leaving the solution at room temperature for several hours; the melting point of this sample was found to be the same as that of sample ...

10

3 (5 Methyl 2 fur­yl) 1 (p tol­yl) 2 propen 1 one

3 (5 Methyl 2 fur­yl) 1 (p tol­yl) 2 propen 1 one

... Dimmock, J. R., Kandepu, N. M., Hetherington, M., Quail, J. W., Pugazhenthi, U., Sudom, A. M., Chamankhah, M., Rose, P., Pass, E., Allen, T. M., Halleran, S., Szydlowski, J., Mutus, B., Tannous, M., Manavathu, E. ...

5

2 (1 Adamant­yl) 4 bromo­anisole at 123 K

2 (1 Adamant­yl) 4 bromo­anisole at 123 K

... molecular C—H O hydrogen bonds influence the molecular conformation. The crystal packing exhibits C—H inter- actions, with a relatively short intermolecular C Cg contact of 3.568 (5) A ˚ , where Cg is the centroid ...

7

2 (5 Bromo 2 methyl 4 nitro­imidazol 1 yl) 1 (2 chloro­phen­yl)ethanone

2 (5 Bromo 2 methyl 4 nitro­imidazol 1 yl) 1 (2 chloro­phen­yl)ethanone

... isomer, 2-(4-bromo-2-methyl-5-nitro-1H-imidazol-1-yl)-1-(2-chloro- phenyl)ethanone, were obtained in yields of 50% and 6%, respec- ...

7

2 (1′,5′,5 Tri­methyl 3,3′ bi 1H pyrazol 1 yl)ethanol

2 (1′,5′,5 Tri­methyl 3,3′ bi 1H pyrazol 1 yl)ethanol

... for 2 h. After cooling to 273 K, the excess hydride was destroyed by slow addition of water ...for 2 h, the solid material filtered off and the residue washed with hot ...

6

() 5 Ethyl 1 methyl 5 phenyl­pyrimidine 2,4,6 trione at 163 K

() 5 Ethyl 1 methyl 5 phenyl­pyrimidine 2,4,6 trione at 163 K

... N1 0.0289 (7) 0.0251 (7) 0.0227 (7) −0.0013 (5) 0.0076 (6) −0.0019 (5) C1 0.0446 (12) 0.0456 (13) 0.0271 (10) 0.0027 (10) 0.0128 (9) −0.0052 (8) C2 0.0232 (8) 0.0188 (8) 0.0294 (8) −0.0035 (6) 0.0076 (6) ...

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5 Eth­oxy 5 (1 hy­droxy­ethyl) 1 methyl­pyrrolidin 2 one

5 Eth­oxy 5 (1 hy­droxy­ethyl) 1 methyl­pyrrolidin 2 one

... The title compound was prepared by the photolysis of N-methyl- succinimide in ethanol. A solution of 1.0 g of N-methylsuccinimide in 100 ml ethanol was irradiated under a 254 nm low-pressure mercury lamp for 17 h, and ...

6

Notes on the Power Sum $1^k+2^k+...+n^k$

Notes on the Power Sum $1^k+2^k+...+n^k$

... integers k ≥ 0, and n ≥ 1. The interested reader may refer to [1, 2, 4, 5, 7, 8, 12, 13, 14, 15, 16, 19, 22, 23, 24, 29, 31, 32, 33, 35, 38, 40, 42, 43, 44] for the history of this ...

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5 (Naphthalen 1 yl)isophthalic acid–di­methyl sulfoxide–water (2/1/2)

5 (Naphthalen 1 yl)isophthalic acid–di­methyl sulfoxide–water (2/1/2)

... In the solid state, isophthalic acid creates an interesting bond stabilized tape structure (Derissen, 1974) with the dimer motif of carboxylic acids (Burrows, 2004) showing particular effectiveness. Substitution of the ...

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1 (2 Carb­­oxy­eth­yl) 5 ethyl 2 methyl­pyridinium chloride

1 (2 Carb­­oxy­eth­yl) 5 ethyl 2 methyl­pyridinium chloride

... O2 0.0687 (7) 0.0570 (7) 0.0404 (6) 0.0055 (6) −0.0043 (5) −0.0115 (5) Cl1 0.0537 (2) 0.0563 (2) 0.03510 (19) −0.01908 (17) 0.00042 (14) −0.01085 (14) N1 0.0393 (5) 0.0394 (6) 0.0274 ...

7

(±) 1 {8′ (tert Butyl­di­phenyl­silyl­oxy­meth­yl) 1′,7′ dioxa­spiro­[5 5]undecan 2′ yl}uridine

(±) 1 {8′ (tert Butyl­di­phenyl­silyl­oxy­meth­yl) 1′,7′ dioxa­spiro­[5 5]undecan 2′ yl}uridine

... (ii) 1/2 - x, -1/2 + y, 1/2 - z; (iii) 1/2 + x, 3/2 - y, 1/2 + z; (iv) -x + 1, -y + 1, -z + ...

10

1 [(E) 2 (2 Hy­dr­oxy 5 methyl­phen­yl)diazen 2 ium 1 yl]naphthalen 2 olate

1 [(E) 2 (2 Hy­dr­oxy 5 methyl­phen­yl)diazen 2 ium 1 yl]naphthalen 2 olate

... conjugation to the azo bridge (i.e. 2-naphthol) (Olivieri et al.., 1989). In particular, azo dyes that contain a naphtholic hy- droxy group conjugated with the azo linkage exist in aqueous solution as an ...

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Voltammetric Quantification of Phytoesterone 1-[5-(1, 3- Benzodioxol-5-yl)-1-oxo-2, 4-pentadienyl] Piperidine

Voltammetric Quantification of Phytoesterone 1-[5-(1, 3- Benzodioxol-5-yl)-1-oxo-2, 4-pentadienyl] Piperidine

... The reaction kinetics of piperine on surface of glassy carbon electrode was studied by employing cyclic voltammetry as electroanalytical technique. Fig.2A represents the effect of scan rate on peak current and peak ...

13

(2E) 3 (2 Bromo­phen­yl) 1 (5 bromo­thio­phen 2 yl)prop 2 en 1 one

(2E) 3 (2 Bromo­phen­yl) 1 (5 bromo­thio­phen 2 yl)prop 2 en 1 one

... molecules (Fig. 1). The five-membered thiophene rings (S3a\C5a\···C8a) & (S3b\C5b\···C8b) are not coplanar with the phenyl rings (C12 a \C13 a \···C17 a ) & (C12 b \C13 b \···C17 b ) system; the dihedral ...

8

5 Phenyl 1 (2 thien­yl)penta 2,4 dien 1 one

5 Phenyl 1 (2 thien­yl)penta 2,4 dien 1 one

... Data collection: X-AREA Stoe & Cie, 2001; cell refinement: X-AREA; data reduction: X-AREA; programs used to solve structure: SHELXS97 Sheldrick, 1997; programs used to refine structure: [r] ...

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