3-(o-(Methylthio)phenyl)-1-phenylprop-2-en-1-one (48) ¡B1-(o-(methylthio)-phenyl)-3-phenylprop-2-en-1-one (49) and 1-(o-(methylthio)phenyl)-3-phenylprop-2-yn-1-one (50) had been studied by means of pyrolysis and photolysis. Under pyrolytic conditions, compound 48 gave phenanthrene (2) as the major product. Both compounds 49 and 50 gave thioflavone (53) as the major product. Under photolytic conditions, compounds 48-50 gave the expected products 2-benzoylbenzo[b]thiophene (51)¡B 2-benzylidenebenzo[b]thiophen-3-one (52) and thioflavone (53), respectively.

1-(o-(Dimethylamino)phenyl)-3-phenylprop-2-en-1-one (62), 3-(o-(dimethylamino)phenyl)-1-phenylpropenone (63) and 1-(o-(dimethyl- amino)phenyl)-3-phenylprop-2-yn-1-one (64) were synthesized and their pyrolytic and photolytic chemistry were studied. Flash vacuum pyrolysis (FVP) of 62 and 64 gave 11H-benzo[a]carbazole (72) and benzo[c]carba-zole (73), FVP of 63 gave phenanthrene (2) and 1-methylquinolin-2(1H)-one (84). Under photolytic conditions, 62 and 64 gave the expected photocyclic products 1-methyl-2-phenylquinolin-4-one (65), while 63 gave the expected photocyclic products (1-methyl-1H-indol-2-yl)phenyl-methanone (66).

1. Generation of nitrenes by means of photolysis of arylmethylazides and its derivatives have been studies. Pyrolysis of 2-azidomethylthiophene¡]44a¡^ gave 2-thiophenecarboxaldehyde¡]77a¡^and (2-thienylmethylidene)-2-thienylamine¡]45a¡^, and pyrolysis of 2-azidomethylbenzo[b]thiophene¡]44b¡^gave the corresponding products. Pyrolysis of 2-azido-1-(2-thienyl)ethanone¡]52a¡^gave 2-thiophenecarboxaldehyde¡]77a¡^, 2-acetylthiophene¡]80a¡^and 2-(thiophene-2-carbonyl)amino-1-(2-thienyl)ethanone¡]83a¡^, and pyrolysis of 2-azido-1-(2-benzo[b]thienyl)ethanone¡]52b¡^gave the corresponding products. 2. Pyrolysis of 3-cyclohexeno[b]furylmethyl benzoate¡]35¡^gave cyclohexeno-4-methylenecyclobuten-3-one¡]25¡^via highly reactive carbene intermediate. At high temperature, compound 25 can continue the reaction of elimination and ring opening to give benzene¡]43¡^, fulvene¡]46¡^, 2-ethylnylcyclohex-1-ene carbaldehyde¡]44¡^ and 4,5-dimethylenecyclopent-2-enone¡]45¡^.

¤@. Photolysis of 2-azido-1-(2- pyridyl)ethanone (68),2-azido-1-(3-pyridyl)ethanone) (69),2-azido-1-(1-methyl-2-pyrryl)ethanone (53) and 2-azido-1-(1-methyl-3-indo yl)ethanone gave Norrish products (71, 7 3-76), (84-86, 89), (92-94) and (93, 95-98). ¤G. Pyrolysis of 2-(azidomethyl)pyridine (9) and 4-(azidomethyl)pyr idine (10) gave the expected products 1,3,5-tri-2-pyridyl-2,4-diaza-1,4-pentadiene (13) and 1,3,5-tri-4-pyridyl-2,4-diaza-1,4-pentadiene (21). ¤T. Pyrolysis of 2-cyclohexeno[b]furylmethyl benzoate (31) gave 2-methylbenzo[b]- furan (40) and benzene products.

¤@¡BPyrolysis of 2-azido-1-(4-methoxyphenyl)ethanone (69) and 2-(2-azidoethyl)furan (85) gave nitrene intermediate to study. There is 2-(4-methoxybenzoyl)-4-(4- methoxyphenyl)imidazole (81) ¡B2-(4-methoxybenzoyl)-5-(4-methoxyphenyl) imidazole] (81¡¦)¡B2,3-di(4-methoxybenzoyl)-5-(4-methoxyphenyl) pyrazine] (82) and 3,5-di(2-furyl) pyridine (92) for pyrolysis products. ¤G¡BPyrolysis of3-methyl-2-cyclohexen[b] furylmethyl benzoate) (50) gave carbene intermediate to study. There is 2,3-dimethylene cyclohexen[b]furan (59) for pyrolysis products.

This dissertation is mainly focused on the analysis, design and optimization of Low-density parity-check (LDPC) codes over channels with large alphabet sets and the applications on compressed sensing (CS) and flash memories. Compared to belief-propagation (BP) decoding, verification-based (VB) decoding has significantly lower complexity and near optimal performance when the channel alphabet set is large. We analyze the verification-based decoding of LDPC codes over the q-ary symmetric channel (q-SC) and propose the list-message-passing (LMP) decoding which off ers a good tradeoff between complexity and decoding threshold. We prove that LDPC codes with LMP decoding achieve the capacity of the q-SC when q and the block length go to infinity. CS is a newly emerging area which is closely related to coding theory and information theory. CS deals with the sparse signal recovery problem with small number of linear measurements. One big challenge in CS literature is to reduce the number of measurements required to reconstruct the sparse signal. In this dissertation, we show that LDPC codes with verification-based decoding can be applied to CS system with surprisingly good performance and low complexity. We also discuss modulation codes and error correcting codes (ECC’s) design for flash memories. We design asymptotically optimal modulation codes and discuss their improvement by using the idea from load-balancing theory. We also design LDPC codes over integer rings and fields with large alphabet sets for flash memories.

1. FVP of arylmethylazides (33b¡B34b) via 3,3-sigmatropic rearrangement gave nitrogen-containing heterocyclic compounds (2b¡B4b). FVP of 35 gave 3-benzyl-2-thiophenecarbaldehyde (65) by 1,2 H shift of nitrene 32 followed by hydrolysis. 2. FVP of benzoic 3-(1-propenyl)-2-thiophenecarboxylic anhydride (67) gave 7-hydroxybenzo[b]thiophene (70) and cyclopenteno[b]thiophene (71). Compound 71 is difficult to synthesize by normal organic synthetic methods. The formation of 7-hydroxybenzo[b]thiophene (70) suggesting the existence of 68. 3. FVP of arylimine gave phenanthridine (3)¡B3-methylpyrrolo[2,3-c] quinoline (69) and thieno[2,3-c]quinoline (134). Such a method can synthesize tricyclic products in one step. On the other hand, photolytic study of arylimine gave compounds 156¡B184¡B164¡B180¡B185 and 186.

Flash vacuum pyrolysis of 2-(2-vinylstyryl)furan derivatives via electrocyclization followed by dehydrogenation will give 2-(2-naphthalen-2-yl)furan analogues, on the other hand, FVP of 2-(2-vinylstyryl)furan derivatives via electrocyclization followed by [1,5]-H shift will give 3-(2-furyl)-1,2-dihydronaphthalene analogues. FVP of 2-[2-(4-methoxyphenyl)vinyl]benzo[b]thiophene gave three products: trans-4-(2-benzo[b]thiophen-2-ylvinyl)phenol, benzo[b]naphtha[1,2-d]thiophen-2-ol and 1H-6-thiacyclopenta[c]fluorene.

1. 2-[2-(2vinylphenyl)ethenyl]thiophene ( 30 ) and 2,2-(o-phenylenedivinylene)dithiophene ( 31 ) were studied under pyrolytic and photolytic conditions, photolytic of 30 gave upon bicyclic product 35, whereas photolytic of 31 gave products 37 and 39, FVP of 30 and 31 gave 34 and 37, respectively,which all include naphthalene nucleus. 2. 2-methoxystilbene ( 17 ) and 3-methoxystilbene ( 18 ) were studied under pyrolytic conditions, FVP of 17 gave single product 2-Phenylbenzo[b]furan ( 23 ), FVP of 18 gave 2-phenanthrol ( 27 ), ( 4-phenanthrol ) ( 28 ), trans-3- hydroxystilbene ( 29 ), Fluoren 9 -one ( 30 ) and a pair of isomer 1H-benz[e]indene ( 11a ) and 3H-benz[e]indene (11b).

This thesis includes two topics. The first topic is a CMOS SRAM using dynamic threshold voltage wordline-transistors, which is focused on high speed applications. The second one is a high voltage generator for FLASH memories. The generated high voltages are applied to the wordline controlled transistors during access and verification operations. By taking advantage of the large current provided by low Vth and low leakage current provided by high Vth, a CMOS SRAM using dynamic threshold voltage wordline transistors is presented. The design of a 4-Kb SRAM is measured to possess a 2.2 ns access time, and consume 43.6 mW in the standby mode. The highest operating clock rate is estimated to be 667 MHz. A high voltage generator using 4 clocks with two phases is presented to provide a high voltage supply required by FLASH memories during programming mode and erase mode operations. The circuit is implemented by TSMC 0.25um 1P5M CMOS process. It can provide as high as +11.7 V and -11.6 V by given VDD=2.5 V.