21 Fractal corrected Schottky potential and Heywang model
-
Abstract
As a material with high dielectric constant, barium titanate has attractive electrical properties that have been extensively studied and reported. On the valencecompensated semiconduction papers led to the positive temperature coefficient (PTC) of the resistance effect found in doped BaTiO3. Also, this material have a strong porosity and his fractal nature influenced on microelectronic properties of material. The framework of this chapter describes the fractal correction of Schottky potential barriers within Heywang’s model. For it is used Tarasov’s fractional calculus with the concept of mass fractal dimension. Also, we involved the complex fractal correction in Schottky potential through relative dielectric permittivity εr and working temperature. This is confirmed by appropriate experimental conditions and the analysis of the fractal surface construction.
Abstract
As a material with high dielectric constant, barium titanate has attractive electrical properties that have been extensively studied and reported. On the valencecompensated semiconduction papers led to the positive temperature coefficient (PTC) of the resistance effect found in doped BaTiO3. Also, this material have a strong porosity and his fractal nature influenced on microelectronic properties of material. The framework of this chapter describes the fractal correction of Schottky potential barriers within Heywang’s model. For it is used Tarasov’s fractional calculus with the concept of mass fractal dimension. Also, we involved the complex fractal correction in Schottky potential through relative dielectric permittivity εr and working temperature. This is confirmed by appropriate experimental conditions and the analysis of the fractal surface construction.
Chapters in this book
- Frontmatter I
- Foreword: Proceedings – Paper selection “Advanced Ceramics and Applications” V
- Contents VII
- List of contributors XI
- 1 A review on current status and future scope of hydrogen fuel cell technology in India and across globe 1
- 2 Porous graphitic carbons derived from seaweed for supercapacitors and the effect of the nanotexture on the rate performance 11
- 3 Rare earth oxide-stabilized zirconia ceramics and composites with enhanced mechanical and functional properties 29
- 4 Glass and glass ceramic layer composites with functional coatings 41
- 5 Structural health monitoring of glass fiber composite materials by piezoelectric nanosensors under cyclic loading 61
- 6 Fractal tools in combating terrorism and money laundering 71
- 7 Inkjet three-dimensional printing of bioceramics and bioglass 85
- 8 Identification of radicals responsible for DNA cleavage by photolysis of bis-oxime esters 101
- 9 Fabrication of hierarchical replicas with near-perfect microstructure using modified biotemplate method 109
- 10 Analysis of the in vivo course of foreign body response to a phycogenic bone substitute using FTIR spectroscopy 117
- 11 Synthesis and structural characterization of some cathode materials for lithium-ion batteries 123
- 12 Application of ceramic components in knee arthroplasties 155
- 13 Nanomaterials application in dentistry 165
- 14 Complications of utilizing ceramic components in orthopedic surgery 173
- 15 Growth and characterization of calcium fluoride single crystals 179
- 16 Ceramic electrolytes for solid oxide fuel cells (SOFCs) as alternative energy sources 205
- 17 E-scrap processing: theory and practice 237
- 18 Intelligent nanomaterials for medicine diagnostic and therapy application 263
- 19 On the doughnut effect and the rainbow proton–silicon interaction potential 271
- 20 The methods of safe storage of spent nuclear fuel and waste 277
- 21 Fractal corrected Schottky potential and Heywang model 293
Chapters in this book
- Frontmatter I
- Foreword: Proceedings – Paper selection “Advanced Ceramics and Applications” V
- Contents VII
- List of contributors XI
- 1 A review on current status and future scope of hydrogen fuel cell technology in India and across globe 1
- 2 Porous graphitic carbons derived from seaweed for supercapacitors and the effect of the nanotexture on the rate performance 11
- 3 Rare earth oxide-stabilized zirconia ceramics and composites with enhanced mechanical and functional properties 29
- 4 Glass and glass ceramic layer composites with functional coatings 41
- 5 Structural health monitoring of glass fiber composite materials by piezoelectric nanosensors under cyclic loading 61
- 6 Fractal tools in combating terrorism and money laundering 71
- 7 Inkjet three-dimensional printing of bioceramics and bioglass 85
- 8 Identification of radicals responsible for DNA cleavage by photolysis of bis-oxime esters 101
- 9 Fabrication of hierarchical replicas with near-perfect microstructure using modified biotemplate method 109
- 10 Analysis of the in vivo course of foreign body response to a phycogenic bone substitute using FTIR spectroscopy 117
- 11 Synthesis and structural characterization of some cathode materials for lithium-ion batteries 123
- 12 Application of ceramic components in knee arthroplasties 155
- 13 Nanomaterials application in dentistry 165
- 14 Complications of utilizing ceramic components in orthopedic surgery 173
- 15 Growth and characterization of calcium fluoride single crystals 179
- 16 Ceramic electrolytes for solid oxide fuel cells (SOFCs) as alternative energy sources 205
- 17 E-scrap processing: theory and practice 237
- 18 Intelligent nanomaterials for medicine diagnostic and therapy application 263
- 19 On the doughnut effect and the rainbow proton–silicon interaction potential 271
- 20 The methods of safe storage of spent nuclear fuel and waste 277
- 21 Fractal corrected Schottky potential and Heywang model 293
