Taxonomy Distribution Report

Overview

• Total Concepts: 600
• Number of Taxonomies: 16
• Average Concepts per Taxonomy: 37.5

Distribution Summary

Category	TaxonomyID	Count	Percentage	Status
FET	FET	57	9.5%	✅
OPT	OPT	53	8.8%	✅
PNJ	PNJ	52	8.7%	✅
MIS	MIS	49	8.2%	✅
Advanced Topics	ADV	48	8.0%	✅
STAT	STAT	43	7.2%	✅
TRANS	TRANS	41	6.8%	✅
CRYST	CRYST	40	6.7%	✅
FAB	FAB	39	6.5%	✅
BJT	BJT	32	5.3%	✅
QM	QM	31	5.2%	✅
CHAR	CHAR	30	5.0%	✅
BAND	BAND	28	4.7%	✅
GREC	GREC	27	4.5%	✅
PWR	PWR	19	3.2%	✅
Foundation Concepts - Prerequisites	FOUND	11	1.8%	ℹ️ Under

Visual Distribution

FET                       ████  57 (  9.5%)
OPT                       ████  53 (  8.8%)
PNJ                       ████  52 (  8.7%)
MIS                       ████  49 (  8.2%)
Advanced Topics           ████  48 (  8.0%)
STAT                      ███  43 (  7.2%)
TRANS                     ███  41 (  6.8%)
CRYST                     ███  40 (  6.7%)
FAB                       ███  39 (  6.5%)
BJT                       ██  32 (  5.3%)
QM                        ██  31 (  5.2%)
CHAR                      ██  30 (  5.0%)
BAND                      ██  28 (  4.7%)
GREC                      ██  27 (  4.5%)
PWR                       █  19 (  3.2%)
Foundation Concepts - Pre   11 (  1.8%)

Balance Analysis

✅ No Over-Represented Categories

All categories are under the 30% threshold. Good balance!

ℹ️ Under-Represented Categories (<3%)

• Foundation Concepts - Prerequisites (FOUND): 11 concepts (1.8%)
• Note: Small categories are acceptable for specialized topics

Category Details

FET (FET)

Count: 57 concepts (9.5%)

Concepts:

• 1. JFET Structure
• 1. JFET Operation
• 1. JFET Pinch-Off
• 1. JFET I-V Characteristics
• 1. MESFET Structure
• 1. MESFET Operation
• 1. MOSFET Structure
• 1. MOSFET Gate
• 1. MOSFET Source
• 1. MOSFET Drain
• 1. MOSFET Substrate
• 1. N-Channel MOSFET
• 1. P-Channel MOSFET
• 1. Enhancement Mode MOSFET
• 1. Depletion Mode MOSFET
• ...and 42 more

OPT (OPT)

Count: 53 concepts (8.8%)

Concepts:

• 1. Light-Emitting Diode
• 1. LED Operation Principle
• 1. LED Materials
• 1. Direct Bandgap LED Requirement
• 1. LED Efficiency
• 1. Internal Quantum Efficiency
• 1. External Quantum Efficiency
• 1. Light Extraction Efficiency
• 1. LED Wavelength Selection
• 1. White LED Technology
• 1. Phosphor Conversion LED
• 1. Laser Diode
• 1. Laser Operation Principle
• 1. Population Inversion
• 1. Optical Gain
• ...and 38 more

PNJ (PNJ)

Count: 52 concepts (8.7%)

Concepts:

• 1. P-N Junction
• 1. Junction Formation
• 1. Depletion Region
• 1. Depletion Approximation
• 1. Built-In Potential
• 1. Contact Potential
• 1. Electric Field in Depletion Region
• 1. Potential Distribution in Junction
• 1. Charge Distribution in Junction
• 1. Depletion Width
• 1. One-Sided Abrupt Junction
• 1. Linearly Graded Junction
• 1. Forward Bias
• 1. Reverse Bias
• 1. Zero Bias Equilibrium
• ...and 37 more

MIS (MIS)

Count: 49 concepts (8.2%)

Concepts:

• 1. Anderson Rule
• 1. Band Discontinuity
• 1. Conduction Band Offset
• 1. Valence Band Offset
• 1. Work Function
• 1. Electron Affinity
• 1. Schottky-Mott Rule
• 1. Metal-Semiconductor Junction
• 1. Schottky Barrier
• 1. Schottky Barrier Height
• 1. Thermionic Emission
• 1. Thermionic Emission Current
• 1. Image Force Lowering
• 1. Barrier Lowering
• 1. Ohmic Contact
• ...and 34 more

Advanced Topics (ADV)

Count: 48 concepts (8.0%)

Concepts:

• 1. III-V Semiconductor Compounds
• 1. GaAs Properties
• 1. InP Properties
• 1. InGaAs Properties
• 1. AlGaAs Properties
• 1. InGaAsP Properties
• 1. II-VI Semiconductor Compounds
• 1. Wide-Bandgap Semiconductors
• 1. GaN Material Properties
• 1. GaN Crystal Growth
• 1. AlGaN Alloy
• 1. AlGaN/GaN Heterostructure
• 1. SiC Polytypes
• 1. SiC Properties
• 1. Quantum Well Structure
• ...and 33 more

STAT (STAT)

Count: 43 concepts (7.2%)

Concepts:

• 1. Fermi Energy
• 1. Fermi Level
• 1. Fermi-Dirac Distribution
• 1. Maxwell-Boltzmann Distribution
• 1. Bose-Einstein Distribution
• 1. Effective Density of States
• 1. Conduction Band Effective DOS
• 1. Valence Band Effective DOS
• 1. Intrinsic Carrier Concentration
• 1. Intrinsic Fermi Level
• 1. Temperature Dependence ni
• 1. Law of Mass Action
• 1. Electron Concentration Formula
• 1. Hole Concentration Formula
• 1. Charge Neutrality Condition
• ...and 28 more

TRANS (TRANS)

Count: 41 concepts (6.8%)

Concepts:

• 1. Drift Current
• 1. Drift Velocity
• 1. Carrier Mobility
• 1. Electron Mobility
• 1. Hole Mobility
• 1. Low-Field Mobility
• 1. High-Field Mobility
• 1. Velocity Saturation
• 1. Saturation Velocity
• 1. Hot Carriers
• 1. Lattice Scattering
• 1. Phonon Scattering
• 1. Acoustic Phonon Scattering
• 1. Optical Phonon Scattering
• 1. Intervalley Scattering
• ...and 26 more

CRYST (CRYST)

Count: 40 concepts (6.7%)

Concepts:

• 1. Crystal Lattice
• 1. Unit Cell
• 1. Primitive Cell
• 1. Basis Vectors
• 1. Simple Cubic Structure
• 1. Face-Centered Cubic Structure
• 1. Body-Centered Cubic Structure
• 1. Diamond Cubic Structure
• 1. Zincblende Structure
• 1. Wurtzite Structure
• 1. Miller Indices
• 1. Crystal Planes
• 1. Crystal Directions
• 1. Reciprocal Lattice
• 1. First Brillouin Zone
• ...and 25 more

FAB (FAB)

Count: 39 concepts (6.5%)

Concepts:

• 1. Czochralski Crystal Growth
• 1. Float-Zone Crystal Growth
• 1. Crystal Ingot Processing
• 1. Wafer Preparation
• 1. Epitaxial Growth
• 1. Molecular Beam Epitaxy
• 1. Metal-Organic CVD
• 1. Chemical Vapor Deposition
• 1. Thermal Oxidation of Silicon
• 1. Deal-Grove Model
• 1. Dry Oxidation
• 1. Wet Oxidation
• 1. Diffusion in Solids
• 1. Fick First Law
• 1. Fick Second Law
• ...and 24 more

BJT (BJT)

Count: 32 concepts (5.3%)

Concepts:

• 1. Bipolar Junction Transistor
• 1. NPN Transistor
• 1. PNP Transistor
• 1. BJT Regions of Operation
• 1. Active Region BJT
• 1. Saturation Region BJT
• 1. Cutoff Region BJT
• 1. Common-Emitter Configuration
• 1. Common-Base Configuration
• 1. Common-Collector Configuration
• 1. Emitter Injection Efficiency
• 1. Base Transport Factor
• 1. Current Gain Beta
• 1. Current Gain Alpha
• 1. Collector Current
• ...and 17 more

QM (QM)

Count: 31 concepts (5.2%)

Concepts:

• 1. Wave-Particle Duality
• 1. de Broglie Wavelength
• 1. Heisenberg Uncertainty Principle
• 1. Schrodinger Equation
• 1. Time-Dependent Schrodinger Equation
• 1. Time-Independent Schrodinger Equation
• 1. Wave Function
• 1. Probability Density
• 1. Quantum Normalization
• 1. Particle in a Box
• 1. Infinite Potential Well
• 1. Finite Potential Well
• 1. Quantum Tunneling
• 1. Tunnel Probability
• 1. WKB Approximation
• ...and 16 more

CHAR (CHAR)

Count: 30 concepts (5.0%)

Concepts:

• 1. Device Characterization Methods
• 1. I-V Measurement
• 1. C-V Measurement
• 1. Hall Measurement
• 1. Four-Point Probe
• 1. DLTS Technique
• 1. Optical Characterization
• 1. Photoluminescence Spectroscopy
• 1. Electroluminescence
• 1. Raman Spectroscopy
• 1. Transmission Electron Microscopy
• 1. Scanning Electron Microscopy
• 1. Secondary Ion Mass Spectrometry
• 1. Auger Electron Spectroscopy
• 1. SPICE Compact Models
• ...and 15 more

BAND (BAND)

Count: 28 concepts (4.7%)

Concepts:

• 1. Direct Bandgap
• 1. Indirect Bandgap
• 1. Energy Band Diagram
• 1. Conduction Band
• 1. Valence Band
• 1. Forbidden Energy Gap
• 1. Crystal Momentum
• 1. Band Gap Origin
• 1. Free Electron Model
• 1. Nearly-Free Electron Model
• 1. Tight-Binding Model
• 1. Linear Combination of Atomic Orbitals
• 1. E-k Dispersion Relation
• 1. Effective Mass Approximation
• 1. Longitudinal Effective Mass
• ...and 13 more

GREC (GREC)

Count: 27 concepts (4.5%)

Concepts:

• 1. Minority Carrier Lifetime
• 1. Minority Carrier Diffusion Length
• 1. Recombination Rate
• 1. Generation Rate
• 1. Direct Recombination
• 1. Band-to-Band Recombination
• 1. Radiative Recombination
• 1. Radiative Recombination Coefficient
• 1. Shockley-Read-Hall Recombination
• 1. Trap-Assisted Recombination
• 1. Trap Density
• 1. Trap Energy Level
• 1. Capture Cross Section
• 1. Auger Recombination
• 1. Auger Coefficient
• ...and 12 more

PWR (PWR)

Count: 19 concepts (3.2%)

Concepts:

• 1. Power Diode Structure
• 1. Power Diode Ratings
• 1. Thyristor Structure
• 1. Thyristor Operation
• 1. Silicon-Controlled Rectifier
• 1. IGBT Structure
• 1. IGBT Operation
• 1. Power MOSFET
• 1. Superjunction MOSFET
• 1. High-Voltage Device Design
• 1. Breakdown Engineering
• 1. Punch-Through Voltage
• 1. Gunn Diode
• 1. Gunn Effect
• 1. Transferred Electron Effect
• ...and 4 more

Foundation Concepts - Prerequisites (FOUND)

Count: 11 concepts (1.8%)

Concepts:

• 1. Semiconductor Definition
• 1. Conductor vs Insulator vs Semiconductor
• 1. Elemental Semiconductors
• 1. Compound Semiconductors
• 1. Silicon Material Properties
• 1. Germanium Material Properties
• 1. Gallium Arsenide Properties
• 1. Indium Phosphide Properties
• 1. Gallium Nitride Properties
• 1. Silicon Carbide Properties
• 1. Bandgap Energy

Recommendations

• ✅ Excellent balance: Categories are evenly distributed (spread: 7.7%)
• ✅ MISC category minimal: Good categorization specificity

Educational Use Recommendations

• Use taxonomy categories for color-coding in graph visualizations
• Design curriculum modules based on taxonomy groupings
• Create filtered views for focused learning paths
• Use categories for assessment organization
• Enable navigation by topic area in interactive tools

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Report generated by learning-graph-reports/taxonomy_distribution.py