Terms starting with B
44 terms · page 1 of 2
Balmer Series
Quantum & Atomic Physics
Visible Light Wavelengths (nm)
The spectral series of hydrogen atom emission lines resulting from electron transitions dropping from higher levels (n_i ≥ 3) to the n=2 level.
1 / λ = R_H (1 / 2² - 1 / n_i²), n_i = 3, 4, 5...
Band Gap
Condensed Matter & Materials Physics
eV (Electron-Volts)
The energy range in a solid where no electronic quantum states can exist, separating the top of the valence band from the bottom of the conduction band.
E_g = E_c - E_v = h ν_threshold
Baryons
Nuclear & Particle Physics
Composite Fermion Class
Subatomic composite hadrons made of three valence quarks held together by gluons, possessing half-integer spin (fermions).
Quark Content: q q q, Spin = ½, ³/₂..., Baryon Number B = 1
Base Units
Foundations of Physics
The 7 SI Base Units
The set of seven mutually independent fundamental units of measurement defined by the International System of Units.
BCS Theory
Condensed Matter & Materials Physics
K (Critical Temperature T_c)
The microscopic quantum theory of superconductivity developed by Bardeen, Cooper, and Schrieffer in 1957.
2 Δ(0) ≈ 3.52 k_B T_c, E_gap = 2 Δ
Beats
Waves, Oscillations & Acoustics
Hz
The periodic volume fluctuation or throbbing sound produced by the interference of two sound waves with slightly different frequencies.
f_beat = |f1 - f2|
Bell's Theorem
Quantum & Atomic Physics
Dimensionless Inequality
A mathematical theorem proving that no physical theory incorporating local hidden variables can reproduce all predictions of quantum mechanics.
|E(a, b) - E(a, b')| + |E(a', b) + E(a', b')| ≤ 2
Bernoulli's Principle
Classical Mechanics
Pa
The principle in fluid dynamics stating that an increase in fluid speed occurs simultaneously with a decrease in static pressure or potential energy.
P + ½ ρ v² + ρ g h = constant
Bessel Functions
Mathematical & Computational Physics
Cylindrical Special Functions
A family of canonical special functions J_α(x) and Y_α(x) serving as solutions to Bessel's differential equation.
x² y'' + x y' + (x² - α²) y = 0 ⇒ y(x) = A J_α(x) + B Y_α(x)
Beta Decay
Nuclear & Particle Physics
MeV (Continuous Spectrum)
A radioactive decay process mediated by the weak nuclear force in which a nucleus emits a beta particle (electron or positron) and a neutrino.
β⁻: n → p + e⁻ + ν̄_e; β⁺: p → n + e⁺ + ν_e
Big Bang
Astrophysics, Cosmology & Relativity
Cosmological Epoch (Years)
The prevailing cosmological model describing the universe as originating from an extremely hot, dense state ~13.8 billion years ago and expanding ever since.
T_universe ≈ 13.787 ± 0.020 billion years
Big O Notation
Mathematical & Computational Physics
Algorithmic Asymptotic Complexity
A mathematical notation classifying algorithms according to how their execution time or memory requirements grow as input size N increases.
f(N) = O(g(N)) if |f(N)| ≤ C |g(N)| for N ≥ N₀
Binary Star System
Astrophysics, Cosmology & Relativity
AU (Semi-major axis) & Years (Period)
A stellar system consisting of two gravitationally bound stars orbiting around their common center of mass.
P² = (4 π² / (G (M₁ + M₂))) a³ (Kepler's 3rd Law)
Binding Energy per Nucleon
Nuclear & Particle Physics
MeV/nucleon
The average energy required to remove a single proton or neutron from an atomic nucleus, representing relative nuclear stability.
BE / A = Total Binding Energy / Mass Number
Bio-optics
Biophysics & Medical Physics
Scattering Coefficient μ_s (cm⁻¹) & Absorption μ_a (cm⁻¹)
The study of light interaction with biological tissues and the development of optical diagnostic and therapeutic instruments.
Radiative Transport Equation (RTE) in Turbid Tissues
Bioenergetics
Biophysics & Medical Physics
kJ/mol (Gibbs Free Energy)
The branch of biophysics and biochemistry studying energy transformation, transfer, and coupling mechanisms in living organisms.
ΔG = ΔH - T ΔS, ΔG'° = -R T ln K_eq
Bioimpedance
Biophysics & Medical Physics
Ω (Ohms)
The measure of a biological tissue's opposition to the flow of electric alternating current.
Z = R + i X_c = √(R² + X_c²)
Biological Transducers
Biophysics & Medical Physics
mV / pA (Receptor Signal Output)
Specialized sensory receptor cells that convert external physical or chemical stimuli into graded bioelectrical signals.
Transduction: Physical Stimulus Energy → Receptor Potential (mV)
Bioluminescence
Biophysics & Medical Physics
Photons/s (Bioluminescent Flux)
The enzymatic production and emission of light by living organisms through chemical reactions converting ATP into photon energy.
Luciferin + O₂ + ATP → Oxyluciferin + AMP + PPi + h ν (Light)
Biomechanics of Gait
Biophysics & Medical Physics
m/s (Walking Speed) & Ground Reaction Force (N)
The quantitative analysis of human locomotion mechanics, muscle force coordination, and ground reaction forces during walking or running.
Center of Mass Inverted Pendulum Energy Exchange (T ↔ V)
Biot-Savart Law
Electromagnetism & Electronics
T (Tesla)
An equation describing the magnetic field vector generated at a point in space by a steady differential electric current element.
dB = (μ₀ / 4π) (I dl × r̂) / r²
Bipolar Junction Transistor (BJT)
Electromagnetism & Electronics
A (Current)
A three-terminal active semiconductor device (NPN or PNP) in which a small base current controls a much larger collector-emitter current.
I_E = I_B + I_C, I_C = β I_B
Black Hole
Astrophysics, Cosmology & Relativity
Solar Masses (M_☉) or Kilograms
A region of spacetime where gravitational acceleration is so intense that nothing, including light, can escape beyond its event horizon.
R_s = 2 G M / c²
Bloch's Theorem
Condensed Matter & Materials Physics
Quantum Wave Function State
A fundamental theorem of solid-state physics stating that wave functions for electrons in a periodic crystal potential equal plane waves modulated by a lattice-periodic function.
ψ_k(r) = e^(i k · r) u_k(r), u_k(r + R) = u_k(r)