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Classical Mechanics

Coefficient of Restitution

A fractional measure of elasticity in a collision, defined as ratio of relative separation speed to relative approach speed.

e = (v2_f - v1_f) / (v1_i - v2_i) Dimensionless (0 to 1) Plasma Physics

Cold Atmospheric Pressure Plasma Jet

A non-thermal plasma discharge generated at ambient atmospheric pressure where heavy ions remain near room temperature while free electrons…

T_gas ≈ 300 K (Room Temp), T_electron ~ 10,000–50,000 K K (Gas Temperature ~300 K) Foundations of Physics

Combining Uncertainties

The mathematical rules used to propagate individual measurement uncertainties into calculated final results.

Addition: ΔZ = √(ΔX² + ΔY²); Product: ΔZ/Z = √((ΔX/X)² + (ΔY/Y)²) Various Quantum & Atomic Physics

Commutator

A mathematical operator evaluating whether two quantum mechanical operators commute with one another.

[Â, B̂] =  B̂ - B̂  Product Unit of  and B̂ Classical Mechanics

Completely Inelastic Collision

A collision in which colliding bodies stick together after impact, moving as a single combined mass with maximum kinetic energy loss.

m1 v1 + m2 v2 = (m1 + m2) Vf kg·m/s, m/s Mathematical & Computational Physics

Complex Analysis

The branch of mathematical analysis studying functions of complex variables f(z) = u(x,y) + i v(x,y).

∮_C f(z) dz = 2 π i ∑ Res(f, z_k) (Residue Theorem) Complex Function Theory Optics

Compound Microscope

A two-stage optical instrument utilizing a short-focal-length objective lens and a longer-focal-length eyepiece to achieve high…

M_total = m_obj × M_eye ≈ (L / f_obj) × (D / f_eye) Dimensionless (×) Waves, Oscillations & Acoustics

Compound Pendulum

A rigid body suspended from a fixed horizontal axis that oscillates under gravity about a pivot point.

T = 2π √(I / (m g d)) s Quantum & Atomic Physics

Compton Effect

The decrease in energy (increase in wavelength) of an X-ray or gamma-ray photon when scattered by a stationary electron.

Δλ = λ' - λ = (h / (m_e c)) (1 - cos θ) m or pm (Wavelength Increase) Biophysics & Medical Physics

Computed Tomography (CT Scan)

A diagnostic medical imaging modality combining rotating X-ray tubes and digital detectors with filtered back-projection algorithms to…

Hounsfield Unit HU = 1000 × (μ_tissue - μ_water) / (μ_water - μ_air) Hounsfield Units (HU, Water = 0, Air = -1000, Bone = +1000) Condensed Matter & Materials Physics

Conduction Band

The range of electron energy bands higher than the valence band where electrons are delocalized and free to move throughout the crystal…

E ≥ E_c (Populated by free charge carriers) eV (Energy Levels) Classical Mechanics

Conservation of Linear Momentum

The law stating that total linear momentum of an isolated system remains constant if no net external force acts on it.

∑ p_initial = ∑ p_final kg·m/s Classical Mechanics

Conservative Force

A force for which total work done in moving an object between two points is independent of the path taken.

∮ F · dr = 0, F = -∇ PE N Waves, Oscillations & Acoustics

Constructive & Destructive Interference

The phenomenon where overlapping coherent waves combine to reinforce (constructive) or cancel (destructive) each other's amplitude.

Path Diff ΔL = m λ (Constructive), ΔL = (m + ½) λ (Destructive) m Geophysics & Environmental Physics

Continental Drift

The historical hypothesis proposed by Alfred Wegener in 1912 stating that Earth's continents were once joined in a single supercontinent…

Historical Wegener Hypothesis (Pangea Supercontinent) Geologic Time Scale (Millions of Years) Classical Mechanics

Continuity Equation

The equation expressing conservation of mass for fluid flow through a pipe or conduit.

A1 v1 = A2 v2 = constant (Volumetric Flow Rate Q) m³/s Nuclear & Particle Physics

Control Rods

Movable rods composed of high-neutron-capture elements (like cadmium, boron, or hafnium) inserted into a nuclear reactor core to regulate…

Neutron Capture Reaction: ¹⁰B + n → ⁷Li + α Reactivity Control (pcm) Foundations of Physics

Control Variable

Any experimental parameter held strictly constant throughout an investigation to isolate the relationship between independent and dependent…

Various Astrophysics, Cosmology & Relativity

Cosmic Inflation

A cosmological theory proposing a brief phase of exponential spatial expansion in the early universe (~10⁻³⁶ to 10⁻³² seconds after the Big…

a(t) = a₀ e^(H t) (Exponential scale factor growth) Ultra-early Epoch (t ~ 10⁻³⁶ s) Astrophysics, Cosmology & Relativity

Cosmic Microwave Background (CMB)

The electromagnetic thermal radiation leftover from the recombination epoch of the early universe (~380,000 years after the Big Bang).

T_CMB = 2.72548 ± 0.00057 K, λ_peak ≈ 1.06 mm Kelvin (2.725 K Blackbody) Nuclear & Particle Physics

Cosmic Rays

High-energy relativistic atomic nuclei and subatomic particles originating from outer space that strike Earth's atmosphere.

Primary Energies up to 10²⁰ eV (Extreme Relativistic Protons) eV or GeV (Particle Energy) Astrophysics, Cosmology & Relativity

Cosmic Strings

Hypothetical 1D subatomic-width topological line defects that may have formed during GUT phase transitions in the early universe.

Linear Mass Density G μ / c² ~ 10⁻⁶ 1D Topological Defect Astrophysics, Cosmology & Relativity

Cosmological Redshift

The stretching of photon wavelengths to longer, redder values as light travels across the expanding space of the universe.

z = (λ_observed - λ_emitted) / λ_emitted, 1 + z = a(t_obs) / a(t_emit) Dimensionless Quantity (z) Plasma Physics

Coulomb Logarithm

The natural logarithm of the ratio of maximum to minimum impact parameters in small-angle Coulomb collision integrals.

ln Λ = ln(r_max / r_min) = ln(λ_D / b_min) ≈ 10–20 Dimensionless Parameter (ln Λ)