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Thermodynamics & Statistical Physics

Calorimetry

The experimental science and practice of measuring heat energy changes during chemical or physical transformations.

Q_lost = Q_gained ⇒ m1 c1 (T1 - T_f) = m2 c2 (T_f - T2) J
Foundations of Physics

Candela

The SI base unit of luminous intensity in a given direction, defined by fixing the luminous efficacy of 540 THz monochromatic radiation to…

Iv = dΦv / dΩ cd
Mathematical & Computational Physics

Canonical Transformation

A change of coordinates in phase space (q, p) → (Q, P) that preserves the canonical form of Hamilton's equations.

(q, p) → (Q, P) such that Q̇_i = ∂K / ∂P_i, Ṗ_i = -∂K / ∂Q_i Phase Space Coordinate Transformation
Electromagnetism & Electronics

Capacitance

The ratio of the electric charge stored on a conductor or capacitor plate to the potential difference across it.

C = q / V = ε A / d F (Farads = C/V)
Electromagnetism & Electronics

Capacitive Reactance

The opposition offered by a capacitor to alternating current flow, inversely proportional to AC frequency and capacitance.

X_C = 1 / (2π f C) = 1 / (ω C) Ω (Ohms)
Condensed Matter & Materials Physics

Carbon Nanotubes

Cylindrical nanostructures composed of rolled-up single-layer graphene sheets possessing exceptional mechanical strength and electrical…

Chiral Vector C_h = n a₁ + m a₂ nm (Nanotube Diameter)
Biophysics & Medical Physics

Cardiac Biomechanics

The application of solid and fluid mechanics principles to model heart chamber contraction, blood flow dynamics, and myocardial wall stress.

Wall Stress σ = (P × r) / (2 h) (Law of Laplace for Spheres) kPa (Myocardial Wall Stress) & mmHg (Pressure)
Thermodynamics & Statistical Physics

Carnot Cycle

An ideal reversible thermodynamic cycle operating between two thermal reservoirs, establishing maximum theoretical efficiency for heat…

η_Carnot = 1 - (T_cold / T_hot) Dimensionless (%)
Foundations of Physics

Cartesian Coordinates

An orthogonal coordinate system that specifies point locations in space using signed distance projections along mutually perpendicular axes…

d = √((x2-x1)² + (y2-y1)² + (z2-z1)²) m
Optics

Cartesian Sign Convention

A standardized coordinate rule used in geometric optics to assign consistent algebraic signs to distances, heights, and focal lengths.

Origin at optical center/pole; light travels left to right (+x) N/A
Quantum & Atomic Physics

Casimir Effect

An attractive physical force acting between two uncharged parallel conductive plates in vacuum, arising from quantum vacuum fluctuations.

F / A = - (π² ℏ c) / (240 d⁴) N/m² (Pressure)
Optics

Cassegrain Telescope

A compact reflecting telescope design combining a concave parabolic primary mirror and a convex hyperbolic secondary mirror.

f_effective = f_primary × (Magnification of secondary) Dimensionless
Foundations of Physics

Centre of Mass

The unique spatial point representing the mean mass-weighted position of a physical system or extended rigid body.

R_cm = ∑ m_i r_i / ∑ m_i m
Classical Mechanics

Centripetal Acceleration

The inward acceleration of an object moving in a circular path, directed toward the center of curvature.

ac = v² / r = ω² r m/s²
Classical Mechanics

Centripetal Force

The net inward force directed toward the center of curvature that keeps an object moving along a curved or circular path.

Fc = m v² / r = m ω² r N
Geophysics & Environmental Physics

Chandler Wobble

A small periodic nutation wobble of Earth's rotational axis relative to its solid crust with a period of ~433 days.

Period T ≈ 433 days, Amplitude ~ 3–15 meters Arcseconds or Meters at Surface
Astrophysics, Cosmology & Relativity

Chandrasekhar Limit

The maximum mass that a stable white dwarf star can support against gravitational collapse via electron degeneracy pressure.

M_Ch ≈ 1.4 M_☉ (1.44 Solar Masses) Solar Masses (M_☉)
Mathematical & Computational Physics

Chaos Theory

The study of deterministic non-linear dynamical systems that exhibit extreme sensitivity to initial conditions (the butterfly effect).

Lyapunov Exponent: δx(t) ≈ δx₀ e^(λ t), λ > 0 Divergence Rate λ (s⁻¹)
Thermodynamics & Statistical Physics

Charles's Law

An ideal gas law stating that gas volume is directly proportional to absolute thermodynamic temperature at constant pressure.

V1 / T1 = V2 / T2 (at constant P) m³/K
Thermodynamics & Statistical Physics

Chemical Potential

The change in system free energy per added particle at constant temperature and pressure.

μ = (∂G / ∂N)_{T,P} = (∂U / ∂N)_{S,V} J/particle (or J/mol)
Nuclear & Particle Physics

Cherenkov Radiation

The characteristic blue optical shockwave radiation emitted when a charged particle travels through a dielectric medium faster than the…

cos θ = c / (n v) = 1 / (n β) Blue Light Photons (~400 nm)
Optics

Chromatic Aberration

An optical distortion in lenses caused by material dispersion, where different wavelengths of light focus at different spatial positions.

f_blue < f_red (v = c/n(λ)) m
Classical Mechanics

Circular Motion

The movement of an object along the circumference of a circular path or orbit.

v = ω r, ac = v² / r m/s, rad/s
Waves, Oscillations & Acoustics

Closed Organ Pipes

An acoustic pipe closed at one end and open at the other, having a displacement node at the closed end and an antinode at the open end.

f_n = n v / (4 L) (n = 1, 3, 5, ...) Hz