Thiele-Small Parameter Definitions



This is a list of T/S parameters I have compiled over the years as I found short definitions of them.
You could get more technical on them, I guess, but this gets the point across.

  • Fs - Driver free air resonance, in Hz. This is the point at which driver impedance is maximum.
  • Fc - System resonance (usually for sealed box systems), in Hz
  • Fb - Enclosure resonance (usually for reflex systems), in Hz
  • F3 - -3 dB cutoff frequency, in Hz
  • Vas - "Equivalent volume of compliance", this is a volume of air whose compliance is the same as a driver's acoustical compliance Cms (q.v.), in cubic meters, Liters or feet
  • D - Effective diameter of driver, in meters
  • Sd - Effective piston radiating area of driver in square meters
  • Xmax - Maximum peak linear excursion of driver, usually in millimeters
  • Vd - Maximum linear volume of displacement of the driver (product of Sd times Xmax), in cubic meters.
  • Re - Driver DC resistance (voice coil, mainly), in ohms
  • Rg - Amplifier source resistance (includes leads, crossover, etc.), in ohms
  • Qms - The driver's Q at resonance (Fs), due to mechanical losses; dimensionless
  • Qes - The driver's Q at resonance (Fs), due to electrical losses; dimensionless
  • Qts - The driver's Q at resonance (Fs), due to all losses; dimensionless
  • Qmc - The system's Q at resonance (Fc), due to mechanical losses; dimensionless
  • Qec - The system's Q at resonance (Fc), due to electrical losses; dimensionless
  • Qtc - The system's Q at resonance (Fc), due to all losses; dimensionless
  • Ql - The system's Q at Fb, due to leakage losses; dimensionless
  • Qa - The system's Q at Fb, due to absorption losses; dimensionless
  • Qp - The system's Q at Fb, due to port losses (turbulence, viscosity, etc.); dimensionless
  • n0 - The reference efficiency of the system (eta sub 0) dimensionless, usually expressed as a percentage
  • Cms - The driver's mechanical compliance (reciprocal of stiffness), in m/N
  • Mms - The driver's effective mechanical mass (including air load), in mg
  • Rms - The driver's mechanical losses, in kg/s
  • Cas - Acoustical equivalent of Cms
  • Mas - Acoustical equivalent of Mms
  • Ras - Acoustical equivalent of Rms
  • Cmes - The electrical capacitive equivalent of Mms, in farads
  • Lces - The electrical inductive equivalent of Cms, in henries
  • Res - The electrical resistive equivalent of Rms, in ohms
  • B - Magnetic flux density in gap, in Tesla
  • l - Length of wire immersed in magnetic field, in meters
  • Bl - Electro-magnetic force factor, can be expressed in Tesla-meters or, preferably, in meters/Newton
  • Pa - Acoustical power
  • Pe - Electrical power
  • c - Propagation velocity of sound at STP, approx. 342 m/s
  • p - Density of air at STP 1.18 kg/m^3 (rho)