Quantity Hierarchies

This section contains all quantity hierarchy trees across all systems, grouped by their dimensional formula to help identify dimensionally equivalent quantities.

Dimension: 1

• dimensionless (54 quantities)

Dimension: A

• isq::traffic_intensity (3 quantities)

Dimension: E

• natural::energy (5 quantities)

Dimension: I

• isq::electric_current (7 quantities)

Dimension: J

• isq::luminous_intensity (1 quantity)

Dimension: L

• isq::length (13 quantities)

Dimension: M

• isq::mass (1 quantity)

Dimension: N

• isq::amount_of_substance (1 quantity)

Dimension: T

• isq::duration (5 quantities)

Dimension: Θ

• isq::thermodynamic_temperature (3 quantities)

Dimension: α

• angular::angle (1 quantity)

Dimension: E²

• natural::energy_squared (2 quantities)

Dimension: IT

• isq::electric_charge (2 quantities)
• isq::electric_flux (1 quantity)

Dimension: L²

• isq::area (1 quantity)

Dimension: L³

• isq::section_modulus (1 quantity)
• isq::volume (1 quantity)

Dimension: L⁴

• isq::second_axial_moment_of_area (1 quantity)
• isq::second_polar_moment_of_area (1 quantity)

Dimension: α²

• angular::solid_angle (1 quantity)
• isq_angle::solid_angular_measure (1 quantity)

Dimension: E⁻¹

• natural::inverse_energy (3 quantities)

Dimension: ILT

• isq::electric_dipole_moment (1 quantity)

Dimension: IL²

• isq::magnetic_moment (1 quantity)

Dimension: L²M

• isq::moment_of_inertia (1 quantity)

Dimension: L⁻¹

• isq::angular_repetency (1 quantity)
• isq::attenuation (1 quantity)
• isq::curvature (1 quantity)
• isq::phase_coefficient (1 quantity)
• isq::propagation_coefficient (1 quantity)
• isq::repetency (2 quantities)

Dimension: T⁻²

• isq::angular_acceleration (1 quantity)

Dimension: T⁻¹

• isq::activity (1 quantity)
• isq::angular_frequency (1 quantity)
• isq::angular_velocity (1 quantity)
• isq::call_intensity (2 quantities)
• isq::damping_coefficient (1 quantity)
• isq::frequency (2 quantities)
• isq::modulation_rate (1 quantity)
• isq::rotational_frequency (1 quantity)
• isq::transfer_rate (3 quantities)

Dimension: Θ⁻¹

• isq::cubic_expansion_coefficient (1 quantity)
• isq::linear_expansion_coefficient (1 quantity)
• isq::relative_pressure_coefficient (1 quantity)

Dimension: IL⁻²

• isq::electric_current_density (3 quantities)

Dimension: IL⁻¹

• isq::linear_electric_current_density (1 quantity)
• isq::magnetization (3 quantities)

Dimension: LT⁻²

• isq::acceleration (2 quantities)

Dimension: LT⁻¹

• isq::group_speed (1 quantity)
• isq::phase_speed (1 quantity)
• isq::phase_speed_of_electromagnetic_waves (1 quantity)
• isq::speed (4 quantities)

Dimension: ML⁻²

• isq::surface_mass_density (1 quantity)

Dimension: ML⁻³

• isq::mass_density (3 quantities)

Dimension: ML⁻¹

• isq::linear_mass_density (1 quantity)

Dimension: MT⁻²

• isq::radiant_exposure (1 quantity)
• isq::spectral_radiant_energy_density_in_terms_of_wavenumber (1 quantity)
• isq::surface_tension (1 quantity)

Dimension: MT⁻³

• isq::Poynting_vector (1 quantity)
• isq::density_of_heat_flow_rate (1 quantity)
• isq::irradiance (1 quantity)
• isq::radiance (1 quantity)
• isq::radiant_exitance (1 quantity)

Dimension: MT⁻¹

• isq::mass_change_rate (1 quantity)
• isq::mass_flow_rate (1 quantity)

Dimension: αL⁻¹

• isq_angle::angular_repetency (1 quantity)
• isq_angle::phase_coefficient (1 quantity)
• isq_angle::propagation_coefficient (1 quantity)

Dimension: αT⁻²

• isq_angle::angular_acceleration (1 quantity)

Dimension: αT⁻¹

• isq_angle::angular_frequency (1 quantity)
• isq_angle::angular_velocity (1 quantity)

Dimension: ITL⁻²

• isq::electric_polarization (2 quantities)
• isq::surface_density_of_electric_charge (1 quantity)

Dimension: ITL⁻³

• isq::electric_charge_density (1 quantity)

Dimension: ITL⁻¹

• isq::linear_density_of_electric_charge (1 quantity)

Dimension: LMT⁻²

• isq::force (6 quantities)
• isq::spectral_radiant_energy (1 quantity)

Dimension: LMT⁻³

• isq::spectral_radiant_flux (1 quantity)
• isq::spectral_radiant_intensity (1 quantity)

Dimension: LMT⁻¹

• isq::momentum (2 quantities)

Dimension: L²T⁻²

• isq::absorbed_dose (1 quantity)
• isq::dose_equivalent (1 quantity)
• isq::specific_energy (5 quantities)

Dimension: L²T⁻¹

• isq::kinematic_viscosity (1 quantity)
• isq::thermal_diffusivity (1 quantity)

Dimension: L³M⁻¹

• isq::specific_volume (1 quantity)

Dimension: L³T⁻¹

• isq::volume_flow_rate (1 quantity)

Dimension: LT²M⁻¹

• isq::compressibility (3 quantities)

Dimension: L²MT⁻²

• isq::energy (14 quantities)
• isq::moment_of_force (2 quantities)

Dimension: L²MT⁻³

• isq::complex_power (3 quantities)
• isq::heat_flow_rate (1 quantity)
• isq::power (7 quantities)
• isq::radiant_intensity (1 quantity)
• isq::reactive_power (1 quantity)

Dimension: L²MT⁻¹

• isq::action (1 quantity)
• isq::angular_momentum (2 quantities)

Dimension: L²Mα⁻²

• isq_angle::moment_of_inertia (1 quantity)

Dimension: ΘT³M⁻¹

• isq::thermal_insulance (1 quantity)

Dimension: LΘT²M⁻¹

• isq::Joule_Thomson_coefficient (1 quantity)

Dimension: MI⁻¹T⁻²

• isq::magnetic_flux_density (2 quantities)

Dimension: ML⁻²T⁻²

• isq::spectral_radiant_energy_density_in_terms_of_wavelength (1 quantity)

Dimension: ML⁻²T⁻¹

• isq::mass_flow (1 quantity)

Dimension: ML⁻¹T⁻²

• isq::electromagnetic_energy_density (1 quantity)
• isq::modulus_of_compression (1 quantity)
• isq::modulus_of_elasticity (1 quantity)
• isq::modulus_of_rigidity (1 quantity)
• isq::pressure (5 quantities)
• isq::radiant_energy_density (1 quantity)
• isq::spectral_radiant_exposure (1 quantity)

Dimension: ML⁻¹T⁻³

• isq::spectral_irradiance (1 quantity)
• isq::spectral_radiance (1 quantity)
• isq::spectral_radiant_exitance (1 quantity)

Dimension: ML⁻¹T⁻¹

• isq::dynamic_viscosity (1 quantity)

Dimension: MΘ⁻¹T⁻³

• isq::coefficient_of_heat_transfer (1 quantity)
• isq::surface_coefficient_of_heat_transfer (1 quantity)

Dimension: LMI⁻²T⁻²

• isq::magnetic_constant (1 quantity)
• isq::permeability (1 quantity)

Dimension: LMI⁻¹T⁻²

• isq::magnetic_vector_potential (1 quantity)

Dimension: LMI⁻¹T⁻³

• isq::electric_field_strength (1 quantity)

Dimension: LMΘ⁻¹T⁻³

• isq::thermal_conductivity (1 quantity)

Dimension: L²Θ⁻¹T⁻²

• isq::specific_entropy (1 quantity)
• isq::specific_gas_constant (1 quantity)
• isq::specific_heat_capacity (4 quantities)

Dimension: L²MI⁻²T⁻²

• isq::inductance (1 quantity)
• isq::mutual_inductance (1 quantity)
• isq::permeance (1 quantity)

Dimension: L²MI⁻²T⁻³

• isq::impedance (6 quantities)

Dimension: L²MI⁻¹T⁻²

• isq::magnetic_flux (3 quantities)
• isq::protoflux (1 quantity)

Dimension: L²MI⁻¹T⁻³

• isq::electric_potential (6 quantities)

Dimension: L²MΘ⁻¹T⁻²

• isq::Massieu_function (1 quantity)
• isq::Planck_function (1 quantity)
• isq::entropy (1 quantity)
• isq::heat_capacity (1 quantity)

Dimension: L²MΘ⁻¹T⁻³

• isq::thermal_conductance (1 quantity)

Dimension: L²Mα⁻¹T⁻²

• isq_angle::moment_of_force (2 quantities)

Dimension: L²Mα⁻¹T⁻¹

• isq_angle::angular_impulse (1 quantity)
• isq_angle::angular_momentum (1 quantity)

Dimension: L³MI⁻²T⁻³

• isq::resistivity (1 quantity)

Dimension: L³MI⁻¹T⁻²

• isq::magnetic_dipole_moment (1 quantity)

Dimension: ΘT³L⁻²M⁻¹

• isq::thermal_resistance (1 quantity)

Dimension: I²T²L⁻²M⁻¹

• isq::reluctance (1 quantity)

Dimension: I²T³L⁻²M⁻¹

• isq::admittance (6 quantities)

Dimension: I²T³L⁻³M⁻¹

• isq::conductivity (1 quantity)

Dimension: I²T⁴L⁻²M⁻¹

• isq::capacitance (1 quantity)

Dimension: I²T⁴L⁻³M⁻¹

• isq::electric_constant (1 quantity)
• isq::permittivity (1 quantity)

Dimension: ML⁻¹Θ⁻¹T⁻²

• isq::pressure_coefficient (1 quantity)

Total hierarchies: 149