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

Dimension: A

• isq::traffic_intensity

Dimension: E

• natural::energy

Dimension: I

• isq::electric_current

Dimension: J

• isq::luminous_intensity

Dimension: L

• isq::length

Dimension: M

• isq::mass

Dimension: N

• isq::amount_of_substance

Dimension: T

• isq::duration

Dimension: Θ

• isq::thermodynamic_temperature

Dimension: α

• angular::angle

Dimension: E²

• natural::energy_squared

Dimension: IT

• isq::electric_charge
• isq::electric_flux

Dimension: L²

• isq::area

Dimension: L³

• isq::section_modulus
• isq::volume

Dimension: L⁴

• isq::second_axial_moment_of_area
• isq::second_polar_moment_of_area

Dimension: α²

• angular::solid_angle
• isq_angle::solid_angular_measure

Dimension: E⁻¹

• natural::inverse_energy

Dimension: ILT

• isq::electric_dipole_moment

Dimension: IL²

• isq::magnetic_moment

Dimension: L²M

• isq::moment_of_inertia

Dimension: L⁻¹

• isq::angular_repetency
• isq::attenuation
• isq::curvature
• isq::phase_coefficient
• isq::propagation_coefficient
• isq::repetency

Dimension: T⁻²

• isq::angular_acceleration

Dimension: T⁻¹

• isq::activity
• isq::angular_frequency
• isq::angular_velocity
• isq::call_intensity
• isq::damping_coefficient
• isq::frequency
• isq::modulation_rate
• isq::rotational_frequency
• isq::transfer_rate

Dimension: Θ⁻¹

• isq::cubic_expansion_coefficient
• isq::linear_expansion_coefficient
• isq::relative_pressure_coefficient

Dimension: IL⁻²

• isq::displacement_current_density
• isq::electric_current_density

Dimension: IL⁻¹

• isq::linear_electric_current_density
• isq::magnetization

Dimension: LT⁻²

• isq::acceleration

Dimension: LT⁻¹

• isq::group_speed
• isq::phase_speed
• isq::phase_speed_of_electromagnetic_waves
• isq::speed

Dimension: ML⁻²

• isq::surface_mass_density

Dimension: ML⁻³

• isq::mass_concentration_of_water
• isq::mass_concentration_of_water_vapour
• isq::mass_density

Dimension: ML⁻¹

• isq::linear_mass_density

Dimension: MT⁻²

• isq::radiant_exposure
• isq::spectral_radiant_energy_density_in_terms_of_wavenumber
• isq::surface_tension

Dimension: MT⁻³

• isq::Poynting_vector
• isq::density_of_heat_flow_rate
• isq::irradiance
• isq::radiance
• isq::radiant_exitance

Dimension: MT⁻¹

• isq::mass_change_rate
• isq::mass_flow_rate

Dimension: αL⁻¹

• isq_angle::angular_repetency
• isq_angle::phase_coefficient
• isq_angle::propagation_coefficient

Dimension: αT⁻²

• isq_angle::angular_acceleration

Dimension: αT⁻¹

• isq_angle::angular_frequency
• isq_angle::angular_velocity

Dimension: ITL⁻²

• isq::electric_polarization
• isq::surface_density_of_electric_charge

Dimension: ITL⁻³

• isq::electric_charge_density

Dimension: ITL⁻¹

• isq::linear_density_of_electric_charge

Dimension: LMT⁻²

• isq::force
• isq::spectral_radiant_energy

Dimension: LMT⁻³

• isq::spectral_radiant_flux
• isq::spectral_radiant_intensity

Dimension: LMT⁻¹

• isq::impulse
• isq::momentum

Dimension: L²T⁻²

• isq::absorbed_dose
• isq::dose_equivalent
• isq::specific_Gibbs_energy
• isq::specific_Helmholtz_energy
• isq::specific_energy
• isq::specific_enthalpy
• isq::specific_internal_energy

Dimension: L²T⁻¹

• isq::kinematic_viscosity
• isq::thermal_diffusivity

Dimension: L³M⁻¹

• isq::specific_volume

Dimension: L³T⁻¹

• isq::volume_flow_rate

Dimension: LT²M⁻¹

• isq::compressibility
• isq::isentropic_compressibility
• isq::isothermal_compressibility

Dimension: L²MT⁻²

• isq::active_energy
• isq::energy
• isq::mechanical_work
• isq::moment_of_force
• isq::signal_energy_per_binary_digit

Dimension: L²MT⁻³

• isq::complex_power
• isq::heat_flow_rate
• isq::power
• isq::radiant_intensity
• isq::reactive_power

Dimension: L²MT⁻¹

• isq::action
• isq::angular_impulse
• isq::angular_momentum

Dimension: L²Mα⁻²

• isq_angle::moment_of_inertia

Dimension: ΘT³M⁻¹

• isq::thermal_insulance

Dimension: LΘT²M⁻¹

• isq::Joule_Thomson_coefficient

Dimension: MI⁻¹T⁻²

• isq::magnetic_flux_density
• isq::magnetic_polarization

Dimension: ML⁻²T⁻²

• isq::spectral_radiant_energy_density_in_terms_of_wavelength

Dimension: ML⁻²T⁻¹

• isq::mass_flow

Dimension: ML⁻¹T⁻²

• isq::electromagnetic_energy_density
• isq::modulus_of_compression
• isq::modulus_of_elasticity
• isq::modulus_of_rigidity
• isq::pressure
• isq::radiant_energy_density
• isq::spectral_radiant_exposure

Dimension: ML⁻¹T⁻³

• isq::spectral_irradiance
• isq::spectral_radiance
• isq::spectral_radiant_exitance

Dimension: ML⁻¹T⁻¹

• isq::dynamic_viscosity

Dimension: MΘ⁻¹T⁻³

• isq::coefficient_of_heat_transfer
• isq::surface_coefficient_of_heat_transfer

Dimension: LMI⁻²T⁻²

• isq::magnetic_constant
• isq::permeability

Dimension: LMI⁻¹T⁻²

• isq::magnetic_vector_potential

Dimension: LMI⁻¹T⁻³

• isq::electric_field_strength

Dimension: LMΘ⁻¹T⁻³

• isq::thermal_conductivity

Dimension: L²Θ⁻¹T⁻²

• isq::specific_entropy
• isq::specific_gas_constant
• isq::specific_heat_capacity

Dimension: L²MI⁻²T⁻²

• isq::inductance
• isq::mutual_inductance
• isq::permeance

Dimension: L²MI⁻²T⁻³

• isq::impedance
• isq::resistance

Dimension: L²MI⁻¹T⁻²

• isq::magnetic_flux
• isq::protoflux

Dimension: L²MI⁻¹T⁻³

• isq::electric_potential

Dimension: L²MΘ⁻¹T⁻²

• isq::Massieu_function
• isq::Planck_function
• isq::entropy
• isq::heat_capacity

Dimension: L²MΘ⁻¹T⁻³

• isq::thermal_conductance

Dimension: L²Mα⁻¹T⁻²

• isq_angle::moment_of_force

Dimension: L²Mα⁻¹T⁻¹

• isq_angle::angular_impulse
• isq_angle::angular_momentum

Dimension: L³MI⁻²T⁻³

• isq::resistivity

Dimension: L³MI⁻¹T⁻²

• isq::magnetic_dipole_moment

Dimension: ΘT³L⁻²M⁻¹

• isq::thermal_resistance

Dimension: I²T²L⁻²M⁻¹

• isq::reluctance

Dimension: I²T³L⁻²M⁻¹

• isq::admittance
• isq::conductance

Dimension: I²T³L⁻³M⁻¹

• isq::conductivity

Dimension: I²T⁴L⁻²M⁻¹

• isq::capacitance

Dimension: I²T⁴L⁻³M⁻¹

• isq::electric_constant
• isq::permittivity

Dimension: ML⁻¹Θ⁻¹T⁻²

• isq::pressure_coefficient