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7 Appendix: Quantity- / Unit Symbols and Important Constants

Name of Quantity

Symbol

Domain / Value

Unit

Unitsymbol

Electrical charge

q, Q

ℝ

Coulomb

C

Boltzmann constant

kb

1.381 ⋅10⁻²³

Joule/Kelvin

J/K

Universal gas constant

R

8.314

Joule

Kelvin ⋅Mol

J/(K ⋅mol)

Faraday constant

F

9.64 ⋅10⁴

Coulomb

Mol

C/mol

Electrical resistance

R

ℝ

Ohm

Ω

Specific resistance

r

ℝ

Ohm ⋅meter

Ω⋅m

Electrical conductivity

σ

ℝ

Siemens

S

Electrical capacitance

C

ℝ

Farad

F

Electrical current

i, I

ℝ

Ampere

A

Electrical potential

u, U

ℝ

Volt

V

Charge number

z

ℕ

Membrane potential

Urev

ℝ

Volt

V

Time constant

τ

ℝ

second

s

Time

t

ℝ

second

s

Nabla operator

∆

ℝ

1/meter

m⁻¹

Electrical field intensity

vector

E

ℝ

Volt

meter

V/m

Electrical permeability

ϵ

ℝ

Ampere ⋅second

Volt ⋅m

As/Vm

Vacuum electrical per-

meability

ϵ0

8.853 ⋅10⁻¹²

Ampere ⋅second

Volt ⋅m

As/Vm

Magnetic field intensity

vector

H

ℝ

Ampere

meter

A/m

Magnetic permeability

μ

ℝ

Volt ⋅second

Ampere ⋅m

Vs/Am

Vacuum magnetic per-

meability

μ0

4π ⋅10⁻⁷

Volt ⋅second

Ampere ⋅m

Vs/Am

Current density vector

J

ℝ

Ampere

meter²

A/m²

Current density vector of

electrical field

JE

ℝ

Ampere

meter²

A/m²

Current density vector of

ion membrane currents

Ji

ℝ

Ampere

meter²

A/m²

Arbitrary vector field

A

ℝ

undefined

undefined

Arbitrary scalare function

ϕ

ℝ

undefined

undefined

Volume charge density

ρv

ℝ

Ampere

meter³

As/m³

Specific electrical con-

ductivity

κ

ℝ

Siemens

meter

S/m

Angular frequency

ω

ℝ

Hertz

Hz

Distance between current

source and measuring

location

r

ℝ

meter

m