Constants and calculated parameters

Units

Used formulas, their numbers

Calculation results

μ₀μ_Fe, where μ_Fe = 1 (Т above the Curie point)

H/m

1.26 × 10⁻⁶

Earth’s radius, $R_{\text{Earth}}$

m

6.37 × 10⁶

Inner core radius, R_G

m

1.4 × 10⁶

Total radius, $R_{\Sigma }=R_G+\Delta R_F+\Delta R_E$

m

3.65 × 10⁶

Spherical surface S_G area with radius R_G

m²

$S_G=4\text{π}{R}_G^2$

2.46 × 10¹³

Thermofield Е_T density of the Earth’s core at the temperature difference ΔT = 10˚C and radius R_Σ

V/m

${Е}_T=\beta \Delta T/R_{\Sigma }$ , (3)

where β = 0.0001 V/deg.

2.86 × 10⁻¹⁰

Plank’s constant, ħ

J・s

1.05 × 10⁻³⁴

Electron concentration in a unit volume of metal (Fe),

m⁻³

$n=\rho N_A/A$ 4)

$n={\left(5\frac{m_{е}}{{\hslash }^2}{\left(3{\text{π}}^2\right)}^{-2/3}\right)}^{3/5}{p}^{3/5}$ (5)

1.32 × 10²⁹

3.25 × 10²⁹

Electron charge, е

C

1.6 × 10⁻¹⁹

Electron mass, m_е

kg

9.1 × 10⁻³¹

Core electroconductivity, σ

S/m

5.0 × 10⁵

Fermi momentum, p_F

m・kg/s

$p_F=\hslash {\left(3{\text{π}}^{2}n\right)}^{1/2}$ (10)

1.41 × 10⁻²³

Electron mean free path, l

nm

$l=\frac{\sigma \hslash {\left(3{\text{π}}^2\right)}^{1/3}}{e^2{n}^{2/3}}{10}^9$ (7)

0.85

Current density, j

A/m²

$j=e^{2}n{E}_T\frac{l}{p_F}$ (9)

1.43 × 10⁻⁴

Total amount of current of the inner core G,

Bordered by the S_G surface, I_low

A

$I_{low}=j{S}_G$ (11)

3.52 × 10⁹

Magnetic induction on the Earth’s bottom surface $B_{ТТ}^{low}$ (according to the measurements, В₀ is 3.4 × 10⁻⁵ T on the equator)

T

$B_{ТТ}^{low}=\frac{3{\mu }_0{I}_{low}{R}_{\text{Σ}}}{4\text{π}{R}_{\text{З}}^2}\text{sin}\alpha$ (13)

3.64 × 10⁻⁵

The heat, emitted by the thermocurrents I_low at movement to the lower mantle per year, $Q_{bc}$

J・year

$Q_{bc}=\frac{1}{\sigma }{J}^2{V}_{bc}\Delta t$ (15)

2.25 × 10¹⁴