• загрузка...
    5

FORMULA CONVERSION8

загрузка...

Here a = 102cmm_1, (3 = 107erg J~\ e0 = 8.8542 x 10~12Fm_1, fi0 = 4ttX 10~7 Hm_1, c = (e0Mo)~1/2 = 2.9979 X 108 m s_1, and h = 1.0546 X 10 —34 J s. To derive a dimensionally correct SI formula from one expressed in Gaussian units, substitute for each quantity according to Q = kQ, where k is the coefficient in the second column of the table corresponding to Q (overbars

denote variables expressed in Gaussian units). Thus, the formula do = K2/fhe2 for the Bohr radius becomes aao = (h(3)2 /[(m (3/a2) (e2 a (3/4tvco)] , or ao = eoh2/ivme2. To go from SI to natural units in which h = c = 1 (distinguished by a circumflex), use Q = k_1Q, where k is the coefficient corresponding to Q in the third column. Thus ao = AtvcoH2 /[(rhh/c)(e2 eohe)] = Aiz/rhe2. (In transforming from SI units, do not substitute for eo, Mo, or c.)

Physical Quantity

Gaussian Units to SI

Natural Units to SI

Capacitance

Oi/47T6O

eo"1

Charge

(a(3/47re0)1/2

(eo he)-1'2

Charge density

(/3/47m5e0)1/2

(eohc)~1/2

Current

{a(3/47re0)1/2

(Mo/tic)1/2

Current density

(/3/47m3e0)1/2

(vo/hc)1/2

Electric field

(47T/3e0/a3)1/2

(eo/ftc)1/2

Electric potential

(47T/3e0/«)1/2

(eo/Ac)1/2

Electric conductivity

(47re0)"1

eo"1

Energy

(3

(he)-1

Energy density

(3/a3

(he)-1

Force

(3 / a

(he)-1

Frequency

1

c-1

Inductance

47T6o /OL

Mo-1

Length

a

1

Magnetic induction

(47T/3/a3Mo)1/2

(Mo he)-1'2

Magnetic intensity

(47T^0/3/a3)1/2

(Mo/AC)1/2

Mass

(3/a2

c/H

Momentum

(3/a

ft"1

Power

(3

(he2)'1

Pressure

(3/a3

(he)-1

Resistance

47T6o /OL

(eo/no)1/2

Time

1

c

Velocity

a

c-1

Авторы: 1379 А Б В Г Д Е З И Й К Л М Н О П Р С Т У Ф Х Ц Ч Ш Щ Э Ю Я

Книги: 1908 А Б В Г Д Е З И Й К Л М Н О П Р С Т У Ф Х Ц Ч Ш Щ Э Ю Я