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Re: Chto takoe Kosmos
5.10.2006 8:44 | A. V. Rykov

Proshu snishoditel'nosti u redakcii "Astronet". Delo v tom, chto na Vashem saite net pravki ili dilitirovaniya soobshenii, net pravki statei. Poetomu prihodit'sya otkryvat' novye soobsheniya, chtoby skorrektirovat' predydushee ili prosto ego udalit'.

Seichas probuyu - kak budet vyglyadet' tekst v TEX, esli kommentarii nastroeny na nego. A udalit' probu, veroyatno, ne smogu. V etom, vidimo, nedostatok saita. Eshe raz zaranee proshu izvinit'!

Naibolee obshie parametry struktury sredy v pervom priblizhenii opredelyayutsya iz uravnenii energii:

<tex>$hv=e_oE\cdot \Delta r=f\cdot \Delta r $</tex> .

(1)

Zdes' <tex>$h$</tex>$ konstanta Planka, <tex>$\nu $</tex> chastota gammakvanta, <tex>$e_o$</tex> elementarnyi zaryad, E napryazhennost' elektricheskogo polya sredy, <tex>$\Delta r$</tex> deformaciya sredy pod vliyaniem energii gammakvanta (<tex>$e_oE$</tex> sila, <tex>$\Delta r$</tex> put': elementarnoe predstavlenie o rabote i energii). Opredelim napryazhennost' elektricheskogo polya, gde neizvestnyi koefficient:

<tex>$E=N\xi \frac{e_o}{r_e^2}$</tex>.

(2)

<tex>$r_e$</tex> rasstoyanie mezhdu zaryadami (+) i (), kotoroe na dannyi moment neizvestno. Pri prohozhdenii volny gamma-kvanta obrazuetsya deformaciya sredy, kotoraya yavlyaetsya chast'yu ukazannogo rasstoyaniya, zavisit ot ciklicheskoi chastoty volny

<tex>$\omega =2\pi \,\nu $</tex>i vremeni <tex>$t_\nu $</tex>prohozhdeniya rasstoyaniya mezhdu zaryadami:

<tex>$\Delta r_e=2\pi \,\nu \,r_et_\nu $</tex>.

(3)

Podstavim napryazhennost' iz (2) i deformaciyu iz (3) v (1):

<tex>$h=2\pi Ne_o^2\xi \frac 1{r_e/t_\nu }$</tex>.

(4)

Mozhno predpolozhit', chto <tex>$r_e/t_\nu =c$</tex> skorost' sveta. Opredelim chislo N:

<tex>$N=\frac{hc}{2\pi e_o^2\xi }=137.035999815$</tex>,

(5)

gde

<tex>$\xi =\frac 1{\varepsilon _o}=8,98755179\cdot 10^9$</tex>

- elektricheskaya konstanta sredy. Neizvestnoe chislo okazalos' obratnoi velichinoi konstanty tonkoi struktury. Uravnenie energii fotona dlya chastoty uslovnoi krasnoi granicy <tex>$hv_{rb}$</tex> i potencial'noi elektricheskoi energii pary elektron pozitron:

<tex>$hv_{rb}=e_oE\cdot \Delta r_{rb}=1,64936940\cdot 10^{-13}$</tex> Dzh.

(7)

Chastota gammakvanta dlya krasnoi granicy rasschityvaetsya po (7) i okazyvaetsya, chto <tex>$v_{rb}=2.489213\cdot 10^{20}$</tex>Gc. Elektricheskaya napryazhennost' sredy mezhdu zaryadami (+) i () est'

<tex>$E=\alpha ^{-1}\xi \frac{e_o}{r_e^2}=1.008552\cdot 10^{23}$</tex>V/m. Iz (7) nahodim razmer strukturnogo elementa sredy, iz (1, 2) predel'nuyu deformaciyu sredy:

<tex>$r_e=\frac c{2\pi \,\alpha ^{-1}\nu _{rb}}=1.3987631\cdot 10^{-15}$</tex> metra

<tex>$\Delta r_{rb}=\frac{h\nu _{rb}r_e^2\alpha }{e_o^2\xi }=1.020726744\cdot 10^{-17}$</tex>metra

(8)



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