Mienzaniso yeMibvunzo Inotaura Nezvekuora kweBeta (β)
Kuora kwemwaranzi inzira iyo nucleus yeatomu isina kugadzikana inoburitsa zvidimbu kuti ive nemamiriro akagadzikana. Muchinyorwa chino, tichatarisa pakuora kwebeta (β), rudzi rwekuora kwemwaranzi. Chinangwa chedu chikuru ndechekunzwisisa kuora kwebeta kuburikidza nemienzaniso nemhinduro dzayo. Ngatitangei nekudzidza zvekutanga zvekuora kwebeta tisati tapinda mumienzaniso.
Nheyo dzeBeta Decay
Kuora kwebeta kunosanganisira kushandurwa kwemamwe maatomu emasero nekubudisa zvidimbu zvebeta. Kune mhando mbiri dzekuora kwebeta:
1. Kuora kweBeta-minus (β-): Mukuora uku, neutron iri munucleus inoshanduka kuita proton, electron (inozivikanwa se beta particle), uye electron antineutrino. Equation ye reaction ndeiyi:
\[
n \museve wekurudyi p + e^- + \mba{\nu}_e
\]
Pano, \( n \) inyuturoni, \( p \) ipurotoni, \( e^- \) ierekitironi (beta), uye \( \bar{\nu}_e \) ierekitironi rinodzivirira utachiona.
2. Kuora kweBeta-plus (β+): Izvi zvinoitika kana proton iri munucleus ikashanduka kuita neutron, positron (antielectron), uye electron neutrino. Equation yacho ndeiyi:
\[
p \rightarrow n + e^+ + \nu_e
\]
Apo \( e^+ \) iri positron uye \( \nu_e \) iri electron neutrino.
Muenzaniso 1: Kuora kweBeta-minus
Mubvunzo:
Kabhoni-14 nucleus (\( ^{14}_{6}\text{C} \)) inoora ne beta-minus. Sarudza zvibereko zvekuora uku wonyora nucleus equation.
Kukurukurirana:
Kutanga, tinoona kuti kabhoni-14 (\( ^{14}_{6}\text{C} \)) ine nhamba yeatomu ye6 uye nhamba yehuremu ye14. Mukuora kwebeta-minus, imwe yemanyuturoni ari munucleus inoshanduka kuita proton. Izvi zvinoreva kuti nhamba yeatomu yenucleus inowedzera neyuniti imwe chete, nepo nhamba yehuremu ichiramba yakafanana.
Heino equation yekuora kwe beta-minus ye carbon-14:
\[
^{14}_{6}\text{C} \rightarrow ^{14}_{7}\text{N} + e^- + \bar{\nu}_e
\]
Di mana:
– Chibereko chekuora kwechinhu ichi initrogen-14 (\( ^{14}_{7}\text{N} \)).
– Maerekitironi (\( e^- \)) ndiwo ma beta particles anoburitswa.
– \( \bar{\nu}_e \) ielectron antineutrino inoburitswawo.
Muenzaniso wechipiri: Kuora kweBeta-plus
Mubvunzo:
Nucleus yefluorine-18 (\( ^{18}_{9}\text{F} \)) inoora ne beta-plus. Sarudza zvigadzirwa zvekuora uku wonyora nuclear equation.
Kukurukurirana:
Fluorine-18 (\( ^{18}_{9}\text{F} \)) ine nhamba yeatomu ye9 uye nhamba yehuremu ye18. Mukuora kwe beta-plus, proton iri mu nucleus inoshanduka kuita neutron iyo inoderedza nhamba yeatomu neimwe, asi nhamba yehuremu inoramba yakafanana.
Heino equation yekuora kwe beta-plus ye fluorine-18:
\[
^{18}_{9}\text{F} \rightarrow ^{18}_{8}\text{O} + e^+ + \nu_e
\]
Di mana:
– Chibereko chekuora kwechinhu ichi ioxygen-18 (\( ^{18}_{8}\text{O} \)).
– Positron (\( e^+ \)) chinhu chinobva mu beta chinoburitswa.
– \( \nu_e \) ielectron neutrino inoburitswawo.
Muenzaniso Mubvunzo 3: Simba Rinoora
Mubvunzo:
Verenga simba rinoburitswa panguva yekuora kwe beta-minus kana isotope strontium-90 (\( ^{90}_{38}\text{Sr} \)) ichiora kuenda ku yttrium-90 (\( ^{90}_{39}\text{Y} \)). Huremu hwe strontium-90 i 89,907738 u, uye huremu hwe yttrium-90 i 89,907152 u. Huremu hwe electron i 0,000548 u.
Kukurukurirana:
Simba rinoburitswa panguva yekuora kwe beta-minus rinogona kuverengerwa kubva pamusiyano wehukuru pakati pezvigadzirwa nezvigadziriso, zvozoshandurwa kuita simba uchishandisa equation yaEinstein \( E=mc^2 \).
Kuchinja kwehukuru (\( \Delta m \)) ndiko musiyano uripo pakati pehukuru hwekutanga nehuremu hwekupedzisira, kusanganisira huremu hweerekitironi rinoburitswa:
\[
\Delta m = (\text{mass } ^{90}_{38}\text{Sr}) – (\text{mass } ^{90}_{39}\text{Y} + \text{electron mass})
\]
Kutsiva kukosha:
\[
\Delta m = 89,907738 \, \text{u} – (89,907152 \, \text{u} + 0,000548 \, \text{u})
\]
\[
\Delta m = 0,000038 \, \text{u}
\]
Kushandura shanduko dzehukuru kuita simba (1 u = 931.5 MeV/c²):
\[
E = \Delta m \times 931.5 \, \text{MeV/c}^2
\]
\[
E = 0,000038 \, \text{u} \times 931.5 \, \text{MeV}
\]
\[
E \inenge 0,03537 \, \text{MeV}
\]
Simba rinoburitswa panguva yekuora rinosvika 0,03537 MeV.
Mhedziso
Kuora kweBeta chiitiko chinonakidza chinotibatsira kunzwisisa kushanduka kudiki kunogona kuitika mukati meatomu nuclei. Nekudzidza kuora kwebeta-minus nebeta-plus, tinogona kuona kuti zvinhu zvinoshanduka sei kuita zvimwe zvinhu uye kuverenga simba rinoburitswa panguva yekuita. Kuburikidza nedambudziko iri remuenzaniso, tinowana kunzwisisa kwakadzama kwesimba rinobatanidzwa mukuora kwemwaranzi uye kukosha kwepfungwa huru mufizikisi yenyukireya.
