Nā nīnau hoʻohālike e kūkākūkā ana i ka radiation Gamma Ray (γ)
Pendahuluan
ʻO nā kukuna Gamma (γ) kahi ʻano o ka radiation electromagnetic me ka ikehu kiʻekiʻe loa. Hoʻopuka ʻia nā kukuna Gamma e ka palaho radioactive o nā nuclei atomic paʻa ʻole. Hiki ke hoʻokumu ʻia nā kukuna Gamma ma o nā hopena nukelea a i ʻole nā kaʻina hana ʻē aʻe ma ke ao holoʻokoʻa, e like me ka hana a ka lā a i ʻole nā hōkū. Ma ke ao o ka ʻepekema a me ka ʻenehana, he mea koʻikoʻi ka hoʻomaopopo ʻana i nā kukuna gamma, ʻoi aku hoʻi ma nā kahua o ka lāʻau lapaʻau nukelea a me ka physics nukelea. E kūkākūkā kēia ʻatikala i nā pilikia hoʻohālike like ʻole e pili ana i ka radiation gamma a kūkākūkā iā lākou me nā kikoʻī.
Nā Waiwai a me nā ʻAno o nā Kukui Gamma
Ma mua o ko mākou komo ʻana i nā nīnau hoʻohālike, e nānā hou kākou i kekahi mau waiwai koʻikoʻi o nā kukuna gamma:
1. Ikehu Kiʻekiʻe: ʻOi aku ka nui o ka ikehu o nā kukuna Gamma ma mua o nā kukuna ultraviolet a me nā kukuna X. ʻAe kēia iā lākou e komo i loko o nā mea mānoanoa a paʻa.
2. ʻAʻohe hoʻopiʻi: ʻAʻole e like me nā ʻāpana alpha a me beta, ʻaʻohe hoʻopiʻi uila o nā kukuna gamma a ʻaʻohe nuipa hoʻomaha. No laila, ʻaʻole pili nā kahua uila a me nā kahua magnetic iā lākou.
3. Ke komo kiʻekiʻe: Hiki i nā kukuna gamma ke komo i loko o ke kino kanaka a me nā mea paʻa ʻē aʻe. No laila, hana pinepine ʻia nā pale kūpono me nā mea paʻa a kaumaha e like me ke kēpau a i ʻole ka sima.
4. Nā hopena olaola: ʻO ka ʻike ʻia ʻana o nā kukuna gamma hiki ke hōʻino i nā ʻiʻo olaola a me ka DNA, hiki ke alakaʻi i nā mutations a me ke kanesa. No laila, pono ka lawelawe pono ʻana a me ka pale ʻana i ka wā e hana ai me nā kumu kukuna gamma.
Ma hope o ka ʻike ʻana i kona mau waiwai, e nānā kākou pehea e hiki ai iā kākou ke hoʻoponopono i nā pilikia e pili ana i nā kukuna gamma.
Laʻana Nīnau 1: Nā Kukui Gamma i ka Palaho Radioactive
Nīnau:
Hoʻopōʻino ka mea radioactive Cobalt-60 (Co-60) i Nickel-60 (Ni-60) ma ka hoʻokuʻu ʻana i nā kukuna gamma. Inā he 5,27 mau makahiki ka hapalua ola o Cobalt-60, ehia mau ʻātoma Cobalt-60 e koe ma hope o 10,54 mau makahiki, inā he 1 mole o Cobalt-60 i ka wā mua?
Kūkākūkā:
Ua hahai ka palaho radioactive i ke kānāwai o ka palaho exponential i hōʻike ʻia e ka hoohalike:
\[ N(t) = N_0 \cdot \left(\frac{1}{2}\right)^{\frac{t}{T_{1/2}}} \]
Ma hea:
– \( N(t) \) = ka helu o nā ʻātoma i koe ma hope o ka manawa \(t \),
– \( N_0 \) = ka helu mua o nā ʻātoma,
– \( T_{1/2} \) = hapalua-ola,
– \( t \) = ka manawa palaho.
Mai ka nīnau, ua ʻike ʻia:
– \( N_0 = 1 \) moles \( = 6,022 \times 10^{23} \) atoms,
– \( T_{1/2} = 5,27 \) mau makahiki,
– \( t = 10,54 \) mau makahiki.
E hoʻololi i kēia mau waiwai i loko o ka hoohalike:
\[ N(10,54) = 6,022 \times 10^{23} \cdot \left(\frac{1}{2}\right)^{\frac{10,54}{5,27}} \]
\[ = 6,022 \times 10^{23} \cdot \left(\frac{1}{2}\right)^2 \]
\[ = 6,022 \times 10^{23} \cdot 0,25 \]
\[ \approx 1,5055 \times 10^{23} \]
No laila, ma hope o 10,54 mau makahiki, aia ma kahi o \(1,5055 \times 10^{23}\) mau ʻātoma Cobalt-60 i koe.
Laʻana Nīnau 2: Ka Hoʻopili ʻana o ke Kukui Gamma
Nīnau:
Inā komo nā kukuna gamma i loko o kahi papa kēpau 1 kenimika ka mānoanoa, e hoʻokaʻawale ʻia ko lākou ikaika i ka hapalua. He aha ka mānoanoa o ka papa kēpau e pono ai e hōʻemi i ka ikaika o ke kukuna gamma i ka hapahā o kona waiwai mua?
Kūkākūkā:
ʻO ke omo ʻana o nā kukuna gamma e kahi mea e hahai ana i ke kānāwai Beer-Lambert, e ʻōlelo ana:
\[ I = I_0 \cdot e^{-\mu x} \]
Ma hea:
– \( I \) = ka ikaika o nā kukuna gamma ma hope o ka komo ʻana o ka mānoanoa \( x \),
– \( I_0 \) = ka ikaika mua,
– \( \mu \) = ke koina hoʻemi linear,
– \( x \) = mānoanoa o ka mea omo.
Mai ka ʻikepili nīnau:
Ma ka mānoanoa \( x = 1 \) kenimika, \( \frac{I}{I_0} = \frac{1}{2} \).
Ke hoʻohana nei i ka hoʻohālikelike Beer-Lambert:
\[ \frac{1}{2} = e^{-\mu \times 1} \]
Ke lawe nei i ka logarithm kūlohelohe o nā ʻaoʻao ʻelua:
\[ \ln\left(\frac{1}{2}\right) = -\mu \]
No laila:
\[ \mu = -\ln\left(\frac{1}{2}\right) \]
\[ \mu = \ln(2) \]
Makemake mākou e ʻike i ka mānoanoa \( x \) i hiki ai ke hoʻemi ʻia ka ikaika i ka hapaha:
\[ \frac{1}{4} = e^{-\mu x} \]
E lawe i ka logarithm kūlohelohe:
\[ \ln\left(\frac{1}{4}\right) = -\mu x \]
E hoʻohana i ke koina attenuation i loaʻa mua (\( \mu = \ln(2) \)):
\[ -\ln\left(\frac{1}{4}\right) = -\ln(2) \times x \]
\[ \ln(4) = \ln(2) \times x \]
ʻOiai ʻo \(\ln(4) = 2\ln(2)\), a laila:
\[ 2\ln(2) = \ln(2) \times x \]
x = 2 kenimika.
No laila, ʻo ka mānoanoa o ka papa kēpau i makemake ʻia he 2 cm.
Pani
Ma o nā hiʻohiʻona ma luna, hiki iā kākou ke ʻike pehea e hoʻopili ʻia ai ke kumumanaʻo o ka radiation gamma ray i nā ʻano like ʻole, mai ka palaho radioactive a hiki i ka omo ʻana e nā mea paʻa. ʻO ka hoʻomaopopo ʻana i kēia mau kumumanaʻo kumu he ʻanuʻu koʻikoʻi ia i ka hoʻopaʻa ʻana i nā kumuhana paʻakikī i ka physics nukelea a me nā noi o ka ʻenehana radiation. No ka poʻe e hana ana i ke olakino, ka palekana hana, a i ʻole ka noiʻi ʻepekema, he mea nui ka hoʻomaopopo piha ʻana i ka radiation gamma ray no ka mālama ʻana i ka palekana a me ka pololei ma ka wahi hana.
