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===General Formulae===
Alpha Decay: <math>{}_Z^AX \rightarrow {}_{Z-2}^{A-4}Y + {}_2^4\alpha</math>
<math>{}_Z^AX \rightarrow {}_{Z+1}^{A}Y + {}_{-1}^0\beta</math> Gamma Emission <math>{}_Z^AX \rightarrow {}_Z^AX + {}_0^0\gamma</math> Neutron Decay: <math>{}_Z^AX \rightarrow {}_{Z}^{A-1}Y + {}_0^1n</math>
===Examples===
Alpha Decay
<math>{}_{92}^{238}U \rightarrow {}_{90}^{234}Th + {}_2^4\alpha</math>
Beta Decay
<math>{}_{28}^{65}Ni \rightarrow {}_{29}^{65}Cu + {}_{-1}^0\beta</math>
Gamma Decay
<math>{}_{42}^{99}Mo \rightarrow {}_{42}^{99}Mo + {}_0^0\gamma</math>
Neutron Decay
<math>{}_{8}^{18}O \rightarrow {}_{8}^{17}O + {}_0^1n</math>
Induced Nuclear Fission
<math>{}_{92}^{235}U + {}_{0}^{1}n \rightarrow {}_{92}^{236}U \rightarrow {}_{36}^{85}Kr + {}_{56}^{148}Ba + 3{}_{0}^{1}n</math>
Nuclear Fusion
<math>{}_1^2H + {}_1^3H \rightarrow {}_2^4He + {}_0^1n</math>
===Calculating the Element/Isotope===
{| classborder="wikitable1"style="border-collapse:collapse"|+Alpha Decay
|-
| style="height:20px; width:300px; text-align:center;" |'''Find the [[element]] 'X' and calculate its [[Relative Atomic Mass|relative atomic mass]] 'A' and its [[Relative Atomic Charge|relative atomic charge]] 'Z'.'''
|}
{| classborder="1" style="wikitableborder-collapse:collapse"|+ Beta Decay
|-
| style="height:20px; width:300px; text-align:center;" |'''Find the [[element]] 'X' and calculate its [[Relative Atomic Mass|relative atomic mass]] 'A' and its [[Relative Atomic Charge|relative atomic charge]] 'Z'.'''
| style="height:20px; width:300px; text-align:center;" |'''Find the [[element]] 'X' and calculate its [[Relative Atomic Mass|relative atomic mass]] 'A' and its [[Relative Atomic Charge|relative atomic charge]] 'Z'.'''
|-
| style="height:20px; width:300px; text-align:left;" |'''1. Calculate the [[Relative Atomic Mass|relative atomic mass]] by looking at the top row of numbers.'''
13 = A + 0
A = 13
| style="height:20px; width:300px; text-align:left;" |'''1. Calculate the [[Relative Atomic Mass|relative atomic mass]] by looking at the top row of numbers.'''
A = 111 + 0
A = 111
|-
| style="height:20px; width:300px; text-align:left;" |'''2. Calculate the [[Relative Atomic Charge|relative atomic charge]] by looking at the bottom row of numbers.'''
7 = Z - 1
Z = 8
| style="height:20px; width:300px; text-align:left;" |'''2. Calculate the [[Relative Atomic Charge|relative atomic charge]] by looking at the bottom row of numbers.'''
Z = 48 - 1
Z = 47
|-
| style="height:20px; width:300px; text-align:left;" |'''3. Since the [[Relative Atomic Charge|relative atomic charge]] is the same as the [[Atomic Number|atomic number]] look up the [[element]] on the [[Periodic Table|periodic table]].'''
<math>{}_{8}^{13}O</math>
| style="height:20px; width:300px; text-align:left;" |'''3. Since the [[Relative Atomic Charge|relative atomic charge]] is the same as the [[Atomic Number|atomic number]] look up the [[element]] on the [[Periodic Table|periodic table]].'''
<math>{}_{47}^{111}Ag</math>
|}
{| classborder="1" style="wikitableborder-collapse:collapse"|+ Gamma Emission
|-
| style="height:20px; width:300px; text-align:center;" |'''Find the [[element]] 'X' and calculate its [[Relative Atomic Mass|relative atomic mass]] 'A' and its [[Relative Atomic Charge|relative atomic charge]] 'Z'.'''
| style="height:20px; width:300px; text-align:center;" |'''Find the [[element]] 'X' and calculate its [[Relative Atomic Mass|relative atomic mass]] 'A' and its [[Relative Atomic Charge|relative atomic charge]] 'Z'.'''
|-
| style="height:20px; width:300px; text-align:left;" |'''1. Calculate the [[Relative Atomic Mass|relative atomic mass]] by looking at the top row of numbers.'''
231 = A + 0
A = 231
| style="height:20px; width:300px; text-align:left;" |'''1. Calculate the [[Relative Atomic Mass|relative atomic mass]] by looking at the top row of numbers.'''
A = 192 + 0
A = 192
|-
| style="height:20px; width:300px; text-align:left;" |'''2. Calculate the [[Relative Atomic Charge|relative atomic charge]] by looking at the bottom row of numbers.'''
90 = Z + 0
Z = 90
| style="height:20px; width:300px; text-align:left;" |'''2. Calculate the [[Relative Atomic Charge|relative atomic charge]] by looking at the bottom row of numbers.'''
Z = 77 + 0
Z = 77
|-
| style="height:20px; width:300px; text-align:left;" |'''3. Since the [[Relative Atomic Charge|relative atomic charge]] is It's the same as the [[Atomic Number|atomic number]] look up the [[element]] on the [[Periodic Table|periodic table]].'''
<math>{}_{90}^{231}Th</math>| style="height:20px; width:300px; text-align:left;" |'''3. Since the [[Relative Atomic Charge|relative atomic charge]] is It's the same as the [[Atomic Number|atomic number]] look up the [[element]] on the [[Periodic Table|periodic table]].'''
<math>{}_{77}^{192}Ir</math>
|}
{| border="1" style="border-collapse:collapse"
|+ Neutron Decay
|-
| style="height:20px; width:300px; text-align:center;" |'''Find the [[element]] 'X' and calculate its [[Relative Atomic Mass|relative atomic mass]] 'A' and its [[Relative Atomic Charge|relative atomic charge]] 'Z'.'''
<math>{}_{3}^{8}Li \rightarrow {}_{Z}^{A}X + {}_0^1n</math>| style="height:20px; width:300px; text-align:center;" |'''Find the [[element]] 'X' and calculate its [[Relative Atomic Mass|relative atomic mass]] 'A' and its [[Relative Atomic Charge|relative atomic charge]] 'Z'.''' <math>{}_{Z}^{A}X \rightarrow {}_{10}^{26}Ne + {}_0^1n</math>|-| style="height:20px; width:300px; text-align:left;" |'''1. Calculate the [[Relative Atomic Mass|relative atomic mass]] by looking at the top row of numbers.''' 8 = A + 1 A = 7| classstyle="wikitableheight:20px; width:300px; text-align:left;"|'''1. Calculate the [[Relative Atomic Mass|relative atomic mass]] by looking at the top row of numbers.''' A = 26 + 1 A = 27|-| style="height:20px; width:300px; text-align:left;" |'''2. Calculate the [[Relative Atomic Charge|relative atomic charge]] by looking at the bottom row of numbers.''' 3 = Z + 0 Z = 3| style="height:20px; width:300px; text-align:left;" |'''2. Calculate the [[Relative Atomic Charge|relative atomic charge]] by looking at the bottom row of numbers.''' Z = 10 + 0 Z = 10
|-
| style="height:20px; width:300px; text-align:left;" |'''3. It's the same [[element]] but a different isotope.'''
<math>{}_{3}^{7}Li</math>
| style="height:20px; width:300px; text-align:left;" |'''3. It's the same [[element]] but a different isotope.'''
<math>{}_{10}^{27}Ne</math>
|}
===Calculating Fission Products===
{| border="1" style="border-collapse:collapse"
| style="height:20px; width:300px; text-align:center;" |'''Find the [[element]] 'X' and calculate its [[Relative Atomic Mass|relative atomic mass]] 'A' and its [[Relative Atomic Charge|relative atomic charge]] 'Z'.'''
| style="height:20px; width:300px; text-align:center;" |'''Find the [[element]] 'X' and calculate its [[Relative Atomic Mass|relative atomic mass]] 'A' and its [[Relative Atomic Charge|relative atomic charge]] 'Z'.'''
|-
| style="height:20px; width:300px; text-align:left;" |'''1. Calculate the [[Relative Atomic Mass|relative atomic mass]] by looking at the top row of numbers.'''
236 = 131 + A + 3
A = 236 - 134
A = 102
| style="height:20px; width:300px; text-align:left;" |'''1. Calculate the [[Relative Atomic Mass|relative atomic mass]] by looking at the top row of numbers.'''
236 = 90 + A + 2
A = 236 - 92
A = 144
|-
| style="height:20px; width:300px; text-align:left;" |'''2. Calculate the [[Relative Atomic Charge|relative atomic charge]] by looking at the bottom row of numbers.'''
92 = 53 + Z + 0
Z = 39
| style="height:20px; width:300px; text-align:left;" |'''2. Calculate the [[Relative Atomic Charge|relative atomic charge]] by looking at the bottom row of numbers.'''
92 = 38 + Z + 0
Z = 54
|-
| style="height:20px; width:300px; text-align:left;" |'''3. Since the [[Relative Atomic Charge|relative atomic charge]] is the same as the [[Atomic Number|atomic number]] look up the [[element]] on the [[Periodic Table|periodic table]].'''
<math>{}_{39}^{102}Y</math>
| style="height:20px; width:300px; text-align:left;" |'''3. Since the [[Relative Atomic Charge|relative atomic charge]] is the same as the [[Atomic Number|atomic number]] look up the [[element]] on the [[Periodic Table|periodic table]].'''
<math>{}_{54}^{144}Xe</math>
|}
===References===
====AQA====
:[https://www.amazon.co.uk/gp/product/1471851370/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1471851370&linkCode=as2&tag=nrjc-21&linkId=01c69b0ae058f809cf636033e6ba793e ''Nuclear equations, page 108, GCSE Physics, Hodder, AQA '']
:[https://www.amazon.co.uk/gp/product/178294558X/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=178294558X&linkCode=as2&tag=nrjc-21&linkId=f0dfb66dafcb0c6e9449e7b1a4ae1ac336 ''Nuclear equations, page 45, GCSE Physics; The Revision Guide, CGP, AQA '']
:[https://www.amazon.co.uk/gp/product/1782946403/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1782946403&linkCode=as2&tag=nrjc-21&linkId=32a0abb60dff015b15b50e9b1d7b4644 ''Nuclear equations, pages 115, 116, GCSE Combined Science Trilogy; Physics, CGP, AQA '']
:[https://www.amazon.co.uk/gp/product/1782945970/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1782945970&linkCode=as2&tag=nrjc-21&linkId=a120d24dcc7cc7a58192069a3aafc1d2 ''Nuclear equations, pages 127, 128, GCSE Physics; The Complete 9-1 Course for AQA, CGP, AQA '']
:[https://www.amazon.co.uk/gp/product/1782945598/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1782945598&linkCode=as2&tag=nrjc-21&linkId=ad276ad49df77ab4b40ab4fd0fe10113 ''Nuclear equations, pages 99, 199, GCSE Combined Science; The Revision Guide, CGP, AQA '']
====Edexcel====
:[https://www.amazon.co.uk/gp/product/1292120223/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1292120223&linkCode=as2&tag=nrjc-21&linkId=068ecf40278c32406a7f1c6e66751417 ''Nuclear equations, page 101, GCSE Physics, Pearson Edexcel '']
:[https://www.amazon.co.uk/gp/product/1782945741/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1782945741&linkCode=as2&tag=nrjc-21&linkId=30da4f2178da182547b62a7329d13b57 ''Nuclear equations, page 175, GCSE Combined Science; The Revision Guide, CGP, Edexcel '']
:[https://www.amazon.co.uk/gp/product/1292120193/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1292120193&linkCode=as2&tag=nrjc-21&linkId=572df39392fb4200db8391d98ae6314e ''Nuclear equations, page 365, GCSE Combined Science, Pearson Edexcel '']
:[https://www.amazon.co.uk/gp/product/1782945733/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1782945733&linkCode=as2&tag=nrjc-21&linkId=2a2dbec9db6bf5766c0458d908fa0a52 ''Nuclear equations, page 52, GCSE Physics; The Revision Guide, CGP, Edexcel '']
====OCR====
:[https://www.amazon.co.uk/gp/product/1782945695/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1782945695&linkCode=as2&tag=nrjc-21&linkId=ceafcc80bcad6b6754ee97a0c7ceea53 ''Nuclear equations, page 198, Gateway GCSE Combined Science; The Revision Guide, CGP, OCR '']
:[https://www.amazon.co.uk/gp/product/0198359837/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=0198359837&linkCode=as2&tag=nrjc-21&linkId=3c4229e8b023b2b60768e7ea2307cc6f ''Nuclear equations, pages 174-175, Gateway GCSE Physics, Oxford, OCR '']