lesson
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For centuries, alchemists tried and failed to turn cheap lead into precious gold. Yet right beneath our feet, rocks are quietly turning one element into another every single second.
To track these natural transformations, physicists write nuclear equations using standard isotope notation.
πCreate a clean visual explainer diagram of isotope notation for Carbon-14. In the center, display large text: '14' (top-left superscript, labeled in blue as 'Mass number A = protons + neutrons = 14') and '6' (bottom-left subscript, labeled in purple as 'Atomic number Z = number of protons = 6') next to the symbol 'C'. Include two callout cards: Top card explains 'Total Nucleons (Mass)', bottom card explains 'Nuclear Charge'. Soft gray background (#f8f9fa), rounded cards with clear borders (#e6e6e6).
So how do we predict what a nucleus becomes after it decays?
The Golden Rules of Nuclear Balancing
In 1902, Ernest Rutherford and Frederick Soddy discovered that radioactivity causes atoms of one element to spontaneously disintegrate into another, obeying two unbreakable conservation laws.
The total mass number (top numbers) must be equal on both sides of the arrow, and the total atomic number (bottom numbers) must also be equal on both sides.
πCreate a diagram illustrating the two conservation balance rules across a nuclear equation: Left side shows 'Parent Nucleus', an arrow pointing to 'Daughter Nucleus + Emitted Radiation'. Above the equation, a blue bracket spans left and right showing 'Top Equation: Mass Conservation (Total A_left = Total A_right)'. Below the equation, a purple bracket spans left and right showing 'Bottom Equation: Charge Conservation (Total Z_left = Total Z_right)'. Minimal, modern typography, card layout on #f8f9fa.
Let's see what happens when a heavy nucleus ejects a chunky piece of itself.
Alpha (Ξ±) Decay
An alpha particle is identical to a helium-4 nucleus, consisting of 2 protons and 2 neutrons, written as 24βHe or 24βΞ±.
Because an alpha particle carries away 4 units of mass and 2 units of positive charge, the daughter nucleus always loses 4 from its mass number and 2 from its atomic number.
πCreate an interactive step-by-step visual of Uranium-238 alpha decay: '238_92 U -> 234_90 Th + 4_2 He'. Show the top math: 238 = 234 + 4 (highlighted with green checkmark). Show the bottom math: 92 = 90 + 2 (highlighted with green checkmark). Below, show a small visual model: a large nucleus ejecting a cluster of 2 red protons and 2 gray neutrons.