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Chemistry I Honors Atomic Theory The Atomic Mass Unit The Size of an Atom • Atoms are small. • The diameter of a typical atom is between 3 to 5 Angstroms across. • To help with that unit: 1 Angstrom is 0.00000001 centimeters That would be one one-hundred millionth of a centimeter. (really small) The Mass of Atoms • This is even more ridiculous… • The mass of a “typical” atom is around 1 x 10-23 grams. • That would be: 0.00000000000000000000001 grams (Just for understanding – a dollar bill has a mass of 1 gram) (really light too) A Better Way to Describe the Mass • Since the actual mass (in grams) of atoms is such an obnoxious number, Chemistry decided to invent a new measurement to describe the mass of individual atoms. • Step 1: The actual mass of a carbon-12 atom was determined. (it gave them that ridiculous 10-23 value) • Step 2: They divided that actual mass by “12” (because it was a carbon-12 isotope). Continuing… • Your math skills tell you that taking a 10-23 number and dividing by 12 will give you an even more ridiculous number. (It does – the result is something like 10-24 ) • So how does this help?? • This is the new part – Chemistry simply (??) defined the result of the division as 1 Atomic Mass Unit (1 amu). • This now gives us the ability to describe the masses of atoms in terms of amu’s instead of grams. Picture it this way… • The entire “pie” represents the carbon-12 atom (note the 12 “slices” – each representing either a proton or an electron). • Each “slice” has a mass of 1 amu. • Since the entire “pie” (the entire atom) has 12 slices (protons and neutrons), the mass of the entire carbon-12 atom is simply 12 amu. What does that do for us? • We can conclude that each proton and each neutron has a mass of 1 amu. (actually, the neutrons are just a bit heavier than the protons – but the difference is not significant. • Since all of the mass of an atom is centered in the nucleus (the electrons are regarded as having a mass that is essentially zero), the mass number of an isotope is the mass of that atom in amu’s.