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Atomic Structure and Isotopes: Foundations and Applications

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  • Historical Development of Atomic Theory

    • Ancient Greek philosophers believed all matter was made of four elements (air, earth, fire, water), but Democritus proposed matter is composed of indivisible particles called atoms.

    • Antoine Lavoisier established the law of conservation of mass: mass is neither created nor destroyed in chemical reactions.

    • Joseph Proust demonstrated the law of definite proportions: compounds always contain the same proportion of elements by mass.

    • John Dalton's atomic theory (1808) stated:

      • All matter consists of solid, indivisible atoms.

      • Atoms are indestructible and retain identity in chemical reactions.

      • Atoms of a given element are identical in mass and properties.

      • Atoms of different elements differ in mass and properties.

      • Compounds are combinations of elements in small whole-number ratios.

  • Structure of the Atom

    • Atoms are made of three subatomic particles:

      • Protons (positive charge, mass ≈ 1.67 × 10-27 kg)

      • Neutrons (no charge, mass ≈ 1.67 × 10-27 kg)

      • Electrons (negative charge, mass ≈ 9.11 × 10-31 kg)

    • Most of the atom's mass is in the tiny, dense nucleus (contains protons and neutrons); most of the atom's volume is empty space.

    • Electrons move around the nucleus, balancing the atom's overall charge.

    • Atomic charge is calculated as: Charge=#protons-#electrons

  • Defining Elements and Isotopes

    • Each atom has:

      • Atomic number (Z): number of protons (defines the element).

      • Mass number (A): total number of protons and neutrons (nucleons).

    • Changing the number of protons changes the element.

    • Atoms of the same element with different numbers of neutrons are called isotopes.

    • Most elements have more than one naturally occurring isotope.

  • Applications and Measurement of Isotopes

    • Isotope ratios are used in fields like biology, geology, paleontology, archaeology, and forensics (e.g., dating tooth enamel using 14C levels).

    • Mass spectrometry is used to measure isotope abundances by separating isotopes based on mass and generating a spectrum showing their proportions.

  • Atomic Mass and Isotopic Abundance

    • Most elements exist as mixtures of isotopes; the atomic mass on the periodic table is a weighted average of all naturally occurring isotopes.

    • The average atomic mass is calculated as: Average atomic mass=∑iisotopes(fractional abundance of i×isotopic mass)

    • Example: Silicon has three isotopes with different abundances and masses; the average atomic mass is calculated using their respective values.

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