L5 - Electronic Config

Electrons and Electron Configuration

Introduction

  • Recap of yesterday's lecture on the location of electrons in an atom.
  • Electrons reside in a cloudy sphere around the nucleus.
  • Chemical reactivity is driven by valence electrons, which are the outermost electrons with higher energy states.
  • Valence electrons can be shared, transferred, or accepted in chemical reactions.
  • Bohr's model proposed concentric rings around the nucleus with specific electron occupancies (2, 8, 18, 36, etc.).
  • Bohr's model is not entirely correct.
  • A better approximation is electron configuration (arrangement of electrons) with occupancies of 2, 8, 8, etc.

Key Topics

  • Electron configuration: Arrangement of electrons around and within an atom, influencing energy and accessibility.
  • Electrons exhibit both particle and wave behaviors.
  • Bohr's model is a stepping stone but not accurate.
  • Bohr's model introduced the concept of energy levels occupying lowest energy level first, with electrons closest to the nucleus and energy levels increasing with distance from the nucleus (N=6 has a higher energy level).
  • Spectra involve electron transitions between energy levels.

Terminology and Concepts

  • Shells and Subshells (Orbitals): Different energy levels where electrons reside.
    • Orbitals are just another term for subshells. It does not mean orbiting.
  • Subshell Labels: S, P, D, (and F, though less time spent on it).
  • Key Information:
    • Electron capacity of each subshell
    • Characteristics of each subshell
    • Filling order of subshells guides valence electron count.

Electron Configuration as a Map

  • Electron configuration is like a map of where electrons are in an atom.
  • Explains phenomena like excited atoms emitting colors when energy is applied and then relaxing back down to ground state, emitting a frequency of energy corresponding to the color.

Amplitude and Wave Functions

  • Briefly reviewed the Borale's equation from the last lecture relating electrons wavelength to momentum.
  • Electrons are quantized, possessing specific energies.
  • Wave-like properties of electrons include frequency, wavelength, and amplitude.
  • Amplitude: The height of a wave from the zero line to its peak, also described as a wave function.
  • Orbitals are wave functions, describing where electrons sit.
  • Wave functions are solutions to Schrodinger's equation.
  • Amplitude represents electric field strength; its square relates to intensity or brightness.
  • Amplitude^2 = Intensity of brightness
  • The square of the electron wavelength gives a description of where electron density exists around the nucleus, giving a probability of the electrons position.

Atomic Orbitals

  • Wave function describes spatial distribution of an electron within an atom.
    • (s) kind is spherical.
    • (p) kind is two lobes where nucleus is in the center.
  • S, P, D, and F orbitals have different shapes, with S being spherical and P resembling two lobes. More complex shapes for D and F orbitals.
  • The S, P, D, and F orbitals dictate how many electrons each can hold.
  • No orbiting occurs in atomic orbitals; the shapes represent probability.

Analogy for Standing Waves for Orbitals

  • Fixed harmonic notes correspond to fixed electron orbitals.
  • Guitar string example: changing finger position (bound distance) creates different standing waves (quantized notes), analogous to electrons having quantized possibilities for energy levels.
  • Electron standing waves:
    • One-dimensional on a guitar string.
  • Electrons are three-dimensional standing waves considering X, Y, and Z coordinates.

Filling Order of Orbitals

  • Electrons fill subshells (S, P, D, F) based on energy levels.
  • Periodic table organization corresponds to these subshells.
  • Lowest energy levels are filled first (1s).
  • Hydrogen and helium occupy the 1s orbital.
  • S orbitals hold two electrons.
  • Lithium and beryllium occupy the 2s orbital.
  • 2s is the (n=2) orbital.
  • After filling 1s, electrons go to 2s and then 2p orbitals.
  • Example: After completing 2s, electrons occupy 2p orbitals (2(p^6)), then 3s (3(s^2)), and 3p (3(p^6)).
  • Larger elements' configurations deviate from expected order due to energy levels. 4s is lower energy than 3d.

Valence Electrons

  • The example used in lecture has two electrons in each of the one s's (1(s^2)), two in each of the two s's (2(s^2)), six in that p's (2(p^6)), two in that three s's (3(s^2)), six in that three p's (3(p^6)), two electrons into 4s's (4(s^2)) and one electron into three d's (3(d^1)).
  • Valence electrons are electrons in the highest energy shell, not subshell.
  • In the example provided, highest energy shell is (n = 4), so there are two valence electrons.
  • Despite electrons occupying the 3d subshell after 4s, 3d electrons are considered core electrons.
  • Energy levels across shells have significant gaps, while subshells within a shell have smaller gaps.

Filling order of subshells

  • 1s, 2s, 2p, 3s, 3p, 4s, 3d
  • Each element then increases with one electron.

Electron Configuration Notation from the Chart

  • The number indicates the energy level or shell.
  • The letter indicates the subshell (s, p, d, f).
  • The superscript number indicates the number of electrons in that subshell

Shorthand Electron Configuration

  • Uses the last noble gas to simplify configuration writing.
  • Example: Sodium's configuration is [Ne] 3s1.
  • Condensed configurations focus on valence electrons.
  • Potassium and calcium use argon [Ar] as the reference point.
  • 4s is filled before 3d.

Excited States

  • Atomic emission spectra result from energy input, causing electrons to jump to higher levels.
  • Ground state: All electrons are in their lowest possible energy states.
  • Excited state: An electron has absorbed energy and moved to a higher energy level.
  • Relaxation/Emission: When an electron falls back to a lower energy level, it emits energy, producing emission spectra.
  • Distinct lines in spectra correspond to possible electron transitions.
  • Electron configurations can represent excited states (e.g., 1s2 2s2 2p6 3p1).