AP CHAPTER SEVEN OUTLINE ELECTRON CONFIGURATION AND THE PERIODIC TABLE Electrons in the outermost “shell” of an atom are the valence electrons; their number and location are the chief factors that determine chemical reactivity. I. Electromagnetic Radiation and Matter All electromagnetic radiation consists of oscillating perpendicular electrical and magnetic fields that travel through space at the same rate (the “speed of light”): 186,000 miles per second, or 2.998 x 108 m/s in a vacuum. The wavelength (λ) is the distance between adjacent crests or troughs in a wave. The frequency (υ) is the number of complete waves that pass a given point in a second. The units of frequency is waver per second. 1 hertz (Hz) = 1 wave per second. Wavelength and frequency are inversely proportional – as the wavelength increases the frequency decreases, and as the wavelength decreases the frequency increases. The amplitude of a wave is its height, and the higher a waves amplitude the more intense is the radiation. The speed of light = wavelength times frequency c = υλ II. III. Planck’s Quantum Theory Planck stated that when an atom in a hot object emits radiation, it does so only in packets having a minimum amount of energy. He called a packet of energy a quantum. The energy of a quantum is equal to its frequency times a constant, h, which is 6.626 x 10-34 J•s. Equantum = hυ The energy per quantum of radiation increases as the wavelength gets shorter. The Photoelectric Effect Certain metals exhibit a photoelectric effect: they emit electrons when illuminated by light of certain wavelengths. For each photosensitive metal there is a threshold wavelength below which no photoelectric effect is observed. Albert Einstein said Planck’s quanta were massless particles of light and called them photons. To remove one electron from a photosensitive metal surface requires a certain minimum quantity of energy, Emin. Since each photon has energy E =h υ, only photons whose E is greater than Emin will be able to knock an electron loose. IV. V. The Dual nature of Light All forms of electromagnetic radiation appear to have either wave or particle characteristics depending upon the experimental circumstances. The Bohr Model of the Hydrogen Atom In 1913 Neils Bohr developed a mathematical model to explain the behavior of excited atoms emitting quantized wavelengths of light. In the Bohr model of the hydrogen atom, the electron could circle the nucleus in orbits of only certain radii, which correspond to specific energies. Bohr referred to these energy levels as orbits and represented the energy difference between any two adjacent orbits as a specified quantity of energy. Each orbit was assigned an integer, n, known as the principal quantum number. The energy of the electron and the size of its orbit increase as the value of n increases. Any atom with its electrons in their lowest energy levels is said to be in its ground state When the electron absorbs a quantized amount of energy and moves to an orbit with n greater than 1, it is in an excited state Any excited state is unstable. When the electron returns to its ground state it emits the energy it had gained in the form of light. ∆ E = Ef – Ei = - 2.179 x 10-18 J ( 1/nf2 – 1/ni2) If nfinal is greater than ninitial energy is absorbed ν = ∆E/h = (2.179 x 10-18 J)/h x (1/ni2 – 1/nf2) VI. Beyond Bohr: The Quantum Mechanical Model of the Atom In 1924 De Broglie proposed the idea that electrons could have wave-like properties λ = h/mv, where h is Plancks constant Heisenberg’s Uncertainty Principle states that it is impossible to simultaneously determine the exact position and the exact momentum of an electron VII. Quantum Numbers, Energy Levels, and Orbitals The region in which an electron can be found within an atom is known as an orbital. In the quantum mechanical model, the principal quantum number, n, is a measure of the most probable distance of the electron from the nucleus. A collection of orbitals with the same principal quantum number, n, is called an electron shell. Schrödinger determined that four quantum numbers are needed to describe the three-dimensional coordinates of an electrons motion in the orbital of any atom 1. First Quantum Number: n: Prinicpal Energy Level This indicates the energy level of the orbital(s) 2. Second Quantum Number: l : subshells (s,p,d,f) This indicates the shape of the orbital: s orbitals are spheres, p orbitals are shapted like dumbbells; d and f orbitals are complex structures. The number of subshell types is equal to n for each energy level. 3. Third Quantum Number: ml : relates to its orientation (along the x, y, or zaxis) 4. Fourth Quantum Number, ms : relates to the “spin” of the electron, clockwise or counterclockwise, +½, -½. Pauli Exclusion Principle: No more than two electrons can be assigned to the same orbital in an atom, and these electrons must have opposite spins. This means that no two electrons in an atom can have the same four quantum numbers. VIII. IX. X. XI. Atom Electron Configuration Electron configuration: the complete description of the orbitals occupied by all the electrons in an atom or an ion Aufbau “building up principle” :For an atom in its ground state, electrons are found in the energy shells, subshells, and orbitals that produce the lowest possible energy for the atom. Hund’s rule states that electrons pair in an orbital only after each orbital in a subshell is occupied by a single electron Valence electrons are electrons in an atoms outermost shell; electrons in the inner shells are called core electrons. Groups 1A and 2A are s-block elements and groups 3A-8A are p-block; transition metals are d-block elements Periodic Trends: Atomic Radii For the main group elements, atomic radii increase going down a group and decrease going across a period Transition metal have similar radii, so they are alike in their properties. Effective Nuclear Charge: the nuclear positive charge experienced by the outer shell electrons in a many electron atom. The effective nuclear charge is less than the actual positive nuclear charge due to the shielding, or screening effect of the core electrons. Periodic Trends: Ionic Radii The radius of a cation is always smaller than that of the atom from which it is derived The radius of an anion is always larger than that of the atom from which it is derived Positive and negative ions of elements in the same group increase in size down the group Periodic Trends: Ionization Energies XII. Ionization energy is the energy required to remove an electron from an atom in its gaseous state. For s- and p-block elements, first ionization energies (the energy required to remove one electron from the neutral atom) generally decrease down a group and increase across a period. Periodic Trends: Electron Affinities Electron affinity is a measure the attraction an atom has for an additional electron. EA is the energy change when an electron is added to a gaseous atom to form a -1 ion.