Chemistry Notes: Chapter 4: sections 4-2 and 4-3: Properties of Light What happens when white light passes through a prism? The white light is ___________________________________ into its component wavelengths – it contains light of all _______________________________ and thus a __________________________________________________ is produced. Not all radiation sources produce a continuous spectrum. When different _______________________ are placed under low pressure in a tube, and high voltage is applied, the gases emit different ________________________________ of light. When the light from such a tube is passed through a __________________________, the resulting spectrum only contains a few ____________________________________ of light. The colored lines are separated by _______________________________. Each element has its own _______________________________ spectrum A spectrum containing radiation of only specific wavelengths is called a ______________________________________________________ Scientists first detected the line spectrum of hydrogen in the mid-1800’s, but couldn’t explain it. The ______________________________energy state of an atom is called its __________________________________________________________. A state in which an atom has a __________________________________________________ than it has in its ground state is an ___________________________________________. When current is passed through a gas at low pressure, the potential energy of some of the gas atoms _______________________________________. The atoms go from their ____________________________________ to an ___________________________________________________. When an excited atom returns to its ground state, it ___________________________ the excess energy in the form of ______________________________________________. Hydrogen Line Spectrum Scientists first detected the line spectrum of hydrogen in the mid-1800’s, but couldn’t explain it. They predicted that the hydrogen atoms could absorb whatever amount of _______________ was added to them, and thus emit a _______________________________ of light. When an _______________________ hydrogen atom falls back from an excited state to its _______________________________ state (or lower energy state) it emits a _______________________ of radiation Ephoton=_____________________ The ____________________ of the photon is equal to the difference in energy between the atom’s ___________________________________________ What they saw: hydrogen atoms only emit ____________________________________ of light What it means: the ______________________________ between the atoms’ energy state are ___________________ The electron of a hydrogen atom exists only in ______________________________________. In addition to the spectral lines in the ____________________ part of the spectrum, hydrogen also produces spectral lines in the ________________________ and __________________ regions of the EM spectrum. Scientists still needed to come up with a model of the hydrogen atom that explained this… Bohr Model In 1913 _______________________________ proposed a model of the hydrogen atom that linked hydrogen’s electron with photon emission. Bohr Model The electron can circle the __________________________ only in allowed paths, called _____________________________. The electron (and therefore the hydrogen atom) is in its ___________________________ when it is in the orbit ______________________________________to the nucleus. The electron cannot exist in the _____________________________________ between orbits The energy of the electron is ______________________________ when it is in orbits that are farther from the nucleus (__________________________________) Bohr Model & Spectral Lines An electron can move to a ____________________________ by gaining an amount of energy _____________________ to the energy difference between the two orbits. When the electron falls back to the _____________________________, the excess energy is released as a _____________________________________________ Draw an example: From the _________________________________ of the emitted spectral lines, Bohr was able to calculate the allowed _______________________________ for hydrogen Bohr’s success in explaining mathematically the spectral lines of hydrogen did not work when trying to explain the spectra of atoms with more than one electron. Nor did Bohr’s theory fully explain the _______________________________ behavior of atoms. Warm-Up – Day 2 Lithium has an atomic weight of 6.941 g/mol. When 10.4115 g of lithium is heated, it emits an energy measured at 262,500 joules. What is the energy given off by one atom? 4-2 The Quantum Model of the Atom To explain why energy states of an atom are ____________________, scientists had to change the way they viewed the nature of the _____________________________. The ______________________________, and ________________________ showed that light could behave as both a wave and a particle. Louis de Broglie – 1924 Suggested that electrons were ____________________ confined to the space around the __________________________ the waves could only exist at certain _____________________________ that corresponded to specific __________________________—the quantized energies of Bohr’s orbits (where E = _____________). Some more about waves A beam of electrons passed through a crystal shows the pattern to the right Why is there a pattern of light and dark rings? What would you expect to see if you passed light through a tiny slit? The pattern is due to wave _______________________ and ___________________________. Wave Interference Interference is when two waves ____________________________ to form a resultant wave of greater or lesser magnitude. Examples: Wave Diffraction diffraction involves a change in direction of waves as they pass through an opening or around an obstacle in their path. As the waves ______________________ around the obstacle, they experience _____________________ (constructive and destructive) Further Evidence Shows That The Electron Also Acts As __________________________ Electron beam __________________________ experiments showed the bending of an electron wave as it passes by the edge of an object, such as an atom in a crystal. The resulting __________________________________ pattern occurs when waves overlap, resulting in a reduction of energy in some areas and an increase of energy in others. Take Home Message… Diffraction shows that __________________ behaves like a _________________, and _____________________ also behave like a _________________________. Why only certain frequencies? Bohr showed that electron orbits are _________________________ (only exist at certain frequencies). If we think of the electron wave as being like a wave that is confined to a box of a specific distance, the wave can only exist stably if it is showing harmonics. Oh Joy, Another Formula The wavelength of any orbital can be related to size of the orbit. How? The value of n gives the first _____________________________, which indicates the __________________________________ occupied by the electron. The Heisenberg Uncertainty Principle (1927) It is impossible to determine simultaneously both the ______________________ and ___________________________ of an electron or any other particle. Wave-Particle Duality Think of the wave-particle duality of matter as this: A quantum entity, such as a photon or an electron _________________________________, but _________________________________________. The Schrödinger Wave Equation (1926) Together with the uncertainty principle, the wave equation laid the foundation for ___________________________________________________________. Quantum theory describes mathematically the ___________________________ of _________________________ and other very small particles. Solutions to the equations = Wave Functions The wave functions give only the _____________________________ of finding an electron at a given place around the nucleus. Orbitals The electrons do not travel around the nucleus in neat orbits, as Bohr had thought. Instead, the electrons exist in certain regions called _________________________________. An _______________________________ is a three dimensional region around the nucleus that indicates the probable location of an electron. Atomic Orbitals and Quantum Numbers In order to completely describe orbitals, quantum numbers are used. Quantum numbers specify the _________________________ of atomic orbitals and the properties of electrons in orbitals. The first 3 quantum numbers result from solutions to the ____________________________________________________. Principal Quantum Number ______________ Indicates the ______________________________________ occupied by the electron. Values of n are positive integers (1, 2, 3…) As n _______________________, the electron’s energy and average distance from the nucleus _____________________________. Angular Momentum Quantum Number ____________ Indicates the __________________________ of the orbital. For each n the number of orbital shapes possible is equal to n. The values of l that are allowed are zero and all positive integers less than or equal to n-1. Angular Momentum Quantum Number (l) l=0 designates an ______________________________ l=1 designates a ______________________________ l=2 designates a _____________________________ l=3 designates an ______________________________ Magnetic Quantum Number _______________ Indicates the ____________________________ of an orbital around the nucleus. The values allowed are m = -l……0…….+l Spin Quantum Number Only two possible values, ________________ or _________________ Indicates the two fundamental spin states of an electron in an orbital. A single orbital can hold a __________________________________________, which must have opposite spins. The Quantum Model Improves upon Bohr’s model because it _______________________________________________________ in atoms other than hydrogen. The arrangement of electrons in an atom is known as the atom’s ____________________________________________. Electrons in atoms tend to assume arrangements that have the lowest possible energies _________________________________________________________________________ Some background info… To simplify things, we show electrons in orbits around ________________________ (it’s really 3-D orbitals). There can be a maximum of ________________________________ in the outer shell!!! But only __________________ gases (Group _____________) are full (ex. Neon) Rules Governing Electron Configurations The energy levels of the orbitals are determined and electrons are added to the orbitals one by one according to 3 basic rules: 1. ________________________ principle 2____________________________________________________________________ 3____________________________________ rule Aufbau (“Build-up”) Principle An electron occupies the ___________________________________________________ that can receive it. Note: Starting with the third main energy level (n = 3), the energies of the sublevels begin to _________________________________ (see diagram on p. 105). Pauli Exclusion Principle (1926) No _______________________________ in the same atom can have the same set of ____________________________________________________. Thus electron pairs in orbitals must be of _________________________________ spin. Hund’s Rule Orbitals of _____________________ energy are each occupied by _________________________________ before any orbital is occupied by a ______________________ electron, and all electrons in singly occupied orbitals must have _________________________________________________________ The rule above minimizes ________________________________________________________. Four Ways of Representing Electron Configurations 1. ______________________________________________________ 2. _______________________________________________________________________ 3. ______________________________________________________________________ 4. By the quantum numbers associated with each electron (you will NOT be held responsible for this on a test). Terminology that you need to know follows: 1. ________________________________________________________- The electron-containing main energy level with the _______________________________________________________. AKA: The outermost shell/orbit _______________________________ Electrons Electrons that are _________________ in the highest occupied energy level. AKA: Everything that is NOT in the outer shell/orbit Orbital Notation An unoccupied orbital is represented by a ___________________. The lines are labeled with the __________________________ quantum number and ___________________________________. Why 1 line for s-orbitals? Why 3 lines for p orbitals? Why 5 lines for d orbitals? Why 7 lines for f orbitals? Orbital Notation 1. Draw and label the energy levels of the orbitals (see Fig 4-16 p. 105) 2. Make sure your energy levels are spaced appropriately! 3. Add electrons to the orbitals one by one following the 3 rules. Orbital Notation - Example Draw the orbital notation for Boron Draw the orbital notation for Nitrogen Draw the orbital notation for Oxygen Draw the orbital notation for Magnesium Electron Configuration Notation Don’t have to draw the lines and arrows The number of electrons in a sublevel is shown by adding a ________________________ to the sublevel designation Electron Configuration Notation Write the electron configuration notation for Boron Write the electron configuration notation for Nitrogen Write the electron configuration notation for Oxygen Write the electron configuration notation for Magnesium Warning!!!! The electron-configuration notation on your periodic table in the book is NOT in the proper order!!! Do not copy from the table, use the “yellow brick road”!!! Example The electron configuration for an atom is ______________________________________ How many electrons does it have? What is the atomic number? What element is it? In the highest occupied energy level, how many p orbitals are filled? How many unpaired electrons does this atom have? Noble Gas Configuration The outer main energy level is __________________________________, in most cases, by _______________________ electrons (sometimes called “completing the octet”). Which noble gas does not complete the octet? Noble Gas Notation This is a shorthand method to show _______________________________, usually for atoms in the 3rd period and beyond. You show the ______________________________ as the core, and then only denote the __________________________________________ electrons. Examples: Weird Variations Chromium (Cr) expect [Ar]4s23d4, is [Ar]4s13d5 Copper (Cu) expect [Ar]4s23d9, is [Ar]4s13d10 The reason is that mixes of half and/or fully filled orbitals are more stable (in a lower-energy state), than a fully or half filled orbital with a partially filled orbital. Which other elements are going to have this same “weird” variation?