Electron Configuration and Light as a Wave I. Arrangement of electrons in principle energy levels. A. What keeps an electron from crashing into the nucleus? 1. Plank – proposed that there is a fundamental restriction on the amount of energy that an object emits or absorbs and he called these pieces of energy quantum. 2. Electrons in an atom have their energies restricted to certain energy levels. Quantized property is a property that can have only certain values, that is not all values are allowed. The energy of these levels increases as the distance between the electron and the nucleus increases. 3. These energy levels are called electron shells in this book and in others are called principle energy levels and are designated by whole numbers 1 - 7. Electron shell is the region of space around the nucleus that contains electrons that have approximately the same energy and that spend most of their time approximately the same distance from the nucleus. a) For an electron to go to a higher energy level, it must absorb energy. b) For an electron to go to a lower energy level, it must emit energy. c) The energy emitted is equal to the energy difference of the two levels. 4. The maximum number of electrons in an energy level is 2n2, where n = the principle energy level (i.e. 1 – 7). II. Arrangement of electrons in sub-levels. A. Principle energy levels are divided into sublevels. 1. These sub-levels are labeled s, p, d, and f. 2. The sublevels are broken up into orbitals. An orbital is the region of space surrounding a nucleus in which there is a high probability of finding up to 2 electrons. a. Electrons can be either spin-up or spindown. When an orbital is full it will have one electron spin-up and one electron spin-down. 3. Sublevels have a maximum number of electrons that they can contain. s sublevel = 2 electrons = 1 orbital p sublevel = 6 electrons = 3 orbitals d sublevel = 10 electrons = 5 orbitals f sublevel = 14 electrons = 7 orbitals B. Filling the sublevels. 1. Lowest energy sublevel is filled first. Aufbau principle states that electrons normally occupy electron sub-shells in an atom in order of increasing energy. 1s<2s<2p<3s<3p<4s<3d<4p<5s<4d<5p<6s< 4f<5d<6p<7s<5f<6d. The principle number being smaller does not mean that it fills first. 2. Each sublevel can only hold a limited number of electrons. 3. Hund’s rule states that when electrons are placed in a set of orbitals of equal energy, the order of filling for the orbitals is such that each orbital will be occupied by one electron before any orbital receives a second electron. This minimizes repulsion. 4. Fill each sublevel before proceeding to the next until you run out of electrons. 5. You include valance and core electrons. a. Valance electrons are the outermost electrons. These have the largest principle energy number. These are the electrons that are used for bonding. b. Core electrons are the inner electrons that are generally not used for bonding. III. Quantum numbers all atoms can be characterized by their quantum numbers. A. HOMO highest occupied molecular orbital. When you look at an atom the homo can be used to classify the atom. B. Principle energy level of the homo gives you the value for the n. Example Carbon has 6 electrons. Its electron configuration is 1s22s22p2 so n=2. C. Angular Momentum Quantum Number (l) this has values where l= n-1. For the example with Carbon n=2, so can be equal to l=1 which corresponds to a “p” orbital. Value of l Orbital l=0 s l=1 p l=2 d l=3 f D. Magnetic Quantum number ml ml is equal to a value from –l to +l. Orbital Value of l Value of ml Number of orbits s l=0 0 1 p l=1 -1, 0, 1 3 d l=2 -2,-1,0,1,2 5 f l=3 -3, -2,-1,0,1,2,3 7 6. Pauli exclusion principle electrons can be placed in an orbital either spin up or spin down. This is the fourth quantum number ms. It can be either( + ½ )or (– ½ ). When filling orbitals the ( + ½ ) is added first and then the (– ½ ) is added after all the other orbitals of the same energy have been filled. 7. Example What is the electron configuration of oxygen? 1s22s22p4 What is the quantum number configuration of oxygen? n l ml ms 2 1 -1 –½ IV. Magnetism is the phenomena by which materials exert attractive or repulsive forces on other materials. 1. Paramagnetic atom has an electron arrangement containing one or more unpaired electrons. Attracted to a magnet. 2. When an atom has unpaired electrons the electrons can be lined up when exposed to a magnetic field. 3. Diamagnetic atom has all electrons paired. V. Structure of the atom Protons and neutrons are located in the nucleus A. Electrons are located outside the nucleus. 1. Electrons are outside the nucleus in quantized orbitals. 2. This tells us E = h E = energy H = plank’s constant = 6.6262 x 10-34 Js = frequency (1/sec) 3. Photoelectric Effect – this was discovered when it was observed that certain colors of light would cause electrons to be emitted from metal. In addition certain colors of light were never able to cause the loss of electrons. Einstein showed that certain colors of light have different amounts of energy and that it takes the right amount of energy to release an electron. If the light does not have enough energy the e- is not released. VI. Light Light has a dual nature 1. Light can be thought of as a particle – as something that has energy 2. Light can be thought of as a wave where it travels through space as a wave. B. When thinking of light as a wave we have terms that we need to know. 1. Amplitude – height if the wave from its origin to its peak. 2. Wavelength – the distance between the crest of the wave. 3. Frequency – this tells us how fast the wave oscillates up and down. 4. Speed – tells us how fast the wave moves. a. For light we know that is travels 3.00 x 108 m/s in a vacuum. This is called the speed of light. C. Wavelength Amplitude D. Calculating involving waves. 1. E = h E = energy 2. = c/ = wavelength = frequency c = speed of light 3. The radio station I listen to is 101.1 MHz. What is the wavelength and the energy? a. = c/ = 3.00 x 108m x sec sec 1.011 x 108 = frequency is in units of 1 M = 1 x 106 sec = 2.967m E = h E = (6.6262 x 10-34 J sec) x h = Planck’s constant = frequency (1.011 x 108) sec = 6.699 x 10-26 J E. Frequency vs. Wavelength high short low long There is an inverse relationship between frequency and wavelength
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