Chapter 2 The Structure of the Atom and the Periodic Table 2.1 Composition of the Atom • Atom - the basic structural unit of an element • The smallest unit of an element that retains the chemical properties of that element Electrons, Protons and Neutrons • Atoms consist of three primary particles • electrons • protons • neutrons • Nucleus - small, dense, positively charged region in the center of the atom protons - positively charged particles neutrons - uncharged particles Characteristics of Atomic Particles • Electrons are negatively charged particles located outside of the nucleus of an atom • Protons and electrons have charges that are equal in magnitude but opposite in sign • A neutral atom that has no electrical charge has the same number of protons and electrons • Electrons move very rapidly in a relatively large volume of space while the nucleus is small a dense Symbolic Representation of an Element Charge of particle Mass Number Atomic Number A Z X C Symbol of the atom • Atomic number (Z) - the number of protons in the atom • Mass number (A) - sum of the number of protons and neutrons Atomic Calculations number of protons + number of neutrons = mass number number of neutrons = mass number - number of protons In a neutral atom, the number of protons = number of electrons Very Important: the number of protons does not change! Selected Properties of the Three Basic Subatomic Particles Name Charge Mass(amu) Mass (grams) 5.4 x 10-4 9.1095 x 10-28 Electrons (e) -1 Protons (p) +1 1.00 1.6725 X 10-24 Neutrons (n) 0 1.00 1.6750 x 10-24 Determining the Composition of an Atom Calculate the number of protons, neutrons and electrons in each of the following: 11 5 B 55 26 Fe Isotopes • Isotopes - atoms of the same element having different masses contain same number of protons 4 contain different numbers of neutrons Isotopes of Hydrogen Hydrogen (Hydrogen - 1) Deuterium (Hydrogen - 2) Tritium (Hydrogen - 3) Isotopic Calculations • Isotopes of the same element have identical chemical properties • Some isotopes are radioactive • Find chlorine on the periodic table • What is the atomic number of chlorine? • What is the mass given? • This is not the mass number of an isotope Atomic Mass • Find chlorine (Cl) on the table. What is this number, 35.34? • The atomic mass - the weighted average of the masses of all the isotopes that make up chlorine • Chlorine consists of chlorine-35 and chlorine-37 in a 3:1 ratio • Weighted average is an average corrected by the relative amounts of each isotope present in nature Determining Atomic Mass Calculate the atomic mass of naturally occurring chlorine if 75.77% of chlorine atoms are chlorine-35 and 24.23% of chlorine atoms are chlorine-37 Step 1: convert the percentage to a decimal fraction 0.7577 chlorine-35 0.2423 chlorine-37 Step 2: Multiply the decimal fraction by the mass of that isotope to obtain the isotope contribution to the atomic mass. For chlorine-35: 0.7577 x 35.00 amu = 26.52 amu For chlorine-37 0.2423 x 37.00 amu = 8.965 amu Step 3: sum these partial weights to get the weighted average atomic mass of chlorine: 26.52 amu + 8.965 amu = 35.49 amu It’s just like calculating your grade! • 20% of the quiz average • 60% of the exam average • 20% of the final exam Score = 0.2*quiz ave. + 0.6*exam ave. + 0.2*final Atomic Mass Determination • Nitrogen consists of two naturally occurring isotopes 99.63% nitrogen-14 with a mass of 14.003 amu 0.37% nitrogen-15 with a mass of 15.000 amu • What is the atomic mass of nitrogen? Ions • Ions - electrically charged particles that result from a gain or loss of one or more electrons by the parent atom • Cation - positively charged result from the loss of electrons 23Na 23Na+ + 1e- • Anion - negatively charged results from the gain of electrons 19F + 1 e- 19F- 2.2 Development of Atomic Theory • Dalton’s Atomic Theory - the first experimentally based theory of atomic structure of the atom. Postulates of Dalton’s Atomic Theory 1. All matter consists of tiny particles called atoms 2. An atom cannot be created, divided, destroyed, or converted to any other type of atom 3. Atoms of a particular element have identical properties 4. Atoms of different elements have different properties 5. Atoms of different elements combine in simple whole-number ratios to produce compounds (stable aggregates of atoms) 6. Chemical change involves joining, separating, or rearranging atoms Postulates 1, 4, 5 and 6 are still regarded as true. Evidence for Subatomic Particles: Electrons, Protons and Neutrons • Electrons were the first subatomic particles to be discovered using the cathode ray tube Indicated that the particles were negatively charged. Evidence for Protons and Neutrons • Protons were the next particle to be discovered, by Rutherford Protons have the same size charge but opposite in sign Proton is 1837 times as heavy as electron • Neutrons Postulated to exist in 1920’s but not demonstrated to exist until 1932 by Chadwick. Almost the same mass as the proton (slightly heavier). Thomson’s model of the atom http://nobelprize.org/educational_games/physics /quantised_world/structure-images/fig2b.gif The “plum pudding” model. Evidence for the Nucleus • Earnest Rutherford’s “Gold Foil Experiment” lead to the understanding of the nucleus Most alpha particles pass through the foil without being deflected Some particles were deflected, a few even directly back to the source Rutherford’s Gold Foil Experiment • Most of the atom is empty space • The majority of the mass is located in a small, dense region Rutherford’s model of the atom http://www2.kutl.kyushu-u.ac.jp/seminar/ MicroWorld1_E/Part2_E/P25_E/atom.gif 2.3 Light, Atomic Structure, and the Bohr Atom • Rutherford’s atom – tiny, dense, positively charged nucleus of protons surrounded by electrons • How do we describe the relationship of the electrons to each other and the nucleus? • The problem... our classical understanding of physics didn’t work for the atom! This will take some explaining. Light and Atomic Structure • Spectroscopy - absorption or emission of light by atoms. Used to understand the electronic structure. • To understand the electronic structure, we must first understand light, Electromagnetic Radiation travels in waves from a source speed of 3.0 x 108 m/s Radio • Knew from radio that if we accelerate an electron back and forth in a wire it will radiate a radio wave (electromagnetic radiation). Wavelengths • Light is propagated (moves) as a collection of sine waves • Wavelength is the distance between identical points on successive waves • Each wavelength travels at the same velocity, but has its own characteristic energy Electromagnetic Spectrum high energy short wavelength low energy long wavelength Bohr Theory • Atoms can absorb and emit energy via promotion of electrons to higher energy levels and relaxation to lower levels • Energy that is emitted upon relaxation is observed as a single wavelength of light • Spectral lines are a result of electron transitions between allowed levels in the atoms (in other words, allowed energies are “quantized” in that only certain quantities of energy are allowed. The Bohr Atom Electrons exist in fixed energy levels surrounding the nucleus Promotion of electron occurs as it absorbs energy Energy is released as the electron travels back to lower levels Quantization of energy Excited State Relaxation Electronic Transitions • Amount of energy absorbed in jumping from one energy level to a higher energy level is a precise quantity • Energy of that jump is the energy difference between the orbits involved • Orbit - what Bohr called the fixed energy levels • Ground state - the lowest possible energy state Modern Atomic Theory • Bohr’s model of the atom when applied to atoms with more than one electron failed to explain their line spectra • One major change from Bohr’s model is that electrons do not move in orbits • Atomic orbitals - regions in space with a high probability of finding an electron • Electrons move rapidly within the orbital giving a high electron density The Quantum Mechanical Atom • Bohr’s model of the hydrogen atom didn’t clearly explain the electron structure of other atoms Electrons in very specific locations, principal energy levels Wave properties of electrons conflict with specific location • Schröedinger developed equations that took into account the particle nature and the wave nature of the electrons Schröedinger’s equations • Equations that determine the probability of finding an electron in specific region in space, quantum mechanics o Principal energy levels (n = 1,2,3…). n is also known as the principal quantum number. But there is more to the structure of the arrangement of electrons found around the nucleus of an atom, as we will see. Energy Levels and Sublevels PRINCIPAL ENERGY LEVELS • n = 1, 2, 3, … • The larger the value of n, the higher the energy level and the farther away from the nucleus the electrons are • The number of sublevels in a principal energy level is equal to n in n=1, there is one sublevel in n = 2, there are two sublevels The angular momentum quantum number. • An object, such as an electron, that moves around another object (the nucleus in our case) will have angular momentum. • Given by l=0,1,...n-1 • l=0 is s subshell, l=1 is p subshell, etc. • Subshells increase in energy: s<p<d<f • e.g., electrons in 3d subshell have more energy than electrons in the 3p subshell Sublevels in Each Energy Level Principle energy level (n) Possible subshells 1 1s 2 2s, 2p 3 3s, 3p, 3d 4 4s, 4p, 4d, 4f Orbitals Orbital - a specific region of a sublevel containing a maximum of two electrons • The number of orbitals in a subshell is given by the magnetic quantum number. • m = -l,...,0,...,+l • Orbitals are named by their sublevel and principal energy level 1s, 2s, 3s, 2p, etc. • Each type of orbital has a characteristic shape s is spherically symmetrical p has a shape much like a dumbbell Orbital Shapes • s is spherically symmetrical • Each p has a shape much like a dumbbell, differing in the direction extending into space Subshell Number of orbitals s 1 p 3 d 5 f 7 m = -l, ...0,...+l • An orbital can only hold two electrons!! Once it is filled it cannot accept more. Electron Configuration • Electron Configuration - the arrangement of electrons in atomic orbitals • Aufbau Principle - or building up principle helps determine the electron configuration Electrons fill the lowest-energy orbital that is available first Remember s<p<d<f in energy When the orbital contains two electrons, the electrons are said to be paired and the orbital is full Rules for Writing Electron Configurations • Obtain the total number of electrons in the atom from the atomic number • Electrons in atoms occupy the lowest energy orbitals that are available – 1s first • No more than 2 electrons in any orbital • Maximum number of electrons in any principal energy level is 2(n)2 • Follow the periodic table! Writing Electron Configurations • H o Hydrogen has only 1 electron o It is in the lowest energy level & lowest orbital o Indicate number of electrons with a superscript o 1s1 • Li o Lithium has 3 electrons o First two have configuration of Helium – 1s2 o 3rd is in the orbital of lowest energy in n=2 o 1s2 2s1 Classification of Elements According to the Type of Subshells Being Filled Electron Configuration Examples • Give the complete electron configuration of each element Be N Na Cl Ag Shorthand Electron Configurations • Uses noble gas symbols to represent the inner shell and the outer shell or valance shell is written after • Aluminum- full electron configuration is: 1s22s22p63s23p1 What noble gas configuration is this? •Neon •Configuration is written: [Ne]3s23p1 • Remember: o How many subshells are in each principle energy level? o There are n subshells in the n principle energy level. o How many orbitals are in each subshell? o s has 1, p has 3, d has 5, and f has 7 o How many electrons fit in each orbital? o2 Shorthand Electron Configuration Examples N S Ti Sn 2.4 The Periodic Law and the Periodic Table • Dmitri Mendeleev and Lothar Meyer - two scientists working independently developed the precursor to our modern Periodic Table. • They noticed that as you list elements in order of atomic mass, there is a distinct regular variation of their properties. • Periodic Law - the physical and chemical properties of the elements are periodic functions of their atomic numbers. Classification of the Elements Parts of the Periodic Table • Period – a horizontal row of elements in the periodic table. They contain 2, 8, 8, 18, 18, and 32 elements, • Group – also called families are columns of elements in the periodic table. • Elements in a particular group or family share many similarities, as in a human family. Category Classification of Elements • Metals - elements that tend to lose electrons during chemical change, forming positive ions. • Nonmetals - a substance whose atoms tend to gain electrons during chemical change, forming negative ions. • Metalloids - have properties intermediate between metals and nonmetals. Classification of Elements • Metals: Metals A substance whose atoms tend to lose electrons during chemical change Elements found primarily in the left 2/3 of the periodic table • Properties: High thermal and electrical conductivities High malleability and ductility Metallic luster Solid at room temperature Classification of Elements Nonmetals • Nonmetals: o A substance whose atoms may gain electrons, forming negative ions o Elements found in the right 1/3 of the periodic table • Properties: o Brittle o Powdery solids or gases o Opposite of metal properties 2.5 Electron Arrangement and the Periodic Table • The electron arrangement is the primary factor in understanding how atoms join together to form compounds • Electron configuration - describes the arrangement of electrons in atoms • Valence electrons - outermost electrons The electrons involved in chemical bonding Valence Electrons • The number of valence electrons is the group number for the representative elements • The period number gives the energy level (n) of the valence shell for all elements Valence Electrons and Energy Level • How many valence electrons does Fluorine have? 7 valence electrons • What is the energy level of these electrons? Energy level is n = 2 Determining Electron Arrangement Practice List the total number of electrons, total number of valence electrons, and energy level of the valence electrons for: • Na • Mg • S • Cl • Ar 2.6 The Octet Rule • The noble gases are extremely stable Called inert as they don’t readily bond to other elements • The stability is due to a full complement of valence electrons in the outermost s and p sublevels: 2 electrons in the 1s of Helium the s and p subshells full in the outermost shell of the other noble gases (eight electrons) Octet of Electrons • Elements in families other than the noble gases are more reactive o Strive to achieve a more stable electron configuration o Change the number of electrons in the atom to result in full s and p sublevels • Stable electron configuration is called the “noble gas” configuration The Octet Rule • Octet Rule - elements usually react in such a way as to attain the electron configuration of the noble gas closest to them in the periodic table o Elements on the right side of the table move right to the next noble gas o Elements on the left side move “backwards” to the noble gas of the previous row • Atoms will gain, lose or share electrons in chemical reactions to attain this more stable energy state Ion Formation and the Octet Rule • Metallic elements tend to form positively charged ions called cations • Metals tend to lose all their valence electrons to obtain a configuration of the noble gas Na Na+ + e- Sodium atom 11e-, 1 valence e[Ne]3s1 Sodium ion 10e[Ne] Ion Formation and the Octet Rule • All atoms of a group lose the same number of electrons • Resulting ion has the same number of electrons as the nearest (previous) noble gas atom Al Al3+ + 3e- Aluminum atom 13e-, 3 valence e[Ne]3s23p1 Aluminum ion 10e[Ne] Using the Octet Rule • The octet rule is very helpful in predicting the charges of ions in the representative elements • Transition metals still tend to lose electrons to become cations but predicting the charge is not as easy • Transition metals often form more than one stable ion Iron forming Fe2+ and Fe3+ is a common example Examples Using the Octet Rule • Give the charge of the most probable ion resulting from these elements Ca Sr S P • Which of the following pairs of atoms and ions are isoelectronic? Cl-, Ar Na+, Ne Mg2+, Na+ O2-, F- Calculating Subatomic Particles in Ions • How many protons, neutrons and electrons are in the following ions? 39 19 32 16 24 12 K 2- S 2 Mg 2.7 Trends in the Periodic Table • Many atomic properties correlate with electronic structure and so also with their position in the periodic table atomic size ion size ionization energy electron affinity Atomic Size • The size of an element increases moving down from top to bottom of a group • The valence shell is higher in energy and farther from the nucleus traveling down the group • The size of an element decreases from left to right across a period • The increase in magnitude of positive charge in nucleus pulls the electrons closer to the nucleus Variation in Size of Atoms Cation Size Cations are smaller than their parent atom • More protons than electrons creates an increased nuclear charge • Extra protons pulls the remaining electrons closer to the nucleus • Ions with multiple positive charges are even smaller than the corresponding monopositive ions Which would be smaller, Fe2+ or Fe3+? Fe3+ • When a cation is formed isoelectronic with a noble gas the valence shell is lost decreasing the diameter of the ion relative to the parent atom Anion Size Anions are larger than their parent atom. • Anions have more electrons than protons • Excess negative charge reduces the pull of the nucleus on each individual electron • Ions with multiple negative charges are even larger than the corresponding monopositive ions Relative Size of Select Ions and Their Parent Atoms Ionization Energy • Ionization energy - The energy required to remove an electron from an isolated atom • The magnitude of ionization energy correlates with the strength of the attractive force between the nucleus and the outermost electron • The lower the ionization energy, the easier it is to form a cation ionization energy + Na Na+ + e- Ionization Energy of Select Elements Electron Affinity • Electron Affinity - The energy released when a single electron is added to an isolated atom • Electron affinity gives information about the ease of anion formation Large electron affinity indicates an atom becomes more stable as it forms an anion Br + e- Br- + energy Periodic Trends in Electron Affinity