ATOMIC STRUCTURE Atom is the particle that could not be divided any further and extremely small, invisible, and indivisible. Carbon and oxygen can react to form carbon monoxide, In the reaction, one carbon atom (C) can also combine with two atoms of an oxygen molecule (O2) to form a molecule of carbon dioxide CO2. 1 atom of C + 1 molecule of O2 1 molecule of CO2 Rutherford described the atom as having a central positive nucleus. The entire mass of the atom is concentrated in its nucleus and the rest of the atom was mostly empty space. The observation that, the mass of an electron is negligible compared to the mass of a proton or a neutron, indicated that the protons and the neutrons are located in the nucleus, while the electrons are found in the outer regions of the atom. The positive charge of the nucleus is determined by the number of the protons it contains. As protons and electrons have equal but opposite charges, it follows that in an electrically neutral atom the number of protons must be the same as the number of electrons. Rutherford proposed that the electrons (located in the outer regions of the atom) orbit the nucleus in the same manner that the Earth and other planets orbit the sun. Because of this analogy with our planetary system, Rutherford's model is often referred to as the solar-system model of the atom. The model makes no assumptions about the distance of the electrons from the nucleus. Bohr assumes that the electrons orbit around the nucleus on the surfaces of imaginary spherical shells (levels). These electron shells are concentric about the nucleus in the same way as the successive layers of an onion are packed together. Bohr model of the atom is also known as the electron shell model, Internal Structure of the Atom Atom is made up of three major subatomic particles ; protons, neutrons, and electrons. Proton The proton is an elementary particle with a mass of 1.67 × 10-24 g and has the smallest unit of positive charge. According to the fundamental laws of electricity, protons will repel each other, attract particles with negative charges, and do not interact with particles that carry no charge. Electron The electron has the lowest mass, only 1/1836 that of a proton and has a negative charge which is equal in magnitude to that of the proton. Thus, electrons repel each other, attract protons, and do not interact with electrically neutral particles. Neutron The neutron is a subatomic particle with a mass almost equal to that of the proton but with no electrical charge. Because of its electrically neutral nature, this particle will neither attract nor repel positively charged protons, negatively charged electrons, or other neutrons. Characteristics of electrons and nucleons: Particle Charge Mass (amu)* Mass (kg) Relative mass Electron -1 0.000549 0.9108 x 10 -30 1 Proton +1 1.00728 1.6721 x 10 -27 1 0 1.00867 1.6744 x 10 -27 1/1836 Neutron * amu = 1 atomic mass unit = 1.66 x 10 -27 kg = 1 / 12 of the mass of 12C. Electron Shells The seven electron shells are labeled with integers n = 1, 2, 3, 4, 5, 6 and 7 starting from the shell closest to the nucleus. Another convention for labeling the electron shell in by means capital letters; K (n = 1), L (n = 2), M (n = 3), N (n = 4) and so forth. An electron in a shell with a relatively low value of n is at a shorter distance from the nucleus than an electron in a shell with a higher value of n. Since the principle quantum number (n) is a measure of the distance of an electron from the nucleus, it is also a measure of the energy possessed by that electron. Electrons in shells with low value n have a lower energy than electrons in shells with higher value of n. Bohr deduced that electrons inside an atom possess different energies where electrons in the first orbit belong to the orbit belong to the first energy level, second energy level…..etc….. electrons in the second Each energy level of an atom could only accommodate a certain number of electrons. The maximum number of electrons that can populate a certain energy level is given by the following formula. Maximum number of electrons in an energy level = 2 n2 where: n is the specific energy level ( n= 1, 2, 3, 4, ……………… 7 ) n = 4 (N) n = 3 (M) n = 2 (L) n = 1 (K) 2e8e18e32e- The electron shell model showing the maxium number of electrons (e-) that can be accommodated in each shell Atomic Number and Nucleon Number: The nucleus of an atom always contains a whole number of protons, exactly equal the number of electrons in the neutral atom. Atomic number is known as the number of protons in the nucleus of an atom. Atomic number = Number of protons = Number of electrons Nucleon (Mass) number is known as the sum of the numbers of protons and neutrons. Nucleon number = Number of protons + Number of neutrons Number of neutrons = Nucleon number – Atomic number Protons and neutrons, collectively called nucleons. The number of protons is called the atomic number of the element and denoted by Z. The number of neutrons is denoted by N, and the sum of the protons and neutrons, Z + N, is called the mass number, denoted by A. The symbolic representation of an element, X is given by A ZXN . For example, sodium has 11 protons and 12 neutrons with a total of 23 nucleons. Thus, it is represented as 23 11Na12 It is observed that atomic nuclei containing an odd number of protons or neutrons are normally less stable than those with an even number of protons or neutrons. Thus, nuclei with even numbers of protons and neutrons are more stable, whereas those with odd numbers of protons and neutrons are less stable. There are about 270 stable atoms of normally occurring elements. The stability of these elements is dictated by the configuration of protons and neutrons. The ratio of the number of neutrons to the number of protons (N/Z) is an approximate indicator of the stability of a nucleus. The N/Z ratio is 1 in low-Z elements such as 12C 6 , 14N 7 , and 16O 8 , but it increases with increasing atomic number of elements. For example, it is 1.40 for 1.54 for 208Pb 82 127I 53 and . Nuclear binding energy: According to the classical electrostatic theory, the nucleus of an atom cannot exist as a single entity, because of the electrostatic repulsive force among the protons in the nucleus. The stability of the nucleus is explained by the existence of a strong binding force called the nuclear force, which overcomes the repulsive force of the protons. The mass of a nucleus is always less than the combined masses of the nucleons in the nucleus. The difference in mass is termed the mass defect, which has been used as binding energy for all nucleons in the nucleus. The average binding energy of a nucleon is equal to the total binding energy (calculated from the mass defect) divided by the number of nucleons. It is of the order of 6 – 9 MeV. Note that whereas the binding energy of the nucleons is in the megaelectron volt (MeV) range, the electron binding energy in the atomic orbital is of the order of kiloelectron volts (keV), a factor of 1000 lower. Nuclear nomenclature: Nuclide: It is an atomic species with a definite number of protons and neutrons arranged in a definite order in the nucleus. Radionuclides: They are those nuclides that are unstable and thus decay by emission of particles or electromagnetic radiations or by spontaneous fission. Isotopes: They are the nuclides having the same atomic number Z but different mass number. Isotopes exhibit the same chemical properties. Examples of carbon isotopes are 11 6C, 12 6C, and 13 6C. The most common isotope of the element oxygen has 8 protons and 8 neutrons in the nucleus of one of its atoms. The atomic number of this isotope of oxygen is, therefore 8 and the nucleon number is 16. The great majority (99.759%) of oxygen atoms in the nature occur as this isotope. Hydrogen has three isotopes. The common isotope has a nucleus that contains one proton only. The second one exist in every 5000 hydrogen atoms has a nucleus that contains one proton and one neutron. This latter isotope has twice the mass of an ordinary hydrogen atom and is called heavy hydrogen or deuterium (D). An even smaller number of hydrogen atoms, 1 in 1017, has a nucleus with one proton and two neutrons. This isotope is called super heavy hydrogen or tritium (T). 2 1 Hydrogen has three isotopes: H , 1 3 H 1 and 2 1 H , 1 1 3 D 1 and 1 H T Isotones: They are the nuclides having the same number of neutrons N but different numbers of protons. Examples of isotones are: 132 53I, 134 55Cs, 133 54Xe, and each having 79 neutrons. Isobars: They are the nuclides with the same number of nucleons: that is, the same mass number A, but a different combination of protons and neutrons. For example: 82Y, 82Sr, 82Rb, and 82Kr are all isobars having the mass number 82. Isomers: They are the nuclides with the same number of protons and neutrons, but having different energy states and spins. 99Tc and 99mTc are isomers of the same nuclide. Individual nuclides can exist in different energy states above the ground state due to excitation. These excited states are called the isomeric states, which can have a lifetime varying from picoseconds to years. When the isomeric states are long-lived, they are reffered to as metastable states. These states are donated by m as in 99mTc. Electron Configuration of the Elements The arrangement of electrons in an atom is called the electron configuration. When electron fill the energy levels, it fills the lowest energy level first. Example: For a hydrogen atom, H, has an atomic number 1, the one electron goes into the first energy level, the K shell (n = 1). Example: For a lithium atom, Li, has an atomic number 3, two of the three electrons go into the first energy level (K shell) while the third electron goes into the second energy level (L shell). This electron in the outer energy level is called the valence electron. The two electrons in the first energy level are called the core electrons. Problem: Give the electron configuration for silicon (atomic number 14). Silicon, Si, atomic number 14 and hence 14 electrons. The first shell (K shell) can accommodate 2 electrons, and the second shell (L shell) can hold 8 electrons. That leaves 4 electrons to be accommodated in the third shell (M shell). n = 3 (M) n = 1 (K) n = 2 (L) n = 1 (K) n = 1 (K) 14+ 3+ 1+ Hydrogen, n = 2 (L) 1H Lithium, 3Li Silicon, 14Si According to Bohr model of the atom The Quantum Mechanical Model of the atom presents a more accurate model of the atom. We will take a look at this model and summarize the results based on these mathematical calculations without carrying them out ourselves. The Quantum Mechanical Model assumes that each shell is subdivided into several number of sublevels (s, p, d and f ). There is only one s-type orbital - There are three p-type orbitals, There are five d-type orbitals - There are seven f-type orbitals The first shell (K) contains only one orbital s, The second shell (L) subdivided into two sublevels (s and p orbitals), The third shell (M) subdivided into three sublevels (s, p and d orbitals), while The fourth shell (N) and the other shells (n = 5, 6 and 7) subdivided into four sublevels (s, p, d and f orbitals) Each orbital can contain a maximum of two electrons. Wolfgang Pauli states that if two electrons occupy the same orbital they must have opposite spin. This is known as the Pauli exclusion principle. Summary: The distribution of electrons in each energy level Energy Level, n Type of Atomic Orbital Number of Atomic Orbitals Maximum Number of Electrons per Sublevel 1 1s 1 2 2 2s 1 2 2p 3 6 3s 1 2 3p 3 6 3d 5 10 4s 1 2 4p 3 6 4d 5 10 4f 7 14 3 4, 5, 6, 7 Maximum Total Number of Electrons 2 8 18 32 Numbers on the last column is equivalent to the prediction using the formula 2 n2 There is a way to represent precisely the electron arrangement in atoms. Let's take a look at the simplest atom, hydrogen. A hydrogen atom has 1 electron. That electron will occupy the lowest principal energy level, n = 1, and the only sublevel, s. We denote the electron configuration of hydrogen as 1s1. Helium has 2 electrons; the 2 electrons both occupy the s sublevel in principal energy level 1. o Helium's electron configuration is 1s2 Lithium has 3 electrons; 2 of the 3 electrons occupy the s sublevel in principal energy level 1. The 3rd electron must go in the next available sublevel, 2s. o Lithium's electron configuration is 1s2 2s1 Beryllium has 4 electrons; 2 of the 3 electrons occupy the s sublevel in principal energy level 1. The 3rd and 4th electrons must go in the next available sublevel, 2s. Beryllium's electron configuration is 1s2 2s2 4f 4d 4b 3d 4s 3p 3s 2p 2s 1s The arrangement of sublevels in order of increasing energy. Electron configuration of 11 5B, 1s2 2s2 2p1 11 5B , 12 6C , and 14 7N 12 6C, 1s2 2s2 2p2 14 7N, 1s2 2s2 2p3 Electron configuration of 18Ar , 20Ca , 30Zn and 18Ar, 1s2 2s2 2p6 3s2 3p6 20Ca, 1s2 2s2 2p6 3s2 3p6 4s2 30Zn, 1s2 2s2 2p6 3s2 3p6 4s2 3d10 36Kr, 1s2 2s2 2p6 3s2 3p6 4s2 3d10 36Kr 4p6 Often, to save space, electron configuration starts with the preceding nobel gas ( 2He , 10Ne, 18Ar, 36Kr, 54Xe and 86Rn). For example, in case of the elements sulfur = electron configuration of the element Neon , [Ne] + 3s2 3p4. Howevere, in case of the element Nickel = electron configuration of the element Argon , [Ar] + 4s2 3d8. Element Electron configuration Abbreviated electron configuration 16S 1s2 2s2 2p6 3s2 3p4 [Ne] 3s2 3p4 28Ni 1s2 2s2 2p6 3s2 3p6 4s2 3d8 [Ar] 4s2 3d8 Filling of sublevels and the periodic table: The atoms of the group1 elements all have one s electron in the outermost principal energy level. In each group2 atom, there are two s electrons in the outermost principal energy level. A similar relationship applies to the elements in any group: " The atoms of elements in a group of the periodic table have the same distribution of electrons in the outermost principal energy level." This means that the order in which electron sublevels are filled is determined by position in the periodic table. Notice the following points: The elements in group 1 and 2 are filling an s sublevel. Thus, Li and Be in the second period fill the 2s sublevel. Na and Mg in the third period fill the 3s sublevel, and so on. The elements in group 13 through 18 (six elements in each period) fill p sublevels, which have the capacity of six electrons. In the second period, the 2p sublevel starts to fill with B (Z=5) and is completed with Ne (Z=10). In the third period, the elements Al (Z=13) through Ar (Z=18) fill the 3p sublevel. The transition metals, in the center of the periodic table, fill d sublevels. The two sets of 14 elements called Lanthanides & Actinides listed separately at the bottom of the table are filling f sublevels with a principal quantum number two less than the period number. 14 elements in the sixth period (Z=57 to 70) are filling the 4f sublevel. These elements are sometimes called Rare earths or, more commonly nowadays, Lanthanides, after the name of the first element in the series, Lanthanum ( 57La). 14 elements in the seventh period (Z=89 to 102) are filling the 5f sublevel. The first element in this series is Actinium ( collectively, these elements are reffered to as Actinides. elements are radioactive. increasing atomic number. 89Ac), All these Their stability decreases rapidly with The longest-lived isotop of Nobelium (102No) has a half-life of about 3 min. Nobelium and the preceding element, Mendeleevium (101Md), were identified in containing one to three atoms of No or Md. Electronic Structure and The Periodic Table samples The hydrogen atom: The hydrogen atom, containing a single electron, has played a major role in the development of models of electronic structure. Quantum Numbers, Energy levels, and orbitals: There are three quantum numbers, given the symbols n, ℓ, and mℓ. A wave function corresponding to a particular set of three quantum numbers (e.g., n =2 , ℓ= 1, mℓ = 0 ) is referred to as an atomic orbital. Orbitals differ from one another in their energy and in the shape and spatial orientation of their electron cloud. A fourth quantum number (ms) is required to completely describe a specific electron in a multi-electron atom. Each electron in an atom has a set of four quantum numbers, n, ℓ, mℓ, ms. First quantum number (n), Principal energy levels: This number, n, comes from the Bohr model of the hydrogen atom, where the energy depends only upon n. En = - RH / n2 ............................ (Bohr equation) Where: En is the energy of the electron RH is the quantity called the Rydberg constant (2.18 x 10-18 j) n is an integer called the principal quantum number. In another atoms, the energy of each electron depends mainly, but not completely, upon the value of n. As n increases, the energy of the electron increases, and, on the average, it is found farther out from the nucleus. The quantum number (n) can take on only integral values, starting with 1: n = 1, 2, 3, 4, ......... In an atom, the value of n designates what we call a principal energy level. Thus, an electron for which n =1 is said to be in the first principal level. If n=2, we are dealing with the second principal level, and so on. Second quantum number (ℓ), Sublevels (s, p, d, f): Each principal level includes one or more sublevels. The sublevels are denoted by the second quantum number, l. The general shape of the electron cloud associated with an orbital is determined by l. Large values of l produce more complex shapes. The quantum numbers, n, and ℓ are related; l can take on any integral value starting with 0 and going up to a maximum of (n-1). That is, ℓ = 0, 1, 2,......., (n-1). If n = 1, there is only one possible value of ℓ, namely 0. This means that, in the first principal level, there is only one sublevel, for which ℓ = 0. If n=2, two values of ℓl are possible, 0 and 1. In other words, there are two sublevels (ℓl = 0 and ℓ = 1) within the second principal energy level. Similarly, If n = 3 ℓ = 0, 1, 2 (three sublevels) If n = 4 ℓ = 0, 1, 2, 3 (four sublevels) Another method is commonly used to designate sublevels. Instead of giving the quantum number, ℓ, the letters s, p, d, or f indicate the sublevels ℓ=0, 1, 2, or 3, respectively. That is, quantum number, ℓ, 0 1 2 3 Type of sublevel s p d f Sublevels designations for the first four principal levels. n 1 ℓ 0 Sublevels 1s 2 3 4 0 1 0 1 2 0 1 2 3 2s 2p 3s 3p 3d 4s 4p 4d 4f Sublevels increase in energy in the order : ns < np < nd < nf Thus, a 2p sublevel has a slightly higher energy than a 2s sublevel. By the same token, when n = 3, the 3s sublevels has the lowest energy, the 3p is intermediate, and the 3d has the highest energy. Third quantum number (mℓ), Orbitals: Each sublevel contains one or more orbitals, which differ from one another in the value assigned to the third quantum number, mℓl. This quantum number determines the direction in space of the electron cloud surrounding the nucleus. The value of mℓ is related to that of ℓl. For a given value of ℓl, mℓ can have any integral value, including 0, between ℓ and –ℓ; that is, mℓ =ℓ, .........., +1, 0, -1,........., -ℓ To illustrate how this rule works, consider an s sublevel (ℓ = 0). Here mℓ can have only one value, 0. This means that an s sublevel contains only one orbital, referred to as an s orbital. The electron cloud associated with an s orbital is spherically symmetrical; the density of the cloud varies with distance from the nucleus but is independent of direction. Most commonly, an s orbital is shown as a simple sphere. Z y The radius of the sphere indicates the region within which there is a specified probability of finding the electron. For a p sublevels (ℓ = 1), mℓ =1, 0, or -1. Within a given p sublevels, there are three different orbitals described by the quantum numbers mℓ = 1, 0, and -1. Commonly, p orbitals are referred to as px, py, and pz orbitals. px orbital pz orbital py orbital The electron density in p orbitals (b) is concentrated along the x, y, or z axis. The three p orbitals are directed at 90° angles to each other. For the d and f sublevels: d sublevels: ℓ = 2 mℓ = 2, 1, 0 , -1, -2 f sublevels: ℓ = 3 mℓ = 3, 2, 1, 0 , -1, -2, -3 5 orbitals 7 orbitals In general, for a sublevel of quantum number ℓ, there are a total of 2ℓ+1 orbitals. Fourth quantum number (ms), Electron spin: The quantum number ,ms, is associated with the spin of the electron. An electron has magnetic properties that correspond to those of a charged particle spinning on its axis. Either of two spins are possible, clockwise or counter clockwise. N N N S S S S Repulsion N some attraction ms number is not related to n, ℓ, or mℓ. It can have either of two possible values ms = +½ or - ½ Electrons that have the same value of ms (i.e., both +½ or both - ½ ) are said to have parallel spins. Electrons that have different ms values (i.e., one +½ and the other - ½ ) are said to have opposed spins. Pauli Exclusion Principle: This rule relates to the four quantum numbers that characterize an electron in an atom. It requires that no two electrons in an atom can have the same set of four quantum numbers. The Pauli exclution principle requires that no more than two electrons can fit into an orbital. Moreover, if two electrons occupy the same orbital they must have opposed spins. To see that this is the case, consider the 2s orbital. Any electron in this orbital must have n =2 ℓ=0 mℓ= 0 To satisfy the Pauli exclusion principle, the electrons in this orbital must have different ms value. But there are only two possible values of ms. Hence, only two electrons can enter the orbital. If the orbital is filled, one electron must have ms = +½ and the other ms = -½ , the two electrons must have opposed spins. Capacities of principal levels, sublevels and orbitals: 1. Each principal level of quantum number, n , contains a total of n sublevels. 2. Each sublevel of quantum number , ℓ , contains a total of 2ℓ +1 orbitals; that is, an S sublevel (ℓ = 0) contains 1 orbital p sublevel (ℓ = 1) contains 3 orbitals d sublevel (ℓ = 2) contains 5 orbitals f sublevel (ℓ = 3) contains 7 orbitals 3. Each orbital can hold two electrons (2e-) , which must have opposed spins. Allowed sets of quantum numbers for electrons in atoms: Level n 1 Sublevel ℓ 0 0 Orbital mℓ 0 0 1 0 -1 0 1 0 -1 2 1 0 -1 -2 1s 2s 2px 2py 2pz 3s 3px 3py 3pz 3d 3d 3d 3d 3d Spin ms 2 3 1 0 1 2 =+½ = -½ Example: (a) What is the capacity for electrons of the 3d sublevels?. (b) How many electrons can fit into the principal level for which n = 4. Solution: a) Each d sublevel contains five orbitals, so its capacity is 5 x 2 e- = 10 e-. b) if n = 4 , there must be four sublevels, 4s, 4p, 4d, 4f. S sublevel has one orbital, p sublevel has three orbitals, d sublevel has five orbitals and f sublevel has seven orbitals. Therefore, 1 (2 e-) + 3 (2 e-) +5 (2 e-) +7 (2 e-) = 32 e- Capacities of electronic levels and sublevels in atoms: Level n Total № of electrons in level, 2 n2 Maximum № of electrons in sublevels, 2 (2ℓ +1) s p d F 1 2 2 - - - 2 8 2 6 - - 3 18 2 6 10 - 4 32 2 6 10 14 Periodic trends in the properties of atoms: Periodic law: The chemical and physical properties of elements are a periodic function of atomic number. Atomic radius, ionic radius, ionization energy and electronegativity vary horizontally and vertically in the periodic table. Atomic Radius: Atomic radius is taken to be one half the distance of closest approach between atoms in an elemental substance. 0.256 nm Cu Atomic radius = 0.256 / 2 = 0.128 nm Atomic radii decrease across a period from left to right in the periodic table: Atom Li Radius 0.152 Be B C 0.111 0.088 0.077 N 0.070 Atomic radii increase down a group in the periodic table: Li Be 0.152 0.11 increase Na 0.189 Mg 0.160 K 0.231 Ca 0.197 decrease As effective nuclear charge increases, outer electrons are pulled in more tightly, and atomic radius decreases. Ionic Radius: Negative ions are always larger in size than the atoms from which they are derived, whereas positive ions are smaller. As a result of these effect, anions in general are larger than cations. Positive ion (Cation) Atom Negative ion (Anion) The ionic radius increases moving down a group in the periodic table. Moreover, the radii of both cations and anions decrease from left to right across a period. Li+ Be2+ 0.060 0.031 Na+ Mg2+ 0.095 0.065 Al3+ 0.050 K+ Ca2+ Ga3+ 0.133 0.099 0.62 The difference in radii between atoms and ions can be explained quite simply. A cation is smaller than the corresponding metal atom between the excess of protons in the ion draws the outer electrons in closer to the nucleus. In contrast, an extra electron in an anion adds to the repulsion between outer electrons, making a negative ion larger than the corresponding nonmetal atom. O2- F- 0.140 0.136 S2- Cl- 0.189 0.181 Se2- Br- 0.198 0.195 Te2- I- 0.221 0.216 Ionization Energy: Ionization energy is a measure of how difficult it is to remove an electron from a gaseous atom. Energy must always be absorbed to bring about ionization, So ionization energy is always positive quantity. The (first) ionization energy is the energy change for the removal of the outermost electron from a gaseous atom to form a positive ion (+1). M(g) M(g)+ + e- ∆ E1 = first ionization energy. The more difficult it is to remove electrons, the larger the ionization energy. Ionization energies increase across the periodic table from left to right. Ionization energies decrease moving down the periodic table. There are an inverse correlation between ionization energy and atomic radius. The smaller the atom, the more tightly its electrons are held to the positively charged nucleus and the more difficult they are to remove. Electronegativity: Electronegativity measures the ability of an atom to attract to itself the electron pair forming a covalent bond. The greater the electronegativity of an atom, the greater its affinity for electrons. Among the main-group elements, electronegativity increasing moving from left to right in the periodic table. Ordinary, it decreases moving down a group. SUMMARY: Ionization energy & Electronegativity Atomic radius & Li Be Ionization Energy Na and K Electronegativity Rb Cs B Ionic Radius C N Atomic Radius and Ionic Radius Hybridization of atomic orbitals: For example, Beryllium has atomic number of 4 and the electronic configuration of them is 1s2 2s2 Fluorine has atomic number of 9 and the electronic configuration of them is 1s2 2s2 2p6 The formation of the BeF2 molecule can be explained by assuming that, as two fluorine atoms approach, the atomic orbitals of the beryllium atom undergo a significant change. Specifically, the 2s orbital is mixed or hybridized with a 2p orbital to form two sp hybrid orbitals. one s atomic orbital + one p atomic orbital = two sp hybrid orbital Notice that the number of hybrid orbitals formed is equal to the number of atomic orbitals mixed. Also, the energies of the hybrid orbitals are intermediate between those of the atomic orbitals from which they are derived. Hybrid orbitals and their geometries: Number of Atomic orbitals electron pairs Hybrid orientation Examples orbitals 2 S,p Sp Linear BeF2 CO2 3 s, two p sp2 Triangular planar BF3 SO3 4 s, three p sp3 tetrahedron CH4 NH3 H2O 5 s, three p, d sp3d Triangular bipyramid PCl5 SF4 6 s, three p, two d sp3d2 octahedron SF6 XeF4