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1、Chapter 48 Atomic StructureChapter 48 Atomic Structure48-1 The X-Ray Spectrum of Atoms X rays are produced when rapidly moving electrons that have been accelerated through a potential difference of the order of 103 to 105V strike a metal target. The binding energy in the innermost shell is higher th
2、an that in outside shell. For example, outside 5eV, innermost 70keV. So the electrons may strike the target with enough energy to knock electrons out of the inner shells of the target atoms. An electron in outside shell can transit to deep levels in many electron atom.+ZeAn apparatus of experimentre
3、sult of experimentThe Continuous X-ray Spectrum (bremsstrahlung) Continuous spectrum is due to the loss of kinetic energy of incident electrons. The kinetic energy transfers to radiation, photons. The minimum min corresponds to the loss of all incident energy . It is independent of materials.Sample
4、problem 48-1the way of measuring hThe Characteristic X-ray Spectrum Two peaks, together with other peaks, depend on the materials.The reason is:1) An energetic electron strikes a target atom and knocks out one of its deep-seated electrons and left a hole.2) One of the outer electrons moves in to fil
5、l this hole and, in the process, the atom emits a characteristic x-ray photon. L shell transit to K shell, leaves a hole in L shell, and fills by further outer electron.K, L, Mare labeled the principle shells of electrons.48-2 X Rays and the Numbering of the Elements From the time of Mendeleev (1834
6、-1907) the elements were listed in the periodic table in the order of increasing atomic weight. However, one difficulty still exists, that is, in several cases, the strict order of increasing atomic weights had to be reversed to maintain the similarity of chemical properties in the vertical columns
7、of the table. For example: In 1913 The British physicist H. G. J. Moseley first introduced the concept of atomic number (symbol Z) and showed that these difficulties were removed if the periodic table was organized in order of increasing Z. In experiments Moseley found that for a given x-ray spectru
8、m line such as K, the square root of its frequency against the position of the associated element in the periodic table, a straight line resulted. We have here a proof that there is in the atom a fundamental quantity, which increases by regular steps as we pass from one element to the next. This qua
9、ntity can only be the charge on the central atomic nucleus.Z is the numerical position of the element in the periodic table.Bohr theory and the Moseley plotFor hydrogenic (single-electron) atoms.For hydrogen atom, Consider an electron in the L shell of an atom that is about to move into a hole in th
10、e K shell, emitting a K x-ray photon in the process.+Ze The effective charge is (Z-b)e, as shown in the figure b1. It may be other value for different configuration.Replace Z by Z-b, we obtainFor K x-ray nf=1, ni=2 For a hole in K shell, b=1, then Moseley law results The equation represents a straig
11、ht line, in full agreement with the experimental data of Fig.48-4. It is not hard to see why the characteristic x-ray spectrum shows such remarkable regularities from element to element whereas the visible spectrum does not. The key to the identity of an element is the charge on its nucleus. This de
12、termines the number of its atomic electrons and thus its chemical properties. Gold, for example, is what it is because its atoms have a nuclear charge of +79e. If it had one more unit of charge, it would not be gold but mercury; if it had one less, it would be platinum. The K-shell electrons, which
13、play such a large role in the generation of the characteristic x-ray spectra, lie very close to the nucleus and are sensitive probes of its charge. The visible spectrum, on the other hand, is associated with transitions of the outer electrons, which are heavily shielded or “ screened” from the nucle
14、us by the remaining atomic electrons; they are not sensitive probes of nuclear charge.Sample-problem 48-2According to the Bohr theory,The slope of straight ling in Fig 48-4 isHow it is agreement!48-3 Building Atoms Many physical and chemical properties of the elements are periodic functions of the a
15、tomic number Z. Russia scientist Dimitri Mendeleev was the first to indicate the Periodic Table in 1869 .Groups (column): first group,H, Li, Na, . Elements in a group have very similar chemical and optical properties.Periods: first period, H, He; second, Li, Be, B, . . The chemical properties of the
16、 elements in a period vary progressively as we go from left to right.The reason for these is that these properties are determined by the electron configuration.How does the electrons of a element configurate?Building atoms by the following three rules (1) The quantum number principle:There are 4 qua
17、ntum numbers - n, l, ml, ms.(2) The Pauli exclusion principle:In multielectron atom, no two electrons can have the same set of quantum numbers (n, l, ml, ms).(3) The minimum energy principle:In adding an electron, put it in whatever vacant quantum state leads to an atom that is lowest in energy. n p
18、rinciple shell l subshell48-4 The Periodic Table The maximum number of electrons in a given subshell is 2(2l+1). That is, 2 for s states (l=0), 6 for p states (l=1), 10 for d states (l=2), and 14 for f states (l=3).Electron Configurations of the ElementsFor instanceFluorine Z= 9 1s2 2s2 2p5 Neon Z=1
19、0 1s2 2s2 2p6Sodium Z=11 1s2 2s2 2p63s1But for Potassium, K, Z=19, 1s2 2s2 2p63s23p64s1Why?1s(2) 2s2p(8) 3s3p(8) 4s3d4p(18)5s4d5p(18) 6s4f5d6p(32) 7s5f6d7p(32)The Periodic TableIonization energy The energy required to remove the least tightly bound electron from an atom in its ground state is called
20、 ionization energy. Rare gases They interact very poorly with one another or with other atoms; as a result they do not form molecules or solids easily. They are, except under very extreme circumstances, monoatomic gases. Why? The electron configuration of these elements is made up of closed subshell
21、s, their special distribution has spherical symmetry. These atoms do not have net electric dipole and magnetic dipole.Alkali elements They are called the hydrogen-like atoms. Their energy levels for the outer electron is very similar to those of hydrogen where the quantum number l is large. However, they are different in cases where l is small.Excited States and Optical TransitionSelection rule The orbital angular momentum quantum number of the electron making the transition must change by a single unit only; that isl = 1Another selection rule ml
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