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Proposed model of the atom had a nucleus of positive charge surrounded by a relatively large area of empty space where electrons orbited Did not propose an arrangement for the electrons Did not explain why the electrons were not pulled into the nucleus (attraction of opposite charges)
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Light exhibits characteristics of waves Wavelength (λ) Frequency (ν) amplitude
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Different types Each type has characteristic λ and ν All parts travel with the speed of light (c)… 3.00 x 10 8 m/s
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Microwaves are used to cook food and transmit information. What is the wavelength of a microwave that has a frequency of 3.44 x 10 9 Hz? Now You Try: Practice Problems 1 – 4 on page 140
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Objects that are heated often give off a characteristic color (red of stove burner, white of light bulb) View of light as a wave did not provide an accurate explanation of why this occurs So….
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Concluded that energy could only be gained or lost in small, specific amounts (like tiny packages)…called these amounts quanta
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E = hν
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Another phenomenon that could not be explained with light as a wave When light of a certain minimum frequency shines on a metal’s surface, the metal will eject electrons (video)(video)
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Every object gets its color by reflecting a certain portion of incident light. The color is determined by the wavelength of the reflected photons, thus by their energy. What is the energy of a photon from the violet portion of the Sun’s light if it has a frequency of 7.230 x 10 14 s -1 ?
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Also called line spectra…not continuous Set of frequencies of electromagnetic waves emitted by an element Not continuous Unique for each element (like a fingerprint)
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Bohr › Model stated that atoms orbit the nucleus in definite paths (energy levels) › Patterned this model after planets orbiting the sun › Electrons in a particular path (energy level) have a fixed amount of energy…quantized › Energy levels are analogous to the rungs on a ladder
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Based on a hydrogen atom Assigned a quantum number (n) to each orbit As value of n increases, the amount of energy increases
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Worked well for hydrogen Did not explain the atomic spectra produced by any other elements
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Louis de Broglie (1892 – 1987) › Recognized that electrons exhibited characteristics of waves › Recognized that light has properties of both waves and particles › Theorized that matter must be able to possess qualities of waves and particles as well
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States that it is fundamentally impossible to know both the precise velocity (momentum) and location of a particle at the same time Applies to all matter, but is useful only with really small particles…like electrons
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Schrodinger › Revised Bohr’s model › Mathematical equation to determine the most likely place an electron would orbit the nucleus › Gives the probability of finding an electron in a particular place within the atom
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Used to describe orbitals Specify the properties of atomic orbitals and the properties of the electrons in the orbitals
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First three derived from the Schrodinger equation: › Main energy level (n) › Shape of orbital (l) › Orientation of orbital (m l ) Fourth is the spin quantum number (m s ) › Describes the fundamental state of the electron
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Symbolized by n Indicates the main energy level occupied by an electron Values are positive integers As n increases, so does the distance from the nucleus More than one electron can have the same n Total number of orbitals for a given energy level is given by n 2
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Each main energy level (except the 1 st ) has different orbitals of different shapes Symbolized by l Indicates the shape of the orbital The number of orbital shapes possible for each energy level is equal to the value of n The values of l allowed are zero through n-1
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Depending on the value of l, the orbital is assigned a letter 0=s 1=p 2=d 3=f
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s = spherical p = dumbbell shaped d= complex f = way to complicated to explain…see illustrations Atomic orbitals are designated by the n followed by the letter of the sublevel
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Orbitals can have the same shape, but different orientations around the nucleus Magnetic quantum numbers indicate the orientation (m l ) s orbitals have only one orientation p orbitals can extend along the x, y, or z axis 3 p sublevels (p x, p y, or p z )
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Values for m sublevels correspond values m = -1 m=0 and m=1 5 different d orbitals…therefore 5 different orientations m=-2 m=-1 m=0 m=+1 m=+2 7 different f orbitals….7 orientations
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Electrons spin on an internal axis Can spin in one of two possible directions Spin quantum numbers can be +1/2 or - 1/2 A single orbital can hold a maximum of 2 electrons The electrons in a single orbital must have opposite spins
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Remember: › All electrons can be described by a set of quantum numbers › No two electrons can have the same set of quantum numbers
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Aufbau Principle › An electron will occupy the lowest energy orbital that can receive it Pauli Exclusion Principle: › No 2 electrons in the same atom can have the same set of quantum numbers Hund’s Rule: › Orbitals of equal energy are each occupied by one electron before any orbital is occupied by a second electron….All electrons in singly occupied orbitals have the same direction of spin (parallel spin)
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Energy LevelTypes of Orbitals 1s 2s, p 3s, p, d 4s, p, d, f 5 6s, p 7
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Orbital Type# Sub-orbitals s1 p3 d5 f7
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Each sub-orbital can hold two electrons The electrons in a sub-orbital must have opposite spin
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Type of OrbitalMax # electrons s2 p6 d10 f14
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Energy LevelTypes of OrbitalMax # of e - 1s2 2s, p8 3s, p, d18 4s, p, d, f32 5s, p, d, f32 6s, p,8 7s, p8
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s, p, d, f blocks
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1 s 2 s 3s 4 s 5s 6 s 7 s
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5p 2p 3p 4p 6p 7p
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5d 3d 4d 6d
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4f 5f
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Carbon Lithium Sodium Phosphorus Neon
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Write the complete electron configuration for: › Helium › Sulfur › Magnesium › Silicon › Tin
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Carbon Lithium Sodium Phosphorus Neon
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Write the orbital notation for: › Helium › Sulfur › Magnesium › Silicon › Tin
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Use the noble gas that comes before the element Write the noble gas’s symbol in brackets Continue with the electron configuration from there
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Calcium: › Electron Configuration: › Noble Gas Notation: You try these: a. Titanium b. Silicon c. Barium
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