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Advanced Chemistry Midterm
Advanced Chemistry Midterm

Atomic Structure
Atomic Structure

... dental radiographs while the patient listens to a radio station (l = 325 cm) and looks out the window at the blue sky (l= 473 nm). What is the frequency (in s-1) of the electromagnetic radiation from each source? (Assume that the radiation travels at the speed of light, 3.00x108 m/s.) ...
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... Building on de Broglie’s work, in 1926, Erwin Schrödinger devised a theory that could be used to explain the wave properties of electrons in atoms and molecules. The branch of physics that mathematically describes the wave properties of submicroscopic particles is called quantum mechanics or wave m ...
Four Quantum Numbers
Four Quantum Numbers

... When principle energy level n=1, then l=0, which means there is only a single sublevel (one orbital) which is the small, spherical 1s When principle energy level n=2, then l can equal 0 or 1, which means that there are two sublevels (orbitals) 2s and 2p – 2s sublevel bigger than 1s, still sphere – ...
Electron Orbits
Electron Orbits

... read the literature well enough -- and you know how that happens. On the other hand, one would think that other people would have told us about it. For instance, we had a colloquium at that time in Berlin at which all the important papers were discussed. Nobody discussed Bohr's theory. Why not? The ...
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Chapter 5 : Electrons in Atoms

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... where Δx is the uncertainty about position, Δp is the uncertainty about momentum (i.e. difference between maximum and minimum possible momentum values), and h is Planck’s constant. Scientists often use ħ to stand for h/2, so this formula can also be written as: ...
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... When n = 1, then l = 0 Therefore, in n = 1, there is just 1 type of sublevel and that sublevel has a single orbital This sublevel is labeled s (“ess”) Each level has 1 orbital labeled s, and it is SPHERICAL in shape. ...
Population Analysis
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Chapter 1: Atomic Structure

... to energy. It also explains the movement of electrons to lower energy levels when the source of energy has disappeared. Accompanying this drop in energy level is the emission of electromagnetic radiation (for example, visible light is one possibility). In other words, radiation results from the move ...
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Electronic Structure of Atoms

... Solution of the Schroedinger three dimensional wave equation, , led to the discrete energy levels of the hydrogen atom. Lowest level is spherical. Predicts distribution of electrons in other elements. ...
The Particulate Nature of Light
The Particulate Nature of Light

... - e.g., the deflection of a stream of electrons is just like the path of a projectile. Electrons can also exhibit wave properties - e.g., they can demonstrate diffraction. De Broglie proposed that an electron of mass m moving with speed v would have a wavelength given by:  = h/p This equation gives ...
Review Puzzles
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... has only one valence electron with the angular quantum number (l) of 1 has n=2 as its valence shell. The valence electrons have no unpaired electrons of l =0 and only 2 electrons of l =1 with ms values of +1/2 for both of the these l valence electrons has a smaller atomic radius than A and R has a l ...
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Quantum mechanics
Quantum mechanics

... • The catch is that terms in the equations are weighed by elements of a density matrix P – But the elements of P can only be computed if molecular orbitals are known • But finding the molecular orbitals requires solving the Roothaan-Hall ...
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Atomic orbital



An atomic orbital is a mathematical function that describes the wave-like behavior of either one electron or a pair of electrons in an atom. This function can be used to calculate the probability of finding any electron of an atom in any specific region around the atom's nucleus. The term may also refer to the physical region or space where the electron can be calculated to be present, as defined by the particular mathematical form of the orbital.Each orbital in an atom is characterized by a unique set of values of the three quantum numbers n, ℓ, and m, which respectively correspond to the electron's energy, angular momentum, and an angular momentum vector component (the magnetic quantum number). Any orbital can be occupied by a maximum of two electrons, each with its own spin quantum number. The simple names s orbital, p orbital, d orbital and f orbital refer to orbitals with angular momentum quantum number ℓ = 0, 1, 2 and 3 respectively. These names, together with the value of n, are used to describe the electron configurations of atoms. They are derived from the description by early spectroscopists of certain series of alkali metal spectroscopic lines as sharp, principal, diffuse, and fundamental. Orbitals for ℓ > 3 continue alphabetically, omitting j (g, h, i, k, …).Atomic orbitals are the basic building blocks of the atomic orbital model (alternatively known as the electron cloud or wave mechanics model), a modern framework for visualizing the submicroscopic behavior of electrons in matter. In this model the electron cloud of a multi-electron atom may be seen as being built up (in approximation) in an electron configuration that is a product of simpler hydrogen-like atomic orbitals. The repeating periodicity of the blocks of 2, 6, 10, and 14 elements within sections of the periodic table arises naturally from the total number of electrons that occupy a complete set of s, p, d and f atomic orbitals, respectively.
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