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On the Vibrations of Polyatomic Molecules

Physical Review, 1932
An exact solution of the wave equation is found for a form of one-dimensional potential energy which may be of use in discussing polyatomic molecular vibrational energies. An example of its use is given in an analysis of the vibration of the nitrogen in the ammonia molecule. The potential energy for this atom has two minima a distance $2{x}_{m}$ apart,
Rosen, N., Morse, Philip M.
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THE ENTROPY OF POLYATOMIC MOLECULES

Journal of the American Chemical Society, 1931
By counting the total number of completely antisymmetric eigenfunctions which can be formed from the rotational states, the a priori probabilities of the different symmetry varieties of ammonia (nuclear doublet and quadruplet) and of methane (nuclear singlet, triplet and quintet) are derived and used to compute the corresponding entropies at 298.1 ...
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Polyatomic molecules

2013
Contents The Hückel approximation 232 An introduction to the method 232 Brief illustration 26.1: Ethene 232 The matrix formulation of the method 232 Example 26.1: Finding molecular orbitals by matrix diagonalization 233 ...
Peter Atkins   +2 more
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The Eckart Conditions for a Polyatomic Molecule

American Journal of Physics, 1953
The Eckart conditions for a polyatomic molecule are discussed. They are introduced to insure the smallness of the interaction between vibration and rotation and define a system of coordinates in which the vibration of the atoms around their equilibrium positions is described.
Ferigle, Salvador M., Weber, Alfons
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Polyatomic molecules

1994
This chapter analyses the principles that explain the electronic structures of diatomic molecules and those carried across larger molecules. It reviews how molecular-orbitals can be constructed from linear combinations of atomic orbitals, wherein the total electronic wave function is antisymmetrized in order to take account of the Pauli principle.
W.G. Richards, P.R. Scott
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Autoionisation in polyatomic molecules

Journal of Physics B: Atomic and Molecular Physics, 1981
A brief discussion of the de-excitation probabilities associated with autoionisation, vibrational relaxation and predissociation channels suggests that the autoionisation route can dominate the others in high-n Rydberg molecular states. Experimental investigations at high resolution and energy verify this conclusion and demonstrate that the variety of ...
J P Connerade, M A Baig, S P McGlynn
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EPR Breakup of Polyatomic Molecules

The Journal of Physical Chemistry A, 2006
We explore the EPR experiment in the case of the breakup of a polyatomic molecule into two mutually entangled fragments. We give a derivation based on the properties of the dissociated wave function that no information is transferred, not even at a speed smaller than the speed of light, from one entangled partner to the other concerning its measurement
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The Vibrations of Polyatomic Molecules

2020
The vibrational spectroscopy of the semirigid (i.e., without large-amplitude motions) polyatomic molecule is reviewed. The normal modes are defined. The importance of molecular symmetry is pointed out. The Coriolis interaction and the anharmonic resonances are discussed.
Jean Demaison, Natalja Vogt
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The Kinetic Energy of Polyatomic Molecules

Physical Review, 1934
The Lagrangian and Hamiltonian expressions for the kinetic energy of a system of $N$ particles are obtained in such a form that the rotational, vibrational and coupling terms may be distinguished. The principal axes of inertia are used to define rotation.
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Rotation of the Polyatomic Molecule

2020
The rotational spectroscopy of the polyatomic molecule is reviewed. The determination of the rotational constants for the different types of rotors is discussed. The rovibrational correction and the electronic correction to the rotational constants are also described. Finally, the experimental methods are briefly presented.
Jean Demaison, Natalja Vogt
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