Molecular structure: Diatomic molecules in the rigid rotor and
... We have seen how the adiabatic approximation and the Born-Oppenheimer approximation allow us to get separate Schrödinger equations for the electronic and the nuclear coordinates. The nuclear Schrödinger equation describes both the motion of the molecule as a whole through space and relative motion—v ...
... We have seen how the adiabatic approximation and the Born-Oppenheimer approximation allow us to get separate Schrödinger equations for the electronic and the nuclear coordinates. The nuclear Schrödinger equation describes both the motion of the molecule as a whole through space and relative motion—v ...
V. Angular momentum
... If the component of the net external torque on a system along a certain axis is zero, the component of the angular momentum of the system along that axis cannot change, no matter what changes take place within the system. This conservation law holds not only within the frame of Newton’s mechanics b ...
... If the component of the net external torque on a system along a certain axis is zero, the component of the angular momentum of the system along that axis cannot change, no matter what changes take place within the system. This conservation law holds not only within the frame of Newton’s mechanics b ...
Chemistry 453 March 17, 2008 Enter answers in a Blue Book Final
... discussion to less than 200 words. Use equations where helpful or required, but detailed calculations are not necessary. Question 4.1 State the Franck-Condon Principle. Make a sketch of an electronic transition from a ground state singlet state to an excited state that demonstrates this principle. Q ...
... discussion to less than 200 words. Use equations where helpful or required, but detailed calculations are not necessary. Question 4.1 State the Franck-Condon Principle. Make a sketch of an electronic transition from a ground state singlet state to an excited state that demonstrates this principle. Q ...
PHY205 Physics of Everyday Life
... • The circumference of the tires on your car is 0.9 m. • The onboard computer in your car measures that your tires rotate 10 times per second. • What is the speed as displayed on your speedometer? A. 0.09 m/s B. 0.11 m/s C. 0.9 m/s D. 1.1 m/s E. 9 m/s ...
... • The circumference of the tires on your car is 0.9 m. • The onboard computer in your car measures that your tires rotate 10 times per second. • What is the speed as displayed on your speedometer? A. 0.09 m/s B. 0.11 m/s C. 0.9 m/s D. 1.1 m/s E. 9 m/s ...
Rotational Inertia
... enough to counterbalance any frictional forces. In later parts of the experiment this amount of mass will not be counted as part of the hanging mass that produces a net force. Record the weight of this mass in the table as the “Zero Acceleration” weight, W0 =M0g. Now replace the 5 g mass hanger with ...
... enough to counterbalance any frictional forces. In later parts of the experiment this amount of mass will not be counted as part of the hanging mass that produces a net force. Record the weight of this mass in the table as the “Zero Acceleration” weight, W0 =M0g. Now replace the 5 g mass hanger with ...
Week 9 Chapter 10 Section 1-5
... Point P will rotate about the origin in a circle of radius r Every particle on the disc undergoes circular motion about the origin, O Polar coordinates are convenient to use to represent the position of P (or any other point) P is located at (r, ) where r is the distance from the origin to P and ...
... Point P will rotate about the origin in a circle of radius r Every particle on the disc undergoes circular motion about the origin, O Polar coordinates are convenient to use to represent the position of P (or any other point) P is located at (r, ) where r is the distance from the origin to P and ...
Semiclassical Statistical Mechanics
... precision with which conjugate coordinates and momenta can be specified. Thus, we expect that d must be closely related to Planck's constant. Furthermore, if the parameter d is to remain small and finite it must be a universal constant so that entropies can be added meaningfully for systems of diffe ...
... precision with which conjugate coordinates and momenta can be specified. Thus, we expect that d must be closely related to Planck's constant. Furthermore, if the parameter d is to remain small and finite it must be a universal constant so that entropies can be added meaningfully for systems of diffe ...
angular motion - Craigie High School
... The friction acting at the axle of a bicycle wheel can be investigated as follows. The wheel, of mass 1.2 kg and radius 0.50 m, is mounted so that it is free to rotate in the vertical plane. A driving torque is applied and when the wheel is rotating at 5.0 revs per second the driving torque is remov ...
... The friction acting at the axle of a bicycle wheel can be investigated as follows. The wheel, of mass 1.2 kg and radius 0.50 m, is mounted so that it is free to rotate in the vertical plane. A driving torque is applied and when the wheel is rotating at 5.0 revs per second the driving torque is remov ...
Rotational spectroscopy
Rotational spectroscopy is concerned with the measurement of the energies of transitions between quantized rotational states of molecules in the gas phase. The spectra of polar molecules can be measured in absorption or emission by microwave spectroscopy or by far infrared spectroscopy. The rotational spectra of non-polar molecules cannot be observed by those methods, but can be observed and measured by Raman spectroscopy. Rotational spectroscopy is sometimes referred to as pure rotational spectroscopy to distinguish it from rotational-vibrational spectroscopy where changes in rotational energy occur together with changes in vibrational energy, and also from ro-vibronic spectroscopy (or just vibronic spectroscopy) where rotational, vibrational and electronic energy changes occur simultaneously.For rotational spectroscopy, molecules are classified according to symmetry into spherical top, linear and symmetric top; analytical expressions can be derived for the rotational energy terms of these molecules. Analytical expressions can be derived for the fourth category, asymmetric top, for rotational levels up to J=3, but higher energy levels need to be determined using numerical methods. The rotational energies are derived theoretically by considering the molecules to be rigid rotors and then applying extra terms to account for centrifugal distortion, fine structure, hyperfine structure and Coriolis coupling. Fitting the spectra to the theoretical expressions gives numerical values of the angular moments of inertia from which very precise values of molecular bond lengths and angles can be derived in favorable cases. In the presence of an electrostatic field there is Stark splitting which allows molecular electric dipole moments to be determined.An important application of rotational spectroscopy is in exploration of the chemical composition of the interstellar medium using radio telescopes.