Homework 3
... 2. Bohr reasoned that e- energy is quantized. Using his formula calculate the energy and the wavelength of a photon emitted by a hydrogen atom if an electron drops from the n = 6 state to the n = 3 state (h = 6.63 10-34 J, RH = 2.18 10-18 J). ...
... 2. Bohr reasoned that e- energy is quantized. Using his formula calculate the energy and the wavelength of a photon emitted by a hydrogen atom if an electron drops from the n = 6 state to the n = 3 state (h = 6.63 10-34 J, RH = 2.18 10-18 J). ...
Harmonic oscillator - Vibration energy of molecules 1. Definitions
... The energy of a molecule is approximately the sum of the energies of translation of the electrons (kinetic energy), of inter-atomic vibration, of rotation of the molecule and that of the electronic states. The optical spectroscopy, i.e. the interaction of electromagnetic radiation with atoms or mole ...
... The energy of a molecule is approximately the sum of the energies of translation of the electrons (kinetic energy), of inter-atomic vibration, of rotation of the molecule and that of the electronic states. The optical spectroscopy, i.e. the interaction of electromagnetic radiation with atoms or mole ...
Atomic and Molecular S Atomic and Molecular Spectroscopy
... 1.10 The Transition Dipole Moment and spectroscopic selection rules ...
... 1.10 The Transition Dipole Moment and spectroscopic selection rules ...
QUANTUM THEORY OF ATOMS AND MOLECULES
... 1. The vibrational frequencies of H2+, D2 and H2 are approximately 2322, 3118 and 4400 wavenumbers (cm) respectively. Calculate the force constants for these molecules and comment on the relative magnitudes of the values you obtain. 2. For the case of H2 above, calculate the temperature at which t ...
... 1. The vibrational frequencies of H2+, D2 and H2 are approximately 2322, 3118 and 4400 wavenumbers (cm) respectively. Calculate the force constants for these molecules and comment on the relative magnitudes of the values you obtain. 2. For the case of H2 above, calculate the temperature at which t ...
Problem Set 1 (due 2/21/06)
... spectrum? An absorption spectrum? Which two most closely resemble each other? A fluorescence emission spectrum is collected by illuminating the sample with a single wavelength and collecting a scan of the intensities of the different wavelengths emitted by the sample. A laser would be an excellent e ...
... spectrum? An absorption spectrum? Which two most closely resemble each other? A fluorescence emission spectrum is collected by illuminating the sample with a single wavelength and collecting a scan of the intensities of the different wavelengths emitted by the sample. A laser would be an excellent e ...
CHEM 515 Spectroscopy Vibrational Spectroscopy I
... measure of the strength of the spring (or chemical bond) connecting two particles. The force constants is proportional to the bond order. ...
... measure of the strength of the spring (or chemical bond) connecting two particles. The force constants is proportional to the bond order. ...
Notes 12
... - is expected to form CH2 molecules with two spσ orbitals at 90 degrees - linear combination of two 2s2 and and two 2p2 orbitals into four sp3 orbitals - results in perfectly symmetric CH4 molecule with four equal C-H bonds - this effect is called hybridization, discovered by Linus Pauling in 1928 ( ...
... - is expected to form CH2 molecules with two spσ orbitals at 90 degrees - linear combination of two 2s2 and and two 2p2 orbitals into four sp3 orbitals - results in perfectly symmetric CH4 molecule with four equal C-H bonds - this effect is called hybridization, discovered by Linus Pauling in 1928 ( ...
PG510 Symmetry and Molecular Spectroscopy
... a single molecule, there are only three ways in which the molecule can move between those two levels: ...
... a single molecule, there are only three ways in which the molecule can move between those two levels: ...
5.62 Physical Chemistry II
... Only ground state contributes significantly to qelec and only ground state is populated significantly. But sum includes ∞ # of nonzero terms! How do we justify neglect of infinite number of positive, non-zero terms in qelect? Hint: 〈r〉n = a0n2. What about the nuclear partition function qnuc? 2I + 1. ...
... Only ground state contributes significantly to qelec and only ground state is populated significantly. But sum includes ∞ # of nonzero terms! How do we justify neglect of infinite number of positive, non-zero terms in qelect? Hint: 〈r〉n = a0n2. What about the nuclear partition function qnuc? 2I + 1. ...
Lecture notes, part 6
... Fundamental Postulate of Statistical Mechanics: Given an isolated system at equilibrium, it is found with equal probability in each of its accessible microstates (set of quantum numbers) consistent with what is known about the system at a macroscopic level (eg. its temperature) Example: consider the ...
... Fundamental Postulate of Statistical Mechanics: Given an isolated system at equilibrium, it is found with equal probability in each of its accessible microstates (set of quantum numbers) consistent with what is known about the system at a macroscopic level (eg. its temperature) Example: consider the ...
General Introduction to Electronic Structure Theory
... real. Correspond to stable or quasi-stable species; i.e., reactants, products, and intermediates • Transition states: minimum in all dimensions but one, maximum in the remaining dimension; exactly one imaginary vibrational frequency. Corresponds to a maximum (barrier) on the minimum energy path betw ...
... real. Correspond to stable or quasi-stable species; i.e., reactants, products, and intermediates • Transition states: minimum in all dimensions but one, maximum in the remaining dimension; exactly one imaginary vibrational frequency. Corresponds to a maximum (barrier) on the minimum energy path betw ...
Forces between atoms and molecules
... The real-time evolution of the electric field of an oscillating electric dipole is shown. The dipole is located at (60,60) in the graph, oscillating at 1 rad/s (~.16Hz) in the vertical direction. ...
... The real-time evolution of the electric field of an oscillating electric dipole is shown. The dipole is located at (60,60) in the graph, oscillating at 1 rad/s (~.16Hz) in the vertical direction. ...
Franck–Condon principle
The Franck–Condon principle is a rule in spectroscopy and quantum chemistry that explains the intensity of vibronic transitions. Vibronic transitions are the simultaneous changes in electronic and vibrational energy levels of a molecule due to the absorption or emission of a photon of the appropriate energy. The principle states that during an electronic transition, a change from one vibrational energy level to another will be more likely to happen if the two vibrational wave functions overlap more significantly.