How good is the Born-Oppenheimer approximation?

How good is the Born-Oppenheimer approximation?

The present analysis suggests that the Born-Oppenheimer approximation is a very good one both for the energy and the wave function, even for the proton in a hydrogen bond. are considered where the light particle is an- electron or, as in a hydrogen bond, a proton.

What is the consequence of Born-Oppenheimer approximation?

The Born-Oppenheimer Approximation is the assumption that the electronic motion and the nuclear motion in molecules can be separated. It leads to a molecular wave function in terms of electron positions and nuclear positions.

Under what condition Born-Oppenheimer approximation is applicable?

The Born-Oppenheimer approximation neglects the motion of the atomic nuclei when describing the electrons in a molecule. The physical basis for the Born-Oppenheimer approximation is the fact that the mass of an atomic nucleus in a molecule is much larger than the mass of an electron (more than 1000 times).

What is the significance of Born-Oppenheimer approximation?

The Born-Oppenheimer approximation is one of the basic concepts underlying the description of the quantum states of molecules. This approximation makes it possible to separate the motion of the nuclei and the motion of the electrons.

Does adiabatic mean constant temperature?

An adiabatic process is defined as a process in which no heat transfer takes place. This does not mean that the temperature is constant, but rather that no heat is transferred into or out from the system.

What is adiabatic sudden approximation?

This gradual change in the external conditions characterizes an adiabatic process. The quick movement which had a chaotic effect is often referred to as sudden. Note that the term ‘adiabatic’ does not imply anything with regard to the conservation of the energy of the system.

What happens if the walls of a finite potential well get very thin?

Question: What happens if the walls of a ‘finite’ potential well get very thin? O The electron will assume an energy state exceeding the potential well and become a free electron. The electron gets reflected more elastically by each wall. The electron can tunnel through the wall and leave the well.

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