Reduced mass of atoms

The quantity 2b2 is the force constant of the corresponding bond with b = ttv(2 )1/2, where i is the reduced mass of atoms forming the bond. 

Position of band depends on — reduced mass of atoms bond strength light atoms give high frequency strong bonds give high frequency... 

In the foregoing, U is the interaction potential, M is the reduced mass of the colliding system, ftk and ftk are respectively the momentum of the projectile before and after the collision, ig and in are respectively the wavefunctions of the atom (or molecule) in the ground and nth excited states, and the volume element dt includes the atomic electron and the projectile. Since U for charged-particle impact may be represented by a sum of coulombic terms in most cases, Eq. (4.11) can be written as (Bethe, 1930 Inokuti, 1971)... 

Fig. 4 Morse curves of the reactants and products at zero driving force (z is the elongation of the RX distance from equilibrium, P = V(,(2Jt p/ )Rx) with Vq representing the vibration frequency, p the reduced mass of the two atoms of the R—X bond, and the RX bond dissociation energy).

Here N is the Avogadro number, fi is the density of the crystal and Mp the the reduced mass of the atoms. 

The scattering lengths discussed so far refer to a fixed nucleus. If the nucleus is free to vibrate, it will recoil under the impact of the neutron. In that case the effective mass is that of the compound nucleus, consisting of the neutron and the scattering nucleus. This means that the neutron mass m must be replaced by the reduced mass of the compound nucleus (i = mM/(M + m), where M is the mass of the scattering atom. As a result, the scattering length of the free atom is related to that of the bound atom by... 

The S-H absorption is typically weak and occurs at a lower wavenumber (frequency) than the corresponding 0-H vibration because of the higher atomic mass of sulfur (and so increased reduced mass of SH). The difference in reduced mass, however, does not completely account for the reduction in the stretching frequency of the S-H bond as this bond is also generally weaker (smaller k) than the corresponding O-H bond (typical bond dissociation energies OH, 460 kJ mol SH, 340 kJ mol ). 

The atomic unit of length is the radius of the first Bohr orbit in the hydrogen atom when the reduced mass of the electron is replaoed by the rest mass tne. Thus the atomic unit of length is... 

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