Photoprotonic Effect in Hydrides
Abstract
The cross section for the photoejection of a proton from a hydride molecule is derived using the Born approximation for hν>>I, and using the longwavelength approximation for hν~=1, where ν is the frequency of the incident photon and I is the ionization potential of the proton. The cross section is negligible in the highenergy case. Near threshold, the probability for one photon being adsorbed in a path length of 1 cm is τ=1.4×10^{2}ρN^{12}Z^{2}Mνbν_{0}bν_{0}νν_{c}+(b 1)ν_{0}^{(6N+5)3}f^{2}_{N} where ρ is the density M is the molecular weight, Z is the orbital exponent of the Slater function describing the proton, b is a number between 1 and 2, N is the principal quantum number of the proton, hν_{0}=I, and hν_{c} is the kinetic energy of the center of mass plus the kinetic energy of the relative coordinate in the direction of the motion of the center of mass. The coefficient f_{N} oscillates as N increases. For the range in N considered (88125), f_{N} varies from a minimum of 7.793 at N=103 to a maximum of 175.4 at N=115 beyond which it decreases again. Since N is large, τ is large only near threshold.
 Publication:

Physical Review A
 Pub Date:
 March 1972
 DOI:
 10.1103/PhysRevA.5.1104
 Bibcode:
 1972PhRvA...5.1104T