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VUV Spectroscopy of Atoms, Molecules and Surfaces

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Chapter 4<br />

Lifetimes <strong>of</strong> molecular<br />

negative ions<br />

4.1 Introduction<br />

Most <strong>of</strong> the negative ions that are unstable in the ground state exist in<br />

metastable states associated with excited parent states <strong>of</strong> the corresponding<br />

neutral system or, for molecules, with the ground state <strong>of</strong> the neutral<br />

molecule. At present no clear definition <strong>of</strong> metastability exists, <strong>and</strong> I will,<br />

following Blondel [1], regard a state as metastable if it is long-lived enough<br />

that it can be detected along a beam-line. By this definition, states with<br />

lifetimes as short nanoseconds may be considered metastable but the emphasis<br />

<strong>of</strong> the present chapter is on the µs–ms range. For a state to be that<br />

long-lived, decay via photon- <strong>and</strong> electron emission must be forbidden by the<br />

radiative- <strong>and</strong> autodetachment selection rules, imposing for molecular negative<br />

ions some restrictions on the electronic potential-energy curve associated<br />

with the metastable state. First, the minimum <strong>of</strong> the curve must be attained<br />

below the energy <strong>of</strong> a (possibly excited) electronic state <strong>of</strong> the neutral system<br />

evaluated at the same bond length <strong>and</strong> (eventual) bend angle, i.e. the vertical<br />

electron affinity must be positive. Second, unless the minimum <strong>of</strong> the<br />

potential-energy curve <strong>of</strong> the negative-ion state is energetically located below<br />

that <strong>of</strong> the neutral state (referred to as positive adiabatic electron affinity),<br />

the minima <strong>of</strong> the potential-energy curves must be located at sufficiently different<br />

bond lengths <strong>and</strong>/or bend angles that the detachment probability can<br />

be considered small. This means that a barrier must be surpassed in order<br />

for autodetachment to occur, or stated another way: the Frank-Condon overlap<br />

between the states must be small. Third, if the potential-energy curve

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