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PHYS07200604007 Manas Kumar Dala - Homi Bhabha National ...

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Experimental Techniques 35<br />

negative and the inner positive with respect to V 0 which is the median equipotential<br />

surface between the hemispheres.<br />

Figure 2.9: The principle of operation of the concentric hemispherical analyser,<br />

schematic diagram.<br />

If E p is the kinetic energy of an electron travelling in an orbit of radius R 0 , then<br />

the relationship between E p and V 0 is given by the expression,<br />

eV 0 = E p ·<br />

(<br />

R2<br />

− R )<br />

1<br />

R 1 R 2<br />

(2.21)<br />

The voltages on the inner and outer hemispheres are V 1 and V 2 respectively and<br />

these are given by,<br />

V 1 = E p ·<br />

V 2 = E p ·<br />

(a) Modes of analyser operation<br />

(<br />

2 R )<br />

0<br />

− 1<br />

R 1<br />

(<br />

2 R )<br />

0<br />

− 1<br />

R 2<br />

(2.22)<br />

(2.23)<br />

The kinetic energy can be scanned either by varying the retardation ratio whilst<br />

holding the analyser pass energy constant known as constant analyzer energy (CAE)

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