Quadrupoles in Electron Lens Design

Table 26

The asymmetric bell-shaped model. the aperture aberration coefficients (0021)_ij$p/q=\frac{1}{4},\frac{1}{2},2,4\left(p+q=2\right)$.

Electrostatic $p/q=\frac{1}{4}$
β2	(12)22	(12)21	(12)12	(12)20	(12)11	(12)02	(12)10	(12)01	(12)00
2.000⋆-1	−4.349	8.009	2.565	−2.475	−7.462	−1.559	2.941	6.586	−3.985
4.000⋆-1	−1.844	3.222	5.872⋆-1	−7.427⋆-1	−1.390	−2.650⋆-1	4.830⋆-1	2.230	−1.660
6.000⋆-1	−1.066	2.129	4.142⋆-1	−3.921⋆-1	−2.246⋆-1	−5.006⋆-2	1.117⋆-1	1.250	−1.097
8.000⋆-1	−5.537⋆-1	1.731	4.645⋆-1	−2.604⋆-1	2.397⋆-1	2.382⋆-2	1.247⋆-2	8.632⋆-1	−8.496⋆-1
1.000	−7.676⋆-2	1.602	5.947⋆-1	−1.952⋆-1	5.322⋆-1	6.543⋆-2	−1.502⋆-2	6.789⋆-1	−7.066⋆-1
1.200