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Bessel box

Figure 11 Schematic diagram of (a) an electrostatic energy analyzer and (b) a Bessel box energy analyzer. (From Ref. 19.)... Figure 11 Schematic diagram of (a) an electrostatic energy analyzer and (b) a Bessel box energy analyzer. (From Ref. 19.)...
Figure 10 Ion optics (a) Einzel lens/Bessel box similar to optics used in Sciex ELAN 250,500, and 5000 ICP-MS instruments, (b) Multiple lens stack similar to those used in VG instruments, (c) Optics similar to those used in HP 4500. (d) Offset ion lens system developed by Hu and Houk [108,109] and used in Thermo ICP-MS. (e) Ion optics used in Seiko instrument with the quadmpole mounted perpendicular to the sampler-skimmer axis, (f) Single-lens-based ion optics similar to the Perkin-Elmer ELAN 6000 system. Figure 10 Ion optics (a) Einzel lens/Bessel box similar to optics used in Sciex ELAN 250,500, and 5000 ICP-MS instruments, (b) Multiple lens stack similar to those used in VG instruments, (c) Optics similar to those used in HP 4500. (d) Offset ion lens system developed by Hu and Houk [108,109] and used in Thermo ICP-MS. (e) Ion optics used in Seiko instrument with the quadmpole mounted perpendicular to the sampler-skimmer axis, (f) Single-lens-based ion optics similar to the Perkin-Elmer ELAN 6000 system.
Fig. 18. Diagram of an ICP-MS device. A, torch and load coil B, grounded center tap C, grounded shielding box D, sampler E, line to rotary vacuum pump F, skimmer G, grounded metal disk H, ion lens I, Bessel box with photon stop in center (J) K, RF-only quadrupole rods L, quadrupole mass analyzer M, exit ion lens and ion deflector N, Channeltron electron multiplier P, cryogenic baffles for evacuation. Reproduced with permission (Houk and Thompson 1988). Fig. 18. Diagram of an ICP-MS device. A, torch and load coil B, grounded center tap C, grounded shielding box D, sampler E, line to rotary vacuum pump F, skimmer G, grounded metal disk H, ion lens I, Bessel box with photon stop in center (J) K, RF-only quadrupole rods L, quadrupole mass analyzer M, exit ion lens and ion deflector N, Channeltron electron multiplier P, cryogenic baffles for evacuation. Reproduced with permission (Houk and Thompson 1988).
Fig. 5.2. SCIEX ELAN ICP-MS device. A = ICP B = load coil grounded at center, C = shielding box, D = sampler, E = mechanical vacuum pump, F = skimmer, G = grounded metal stop, H = ion lenses, I = Bessel box, J = photon stop, K = RF only quadrupole rods, L = quadrupole mass analyzer, M = ion lenses and deflector, N - Channeltron electron multiplier, P = cryoshells. Reproduced from Mass Spectram. Reviews with permission of John Wiley. Fig. 5.2. SCIEX ELAN ICP-MS device. A = ICP B = load coil grounded at center, C = shielding box, D = sampler, E = mechanical vacuum pump, F = skimmer, G = grounded metal stop, H = ion lenses, I = Bessel box, J = photon stop, K = RF only quadrupole rods, L = quadrupole mass analyzer, M = ion lenses and deflector, N - Channeltron electron multiplier, P = cryoshells. Reproduced from Mass Spectram. Reviews with permission of John Wiley.
The Bessel functions tp(r,9, ip) that vanish at r = a for l = 0 define a Fourier series [54]. The ground-state series is the Fourier transform of sin(ka)/ka, which is the box function... [Pg.120]

The most general solution to the wave equation of a spherically confined particle is the Fourier transform of this Bessel function, i.e. the box function defined by ro- Such a wave function, which terminates at the ionization radius, has a uniform amplitude throughout the sphere, defined before (3.36)... [Pg.163]

In the box, two additional methods to obtain Bessel functions are summarized. The generating function relates Bessel functions to the exponential, Spiegel, 1971[3]. This relation is useful for obtaining properties of the Bessel function for integral n. Recursions of the Bessel functions are generally derived this way. Bessel s integral relates Bessel and trigonometric function. [Pg.307]

The wavefunctions of particles at different potentials or in differently shaped boxes differ. The orbitals of a particle in a planar circular box are Bessel functions, while the orbitals in a spherically symmetrical box have spherical harmonics that are characterized by three quantum numbers. The well-known hydrogen orbitals, which have an angular part and a radial part with quantum numbers n, /, and m, are examples of wavefunctions of electrons in the spherically symmetric Coulomb potential of the proton (considered immobile). [Pg.37]


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See also in sourсe #XX -- [ Pg.53 , Pg.54 , Pg.90 ]

See also in sourсe #XX -- [ Pg.256 ]

See also in sourсe #XX -- [ Pg.256 ]




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