Notizen: Calculation of the Ion Optical Properties of Inhomogeneous Magnetic Sector Fields: Note on the Trajectories outside the Median Plane with Oblique Incidence, and on the Second Order Angular Aberration Coefficient

In a previous article 1 we pointed out the possible advantages of inhomogeneous magnetic sector fields for mass spectrometers, as these fields permit a substantial increase in mass dispersion and resolving power without change in radius or slit widths. In the said paper 1 we calculated the coefficients of the second order aberrations in the median plane, as well as the field shape required to eliminate the second order angular aberration in the median plane. In the present paper we calculate the second order aberrations outside the median plane referring to focusing in the radial direction. Again the influence of fringing fields is being neglected, and the field boundaries are supposed to be plane and normal to the main path at the point where it enters and leaves the field.

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Calculation of the Ion Optical Properties of Inhomogeneous Magnetic Sector Fields, including the Second Order Aberrations in the Median Plane

Zeitschrift für Naturforschung A ◽

10.1515/zna-1959-0205 ◽

1959 ◽

Vol 14 (2) ◽

pp. 121-129 ◽

Cited By ~ 20

Author(s):

H. A. Tasman ◽

A. J. H. Boerboom

Keyword(s):

Optical Properties ◽

Order Approximation ◽

Median Plane ◽

Second Order ◽

Central Path ◽

Resolving Power ◽

Lagrange Equations ◽

Magnetic Sector ◽

First Order ◽

First Order Approximation

Investigation is made of the ion optical properties of inhomogeneous magnetic sector fields. In first order approximation the field is assumed to vary proportional to r—n (0 ≦ n < 1); the term in the magnetic field expansion which determines the second order aberrations is chosen independent of n, which makes the elimination possible of e. g. the second order angular aberration. From the EULER— LAGRANGE equations the second order approximation of the ion trajectories in the median plane and the first order approximation outside the median plane are derived for the case of normal incidence and exit of the central path in the sector field. An equation is presented giving the shape of the pole faces required to produce the desired field. The influence of stray fields is neglected. The object ana image distances are derived, as well as the mass dispersion, the angular, lateral and axial magnification, the resolving power, and the inclination of the plane of focus of the mass spectrum. The maximum transmitted angle in the z-direction is calculated. The resolving power proves to be proportional to (1—n) -1 whereas the length of the central path is proportional to (1—n) -½. An actual example is given of a 180° sector field with n=0.91, where the mass resolving power is increased by a factor 11 as compared with a homogeneous sector field of the same radius and slit widths.

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Calculation of the Ion Optical Properties of Inhomogeneous Magnetic Sector Fields Part 3: Oblique Incidence and Exit at Curved Boundaries

Zeitschrift für Naturforschung A ◽

10.1515/zna-1959-0911 ◽

1959 ◽

Vol 14 (9) ◽

pp. 822-827 ◽

Cited By ~ 22

Author(s):

H. A. Tasman ◽

A. J. H. Boerboom ◽

H. Wachsmuth

Keyword(s):

Oblique Incidence ◽

Normal Incidence ◽

Second Order ◽

Resolving Power ◽

High Mass ◽

Curved Boundaries ◽

Magnetic Sector ◽

Mass Resolving Power ◽

Mass Dispersion ◽

Fringing Fields

In previous papers 1.2we presented the radial second order imaging properties of inhomogeneous magnetic sector fields with normal incidence and exit at plane boundaries. These fields may provide very high mass resolving power and mass dispersion without increase in radius or decrease of slit widths. In the present paper the calculations are extended to include the effect of oblique incidence and exit at curved boundaries. The influence of the fringing fields on axial focusing when the boundaries are oblique, is accounted for. It is shown that the second order angular aberration may Le eliminated by appropriate curvature of the boundaries.

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Second-order nonlinear optical properties of two chalcone derivatives: insights from sum-over-states

Physical Chemistry Chemical Physics ◽

10.1039/d0cp06469f ◽

2021 ◽

Author(s):

Jean Custodio ◽

Giulio Demetrius Creazo d'Oliveira ◽

Fernando Gotardo ◽

Leandro Cocca ◽

Leonardo De Boni ◽

...

Keyword(s):

Optical Properties ◽

Nonlinear Optical ◽

Theoretical Study ◽

Second Order ◽

Nonlinear Optical Properties ◽

Chalcone Derivatives

In the following study, a combined experimental and theoretical study of the nonlinear optical properties (NLO) of two chalcone derivatives, (E)-3-(2-methoxyphenyl)-1-(2-(phenylsulfonylamine)phenyl)prop-2-en-1-one (MPSP) and (E)-3-(3-nitrophenyl)-1-(2-(phenylsulfonylamine)phenyl)prop-2-en-1-one (NPSP) in DMSO is reported. Single...

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