Shimadzu IRAffinity-1, Instruction Manual

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Chapter 1 Principles, Description, and Functions of the IRAffinity-1
1-6
IRAffinity-1
Table 1.1 lists the IRAffinity-1 apodization parameters and their characteristics.
Table 1.1 Apodization Function
Notes: (a) A (
χ
) = 0 (|
χ
| > L)
(b) Ratio of the maximum submaxima peak size to the center peak size (shown in %).
The information in Table 1.1 supports using the "None" or "Box Car" ("Rectangular" Function) parameter for
samples requiring high resolution, such as gas, and the "Happ" ("Happ-Genzel" Function) or "Sqr. Triaug"
("Sqr-Triaug" Function) parameter, which has fewer submaxima peaks, when high resolution is unnecessary.
Parameter Apodization Function Instrument Function
Half-width
value
Submaxima
residue
None,
Box Car 0.605/L -21%
Triang 0.88/L +4.5%
Sqr. Triang 1.18/L 0.7%
Bessel 0.952/L -4.1%
Cos 1.00/L -2.7%
Happ 0.91/L -0.6%
A χ ( ) 1 = 2L c 2 πσ L ( ) sin
A χ ( ) 1
χ
L
------ – =
L c 2 πσ L ( ) sin
A
χ ( )
1
χ
L
------ –
⎝ ⎠
⎛ ⎞
2
=
4L
2 πσ L ( ) 2
----------------------
⎩ ⎭
⎨ ⎬
⎧ ⎫
1 c 2
πσ
L
( )
sin –
A
χ ( )
1
χ
L
---
⎝ ⎠
⎛ ⎞
2
–
⎩ ⎭
⎨ ⎬
⎧ ⎫
2
=
L 2
π σ × ( ) 5 2 ⁄
J
5 2 ⁄
2
π σ × ( )
A
χ ( )
1
2
---
1
π χ •
L
------------
⎝ ⎠
⎛ ⎞
cos +
⎩ ⎭
⎨ ⎬
⎧ ⎫
=
c 2 πσ L ( ) sin
2
πσ
1 4L
2 σ 2
–
( )
------------------------------------------
A
χ ( )
0.54 0.46
πχ
L
------
⎝ ⎠
⎛ ⎞
cos + =
0.54
πσ
-----------
0.46 ( ) 4 πσ L 2 •
π
2
2 πσ L ( )
2
–
--------------------------------------- +
⎩ ⎭
⎨ ⎬
⎧ ⎫
2 πσ L ( ) sin