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%
χ() 1= 2L c 2πσL()sin
χ() 1
χ
L
------–=
Lc
2
πσL()sin
χ() 1
χ
L
------–
⎝⎠
⎛⎞
2
=
4L
2πσL()
2
----------------------
⎩⎭
⎨⎬
⎧⎫
1c2πσL()sin–
A χ() 1
χ
L
---
⎝⎠
⎛⎞
2
–
⎩⎭
⎨⎬
⎧⎫
2
=
L2πσ×()
52⁄
J
52⁄
2πσ×()
χ()
1
2
---
1
πχ•
L
------------
⎝⎠
⎛⎞
cos+
⎩⎭
⎨⎬
⎧⎫
=
c2πσL()sin
2πσ 14L
2
σ
2
–()
------------------------------------------
χ() 0.54 0.46
πχ
L
------
⎝⎠
⎛⎞
cos+=
0.54
πσ
-----------
0.46()4πσL
2
•
π
2
2πσL()
2
–
---------------------------------------+
⎩⎭
⎨⎬
⎧⎫
2πσL()sin