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Chapter III CHN Analysis, FT IR …..<br />

Obviously, these are present in pure and amino acids doped KDP crystals. It<br />

is also interesting to note that P=O stretching vibration frequency practically<br />

remains unaltered for all crystals; notwithstanding , the frequencies of O=P-<br />

OH symmetric stretching and O-P-OH symmetric stretching vibrations of<br />

doped KDP crystals decrease with respect to pure KDP , which indicates the<br />

interaction of amino acids with KDP through hydrogen bonds of the particular<br />

groups. At the same time, the absorptions due O=P-OH bending exhibit larger<br />

values for amino acids doped crystals and the pure KDP crystals , which also<br />

further hints the interaction of amino acids with KDO through hydrogen bond.<br />

The force constant of particular diatomic atoms can be calculated from<br />

the particular absorption peak in FTIR spectrum. Considering a molecular<br />

model, where the nuclei are presented by point masses and the inter-atomic<br />

bonds as mass less spring which follows the Hooke’s law, the vibrations<br />

changes the inter atomic distance sinusoidally but the center of gravity<br />

remains the same. Therefore, at any time during the vibrations the atomic<br />

displacements are inversely proportional to the masses. If masses are<br />

expressed in the unified atomic masses (u) and the force constant is m-<br />

dyne/Å [1].<br />

<br />

.. <br />

1<br />

F<br />

<br />

<br />

M<br />

Where, 1303 is equal to (NA X 10 5 ) 1/2 / (2C)<br />

NA - Avogadro’s number, F - force constant.<br />

1<br />

<br />

.. 1303 ....<br />

..<br />

....<br />

..<br />

..<br />

142<br />

(3.1)<br />

By taking into account this simple model, the force constant for O-H<br />

vibrations at 3600 cm -1 was found to be 7.2 is m-dyne /Å [1]. In the present<br />

study, the force constants for O-H bond are calculated for pure and various<br />

1<br />

M<br />

2

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